# PORTAL: Computation
> **Permissions to request up front (house rule, MTN 2026-09-22).** Any agent that works this page — its spine, the worklists at its foot, or its shard — states before its first tool call every permission the run will need and asks for all of them in one round: (1) browser-pane site access, scope *site*: en.wikipedia.org (title and oldid verification), wikitube-3d-microsims.netlify.app (200-checks of players), cdn.jsdelivr.net (library pins), and gutenberg.org / archive.org / ntrs.nasa.gov only if a book is re-fetched; (2) folder access to the vault root (`en.wikitube.io/`) and, for a deploy pass, to `_3d_deploy_stage/`; (3) no `WT!` authorization is needed for this page — it is an ordinary portal — but touching `WT!Space_Mining_In_Minnesota` or its `PORTAL_WT!` page needs MTN's (WIKI_RULES §1, §11); (4) no delete permission — everything here is append-only; (5) production deploy is MTN's: the run stages into `_3d_deploy_stage/<set>/` and hands over the deploy script. Nothing else.
**Computation** — the mathematics every microsim on the wiki runs — quantity, relation, solve, integrate, estimate, optimise, decide — with the Space Mining spine as its first customer and every other portal as the next. It is the megalith: it ties the seven lesser portals together and runs through the entire wiki, so every row here names the apex sections it serves, and the seven sibling portals reach it through their Crosslinks. Thirty sections in six parts, thirty Main articles, one three.js microsim per section, and one hero: **The Computation Line**, an instance of the Master Portal Hero. Index: [[PORTAL_INDEX]] · apex: [[PORTAL_WT!Space_Mining_In_Minnesota]] · hub: [[PORTAL_Centers_of_Excellence]].
**On the spine:** [[PORTAL_WT!Space_Mining_In_Minnesota]] · [[WT!Space_Mining_In_Minnesota]] · the siblings in service (Crosslinks) · hub [[PORTAL_Centers_of_Excellence]].
## How to read this page
The Spine table is the map: one row per section, with the article, the microsim it plays and its build state. The six parts follow as a skeletal outline — one line per section with the sim brief, the equation and the apex sections it serves — for the models that will populate the child articles. Then the shelf, the crosslinks (siblings, the History, Lists and Glossaries of the field), the notes, the gallery, and at the foot the two worklists — the Microsim Worklist and the Article Worklist — in the house row grammar.
<!-- CMPSIM:BEGIN g38 CMP-HERO Computation_Line live -->
<div class="wt-sim" data-src="https://wikitube-3d-microsims.netlify.app/computation/Computation_Line.html" data-title="The Computation Line"></div>
<!-- CMPSIM:END -->
*The Computation Line (CMP-HERO, `computation/Computation_Line.html`, built and gated SHIP 2026-09-22, 36 URL states walked headless with an empty console; the player goes live with MTN's next production publish): one problem from each of five portals walked through measure, model, solve, integrate, estimate, optimise, decide; the uncertainty of the answer walks the chain, the bars count the arithmetic. Every section below is a stage or a component of it, and a child article embeds the hero locked on its own state (`?body=<id>&stage=<id>&embed=1`) until its section sim ships.*
## Spine
| # | Article | Reveal | Microsim | Node |
|---|---|---|---|---|
| ⊙ | [[PORTAL_Computation]] | three | `computation/Computation_Line.html` — The Computation Line, 36 URL states (`?body=&stage=&embed=1`); **built, SHIP** 2026-09-22, awaiting publish | CMP-HERO |
| | **Part I — Quantity: number, measure and figure** | | | |
| 1 | [[Measurement_uncertainty]] | three | `computation/Measurement_uncertainty.html` — queued (row CMP-001) | CMP-001 |
| 2 | [[Proportionality_(mathematics)]] | three | `computation/Proportionality_(mathematics).html` — queued (row CMP-002) | CMP-002 |
| 3 | [[Dimensional_analysis]] | three | `computation/Dimensional_analysis.html` — queued (row CMP-003) | CMP-003 |
| 4 | [[Logarithm]] | three | `computation/Logarithm.html` — queued (row CMP-004) | CMP-004 |
| 5 | [[Euclidean_geometry]] | three | `computation/Euclidean_geometry.html` — queued (row CMP-005) | CMP-005 |
| | **Part II — Relation: the functions the sims run** | | | |
| 6 | [[Mathematical_model]] | three | `computation/Mathematical_model.html` — queued (row CMP-006) | CMP-006 |
| 7 | [[Exponential_growth]] | three | `computation/Exponential_growth.html` — queued (row CMP-007) | CMP-007 |
| 8 | [[Power_law]] | three | `computation/Power_law.html` — queued (row CMP-008) | CMP-008 |
| 9 | [[Geometric_series]] | three | `computation/Geometric_series.html` — queued (row CMP-009) | CMP-009 |
| 10 | [[Conic_section]] | three | `computation/Conic_section.html` — queued (row CMP-010) | CMP-010 |
| | **Part III — Solve: algebra and linear systems** | | | |
| 11 | [[System_of_linear_equations]] | three | `computation/System_of_linear_equations.html` — queued (row CMP-011) | CMP-011 |
| 12 | [[Matrix_(mathematics)]] | three | `computation/Matrix_(mathematics).html` — queued (row CMP-012) | CMP-012 |
| 13 | [[Eigenvalues_and_eigenvectors]] | three | `computation/Eigenvalues_and_eigenvectors.html` — queued (row CMP-013) | CMP-013 |
| 14 | [[Least_squares]] | three | `computation/Least_squares.html` — queued (row CMP-014) | CMP-014 |
| 15 | [[Newton's_method]] | three | `computation/Newton's_method.html` — queued (row CMP-015) | CMP-015 |
| | **Part IV — Integrate: calculus and the numerics of motion** | | | |
| 16 | [[Derivative]] | three | `computation/Derivative.html` — queued (row CMP-016) | CMP-016 |
| 17 | [[Integral]] | three | `computation/Integral.html` — queued (row CMP-017) | CMP-017 |
| 18 | [[Ordinary_differential_equation]] | three | `computation/Ordinary_differential_equation.html` — queued (row CMP-018) | CMP-018 |
| 19 | [[Euler_method]] | three | `computation/Euler_method.html` — queued (row CMP-019) | CMP-019 |
| 20 | [[Runge–Kutta_methods]] | three | `computation/Runge–Kutta_methods.html` — queued (row CMP-020) | CMP-020 |
| | **Part V — Estimate: probability and statistics** | | | |
| 21 | [[Variance]] | three | `computation/Variance.html` — queued (row CMP-021) | CMP-021 |
| 22 | [[Sampling_(statistics)]] | three | `computation/Sampling_(statistics).html` — queued (row CMP-022) | CMP-022 |
| 23 | [[Normal_distribution]] | three | `computation/Normal_distribution.html` — queued (row CMP-023) | CMP-023 |
| 24 | [[Monte_Carlo_method]] | three | `computation/Monte_Carlo_method.html` — queued (row CMP-024) | CMP-024 |
| 25 | [[Kriging]] | three | the apex's `spacemining/Kriging.html` (SMM-012; in the apex queue) — membership, not a second build | CMP-025 |
| | **Part VI — Optimise and decide: extremes, logic and machines** | | | |
| 26 | [[Mathematical_optimization]] | three | `computation/Mathematical_optimization.html` — queued (row CMP-026) | CMP-026 |
| 27 | [[Inequality_(mathematics)]] | three | `computation/Inequality_(mathematics).html` — queued (row CMP-027) | CMP-027 |
| 28 | [[Boolean_algebra]] | three | `computation/Boolean_algebra.html` — queued (row CMP-028) | CMP-028 |
| 29 | [[Algorithm]] | three | `computation/Algorithm.html` — queued (row CMP-029) | CMP-029 |
| 30 | [[Cellular_automaton]] | three | `computation/Cellular_automaton.html` — queued (row CMP-030) | CMP-030 |
## The six parts (skeletal outline)
### Part I — Quantity: number, measure and figure
1. **Measurement uncertainty** — *Main article: [[Measurement_uncertainty]] · See also: [[Accuracy_and_precision]], [[Significant_figures]], [[Propagation_of_uncertainty]], [[Order_of_magnitude]].* A measured grade with error bars: slide the assay count and read how the uncertainty of the mean falls as 1/sqrt(n) — `u(mean) = s / sqrt(n)` (the arithmetic of error). Serves apex sections 12, 13.
2. **Proportionality** — *Main article: [[Proportionality_(mathematics)]] · See also: [[Ratio]], [[Rate_(mathematics)]], [[Percentage]], [[Parts-per_notation]].* Faraday's proportionality and a grade as a ratio: two sliders, one straight line through the origin, the constant read off the slope — `y = k x` (a straight line through the origin). Serves apex sections 1, 13, 19.
3. **Dimensional analysis** — *Main article: [[Dimensional_analysis]] · See also: [[International_System_of_Units]], [[Unit_of_measurement]], [[Conversion_of_units]], [[Buckingham_pi_theorem]].* KWh per kilogram, metres per second, cubic yards per ton: drag a quantity through a unit conversion chain and watch the dimensions cancel — `[E] = M L^2 T^-2` (units as algebra). Serves apex sections 7, 10, 16.
4. **Logarithm** — *Main article: [[Logarithm]] · See also: [[Exponential_function]], [[Natural_logarithm]], [[Common_logarithm]], [[Logarithmic_scale]].* The rocket equation on a log axis: mass ratio against delta-v is a straight line; the decibel and the pH as the same trick — `log(a b) = log a + log b` (the inverse of the exponential). Serves apex sections 7, 29.
5. **Euclidean geometry** — *Main article: [[Euclidean_geometry]] · See also: [[Euclid's_Elements]], [[Hilbert's_axioms]], [[Triangle]], [[Similarity_(geometry)]].* The shaft on a dipping deposit and the shear wedge: an inclined line, its angle and the trigonometry that prices it — Euclid's Book I on a mine cross-section — `sin, cos, tan of an angle` (angles and similar triangles). Serves apex sections 11, 15.
### Part II — Relation: the functions the sims run
6. **Mathematical model** — *Main article: [[Mathematical_model]] · See also: [[Scientific_modelling]], [[Computer_simulation]], [[Parameter]], [[Function_(mathematics)]].* One relation, many sliders: pick the Ore Line's stage and see its equation as a function of its inputs, with the assumptions listed — `y = f(x; parameters)` (what a model is). Serves apex sections 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30.
7. **Exponential growth** — *Main article: [[Exponential_growth]] · See also: [[Exponential_decay]], [[Doubling_time]], [[Compound_interest]], [[Half-life]].* The self-replicating factory and the rocket equation: slide the rate and watch the curve leave every line behind — `N(t) = N0 e^(k t)` (the function whose rate is itself). Serves apex sections 7, 25, 29.
8. **Power law** — *Main article: [[Power_law]] · See also: [[Kepler's_laws_of_planetary_motion]], [[Allometry]], [[Scale_invariance]], [[Log–log_plot]].* Bond's law, Kepler's third law and the learning curve on one log-log plot: the exponent is the slope — `y = a x^n` (a straight line on log-log axes). Serves apex sections 8, 16, 22, 28.
9. **Geometric series** — *Main article: [[Geometric_series]] · See also: [[Geometric_progression]], [[Series_(mathematics)]], [[Convergent_series]], [[Annuity]].* Discounting and recycling: each term a fixed fraction of the last; the sum converges to a/(1 - r) and NPV is that sum — `S = a / (1 - r)` (adding infinitely many shrinking terms). Serves apex sections 21, 28.
10. **Conic section** — *Main article: [[Conic_section]] · See also: [[Ellipse]], [[Parabola]], [[Hyperbola]], [[Eccentricity_(mathematics)]], [[Focus_(geometry)]].* Cut a cone with a plane and drag the plane: circle, ellipse, parabola, hyperbola — the four orbits a burn can make — `r = p / (1 + e cos(theta))` (the curves of gravity). Serves apex sections 3, 6, 8, 9.
### Part III — Solve: algebra and linear systems
11. **System of linear equations** — *Main article: [[System_of_linear_equations]] · See also: [[Gaussian_elimination]], [[Linear_equation]], [[Cramer's_rule]], [[Linear_algebra]].* The two-product balance as two lines crossing; add a third product and the picture becomes three planes meeting at a point — `A x = b` (unknowns that satisfy every equation at once). Serves apex sections 17, 30.
12. **Matrix** — *Main article: [[Matrix_(mathematics)]] · See also: [[Matrix_multiplication]], [[Determinant]], [[Invertible_matrix]], [[Transpose]].* The taconite flowsheet as a matrix: each stage a row, each stream a column; multiply and the tonnes route themselves — `y = M x` (a table that acts on a vector). Serves apex sections 1, 17, 18, 30.
13. **Eigenvalues and eigenvectors** — *Main article: [[Eigenvalues_and_eigenvectors]] · See also: [[Characteristic_polynomial]], [[Diagonalizable_matrix]], [[Principal_axis_theorem]], [[Mohr's_circle]].* Mohr's circle and L4/L5: turn the 2x2 matrix and find the directions it only stretches — principal stresses, stability — `M v = lambda v` (the directions a matrix does not turn). Serves apex sections 9, 15.
14. **Least squares** — *Main article: [[Least_squares]] · See also: [[Linear_regression]], [[Curve_fitting]], [[Residual_(numerical_analysis)]], [[Regression_analysis]].* Fit a variogram or a spectral curve: drag the points, watch the line that minimises the squared residuals — `min sum (y_i - f(x_i))^2` (the best line through scattered points). Serves apex sections 4, 12.
15. **Newton's method** — *Main article: [[Newton's_method]] · See also: [[Root-finding_algorithm]], [[Bisection_method]], [[Iterative_method]], [[Fixed-point_iteration]].* Kepler's equation and the cutoff grade: guess, correct along the tangent, repeat; watch the digits lock in — `x_(n+1) = x_n - f(x_n)/f'(x_n)` (solving what has no formula). Serves apex sections 6, 13.
### Part IV — Integrate: calculus and the numerics of motion
16. **Derivative** — *Main article: [[Derivative]] · See also: [[Differential_calculus]], [[Slope]], [[Tangent]], [[Chain_rule]].* Velocity from position, power from energy: slide a point along a curve and read the tangent's slope — `f'(x) = lim (f(x+h) - f(x))/h` (the rate of change). Serves apex sections 6, 10, 24.
17. **Integral** — *Main article: [[Integral]] · See also: [[Fundamental_theorem_of_calculus]], [[Riemann_sum]], [[Antiderivative]].* Bond's energy integral and the work of a cut: sum thin slices under a curve and watch the Riemann sum converge — `int f(x) dx = lim sum f(x_i) dx` (the area under the curve). Serves apex sections 15, 16.
18. **Ordinary differential equation** — *Main article: [[Ordinary_differential_equation]] · See also: [[Differential_equation]], [[Initial_value_problem]], [[Linear_differential_equation]], [[Newton's_laws_of_motion]].* A tool cooling in vacuum and a mass in orbit: the same shape — a rate that depends on the state — solved by stepping — `dy/dt = f(t, y)` (a law about rates). Serves apex sections 6, 9, 24, 27.
19. **Euler method** — *Main article: [[Euler_method]] · See also: [[Numerical_methods_for_ordinary_differential_equations]], [[Truncation_error]], [[Numerical_stability]], [[Discretization]].* Step an orbit with Euler and watch it spiral out; halve the step and the drift halves — `y_(n+1) = y_n + h f(t_n, y_n)` (the simplest step). Serves apex sections 6, 9.
20. **Runge–Kutta methods** — *Main article: [[Runge–Kutta_methods]] · See also: [[Midpoint_method]], [[Adaptive_step_size]], [[Verlet_integration]], [[Symplectic_integrator]].* The same orbit with RK4: four slopes per step and the error falls as h^4; compare energies side by side — `y_(n+1) = y_n + h (k1 + 2k2 + 2k3 + k4)/6` (four slopes per step). Serves apex sections 6, 9, 24, 27.
### Part V — Estimate: probability and statistics
21. **Variance** — *Main article: [[Variance]] · See also: [[Standard_deviation]], [[Average]], [[Expected_value]], [[Covariance]].* The spread of assays around their mean: drag samples and watch the variance and the standard deviation move — `Var(X) = E[(X - mu)^2]` (how far the samples spread). Serves apex sections 12, 13, 24.
22. **Sampling** — *Main article: [[Sampling_(statistics)]] · See also: [[Sample_size_determination]], [[Sampling_error]], [[Standard_error]], [[Central_limit_theorem]].* Hoover's assay-foot average: take n samples of a hidden deposit and watch the estimate settle as 1/sqrt(n) — `SE = sigma / sqrt(n)` (the error of an average). Serves apex sections 12, 13.
23. **Normal distribution** — *Main article: [[Normal_distribution]] · See also: [[Log-normal_distribution]], [[Probability_distribution]], [[68–95–99.7_rule]], [[Probability_density_function]].* Grades and particle sizes: the bell and its log-normal cousin; slide mu and sigma and read the tails — `f(x) = exp(-(x-mu)^2 / 2 sigma^2) / (sigma sqrt(2 pi))` (the bell curve). Serves apex sections 13, 16.
24. **Monte Carlo method** — *Main article: [[Monte_Carlo_method]] · See also: [[Random_number_generation]], [[Pseudorandom_number_generator]], [[Law_of_large_numbers]], [[Uncertainty_quantification]].* A tolerance stack by dice: draw ten parts a thousand times and watch the root-sum-square appear in the histogram — `sigma_total = sqrt(sum sigma_i^2)` (throwing dice at a formula). Serves apex sections 24, 28.
25. **Kriging** — *Main article: [[Kriging]] · See also: [[Geostatistics]], [[Variogram]], [[Interpolation]], [[Gaussian_process]].* The ore-body estimate as a weighted average whose weights come from a linear system with a Lagrange multiplier — the Space Mining sim reused — `Z* = sum lambda_i Z_i, sum lambda_i = 1` (the best linear unbiased estimate). Serves apex sections 12.
### Part VI — Optimise and decide: extremes, logic and machines
26. **Mathematical optimization** — *Main article: [[Mathematical_optimization]] · See also: [[Golden-section_search]], [[Gradient_descent]], [[Linear_programming]], [[Lagrange_multiplier]].* The shear angle that costs least force and the radiator temperature that weighs least: walk the curve to its minimum by golden section — `x* = argmin f(x)` (finding the least). Serves apex sections 9, 15, 27.
27. **Inequality** — *Main article: [[Inequality_(mathematics)]] · See also: [[Break-even_point]], [[Feasible_region]], [[Constraint_(mathematics)]], [[Triangle_inequality]].* Ore or waste, open pit or underground, pay or not: the line that decides, drawn in the plane of price and cost — `grade x recovery x price > cost` (the line that decides). Serves apex sections 11, 13, 28.
28. **Boolean algebra** — *Main article: [[Boolean_algebra]] · See also: [[George_Boole]], [[Logic_gate]], [[Truth_table]], [[Propositional_logic]].* Boole's laws of thought as switches: AND, OR, NOT on the sim's warning lights (cold welding, escape reached, payable) — `x AND y, x OR y, NOT x` (true and false as arithmetic). Serves apex sections 24, 28.
29. **Algorithm** — *Main article: [[Algorithm]] · See also: [[Computational_complexity]], [[Big_O_notation]], [[Sorting_algorithm]], [[Pseudocode]].* Count the operations: the kriging solve grows as n^3, the Monte Carlo as n, the Euler step as 1 — the bars of the Computation Line — `T(n) = O(n^k)` (how much arithmetic a method costs). Serves apex sections 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30.
30. **Cellular automaton** — *Main article: [[Cellular_automaton]] · See also: [[Von_Neumann_cellular_automaton]], [[Conway's_Game_of_Life]], [[Von_Neumann_universal_constructor]], [[John_von_Neumann]].* Von Neumann's proof that a machine can copy itself, run on a grid: a pattern that builds a copy of itself, the closure ratio made visible — `s_(t+1) = rule(neighbourhood)` (a rule on a grid). Serves apex sections 25.
## Book shelf
The shelf of the run's library that serves this portal (`Space Mining Project Placeholder Assets/Wikitube_Three_Rulebooks_2026-09-22/books/`, with `BOOK_REVIEW.md` for what each yields):
| Book | Author, year | Licence | Where it serves |
|---|---|---|---|
| *An Investigation of the Laws of Thought* | George Boole, 1854 | PD (Gutenberg) | `books/compute` |
| *The Foundations of Geometry* | David Hilbert (tr. E. J. Townsend), 1899 (tr. 1902) | PD (Gutenberg) | `books/compute` |
| *The First Six Books of the Elements of Euclid* | Euclid; John Casey (ed.), 1885 | PD (Gutenberg) | `books/compute` |
| *Algebraic Topology* | Allen Hatcher, 2002 (author edition) | Author-hosted free edition (copyright Allen Hatcher; free… | `books/compute` |
| *The Principles of Mathematics* | Bertrand Russell, 1903 | PD (1903) | `books/compute` |
| *Principia Mathematica Vol. 1* | A. N. Whitehead and B. Russell, 1910 | PD (1910) | `books/compute` |
| *Complete works of Yakov Perelman (11 files)* | Yakov Perelman, 1913-1950s (Mir/FLPH editions) | Mir/FLPH editions (public domain in Russia; check US status… | `books/perelman` |
## Crosslinks
**Apex:** [[PORTAL_WT!Space_Mining_In_Minnesota]] — the spine this portal serves — and its flagship [[WT!Space_Mining_In_Minnesota]] (MTN's room).
**Siblings in service:** [[PORTAL_Physics]] · [[PORTAL_Chemistry]] · [[PORTAL_Engineering]] · [[PORTAL_Space]] · [[PORTAL_Mining]] · [[PORTAL_Manufacturing]] · [[PORTAL_Minnesota]].
**History · Lists · Glossaries** (verified against the English Wikipedia API on 2026-09-22 (exact titles)): [[History_of_mathematics]] · [[History_of_calculus]] · [[History_of_logarithms]] · [[History_of_geometry]] · [[History_of_computing]] · [[History_of_information_theory]] · [[Glossary_of_areas_of_mathematics]] · [[Glossary_of_probability_and_statistics]] · [[Glossary_of_linear_algebra]] · [[Glossary_of_computer_science]].
**Rooms already on the index** ([[PORTAL_INDEX]] rows): [[PORTAL_Centers_of_Excellence]] · [[PORTAL_WT!Thury_Hydrodynamics_Compendium]] · [[PORTAL_Solar_System]] · [[PORTAL_Rocketry]] · [[PORTAL_Energy]] · [[PORTAL_Materials_science]] · [[PORTAL_Robotics]] · [[PORTAL_Geometry]].
## Notes
1. **What this page is.** The Computation spine *in service of* [[PORTAL_WT!Space_Mining_In_Minnesota]]: thirty sections chosen for what they supply to the apex, each with its Main article, its See-also children, a one-line sim brief with the equation the sim runs and the apex sections it serves. It is a skeletal outline by design (MTN, 2026-09-22): less advanced models populate the child articles and their sims from the two worklists at the foot, with the hero as the model of the house pattern.
2. **Slugs.** Every article slug is the exact current English Wikipedia title, resolved through the API on 2026-09-22 (redirects followed to their targets, disambiguation and non-existent titles dropped before the spine was fixed); `rev:` on every worklist row pins the revision.
3. **Build state.** The hero `computation/Computation_Line.html` is built and gated SHIP (rendered, zero console, sweep clean, 11 draw calls; `tools/gate.sh`, 2026-09-22) and its 36 URL states were walked headless; it is staged, not deployed — production is MTN's (style guide §12.10: a player replaces a placeholder only after a 200-check). Of the thirty section sims, 0 reuse a player a portal page already carries (none), 1 reuses the apex spine's (SMM-012), and the other 29 are queued as specs of their own.
4. **One article, several portals.** A section whose Main article is also an apex Main article is a *reuse* row: the apex owns the article and the sim, this portal adds membership (shared contract §1); the same holds for See-also titles the apex already carries. Available reads 0 on this page for the same reason as on the apex: nothing is verified live yet.
5. **The megalith.** Computation runs through the entire wiki: every *Computation:* line on the apex flagship names a section here (the plan's §6 map), and the reviewer's 25 briefs (BOOK_REVIEW.md) sit at the foot as Priority C with their page-and-line locators in Boole, Hilbert, Euclid, Hatcher, Russell, Levin and Perelman. Registry id: the rulebook package calls this portal `PORTAL_Compute`; this wiki files it as `PORTAL_Computation` with that id as its alias.
6. **Worklist mechanics.** Rows are claimed, heart-beaten and closed only through the queue tool on the shard (`Style Guide and Worklist/PORTAL_Computation.worklist.md`); a row turns ✅ only with a live URL. The two lists here, the shard and `worklists/PORTAL_Computation/jobs.json` are projections of one record, regenerated together by `build_portals9.py` (kept with the item-9 checkpoint).
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## Play every microsim on this page
<p class="microsim-gallery-note">Every microsim linked from this portal's in-service spine. <strong>1 player</strong> — 1 threejs. It is built and staged but not yet deployed and shows as a placeholder; the section sims join here as they ship and answer 200.</p>
<ul class="microsim-gallery">
<li class="microsim-card is-pending" data-lib="threejs">
<div class="ms-placeholder">Staged, not yet deployed — <code>computation/Computation_Line.html</code> (built, gate SHIP 2026-09-22; 36 URL states walked)</div>
<div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/PORTAL_Computation">The Computation Line</a></div><div class="ms-sub">threejs · awaiting production publish (MTN) · on <a href="https://en.wikitube.io/wiki/PORTAL_Computation">Computation</a></div></div>
</li>
</ul>
<!-- SIMGALLERY:END -->
<!-- CRAFT-LINK:START g12 -->
**Craft standard:** Both craft standards apply here — [[WT!Three_js_Microsim_Master_Class|three.js]] and [[WT!P5_js_Microsim_Master_Class|p5.js]]; the framework contract is `Style Guide and Worklist/MICROSIM_GUIDE/01_Core_Guide.md` and the spine rule is style guide §7.5.
<!-- CRAFT-LINK:END -->
<!-- WIKITUBE:MICROSIM-WORKLISTS:BEGIN -->
## Microsim libraries and worklists
Coverage: complete within declared bounds — the 30 sections and 120 See-also associations of this portal's spine (150 distinct titles), not a crawl of Wikipedia. Examined: every title against the English Wikipedia API on 2026-09-22 (redirects followed, missing and disambiguation titles dropped before the spine was fixed), the apex spine's rows (for shared articles), the three existing portal pages (for players already carried), the framework's `specs/sims/` (the hero built) and the run's book shelf. Pending/failed: the live 200-check of the hero and of the existing players is not performed — production deploy is MTN's and the sim host was not in this run's approved browser-pane sites (item 10). Last evaluated: 2026-09-22 (this run). Stopping rule: the spine's rows; no title outside them was scored.
Published assets and pending work are counted separately. Unknown coverage is not zero opportunity.
### Reader-facing libraries
| Library | Available artifacts | Ready jobs | In progress/review | Needs enrichment | Candidates | Failed/stale | Worklist |
|---|---:|---:|---:|---:|---:|---:|---|
| Three.js (primary presentation; the spine rule, style guide §7.5) | 0 (no current artifact verified live) | 29 (section sims with a brief and a pinned revision) | 1 (The Computation Line, the hero: built and gated SHIP, staged, awaiting MTN's publish) | 3 (3 rows owned by the apex or a sibling portal awaiting that build, 0 existing players and the shared rows awaiting a 200-check) | 124 (See-also variants and the 25 reviewer briefs) | 0 | `worklists/PORTAL_Computation/threejs/worklist.md` |
| p5.js (primary presentation) | 0 | 0 | 0 | 0 | 19 (reviewer briefs in the reviewer's engine; re-routed to three.js at build time by the spine rule) | 0 | `worklists/PORTAL_Computation/p5js/worklist.md` |
| Native portrait (asset, no JavaScript) | 0 | 0 | 0 | 2 (biography rows: Commons portrait, licence and credit not yet verified, §14) | 0 | 0 | `worklists/PORTAL_Computation/native-portrait/worklist.md` |
| 30 other registered libraries | Not scanned | Not scanned | — | — | — | — | `worklists/PORTAL_Computation/INDEX.md` (one folder each; the profile's `other` list names jsxgraph, mathjs, cytoscape, markmap, mermaid, xstate, plotly, d3 as candidates — no job proposed this run) |
### Integration and platform services
| Library/service | Approved components | Open work | Blocked work | Consumers | Worklist |
|---|---:|---:|---:|---|---|
| `libs/wt-hero.js` (integration: the Master Portal Hero) | 1 (the template; nine instances built and gated SHIP across the nine portals) | 0 | 0 | CMP-HERO | `worklists/PORTAL_Computation/threejs/worklist.md` § Integration |
| `specs/portals/PORTAL_Computation.pack.json` (integration: kicker, palette, camera, `permissions_up_front`; set `computation/`) | 1 | 0 | 0 | every `computation/` spec | same |
| `tools/shots_hero.mjs` + `tools/bench.js` (service: the headless state walk and the gate) | 1 | 0 | 0 | the hero (36 states walked, console empty) | same |
| `_3d_deploy_stage/deploy_spacemining.sh` (service: stage + MTN's production publish + URL verification, one script for all nine sets) | 0 | 1 (item 10) | 1 (production is MTN's) | the hero and every player above | same |
Full index: `Style Guide and Worklist/worklists/PORTAL_Computation/INDEX.md` (resolved local vault path; no public URL is claimed for it). This section indexes existing outputs and proposed work; it does not itself publish a microsim.
## Microsim Worklist
> **Permissions to request up front:** see the block at the head of this page — ask for all of them in one round before the first tool call (browser-pane sites, vault folder, no WT! scope needed here, no deletes, deploy is MTN's).
Row grammar (style guide §11.1): ``- [ ] [[Slug]] — engine · pattern · `equation` · what the viewer does · id · prio · type · rev``. Lifecycle markers (§11.2) are appended, never edited into the row. `type:` is `hero` (the Master Portal Hero instance), `section sim` (a spec of its own in `specs/sims/`, set `computation/`), `existing sim` (a player one of the portal pages already carries — the row names which — to re-verify), `reuse` (a section whose article and sim belong to the apex spine `WT!Space_Mining_In_Minnesota` — this portal adds membership, never a second build), `variant` (a See-also article's sim, `extends` the section's spec) and, on the Computation page, `brief` (a reviewer-sourced brief with book locators). `serves:SMM n` names the apex sections the row is in service of. The canonical record is `worklists/PORTAL_Computation/jobs.json`; this list and the shard `Style Guide and Worklist/PORTAL_Computation.worklist.md` are projections of it, regenerated together by `build_portals9.py`.
### Microsim To Do
#### The hero
- [ ] [[PORTAL_Computation]] — three · Master Portal Hero (chain+bars+ledger) · `ledger per stage` · one problem from each of five portals walked through measure, model, solve, integrate, estimate, optimise, decide; the uncertainty of the answer walks the chain, the bars count the arithmetic; 36 URL states · id:CMP-HERO · prio:A · type:hero · libs:hero *🧪 built SHIP 2026-09-22 — 36 states walked headless (`tools/shots_hero.mjs`), staged in `Style Guide and Worklist/MICROSIM_GUIDE/site/computation/Computation_Line.html`, awaiting MTN's production publish*
#### Priority A — the thirty section sims (29 new, 1 reused from the apex or a sibling portal, 0 existing players)
- [ ] [[Measurement_uncertainty]] — three · section sim · `u(mean) = s / sqrt(n)` · a measured grade with error bars: slide the assay count and read how the uncertainty of the mean falls as 1/sqrt(n) · id:CMP-001 · prio:A · type:section sim · rev:1367370535 · section:1 (Measurement uncertainty) · serves:SMM 12,13
- [ ] [[Proportionality_(mathematics)]] — three · section sim · `y = k x` · Faraday's proportionality and a grade as a ratio: two sliders, one straight line through the origin, the constant read off the slope · id:CMP-002 · prio:A · type:section sim · rev:1375767071 · section:2 (Proportionality) · serves:SMM 1,13,19
- [ ] [[Dimensional_analysis]] — three · section sim · `[E] = M L^2 T^-2` · kWh per kilogram, metres per second, cubic yards per ton: drag a quantity through a unit conversion chain and watch the dimensions cancel · id:CMP-003 · prio:A · type:section sim · rev:1375131727 · section:3 (Dimensional analysis) · serves:SMM 7,10,16
- [ ] [[Logarithm]] — three · section sim · `log(a b) = log a + log b` · the rocket equation on a log axis: mass ratio against delta-v is a straight line; the decibel and the pH as the same trick · id:CMP-004 · prio:A · type:section sim · rev:1372866240 · section:4 (Logarithm) · serves:SMM 7,29
- [ ] [[Euclidean_geometry]] — three · section sim · `sin, cos, tan of an angle` · the shaft on a dipping deposit and the shear wedge: an inclined line, its angle and the trigonometry that prices it — Euclid's Book I on a mine cross-section · id:CMP-005 · prio:A · type:section sim · rev:1375451931 · section:5 (Euclidean geometry) · serves:SMM 11,15
- [ ] [[Mathematical_model]] — three · section sim · `y = f(x; parameters)` · one relation, many sliders: pick the Ore Line's stage and see its equation as a function of its inputs, with the assumptions listed · id:CMP-006 · prio:A · type:section sim · rev:1371929493 · section:6 (Mathematical model) · serves:SMM 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30
- [ ] [[Exponential_growth]] — three · section sim · `N(t) = N0 e^(k t)` · the self-replicating factory and the rocket equation: slide the rate and watch the curve leave every line behind · id:CMP-007 · prio:A · type:section sim · rev:1375556011 · section:7 (Exponential growth) · serves:SMM 7,25,29
- [ ] [[Power_law]] — three · section sim · `y = a x^n` · Bond's law, Kepler's third law and the learning curve on one log-log plot: the exponent is the slope · id:CMP-008 · prio:A · type:section sim · rev:1371936803 · section:8 (Power law) · serves:SMM 8,16,22,28
- [ ] [[Geometric_series]] — three · section sim · `S = a / (1 - r)` · discounting and recycling: each term a fixed fraction of the last; the sum converges to a/(1 - r) and NPV is that sum · id:CMP-009 · prio:A · type:section sim · rev:1373309957 · section:9 (Geometric series) · serves:SMM 21,28
- [ ] [[Conic_section]] — three · section sim · `r = p / (1 + e cos(theta))` · cut a cone with a plane and drag the plane: circle, ellipse, parabola, hyperbola — the four orbits a burn can make · id:CMP-010 · prio:A · type:section sim · rev:1374364404 · section:10 (Conic section) · serves:SMM 3,6,8,9
- [ ] [[System_of_linear_equations]] — three · section sim · `A x = b` · the two-product balance as two lines crossing; add a third product and the picture becomes three planes meeting at a point · id:CMP-011 · prio:A · type:section sim · rev:1369981799 · section:11 (System of linear equations) · serves:SMM 17,30
- [ ] [[Matrix_(mathematics)]] — three · section sim · `y = M x` · the taconite flowsheet as a matrix: each stage a row, each stream a column; multiply and the tonnes route themselves · id:CMP-012 · prio:A · type:section sim · rev:1374809925 · section:12 (Matrix) · serves:SMM 1,17,18,30
- [ ] [[Eigenvalues_and_eigenvectors]] — three · section sim · `M v = lambda v` · Mohr's circle and L4/L5: turn the 2x2 matrix and find the directions it only stretches — principal stresses, stability · id:CMP-013 · prio:A · type:section sim · rev:1368844750 · section:13 (Eigenvalues and eigenvectors) · serves:SMM 9,15
- [ ] [[Least_squares]] — three · section sim · `min sum (y_i - f(x_i))^2` · fit a variogram or a spectral curve: drag the points, watch the line that minimises the squared residuals · id:CMP-014 · prio:A · type:section sim · rev:1374800160 · section:14 (Least squares) · serves:SMM 4,12
- [ ] [[Newton's_method]] — three · section sim · `x_(n+1) = x_n - f(x_n)/f'(x_n)` · Kepler's equation and the cutoff grade: guess, correct along the tangent, repeat; watch the digits lock in · id:CMP-015 · prio:A · type:section sim · rev:1375026664 · section:15 (Newton's method) · serves:SMM 6,13
- [ ] [[Derivative]] — three · section sim · `f'(x) = lim (f(x+h) - f(x))/h` · velocity from position, power from energy: slide a point along a curve and read the tangent's slope · id:CMP-016 · prio:A · type:section sim · rev:1375872100 · section:16 (Derivative) · serves:SMM 6,10,24
- [ ] [[Integral]] — three · section sim · `int f(x) dx = lim sum f(x_i) dx` · Bond's energy integral and the work of a cut: sum thin slices under a curve and watch the Riemann sum converge · id:CMP-017 · prio:A · type:section sim · rev:1375764364 · section:17 (Integral) · serves:SMM 15,16
- [ ] [[Ordinary_differential_equation]] — three · section sim · `dy/dt = f(t, y)` · a tool cooling in vacuum and a mass in orbit: the same shape — a rate that depends on the state — solved by stepping · id:CMP-018 · prio:A · type:section sim · rev:1376225589 · section:18 (Ordinary differential equation) · serves:SMM 6,9,24,27
- [ ] [[Euler_method]] — three · section sim · `y_(n+1) = y_n + h f(t_n, y_n)` · step an orbit with Euler and watch it spiral out; halve the step and the drift halves · id:CMP-019 · prio:A · type:section sim · rev:1370719415 · section:19 (Euler method) · serves:SMM 6,9
- [ ] [[Runge–Kutta_methods]] — three · section sim · `y_(n+1) = y_n + h (k1 + 2k2 + 2k3 + k4)/6` · the same orbit with RK4: four slopes per step and the error falls as h^4; compare energies side by side · id:CMP-020 · prio:A · type:section sim · rev:1371953488 · section:20 (Runge–Kutta methods) · serves:SMM 6,9,24,27
- [ ] [[Variance]] — three · section sim · `Var(X) = E[(X - mu)^2]` · the spread of assays around their mean: drag samples and watch the variance and the standard deviation move · id:CMP-021 · prio:A · type:section sim · rev:1368633150 · section:21 (Variance) · serves:SMM 12,13,24
- [ ] [[Sampling_(statistics)]] — three · section sim · `SE = sigma / sqrt(n)` · Hoover's assay-foot average: take n samples of a hidden deposit and watch the estimate settle as 1/sqrt(n) · id:CMP-022 · prio:A · type:section sim · rev:1375701110 · section:22 (Sampling) · serves:SMM 12,13
- [ ] [[Normal_distribution]] — three · section sim · `f(x) = exp(-(x-mu)^2 / 2 sigma^2) / (sigma sqrt(2 pi))` · grades and particle sizes: the bell and its log-normal cousin; slide mu and sigma and read the tails · id:CMP-023 · prio:A · type:section sim · rev:1376230387 · section:23 (Normal distribution) · serves:SMM 13,16
- [ ] [[Monte_Carlo_method]] — three · section sim · `sigma_total = sqrt(sum sigma_i^2)` · a tolerance stack by dice: draw ten parts a thousand times and watch the root-sum-square appear in the histogram · id:CMP-024 · prio:A · type:section sim · rev:1372573790 · section:24 (Monte Carlo method) · serves:SMM 24,28
- [ ] [[Kriging]] — three · reuse of SMM-012 · `Z* = sum lambda_i Z_i, sum lambda_i = 1` · the ore-body estimate as a weighted average whose weights come from a linear system with a Lagrange multiplier — the Space Mining sim reused · id:CMP-025 · prio:A · type:reuse · rev:1373716263 · section:25 (Kriging) · serves:SMM 12 · reuse:`spacemining/Kriging.html` (SMM-012; in the apex build queue)
- [ ] [[Mathematical_optimization]] — three · section sim · `x* = argmin f(x)` · the shear angle that costs least force and the radiator temperature that weighs least: walk the curve to its minimum by golden section · id:CMP-026 · prio:A · type:section sim · rev:1376168042 · section:26 (Mathematical optimization) · serves:SMM 9,15,27
- [ ] [[Inequality_(mathematics)]] — three · section sim · `grade x recovery x price > cost` · ore or waste, open pit or underground, pay or not: the line that decides, drawn in the plane of price and cost · id:CMP-027 · prio:A · type:section sim · rev:1351959378 · section:27 (Inequality) · serves:SMM 11,13,28
- [ ] [[Boolean_algebra]] — three · section sim · `x AND y, x OR y, NOT x` · Boole's laws of thought as switches: AND, OR, NOT on the sim's warning lights (cold welding, escape reached, payable) · id:CMP-028 · prio:A · type:section sim · rev:1368725040 · section:28 (Boolean algebra) · serves:SMM 24,28
- [ ] [[Algorithm]] — three · section sim · `T(n) = O(n^k)` · count the operations: the kriging solve grows as n^3, the Monte Carlo as n, the Euler step as 1 — the bars of the Computation Line · id:CMP-029 · prio:A · type:section sim · rev:1376037819 · section:29 (Algorithm) · serves:SMM 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30
- [ ] [[Cellular_automaton]] — three · section sim · `s_(t+1) = rule(neighbourhood)` · von Neumann's proof that a machine can copy itself, run on a grid: a pattern that builds a copy of itself, the closure ratio made visible · id:CMP-030 · prio:A · type:section sim · rev:1370110809 · section:30 (Cellular automaton) · serves:SMM 25
#### Priority B — See-also variants (120 rows, one per distinct title)
- [ ] [[Accuracy_and_precision]] — three · variant of CMP-001 · `u(mean) = s / sqrt(n)` · the Measurement uncertainty sim (CMP-001) opened on a preset or annotation for Accuracy and precision — `extends specs/sims/Measurement_uncertainty.json` as `specs/variants/Accuracy_and_precision.json` · id:CMP-101 · prio:B · type:variant · rev:1373730938 · section:1 (Measurement uncertainty)
- [ ] [[Significant_figures]] — three · variant of CMP-001 · `u(mean) = s / sqrt(n)` · the Measurement uncertainty sim (CMP-001) opened on a preset or annotation for Significant figures — `extends specs/sims/Measurement_uncertainty.json` as `specs/variants/Significant_figures.json` · id:CMP-102 · prio:B · type:variant · rev:1376195923 · section:1 (Measurement uncertainty)
- [ ] [[Propagation_of_uncertainty]] — three · variant of CMP-001 · `u(mean) = s / sqrt(n)` · the Measurement uncertainty sim (CMP-001) opened on a preset or annotation for Propagation of uncertainty — `extends specs/sims/Measurement_uncertainty.json` as `specs/variants/Propagation_of_uncertainty.json` · id:CMP-103 · prio:B · type:variant · rev:1332173257 · section:1 (Measurement uncertainty)
- [ ] [[Order_of_magnitude]] — three · variant of CMP-001 · `u(mean) = s / sqrt(n)` · the Measurement uncertainty sim (CMP-001) opened on a preset or annotation for Order of magnitude — `extends specs/sims/Measurement_uncertainty.json` as `specs/variants/Order_of_magnitude.json` · id:CMP-104 · prio:B · type:variant · rev:1372911663 · section:1 (Measurement uncertainty)
- [ ] [[Ratio]] — three · variant of CMP-002 · `y = k x` · the Proportionality sim (CMP-002) opened on a preset or annotation for Ratio — `extends specs/sims/Proportionality_(mathematics).json` as `specs/variants/Ratio.json` · id:CMP-105 · prio:B · type:variant · rev:1375767691 · section:2 (Proportionality)
- [ ] [[Rate_(mathematics)]] — three · variant of CMP-002 · `y = k x` · the Proportionality sim (CMP-002) opened on a preset or annotation for Rate (mathematics) — `extends specs/sims/Proportionality_(mathematics).json` as `specs/variants/Rate_(mathematics).json` · id:CMP-106 · prio:B · type:variant · rev:1332634106 · section:2 (Proportionality)
- [ ] [[Percentage]] — three · variant of CMP-002 · `y = k x` · the Proportionality sim (CMP-002) opened on a preset or annotation for Percentage — `extends specs/sims/Proportionality_(mathematics).json` as `specs/variants/Percentage.json` · id:CMP-107 · prio:B · type:variant · rev:1359144253 · section:2 (Proportionality)
- [ ] [[Parts-per_notation]] — three · variant of CMP-002 · `y = k x` · the Proportionality sim (CMP-002) opened on a preset or annotation for Parts-per notation — `extends specs/sims/Proportionality_(mathematics).json` as `specs/variants/Parts-per_notation.json` · id:CMP-108 · prio:B · type:variant · rev:1359383611 · section:2 (Proportionality)
- [ ] [[International_System_of_Units]] — three · variant of CMP-003 · `[E] = M L^2 T^-2` · the Dimensional analysis sim (CMP-003) opened on a preset or annotation for International System of Units — `extends specs/sims/Dimensional_analysis.json` as `specs/variants/International_System_of_Units.json` · id:CMP-109 · prio:B · type:variant · rev:1375159616 · section:3 (Dimensional analysis)
- [ ] [[Unit_of_measurement]] — three · variant of CMP-003 · `[E] = M L^2 T^-2` · the Dimensional analysis sim (CMP-003) opened on a preset or annotation for Unit of measurement — `extends specs/sims/Dimensional_analysis.json` as `specs/variants/Unit_of_measurement.json` · id:CMP-110 · prio:B · type:variant · rev:1368744479 · section:3 (Dimensional analysis)
- [ ] [[Conversion_of_units]] — three · variant of CMP-003 · `[E] = M L^2 T^-2` · the Dimensional analysis sim (CMP-003) opened on a preset or annotation for Conversion of units — `extends specs/sims/Dimensional_analysis.json` as `specs/variants/Conversion_of_units.json` · id:CMP-111 · prio:B · type:variant · rev:1343863735 · section:3 (Dimensional analysis)
- [ ] [[Buckingham_pi_theorem]] — three · variant of CMP-003 · `[E] = M L^2 T^-2` · the Dimensional analysis sim (CMP-003) opened on a preset or annotation for Buckingham pi theorem — `extends specs/sims/Dimensional_analysis.json` as `specs/variants/Buckingham_pi_theorem.json` · id:CMP-112 · prio:B · type:variant · rev:1368546504 · section:3 (Dimensional analysis)
- [ ] [[Exponential_function]] — three · variant of CMP-004 · `log(a b) = log a + log b` · the Logarithm sim (CMP-004) opened on a preset or annotation for Exponential function — `extends specs/sims/Logarithm.json` as `specs/variants/Exponential_function.json` · id:CMP-113 · prio:B · type:variant · rev:1370424026 · section:4 (Logarithm)
- [ ] [[Natural_logarithm]] — three · variant of CMP-004 · `log(a b) = log a + log b` · the Logarithm sim (CMP-004) opened on a preset or annotation for Natural logarithm — `extends specs/sims/Logarithm.json` as `specs/variants/Natural_logarithm.json` · id:CMP-114 · prio:B · type:variant · rev:1375063233 · section:4 (Logarithm)
- [ ] [[Common_logarithm]] — three · variant of CMP-004 · `log(a b) = log a + log b` · the Logarithm sim (CMP-004) opened on a preset or annotation for Common logarithm — `extends specs/sims/Logarithm.json` as `specs/variants/Common_logarithm.json` · id:CMP-115 · prio:B · type:variant · rev:1369139150 · section:4 (Logarithm)
- [ ] [[Logarithmic_scale]] — three · variant of CMP-004 · `log(a b) = log a + log b` · the Logarithm sim (CMP-004) opened on a preset or annotation for Logarithmic scale — `extends specs/sims/Logarithm.json` as `specs/variants/Logarithmic_scale.json` · id:CMP-116 · prio:B · type:variant · rev:1334729722 · section:4 (Logarithm)
- [ ] [[Euclid's_Elements]] — three · variant of CMP-005 · `sin, cos, tan of an angle` · the Euclidean geometry sim (CMP-005) opened on a preset or annotation for Euclid's Elements — `extends specs/sims/Euclidean_geometry.json` as `specs/variants/Euclid's_Elements.json` · id:CMP-117 · prio:B · type:variant · rev:1374543094 · section:5 (Euclidean geometry)
- [ ] [[Hilbert's_axioms]] — three · variant of CMP-005 · `sin, cos, tan of an angle` · the Euclidean geometry sim (CMP-005) opened on a preset or annotation for Hilbert's axioms — `extends specs/sims/Euclidean_geometry.json` as `specs/variants/Hilbert's_axioms.json` · id:CMP-118 · prio:B · type:variant · rev:1374236865 · section:5 (Euclidean geometry)
- [ ] [[Triangle]] — three · variant of CMP-005 · `sin, cos, tan of an angle` · the Euclidean geometry sim (CMP-005) opened on a preset or annotation for Triangle — `extends specs/sims/Euclidean_geometry.json` as `specs/variants/Triangle.json` · id:CMP-119 · prio:B · type:variant · rev:1369029950 · section:5 (Euclidean geometry)
- [ ] [[Similarity_(geometry)]] — three · variant of CMP-005 · `sin, cos, tan of an angle` · the Euclidean geometry sim (CMP-005) opened on a preset or annotation for Similarity (geometry) — `extends specs/sims/Euclidean_geometry.json` as `specs/variants/Similarity_(geometry).json` · id:CMP-120 · prio:B · type:variant · rev:1376060739 · section:5 (Euclidean geometry)
- [ ] [[Scientific_modelling]] — three · variant of CMP-006 · `y = f(x; parameters)` · the Mathematical model sim (CMP-006) opened on a preset or annotation for Scientific modelling — `extends specs/sims/Mathematical_model.json` as `specs/variants/Scientific_modelling.json` · id:CMP-121 · prio:B · type:variant · rev:1371659107 · section:6 (Mathematical model)
- [ ] [[Computer_simulation]] — three · variant of CMP-006 · `y = f(x; parameters)` · the Mathematical model sim (CMP-006) opened on a preset or annotation for Computer simulation — `extends specs/sims/Mathematical_model.json` as `specs/variants/Computer_simulation.json` · id:CMP-122 · prio:B · type:variant · rev:1368373241 · section:6 (Mathematical model)
- [ ] [[Parameter]] — three · variant of CMP-006 · `y = f(x; parameters)` · the Mathematical model sim (CMP-006) opened on a preset or annotation for Parameter — `extends specs/sims/Mathematical_model.json` as `specs/variants/Parameter.json` · id:CMP-123 · prio:B · type:variant · rev:1371812800 · section:6 (Mathematical model)
- [ ] [[Function_(mathematics)]] — three · variant of CMP-006 · `y = f(x; parameters)` · the Mathematical model sim (CMP-006) opened on a preset or annotation for Function (mathematics) — `extends specs/sims/Mathematical_model.json` as `specs/variants/Function_(mathematics).json` · id:CMP-124 · prio:B · type:variant · rev:1374579623 · section:6 (Mathematical model)
- [ ] [[Exponential_decay]] — three · variant of CMP-007 · `N(t) = N0 e^(k t)` · the Exponential growth sim (CMP-007) opened on a preset or annotation for Exponential decay — `extends specs/sims/Exponential_growth.json` as `specs/variants/Exponential_decay.json` · id:CMP-125 · prio:B · type:variant · rev:1358231453 · section:7 (Exponential growth)
- [ ] [[Doubling_time]] — three · variant of CMP-007 · `N(t) = N0 e^(k t)` · the Exponential growth sim (CMP-007) opened on a preset or annotation for Doubling time — `extends specs/sims/Exponential_growth.json` as `specs/variants/Doubling_time.json` · id:CMP-126 · prio:B · type:variant · rev:1365310966 · section:7 (Exponential growth)
- [ ] [[Compound_interest]] — three · variant of CMP-007 · `N(t) = N0 e^(k t)` · the Exponential growth sim (CMP-007) opened on a preset or annotation for Compound interest — `extends specs/sims/Exponential_growth.json` as `specs/variants/Compound_interest.json` · id:CMP-127 · prio:B · type:variant · rev:1375691149 · section:7 (Exponential growth)
- [ ] [[Half-life]] — three · variant of CMP-007 · `N(t) = N0 e^(k t)` · the Exponential growth sim (CMP-007) opened on a preset or annotation for Half-life — `extends specs/sims/Exponential_growth.json` as `specs/variants/Half-life.json` · id:CMP-128 · prio:B · type:variant · rev:1373221894 · section:7 (Exponential growth)
- [ ] [[Kepler's_laws_of_planetary_motion]] — three · reuse of PHY-002 · `y = a x^n` · owned by PORTAL_Physics as row PHY-002 — the existing player `matter/Kepler's_laws_of_planetary_motion.html` that PORTAL_Physics carries (PORTAL_Physics's row re-verifies it, then adds the in-service preset); this portal adds membership only · id:CMP-129 · prio:B · type:reuse · rev:1374219016 · section:8 (Power law)
- [ ] [[Allometry]] — three · variant of CMP-008 · `y = a x^n` · the Power law sim (CMP-008) opened on a preset or annotation for Allometry — `extends specs/sims/Power_law.json` as `specs/variants/Allometry.json` · id:CMP-130 · prio:B · type:variant · rev:1372324972 · section:8 (Power law)
- [ ] [[Scale_invariance]] — three · variant of CMP-008 · `y = a x^n` · the Power law sim (CMP-008) opened on a preset or annotation for Scale invariance — `extends specs/sims/Power_law.json` as `specs/variants/Scale_invariance.json` · id:CMP-131 · prio:B · type:variant · rev:1359441415 · section:8 (Power law)
- [ ] [[Log–log_plot]] — three · variant of CMP-008 · `y = a x^n` · the Power law sim (CMP-008) opened on a preset or annotation for Log–log plot — `extends specs/sims/Power_law.json` as `specs/variants/Log–log_plot.json` · id:CMP-132 · prio:B · type:variant · rev:1372691901 · section:8 (Power law)
- [ ] [[Geometric_progression]] — three · variant of CMP-009 · `S = a / (1 - r)` · the Geometric series sim (CMP-009) opened on a preset or annotation for Geometric progression — `extends specs/sims/Geometric_series.json` as `specs/variants/Geometric_progression.json` · id:CMP-133 · prio:B · type:variant · rev:1374510268 · section:9 (Geometric series)
- [ ] [[Series_(mathematics)]] — three · variant of CMP-009 · `S = a / (1 - r)` · the Geometric series sim (CMP-009) opened on a preset or annotation for Series (mathematics) — `extends specs/sims/Geometric_series.json` as `specs/variants/Series_(mathematics).json` · id:CMP-134 · prio:B · type:variant · rev:1365704653 · section:9 (Geometric series)
- [ ] [[Convergent_series]] — three · variant of CMP-009 · `S = a / (1 - r)` · the Geometric series sim (CMP-009) opened on a preset or annotation for Convergent series — `extends specs/sims/Geometric_series.json` as `specs/variants/Convergent_series.json` · id:CMP-135 · prio:B · type:variant · rev:1369959868 · section:9 (Geometric series)
- [ ] [[Annuity]] — three · variant of CMP-009 · `S = a / (1 - r)` · the Geometric series sim (CMP-009) opened on a preset or annotation for Annuity — `extends specs/sims/Geometric_series.json` as `specs/variants/Annuity.json` · id:CMP-136 · prio:B · type:variant · rev:1373470628 · section:9 (Geometric series)
- [ ] [[Ellipse]] — three · variant of CMP-010 · `r = p / (1 + e cos(theta))` · the Conic section sim (CMP-010) opened on a preset or annotation for Ellipse — `extends specs/sims/Conic_section.json` as `specs/variants/Ellipse.json` · id:CMP-137 · prio:B · type:variant · rev:1374912483 · section:10 (Conic section)
- [ ] [[Parabola]] — three · variant of CMP-010 · `r = p / (1 + e cos(theta))` · the Conic section sim (CMP-010) opened on a preset or annotation for Parabola — `extends specs/sims/Conic_section.json` as `specs/variants/Parabola.json` · id:CMP-138 · prio:B · type:variant · rev:1374365692 · section:10 (Conic section)
- [ ] [[Hyperbola]] — three · variant of CMP-010 · `r = p / (1 + e cos(theta))` · the Conic section sim (CMP-010) opened on a preset or annotation for Hyperbola — `extends specs/sims/Conic_section.json` as `specs/variants/Hyperbola.json` · id:CMP-139 · prio:B · type:variant · rev:1374365422 · section:10 (Conic section)
- [ ] [[Eccentricity_(mathematics)]] — three · variant of CMP-010 · `r = p / (1 + e cos(theta))` · the Conic section sim (CMP-010) opened on a preset or annotation for Eccentricity (mathematics) — `extends specs/sims/Conic_section.json` as `specs/variants/Eccentricity_(mathematics).json` · id:CMP-140 · prio:B · type:variant · rev:1367213080 · section:10 (Conic section)
- [ ] [[Focus_(geometry)]] — three · variant of CMP-010 · `r = p / (1 + e cos(theta))` · the Conic section sim (CMP-010) opened on a preset or annotation for Focus (geometry) — `extends specs/sims/Conic_section.json` as `specs/variants/Focus_(geometry).json` · id:CMP-141 · prio:B · type:variant · rev:1311084369 · section:10 (Conic section)
- [ ] [[Gaussian_elimination]] — three · variant of CMP-011 · `A x = b` · the System of linear equations sim (CMP-011) opened on a preset or annotation for Gaussian elimination — `extends specs/sims/System_of_linear_equations.json` as `specs/variants/Gaussian_elimination.json` · id:CMP-142 · prio:B · type:variant · rev:1365416799 · section:11 (System of linear equations)
- [ ] [[Linear_equation]] — three · variant of CMP-011 · `A x = b` · the System of linear equations sim (CMP-011) opened on a preset or annotation for Linear equation — `extends specs/sims/System_of_linear_equations.json` as `specs/variants/Linear_equation.json` · id:CMP-143 · prio:B · type:variant · rev:1359797583 · section:11 (System of linear equations)
- [ ] [[Cramer's_rule]] — three · variant of CMP-011 · `A x = b` · the System of linear equations sim (CMP-011) opened on a preset or annotation for Cramer's rule — `extends specs/sims/System_of_linear_equations.json` as `specs/variants/Cramer's_rule.json` · id:CMP-144 · prio:B · type:variant · rev:1372102893 · section:11 (System of linear equations)
- [ ] [[Linear_algebra]] — three · variant of CMP-011 · `A x = b` · the System of linear equations sim (CMP-011) opened on a preset or annotation for Linear algebra — `extends specs/sims/System_of_linear_equations.json` as `specs/variants/Linear_algebra.json` · id:CMP-145 · prio:B · type:variant · rev:1375740037 · section:11 (System of linear equations)
- [ ] [[Matrix_multiplication]] — three · variant of CMP-012 · `y = M x` · the Matrix sim (CMP-012) opened on a preset or annotation for Matrix multiplication — `extends specs/sims/Matrix_(mathematics).json` as `specs/variants/Matrix_multiplication.json` · id:CMP-146 · prio:B · type:variant · rev:1374351709 · section:12 (Matrix)
- [ ] [[Determinant]] — three · variant of CMP-012 · `y = M x` · the Matrix sim (CMP-012) opened on a preset or annotation for Determinant — `extends specs/sims/Matrix_(mathematics).json` as `specs/variants/Determinant.json` · id:CMP-147 · prio:B · type:variant · rev:1376151493 · section:12 (Matrix)
- [ ] [[Invertible_matrix]] — three · variant of CMP-012 · `y = M x` · the Matrix sim (CMP-012) opened on a preset or annotation for Invertible matrix — `extends specs/sims/Matrix_(mathematics).json` as `specs/variants/Invertible_matrix.json` · id:CMP-148 · prio:B · type:variant · rev:1375820369 · section:12 (Matrix)
- [ ] [[Transpose]] — three · variant of CMP-012 · `y = M x` · the Matrix sim (CMP-012) opened on a preset or annotation for Transpose — `extends specs/sims/Matrix_(mathematics).json` as `specs/variants/Transpose.json` · id:CMP-149 · prio:B · type:variant · rev:1374772291 · section:12 (Matrix)
- [ ] [[Characteristic_polynomial]] — three · variant of CMP-013 · `M v = lambda v` · the Eigenvalues and eigenvectors sim (CMP-013) opened on a preset or annotation for Characteristic polynomial — `extends specs/sims/Eigenvalues_and_eigenvectors.json` as `specs/variants/Characteristic_polynomial.json` · id:CMP-150 · prio:B · type:variant · rev:1374542919 · section:13 (Eigenvalues and eigenvectors)
- [ ] [[Diagonalizable_matrix]] — three · variant of CMP-013 · `M v = lambda v` · the Eigenvalues and eigenvectors sim (CMP-013) opened on a preset or annotation for Diagonalizable matrix — `extends specs/sims/Eigenvalues_and_eigenvectors.json` as `specs/variants/Diagonalizable_matrix.json` · id:CMP-151 · prio:B · type:variant · rev:1360345349 · section:13 (Eigenvalues and eigenvectors)
- [ ] [[Principal_axis_theorem]] — three · variant of CMP-013 · `M v = lambda v` · the Eigenvalues and eigenvectors sim (CMP-013) opened on a preset or annotation for Principal axis theorem — `extends specs/sims/Eigenvalues_and_eigenvectors.json` as `specs/variants/Principal_axis_theorem.json` · id:CMP-152 · prio:B · type:variant · rev:1255082547 · section:13 (Eigenvalues and eigenvectors)
- [ ] [[Mohr's_circle]] — three · variant of CMP-013 · `M v = lambda v` · the Eigenvalues and eigenvectors sim (CMP-013) opened on a preset or annotation for Mohr's circle — `extends specs/sims/Eigenvalues_and_eigenvectors.json` as `specs/variants/Mohr's_circle.json` · id:CMP-153 · prio:B · type:variant · rev:1330528049 · section:13 (Eigenvalues and eigenvectors)
- [ ] [[Linear_regression]] — three · variant of CMP-014 · `min sum (y_i - f(x_i))^2` · the Least squares sim (CMP-014) opened on a preset or annotation for Linear regression — `extends specs/sims/Least_squares.json` as `specs/variants/Linear_regression.json` · id:CMP-154 · prio:B · type:variant · rev:1374805973 · section:14 (Least squares)
- [ ] [[Curve_fitting]] — three · variant of CMP-014 · `min sum (y_i - f(x_i))^2` · the Least squares sim (CMP-014) opened on a preset or annotation for Curve fitting — `extends specs/sims/Least_squares.json` as `specs/variants/Curve_fitting.json` · id:CMP-155 · prio:B · type:variant · rev:1373606144 · section:14 (Least squares)
- [ ] [[Residual_(numerical_analysis)]] — three · variant of CMP-014 · `min sum (y_i - f(x_i))^2` · the Least squares sim (CMP-014) opened on a preset or annotation for Residual (numerical analysis) — `extends specs/sims/Least_squares.json` as `specs/variants/Residual_(numerical_analysis).json` · id:CMP-156 · prio:B · type:variant · rev:1359848326 · section:14 (Least squares)
- [ ] [[Regression_analysis]] — three · variant of CMP-014 · `min sum (y_i - f(x_i))^2` · the Least squares sim (CMP-014) opened on a preset or annotation for Regression analysis — `extends specs/sims/Least_squares.json` as `specs/variants/Regression_analysis.json` · id:CMP-157 · prio:B · type:variant · rev:1374805084 · section:14 (Least squares)
- [ ] [[Root-finding_algorithm]] — three · variant of CMP-015 · `x_(n+1) = x_n - f(x_n)/f'(x_n)` · the Newton's method sim (CMP-015) opened on a preset or annotation for Root-finding algorithm — `extends specs/sims/Newton's_method.json` as `specs/variants/Root-finding_algorithm.json` · id:CMP-158 · prio:B · type:variant · rev:1365832838 · section:15 (Newton's method)
- [ ] [[Bisection_method]] — three · variant of CMP-015 · `x_(n+1) = x_n - f(x_n)/f'(x_n)` · the Newton's method sim (CMP-015) opened on a preset or annotation for Bisection method — `extends specs/sims/Newton's_method.json` as `specs/variants/Bisection_method.json` · id:CMP-159 · prio:B · type:variant · rev:1375205262 · section:15 (Newton's method)
- [ ] [[Iterative_method]] — three · variant of CMP-015 · `x_(n+1) = x_n - f(x_n)/f'(x_n)` · the Newton's method sim (CMP-015) opened on a preset or annotation for Iterative method — `extends specs/sims/Newton's_method.json` as `specs/variants/Iterative_method.json` · id:CMP-160 · prio:B · type:variant · rev:1359099885 · section:15 (Newton's method)
- [ ] [[Fixed-point_iteration]] — three · variant of CMP-015 · `x_(n+1) = x_n - f(x_n)/f'(x_n)` · the Newton's method sim (CMP-015) opened on a preset or annotation for Fixed-point iteration — `extends specs/sims/Newton's_method.json` as `specs/variants/Fixed-point_iteration.json` · id:CMP-161 · prio:B · type:variant · rev:1292117524 · section:15 (Newton's method)
- [ ] [[Differential_calculus]] — three · variant of CMP-016 · `f'(x) = lim (f(x+h) - f(x))/h` · the Derivative sim (CMP-016) opened on a preset or annotation for Differential calculus — `extends specs/sims/Derivative.json` as `specs/variants/Differential_calculus.json` · id:CMP-162 · prio:B · type:variant · rev:1375872917 · section:16 (Derivative)
- [ ] [[Slope]] — three · variant of CMP-016 · `f'(x) = lim (f(x+h) - f(x))/h` · the Derivative sim (CMP-016) opened on a preset or annotation for Slope — `extends specs/sims/Derivative.json` as `specs/variants/Slope.json` · id:CMP-163 · prio:B · type:variant · rev:1371955019 · section:16 (Derivative)
- [ ] [[Tangent]] — three · variant of CMP-016 · `f'(x) = lim (f(x+h) - f(x))/h` · the Derivative sim (CMP-016) opened on a preset or annotation for Tangent — `extends specs/sims/Derivative.json` as `specs/variants/Tangent.json` · id:CMP-164 · prio:B · type:variant · rev:1348491347 · section:16 (Derivative)
- [ ] [[Chain_rule]] — three · variant of CMP-016 · `f'(x) = lim (f(x+h) - f(x))/h` · the Derivative sim (CMP-016) opened on a preset or annotation for Chain rule — `extends specs/sims/Derivative.json` as `specs/variants/Chain_rule.json` · id:CMP-165 · prio:B · type:variant · rev:1374347941 · section:16 (Derivative)
- [ ] [[Fundamental_theorem_of_calculus]] — three · variant of CMP-017 · `int f(x) dx = lim sum f(x_i) dx` · the Integral sim (CMP-017) opened on a preset or annotation for Fundamental theorem of calculus — `extends specs/sims/Integral.json` as `specs/variants/Fundamental_theorem_of_calculus.json` · id:CMP-166 · prio:B · type:variant · rev:1368883841 · section:17 (Integral)
- [ ] [[Riemann_sum]] — three · variant of CMP-017 · `int f(x) dx = lim sum f(x_i) dx` · the Integral sim (CMP-017) opened on a preset or annotation for Riemann sum — `extends specs/sims/Integral.json` as `specs/variants/Riemann_sum.json` · id:CMP-167 · prio:B · type:variant · rev:1367425751 · section:17 (Integral)
- [ ] [[Antiderivative]] — three · variant of CMP-017 · `int f(x) dx = lim sum f(x_i) dx` · the Integral sim (CMP-017) opened on a preset or annotation for Antiderivative — `extends specs/sims/Integral.json` as `specs/variants/Antiderivative.json` · id:CMP-168 · prio:B · type:variant · rev:1372210386 · section:17 (Integral)
- [ ] [[Differential_equation]] — three · variant of CMP-018 · `dy/dt = f(t, y)` · the Ordinary differential equation sim (CMP-018) opened on a preset or annotation for Differential equation — `extends specs/sims/Ordinary_differential_equation.json` as `specs/variants/Differential_equation.json` · id:CMP-169 · prio:B · type:variant · rev:1375131660 · section:18 (Ordinary differential equation)
- [ ] [[Initial_value_problem]] — three · variant of CMP-018 · `dy/dt = f(t, y)` · the Ordinary differential equation sim (CMP-018) opened on a preset or annotation for Initial value problem — `extends specs/sims/Ordinary_differential_equation.json` as `specs/variants/Initial_value_problem.json` · id:CMP-170 · prio:B · type:variant · rev:1339830472 · section:18 (Ordinary differential equation)
- [ ] [[Linear_differential_equation]] — three · variant of CMP-018 · `dy/dt = f(t, y)` · the Ordinary differential equation sim (CMP-018) opened on a preset or annotation for Linear differential equation — `extends specs/sims/Ordinary_differential_equation.json` as `specs/variants/Linear_differential_equation.json` · id:CMP-171 · prio:B · type:variant · rev:1373776698 · section:18 (Ordinary differential equation)
- [ ] [[Newton's_laws_of_motion]] — three · variant of CMP-018 · `dy/dt = f(t, y)` · the Ordinary differential equation sim (CMP-018) opened on a preset or annotation for Newton's laws of motion — `extends specs/sims/Ordinary_differential_equation.json` as `specs/variants/Newton's_laws_of_motion.json` · id:CMP-172 · prio:B · type:variant · rev:1375948061 · section:18 (Ordinary differential equation)
- [ ] [[Numerical_methods_for_ordinary_differential_equations]] — three · variant of CMP-019 · `y_(n+1) = y_n + h f(t_n, y_n)` · the Euler method sim (CMP-019) opened on a preset or annotation for Numerical methods for ordinary differential equations — `extends specs/sims/Euler_method.json` as `specs/variants/Numerical_methods_for_ordinary_differential_equations.json` · id:CMP-173 · prio:B · type:variant · rev:1373944781 · section:19 (Euler method)
- [ ] [[Truncation_error]] — three · variant of CMP-019 · `y_(n+1) = y_n + h f(t_n, y_n)` · the Euler method sim (CMP-019) opened on a preset or annotation for Truncation error — `extends specs/sims/Euler_method.json` as `specs/variants/Truncation_error.json` · id:CMP-174 · prio:B · type:variant · rev:1302579951 · section:19 (Euler method)
- [ ] [[Numerical_stability]] — three · variant of CMP-019 · `y_(n+1) = y_n + h f(t_n, y_n)` · the Euler method sim (CMP-019) opened on a preset or annotation for Numerical stability — `extends specs/sims/Euler_method.json` as `specs/variants/Numerical_stability.json` · id:CMP-175 · prio:B · type:variant · rev:1353491555 · section:19 (Euler method)
- [ ] [[Discretization]] — three · variant of CMP-019 · `y_(n+1) = y_n + h f(t_n, y_n)` · the Euler method sim (CMP-019) opened on a preset or annotation for Discretization — `extends specs/sims/Euler_method.json` as `specs/variants/Discretization.json` · id:CMP-176 · prio:B · type:variant · rev:1375131785 · section:19 (Euler method)
- [ ] [[Midpoint_method]] — three · variant of CMP-020 · `y_(n+1) = y_n + h (k1 + 2k2 + 2k3 + k4)/6` · the Runge–Kutta methods sim (CMP-020) opened on a preset or annotation for Midpoint method — `extends specs/sims/Runge–Kutta_methods.json` as `specs/variants/Midpoint_method.json` · id:CMP-177 · prio:B · type:variant · rev:1218953146 · section:20 (Runge–Kutta methods)
- [ ] [[Adaptive_step_size]] — three · variant of CMP-020 · `y_(n+1) = y_n + h (k1 + 2k2 + 2k3 + k4)/6` · the Runge–Kutta methods sim (CMP-020) opened on a preset or annotation for Adaptive step size — `extends specs/sims/Runge–Kutta_methods.json` as `specs/variants/Adaptive_step_size.json` · id:CMP-178 · prio:B · type:variant · rev:1352746961 · section:20 (Runge–Kutta methods)
- [ ] [[Verlet_integration]] — three · variant of CMP-020 · `y_(n+1) = y_n + h (k1 + 2k2 + 2k3 + k4)/6` · the Runge–Kutta methods sim (CMP-020) opened on a preset or annotation for Verlet integration — `extends specs/sims/Runge–Kutta_methods.json` as `specs/variants/Verlet_integration.json` · id:CMP-179 · prio:B · type:variant · rev:1371906785 · section:20 (Runge–Kutta methods)
- [ ] [[Symplectic_integrator]] — three · variant of CMP-020 · `y_(n+1) = y_n + h (k1 + 2k2 + 2k3 + k4)/6` · the Runge–Kutta methods sim (CMP-020) opened on a preset or annotation for Symplectic integrator — `extends specs/sims/Runge–Kutta_methods.json` as `specs/variants/Symplectic_integrator.json` · id:CMP-180 · prio:B · type:variant · rev:1341751154 · section:20 (Runge–Kutta methods)
- [ ] [[Standard_deviation]] — three · variant of CMP-021 · `Var(X) = E[(X - mu)^2]` · the Variance sim (CMP-021) opened on a preset or annotation for Standard deviation — `extends specs/sims/Variance.json` as `specs/variants/Standard_deviation.json` · id:CMP-181 · prio:B · type:variant · rev:1374646029 · section:21 (Variance)
- [ ] [[Average]] — three · variant of CMP-021 · `Var(X) = E[(X - mu)^2]` · the Variance sim (CMP-021) opened on a preset or annotation for Average — `extends specs/sims/Variance.json` as `specs/variants/Average.json` · id:CMP-182 · prio:B · type:variant · rev:1375500526 · section:21 (Variance)
- [ ] [[Expected_value]] — three · variant of CMP-021 · `Var(X) = E[(X - mu)^2]` · the Variance sim (CMP-021) opened on a preset or annotation for Expected value — `extends specs/sims/Variance.json` as `specs/variants/Expected_value.json` · id:CMP-183 · prio:B · type:variant · rev:1374139494 · section:21 (Variance)
- [ ] [[Covariance]] — three · variant of CMP-021 · `Var(X) = E[(X - mu)^2]` · the Variance sim (CMP-021) opened on a preset or annotation for Covariance — `extends specs/sims/Variance.json` as `specs/variants/Covariance.json` · id:CMP-184 · prio:B · type:variant · rev:1356541342 · section:21 (Variance)
- [ ] [[Sample_size_determination]] — three · variant of CMP-022 · `SE = sigma / sqrt(n)` · the Sampling sim (CMP-022) opened on a preset or annotation for Sample size determination — `extends specs/sims/Sampling_(statistics).json` as `specs/variants/Sample_size_determination.json` · id:CMP-185 · prio:B · type:variant · rev:1365443837 · section:22 (Sampling)
- [ ] [[Sampling_error]] — three · variant of CMP-022 · `SE = sigma / sqrt(n)` · the Sampling sim (CMP-022) opened on a preset or annotation for Sampling error — `extends specs/sims/Sampling_(statistics).json` as `specs/variants/Sampling_error.json` · id:CMP-186 · prio:B · type:variant · rev:1362360854 · section:22 (Sampling)
- [ ] [[Standard_error]] — three · variant of CMP-022 · `SE = sigma / sqrt(n)` · the Sampling sim (CMP-022) opened on a preset or annotation for Standard error — `extends specs/sims/Sampling_(statistics).json` as `specs/variants/Standard_error.json` · id:CMP-187 · prio:B · type:variant · rev:1374592103 · section:22 (Sampling)
- [ ] [[Central_limit_theorem]] — three · variant of CMP-022 · `SE = sigma / sqrt(n)` · the Sampling sim (CMP-022) opened on a preset or annotation for Central limit theorem — `extends specs/sims/Sampling_(statistics).json` as `specs/variants/Central_limit_theorem.json` · id:CMP-188 · prio:B · type:variant · rev:1360994353 · section:22 (Sampling)
- [ ] [[Log-normal_distribution]] — three · variant of CMP-023 · `f(x) = exp(-(x-mu)^2 / 2 sigma^2) / (sigma sqrt(2 pi))` · the Normal distribution sim (CMP-023) opened on a preset or annotation for Log-normal distribution — `extends specs/sims/Normal_distribution.json` as `specs/variants/Log-normal_distribution.json` · id:CMP-189 · prio:B · type:variant · rev:1374729298 · section:23 (Normal distribution)
- [ ] [[Probability_distribution]] — three · variant of CMP-023 · `f(x) = exp(-(x-mu)^2 / 2 sigma^2) / (sigma sqrt(2 pi))` · the Normal distribution sim (CMP-023) opened on a preset or annotation for Probability distribution — `extends specs/sims/Normal_distribution.json` as `specs/variants/Probability_distribution.json` · id:CMP-190 · prio:B · type:variant · rev:1372848647 · section:23 (Normal distribution)
- [ ] [[68–95–99.7_rule]] — three · variant of CMP-023 · `f(x) = exp(-(x-mu)^2 / 2 sigma^2) / (sigma sqrt(2 pi))` · the Normal distribution sim (CMP-023) opened on a preset or annotation for 68–95–99.7 rule — `extends specs/sims/Normal_distribution.json` as `specs/variants/68–95–99.7_rule.json` · id:CMP-191 · prio:B · type:variant · rev:1368634618 · section:23 (Normal distribution)
- [ ] [[Probability_density_function]] — three · variant of CMP-023 · `f(x) = exp(-(x-mu)^2 / 2 sigma^2) / (sigma sqrt(2 pi))` · the Normal distribution sim (CMP-023) opened on a preset or annotation for Probability density function — `extends specs/sims/Normal_distribution.json` as `specs/variants/Probability_density_function.json` · id:CMP-192 · prio:B · type:variant · rev:1362592168 · section:23 (Normal distribution)
- [ ] [[Random_number_generation]] — three · variant of CMP-024 · `sigma_total = sqrt(sum sigma_i^2)` · the Monte Carlo method sim (CMP-024) opened on a preset or annotation for Random number generation — `extends specs/sims/Monte_Carlo_method.json` as `specs/variants/Random_number_generation.json` · id:CMP-193 · prio:B · type:variant · rev:1374928131 · section:24 (Monte Carlo method)
- [ ] [[Pseudorandom_number_generator]] — three · variant of CMP-024 · `sigma_total = sqrt(sum sigma_i^2)` · the Monte Carlo method sim (CMP-024) opened on a preset or annotation for Pseudorandom number generator — `extends specs/sims/Monte_Carlo_method.json` as `specs/variants/Pseudorandom_number_generator.json` · id:CMP-194 · prio:B · type:variant · rev:1373190473 · section:24 (Monte Carlo method)
- [ ] [[Law_of_large_numbers]] — three · variant of CMP-024 · `sigma_total = sqrt(sum sigma_i^2)` · the Monte Carlo method sim (CMP-024) opened on a preset or annotation for Law of large numbers — `extends specs/sims/Monte_Carlo_method.json` as `specs/variants/Law_of_large_numbers.json` · id:CMP-195 · prio:B · type:variant · rev:1365847896 · section:24 (Monte Carlo method)
- [ ] [[Uncertainty_quantification]] — three · variant of CMP-024 · `sigma_total = sqrt(sum sigma_i^2)` · the Monte Carlo method sim (CMP-024) opened on a preset or annotation for Uncertainty quantification — `extends specs/sims/Monte_Carlo_method.json` as `specs/variants/Uncertainty_quantification.json` · id:CMP-196 · prio:B · type:variant · rev:1375813788 · section:24 (Monte Carlo method)
- [ ] [[Geostatistics]] — three · variant of CMP-025 · `Z* = sum lambda_i Z_i, sum lambda_i = 1` · the Kriging sim (CMP-025) opened on a preset or annotation for Geostatistics — `extends specs/sims/Kriging.json` as `specs/variants/Geostatistics.json` · id:CMP-197 · prio:B · type:variant · rev:1374345462 · section:25 (Kriging)
- [ ] [[Variogram]] — three · variant of CMP-025 · `Z* = sum lambda_i Z_i, sum lambda_i = 1` · the Kriging sim (CMP-025) opened on a preset or annotation for Variogram — `extends specs/sims/Kriging.json` as `specs/variants/Variogram.json` · id:CMP-198 · prio:B · type:variant · rev:1342972127 · section:25 (Kriging)
- [ ] [[Interpolation]] — three · variant of CMP-025 · `Z* = sum lambda_i Z_i, sum lambda_i = 1` · the Kriging sim (CMP-025) opened on a preset or annotation for Interpolation — `extends specs/sims/Kriging.json` as `specs/variants/Interpolation.json` · id:CMP-199 · prio:B · type:variant · rev:1371641406 · section:25 (Kriging)
- [ ] [[Gaussian_process]] — three · variant of CMP-025 · `Z* = sum lambda_i Z_i, sum lambda_i = 1` · the Kriging sim (CMP-025) opened on a preset or annotation for Gaussian process — `extends specs/sims/Kriging.json` as `specs/variants/Gaussian_process.json` · id:CMP-200 · prio:B · type:variant · rev:1375874745 · section:25 (Kriging)
- [ ] [[Golden-section_search]] — three · variant of CMP-026 · `x* = argmin f(x)` · the Mathematical optimization sim (CMP-026) opened on a preset or annotation for Golden-section search — `extends specs/sims/Mathematical_optimization.json` as `specs/variants/Golden-section_search.json` · id:CMP-201 · prio:B · type:variant · rev:1370509692 · section:26 (Mathematical optimization)
- [ ] [[Gradient_descent]] — three · variant of CMP-026 · `x* = argmin f(x)` · the Mathematical optimization sim (CMP-026) opened on a preset or annotation for Gradient descent — `extends specs/sims/Mathematical_optimization.json` as `specs/variants/Gradient_descent.json` · id:CMP-202 · prio:B · type:variant · rev:1373673523 · section:26 (Mathematical optimization)
- [ ] [[Linear_programming]] — three · variant of CMP-026 · `x* = argmin f(x)` · the Mathematical optimization sim (CMP-026) opened on a preset or annotation for Linear programming — `extends specs/sims/Mathematical_optimization.json` as `specs/variants/Linear_programming.json` · id:CMP-203 · prio:B · type:variant · rev:1373521375 · section:26 (Mathematical optimization)
- [ ] [[Lagrange_multiplier]] — three · variant of CMP-026 · `x* = argmin f(x)` · the Mathematical optimization sim (CMP-026) opened on a preset or annotation for Lagrange multiplier — `extends specs/sims/Mathematical_optimization.json` as `specs/variants/Lagrange_multiplier.json` · id:CMP-204 · prio:B · type:variant · rev:1363206730 · section:26 (Mathematical optimization)
- [ ] [[Break-even_point]] — three · variant of CMP-027 · `grade x recovery x price > cost` · the Inequality sim (CMP-027) opened on a preset or annotation for Break-even point — `extends specs/sims/Inequality_(mathematics).json` as `specs/variants/Break-even_point.json` · id:CMP-205 · prio:B · type:variant · rev:1352864508 · section:27 (Inequality)
- [ ] [[Feasible_region]] — three · variant of CMP-027 · `grade x recovery x price > cost` · the Inequality sim (CMP-027) opened on a preset or annotation for Feasible region — `extends specs/sims/Inequality_(mathematics).json` as `specs/variants/Feasible_region.json` · id:CMP-206 · prio:B · type:variant · rev:1372606344 · section:27 (Inequality)
- [ ] [[Constraint_(mathematics)]] — three · variant of CMP-027 · `grade x recovery x price > cost` · the Inequality sim (CMP-027) opened on a preset or annotation for Constraint (mathematics) — `extends specs/sims/Inequality_(mathematics).json` as `specs/variants/Constraint_(mathematics).json` · id:CMP-207 · prio:B · type:variant · rev:1315586163 · section:27 (Inequality)
- [ ] [[Triangle_inequality]] — three · variant of CMP-027 · `grade x recovery x price > cost` · the Inequality sim (CMP-027) opened on a preset or annotation for Triangle inequality — `extends specs/sims/Inequality_(mathematics).json` as `specs/variants/Triangle_inequality.json` · id:CMP-208 · prio:B · type:variant · rev:1372762565 · section:27 (Inequality)
- [ ] [[George_Boole]] — three · variant of CMP-028 · `x AND y, x OR y, NOT x` · the Boolean algebra sim (CMP-028) opened on the preset that carries this person's law or result, with the portrait card (§14) — `extends specs/sims/Boolean_algebra.json` · id:CMP-209 · prio:B · type:variant · rev:1374150021 · section:28 (Boolean algebra) · kind:person
- [ ] [[Logic_gate]] — three · variant of CMP-028 · `x AND y, x OR y, NOT x` · the Boolean algebra sim (CMP-028) opened on a preset or annotation for Logic gate — `extends specs/sims/Boolean_algebra.json` as `specs/variants/Logic_gate.json` · id:CMP-210 · prio:B · type:variant · rev:1376198871 · section:28 (Boolean algebra)
- [ ] [[Truth_table]] — three · variant of CMP-028 · `x AND y, x OR y, NOT x` · the Boolean algebra sim (CMP-028) opened on a preset or annotation for Truth table — `extends specs/sims/Boolean_algebra.json` as `specs/variants/Truth_table.json` · id:CMP-211 · prio:B · type:variant · rev:1370268059 · section:28 (Boolean algebra)
- [ ] [[Propositional_logic]] — three · variant of CMP-028 · `x AND y, x OR y, NOT x` · the Boolean algebra sim (CMP-028) opened on a preset or annotation for Propositional logic — `extends specs/sims/Boolean_algebra.json` as `specs/variants/Propositional_logic.json` · id:CMP-212 · prio:B · type:variant · rev:1369692082 · section:28 (Boolean algebra)
- [ ] [[Computational_complexity]] — three · variant of CMP-029 · `T(n) = O(n^k)` · the Algorithm sim (CMP-029) opened on a preset or annotation for Computational complexity — `extends specs/sims/Algorithm.json` as `specs/variants/Computational_complexity.json` · id:CMP-213 · prio:B · type:variant · rev:1346714468 · section:29 (Algorithm)
- [ ] [[Big_O_notation]] — three · variant of CMP-029 · `T(n) = O(n^k)` · the Algorithm sim (CMP-029) opened on a preset or annotation for Big O notation — `extends specs/sims/Algorithm.json` as `specs/variants/Big_O_notation.json` · id:CMP-214 · prio:B · type:variant · rev:1375605201 · section:29 (Algorithm)
- [ ] [[Sorting_algorithm]] — three · variant of CMP-029 · `T(n) = O(n^k)` · the Algorithm sim (CMP-029) opened on a preset or annotation for Sorting algorithm — `extends specs/sims/Algorithm.json` as `specs/variants/Sorting_algorithm.json` · id:CMP-215 · prio:B · type:variant · rev:1358157912 · section:29 (Algorithm)
- [ ] [[Pseudocode]] — three · variant of CMP-029 · `T(n) = O(n^k)` · the Algorithm sim (CMP-029) opened on a preset or annotation for Pseudocode — `extends specs/sims/Algorithm.json` as `specs/variants/Pseudocode.json` · id:CMP-216 · prio:B · type:variant · rev:1359600887 · section:29 (Algorithm)
- [ ] [[Von_Neumann_cellular_automaton]] — three · variant of CMP-030 · `s_(t+1) = rule(neighbourhood)` · the Cellular automaton sim (CMP-030) opened on a preset or annotation for Von Neumann cellular automaton — `extends specs/sims/Cellular_automaton.json` as `specs/variants/Von_Neumann_cellular_automaton.json` · id:CMP-217 · prio:B · type:variant · rev:1371351714 · section:30 (Cellular automaton)
- [ ] [[Conway's_Game_of_Life]] — three · variant of CMP-030 · `s_(t+1) = rule(neighbourhood)` · the Cellular automaton sim (CMP-030) opened on a preset or annotation for Conway's Game of Life — `extends specs/sims/Cellular_automaton.json` as `specs/variants/Conway's_Game_of_Life.json` · id:CMP-218 · prio:B · type:variant · rev:1374066128 · section:30 (Cellular automaton)
- [ ] [[Von_Neumann_universal_constructor]] — three · variant of CMP-030 · `s_(t+1) = rule(neighbourhood)` · the Cellular automaton sim (CMP-030) opened on a preset or annotation for Von Neumann universal constructor — `extends specs/sims/Cellular_automaton.json` as `specs/variants/Von_Neumann_universal_constructor.json` · id:CMP-219 · prio:B · type:variant · rev:1373003337 · section:30 (Cellular automaton)
- [ ] [[John_von_Neumann]] — three · reuse of MFG-029 · `s_(t+1) = rule(neighbourhood)` · owned by PORTAL_Manufacturing as row MFG-029 — `manufacturing/John_von_Neumann.html` (PORTAL_Manufacturing's section sim, in its queue); this portal adds membership only · id:CMP-220 · prio:B · type:reuse · rev:1375521158 · section:30 (Cellular automaton) · kind:person
#### Priority C — the reviewer's 25 briefs (BOOK_REVIEW.md, 'Compute portal microsim worklist'; every locator is a page and line of the shelf)
- [ ] [[Boolean_algebra]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · two/three class symbols with x^2 = x, 1 - x, xy; Venn regions shade as the reader toggles values · id:CMP-R01 · prio:C · type:brief · rev:1368725040 · source:Boole p30 L1236-1242, p43 L1833-1852 · duplicates section 28 (CMP-028) — its brief and locator enrich that row
- [ ] [[Logic_gate]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · AND = xy, NOT = 1 - x, XOR = x(1-y) + y(1-x), OR = x + y(1-x); wire them into a half adder; truth table live · id:CMP-R02 · prio:C · type:brief · rev:1376198871 · source:Boole p48 L2080-2091; Levin p66 L2509-2570 · duplicates See-also row CMP-210 — its brief and locator enrich that row
- [ ] [[Boole's_expansion_theorem]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · f(x,y) = f(1,1)xy + f(1,0)x(1-y) + f(0,1)(1-x)y + f(0,0)(1-x)(1-y); typed function -> 4-cell constituent map, then eliminate a variable · id:CMP-R03 · prio:C · type:brief · rev:1371703287 · source:Boole p60 L2687, p62 L2860-2877, p85 L3987-3997 · a Priority C section-sim candidate of its own
- [ ] [[Fréchet_inequalities]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · sliders P(x), P(y): P(xy) lies in [max(0, p+q-1), min(p,q)]; the thunder-and-hail band (bridge: prospecting with partial data) · id:CMP-R04 · prio:C · type:brief · rev:1316998057 · source:Boole p238 L12359-12378, p220 L11232-11240 · a Priority C section-sim candidate of its own
- [ ] [[Condorcet's_jury_theorem]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · n voters/sensors of accuracy x and prior k; P(correct majority) by binomial sums (bridge: redundant inspection) · id:CMP-R05 · prio:C · type:brief · rev:1365511324 · source:Boole p303 L16877-16891, p304 L16932-16954, p305 L17011-17019 · a Priority C section-sim candidate of its own
- [ ] [[Euler_method]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · integrate x'' = f(x) with step h; watch a circular orbit spiral out as h grows (bridge: orbits/ODEs) · id:CMP-R06 · prio:C · type:brief · rev:1370719415 · source:Russell p515 L25691-25695, p527 L26215-26219 · duplicates section 19 (CMP-019) — its brief and locator enrich that row
- [ ] [[System_of_linear_equations]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · three unknowns from three totals and the acid/water mixing tube; Gaussian elimination step by step (bridge: mass balance) · id:CMP-R07 · prio:C · type:brief · rev:1369981799 · source:MCBF p165 L6095-6099, p54 L1776-1783; Hilbert p41 L1448-1453 · duplicates section 11 (CMP-011) — its brief and locator enrich that row
- [ ] [[Kriging]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · Perelman's forest plots as sample points; reader places plots and a variogram range; estimate vs true timber total · id:CMP-R08 · prio:C · type:brief · rev:1373716263 · source:MCBF p65 L2211 - p66 L2231; Boole p237 L12293-12303 · duplicates section 25 (CMP-025) — its brief and locator enrich that row
- [ ] [[Euler_characteristic]] — three · reviewer brief · `see brief` · surface of genus g from a 4g-gon, chi = 2 - 2g; subdivide cells and chi holds; Levin's cube 8 - 12 + 6 = 2 · id:CMP-R09 · prio:C · type:brief · rev:1368656473 · source:Hatcher p15 L633-638, p156 L9417-9420; Levin p151 L6398-6402, p155 L6548-6583 · a Priority C section-sim candidate of its own
- [ ] [[Winding_number]] — three · reviewer brief · `see brief` · loop drawn in the plane lifts to the helix (cos 2 pi s, sin 2 pi s, s); count of turns; z -> z^k preset · id:CMP-R10 · prio:C · type:brief · rev:1350938201 · source:Hatcher p38 L1736-1750, p66 L3308 · a Priority C section-sim candidate of its own
- [ ] [[Hairy_ball_theorem]] — three · reviewer brief · `see brief` · editable tangent field on S^2 with forced zeros; S^1 and S^3 comb cleanly · id:CMP-R11 · prio:C · type:brief · rev:1373400834 · source:Hatcher p144 L8594-8611 · a Priority C section-sim candidate of its own
- [ ] [[Betti_number]] — three · reviewer brief · `see brief` · square with edge word aba^-1b^-1 / abab^-1 / abab; boundary matrices; b0, b1, b2 reported (porosity: components, tunnels, voids) · id:CMP-R12 · prio:C · type:brief · rev:1344154640 · source:Hatcher p111 L6328-6329, p113 L6409-6447, p115 L6606-6664 · a Priority C section-sim candidate of its own
- [ ] [[Eulerian_path]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · Konigsberg preset; edit a multigraph; odd-degree vertices highlighted; walk traced when 0 or 2 are odd (bridge: haul-road inspection routes) · id:CMP-R13 · prio:C · type:brief · rev:1357687784 · source:Levin p120 L5009-5033, p164 L6907-6924 · a Priority C section-sim candidate of its own
- [ ] [[Minimum_spanning_tree]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · weighted network of mine sites; Kruskal and Prim stepped side by side; total cost readout (bridge: network cost) · id:CMP-R14 · prio:C · type:brief · rev:1371401929 · source:Levin p142 L5995-6016, p143 L6033-6060 · a Priority C section-sim candidate of its own
- [ ] [[Hall's_marriage_theorem]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · robots x tasks bipartite graph; toggle capabilities; the matching or the set S with |N(S)| < |S| (bridge: assignment) · id:CMP-R15 · prio:C · type:brief · rev:1343521441 · source:Levin p202 L8521-8542 · a Priority C section-sim candidate of its own
- [ ] [[Tower_of_Hanoi]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · n disks; a_n = 2a_(n-1) + 1 = 2^n - 1; 64-disk time readout · id:CMP-R16 · prio:C · type:brief · rev:1375651786 · source:Levin p331 L14645-14662, p342 L15164 · a Priority C section-sim candidate of its own
- [ ] [[Recurrence_relation]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · a_n + alpha a_(n-1) + beta a_(n-2) = 0 with characteristic roots; Fibonacci/phi preset (bridge: self-replication growth) · id:CMP-R17 · prio:C · type:brief · rev:1375711141 · source:Levin p377 L16787-16795, p378 L16827-16846 · a Priority C section-sim candidate of its own
- [ ] [[Wheat_and_chessboard_problem]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · doubling across 64 squares; volume 12,000 km^3 at 15,000,000 grains/m^3; slider for the per-square factor (bridge: self-replication) · id:CMP-R18 · prio:C · type:brief · rev:1358221569 · source:MCBF p100 L3723, p101 L3741-3763 · a Priority C section-sim candidate of its own
- [ ] [[Cellular_automaton]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · one-dimensional rule grid; a self-copying pattern whose population follows 3000^n-style growth (bridge: von Neumann) · id:CMP-R19 · prio:C · type:brief · rev:1370110809 · source:MCBF p102 L3790 - p103 L3814; Levin p350 L15577 · duplicates section 30 (CMP-030) — its brief and locator enrich that row
- [ ] [[Sphere_of_influence_(astrodynamics)]] — three · reviewer brief · `see brief` · Earth-Moon line, M/m = 81.5, balance points 0.9 l and 1.12 l, Apollonian sphere 84,000 km, sphere of action 66,000 km (bridge: orbits) · id:CMP-R20 · prio:C · type:brief · rev:1373800130 · source:ACBF p163 L6183-6193, p164 L6204-6243, p166 L6289 · a Priority C section-sim candidate of its own
- [ ] [[AM–GM_inequality]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · x^p y^q under x + y = const; beam from a log, trough at 120 deg, funnel cut-out 65 deg as presets (bridge: chutes and hoppers) · id:CMP-R21 · prio:C · type:brief · rev:1373602128 · source:ACBF p181 L6938-6973, p190 L7233-7236, p192 L7288-7289 · a Priority C section-sim candidate of its own
- [ ] [[E_(mathematical_constant)]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · 100 rubles at 100 % compounded n times a year -> 271.83; (1 + 1/n)^n; NPV/discount preset (bridge: valuation) · id:CMP-R22 · prio:C · type:brief · rev:1375913302 · source:ACBF p222 L8535 - p224 L8583 · a Priority C section-sim candidate of its own
- [ ] [[Continued_fraction]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · sqrt2 bracketed by 1.4/1.5, 1.41/1.42, 1.414/1.415 and pi by 22/7, 355/113; the tolerance band shrinks with each convergent (bridge: machining tolerance) · id:CMP-R23 · prio:C · type:brief · rev:1372987670 · source:Casey p127 L5476-5495, p210 L9859-9862 · a Priority C section-sim candidate of its own
- [ ] [[Monte_Carlo_method]] — p5 (the reviewer's engine; the spine rule may re-route to three) · reviewer brief · `see brief` · random darts in the unit square estimate pi; error vs N; Casey's polygon iteration beside it (bridge: the whole spine) · id:CMP-R24 · prio:C · type:brief · rev:1372573790 · source:Casey p210 L9864 - p211 L9898; Levin p298 L12981-12996 · duplicates section 24 (CMP-024) — its brief and locator enrich that row
- [ ] [[Square–cube_law]] — three · reviewer brief · `see brief` · scale factor k: area k^2, volume k^3; Euclid VI.19; watermelon 1.25x -> 1.95x volume; surface-per-mass readout for comminution · id:CMP-R25 · prio:C · type:brief · rev:1371264881 · source:Casey p160 L7640-7663; MCBF p146 L5305-5312, p147 L5356 - p148 L5373 · a Priority C section-sim candidate of its own
## Article Worklist
> **Permissions to request up front:** see the block at the head of this page — ask for all of them in one round before the first tool call (browser-pane sites, vault folder, no WT! scope needed here, no deletes, deploy is MTN's).
Row grammar: `- [ ] [[Slug]] — action · vault state · rev (bytes) · sim · id · prio · type`. `action` is `mint` (no page in `wiki/` on the 2026-09-22 scan of the vault), `densify` (a page exists below wt-article density: bring it up, append-only), or `place` (a dense page exists, or the article is owned by the apex spine: add this portal's membership and the sim by generator block, no rewrite). Every article follows style guide §2–§6 and §13: slug = the verified Wikipedia title, `oldid` pinned to `rev:`, the H2 skeleton mirrored from that revision, a lead that defines in bold and names the microsim, every figure footnoted to the shelf, a `Wikipedia : Wikitube` section, and a registry row. `WT!` pages sit outside this list.
### Article To Do
#### Priority A — Main articles (30)
- [ ] [[Measurement_uncertainty]] — mint · no page in wiki/ on 2026-09-22 · rev:1367370535 (28,386 B on Wikipedia) · sim:CMP-001 · id:CMP-A001 · prio:A · type:mint · section:1 (Measurement uncertainty)
- [ ] [[Proportionality_(mathematics)]] — mint · no page in wiki/ on 2026-09-22 · rev:1375767071 (8,885 B on Wikipedia) · sim:CMP-002 · id:CMP-A002 · prio:A · type:mint · section:2 (Proportionality)
- [ ] [[Dimensional_analysis]] — mint · no page in wiki/ on 2026-09-22 · rev:1375131727 (100,650 B on Wikipedia) · sim:CMP-003 · id:CMP-A003 · prio:A · type:mint · section:3 (Dimensional analysis)
- [ ] [[Logarithm]] — mint · no page in wiki/ on 2026-09-22 · rev:1372866240 (100,984 B on Wikipedia) · sim:CMP-004 · id:CMP-A004 · prio:A · type:mint · section:4 (Logarithm)
- [ ] [[Euclidean_geometry]] — mint · no page in wiki/ on 2026-09-22 · rev:1375451931 (63,659 B on Wikipedia) · sim:CMP-005 · id:CMP-A005 · prio:A · type:mint · section:5 (Euclidean geometry)
- [ ] [[Mathematical_model]] — place · page exists: 9 H2, 7.1 KB, no embed · rev:1371929493 (35,028 B on Wikipedia) · sim:CMP-006 · id:CMP-A006 · prio:A · type:place · section:6 (Mathematical model)
- [ ] [[Exponential_growth]] — mint · no page in wiki/ on 2026-09-22 · rev:1375556011 (25,802 B on Wikipedia) · sim:CMP-007 · id:CMP-A007 · prio:A · type:mint · section:7 (Exponential growth)
- [ ] [[Power_law]] — mint · no page in wiki/ on 2026-09-22 · rev:1371936803 (63,814 B on Wikipedia) · sim:CMP-008 · id:CMP-A008 · prio:A · type:mint · section:8 (Power law)
- [ ] [[Geometric_series]] — mint · no page in wiki/ on 2026-09-22 · rev:1373309957 (34,422 B on Wikipedia) · sim:CMP-009 · id:CMP-A009 · prio:A · type:mint · section:9 (Geometric series)
- [ ] [[Conic_section]] — mint · no page in wiki/ on 2026-09-22 · rev:1374364404 (70,572 B on Wikipedia) · sim:CMP-010 · id:CMP-A010 · prio:A · type:mint · section:10 (Conic section)
- [ ] [[System_of_linear_equations]] — mint · no page in wiki/ on 2026-09-22 · rev:1369981799 (36,975 B on Wikipedia) · sim:CMP-011 · id:CMP-A011 · prio:A · type:mint · section:11 (System of linear equations)
- [ ] [[Matrix_(mathematics)]] — mint · no page in wiki/ on 2026-09-22 · rev:1374809925 (130,919 B on Wikipedia) · sim:CMP-012 · id:CMP-A012 · prio:A · type:mint · section:12 (Matrix)
- [ ] [[Eigenvalues_and_eigenvectors]] — mint · no page in wiki/ on 2026-09-22 · rev:1368844750 (106,369 B on Wikipedia) · sim:CMP-013 · id:CMP-A013 · prio:A · type:mint · section:13 (Eigenvalues and eigenvectors)
- [ ] [[Least_squares]] — mint · no page in wiki/ on 2026-09-22 · rev:1374800160 (38,489 B on Wikipedia) · sim:CMP-014 · id:CMP-A014 · prio:A · type:mint · section:14 (Least squares)
- [ ] [[Newton's_method]] — mint · no page in wiki/ on 2026-09-22 · rev:1375026664 (72,272 B on Wikipedia) · sim:CMP-015 · id:CMP-A015 · prio:A · type:mint · section:15 (Newton's method)
- [ ] [[Derivative]] — mint · no page in wiki/ on 2026-09-22 · rev:1375872100 (59,262 B on Wikipedia) · sim:CMP-016 · id:CMP-A016 · prio:A · type:mint · section:16 (Derivative)
- [ ] [[Integral]] — mint · no page in wiki/ on 2026-09-22 · rev:1375764364 (70,061 B on Wikipedia) · sim:CMP-017 · id:CMP-A017 · prio:A · type:mint · section:17 (Integral)
- [ ] [[Ordinary_differential_equation]] — place · page exists: 9 H2, 10.3 KB, no embed · rev:1376225589 (45,995 B on Wikipedia) · sim:CMP-018 · id:CMP-A018 · prio:A · type:place · section:18 (Ordinary differential equation)
- [ ] [[Euler_method]] — mint · no page in wiki/ on 2026-09-22 · rev:1370719415 (28,142 B on Wikipedia) · sim:CMP-019 · id:CMP-A019 · prio:A · type:mint · section:19 (Euler method)
- [ ] [[Runge–Kutta_methods]] — mint · no page in wiki/ on 2026-09-22 · rev:1371953488 (48,006 B on Wikipedia) · sim:CMP-020 · id:CMP-A020 · prio:A · type:mint · section:20 (Runge–Kutta methods)
- [ ] [[Variance]] — mint · no page in wiki/ on 2026-09-22 · rev:1368633150 (64,939 B on Wikipedia) · sim:CMP-021 · id:CMP-A021 · prio:A · type:mint · section:21 (Variance)
- [ ] [[Sampling_(statistics)]] — mint · no page in wiki/ on 2026-09-22 · rev:1375701110 (57,969 B on Wikipedia) · sim:CMP-022 · id:CMP-A022 · prio:A · type:mint · section:22 (Sampling)
- [ ] [[Normal_distribution]] — mint · no page in wiki/ on 2026-09-22 · rev:1376230387 (151,806 B on Wikipedia) · sim:CMP-023 · id:CMP-A023 · prio:A · type:mint · section:23 (Normal distribution)
- [ ] [[Monte_Carlo_method]] — place · page exists: 6 H2, 6.8 KB, no embed · rev:1372573790 (96,179 B on Wikipedia) · sim:CMP-024 · id:CMP-A024 · prio:A · type:place · section:24 (Monte Carlo method)
- [ ] [[Kriging]] — mint · owned by the apex spine (SMM-012: mint) · rev:1373716263 (40,648 B on Wikipedia) · sim:CMP-025 · id:CMP-A025 · prio:A · type:mint · section:25 (Kriging)
- [ ] [[Mathematical_optimization]] — place · page exists: 11 H2, 16.9 KB, no embed · rev:1376168042 (54,343 B on Wikipedia) · sim:CMP-026 · id:CMP-A026 · prio:A · type:place · section:26 (Mathematical optimization)
- [ ] [[Inequality_(mathematics)]] — mint · no page in wiki/ on 2026-09-22 · rev:1351959378 (28,481 B on Wikipedia) · sim:CMP-027 · id:CMP-A027 · prio:A · type:mint · section:27 (Inequality)
- [ ] [[Boolean_algebra]] — mint · no page in wiki/ on 2026-09-22 · rev:1368725040 (77,560 B on Wikipedia) · sim:CMP-028 · id:CMP-A028 · prio:A · type:mint · section:28 (Boolean algebra)
- [ ] [[Algorithm]] — place · page exists: 17 H2, 86.6 KB, no embed · rev:1376037819 (67,103 B on Wikipedia) · sim:CMP-029 · id:CMP-A029 · prio:A · type:place · section:29 (Algorithm)
- [ ] [[Cellular_automaton]] — place · page exists: 7 H2, 6.0 KB, no embed · rev:1370110809 (71,538 B on Wikipedia) · sim:CMP-030 · id:CMP-A030 · prio:A · type:place · section:30 (Cellular automaton)
#### Priority B — See-also children (120)
- [ ] [[Accuracy_and_precision]] — place · page exists: 9 H2, 14.9 KB, no embed · rev:1373730938 (25,183 B on Wikipedia) · sim:CMP-101 · See-also of section 1 (Measurement uncertainty) · id:CMP-A101 · prio:B · type:place
- [ ] [[Significant_figures]] — mint · no page in wiki/ on 2026-09-22 · rev:1376195923 (41,801 B on Wikipedia) · sim:CMP-102 · See-also of section 1 (Measurement uncertainty) · id:CMP-A102 · prio:B · type:mint
- [ ] [[Propagation_of_uncertainty]] — mint · no page in wiki/ on 2026-09-22 · rev:1332173257 (31,433 B on Wikipedia) · sim:CMP-103 · See-also of section 1 (Measurement uncertainty) · id:CMP-A103 · prio:B · type:mint
- [ ] [[Order_of_magnitude]] — mint · no page in wiki/ on 2026-09-22 · rev:1372911663 (18,002 B on Wikipedia) · sim:CMP-104 · See-also of section 1 (Measurement uncertainty) · id:CMP-A104 · prio:B · type:mint
- [ ] [[Ratio]] — mint · no page in wiki/ on 2026-09-22 · rev:1375767691 (25,476 B on Wikipedia) · sim:CMP-105 · See-also of section 2 (Proportionality) · id:CMP-A105 · prio:B · type:mint
- [ ] [[Rate_(mathematics)]] — mint · no page in wiki/ on 2026-09-22 · rev:1332634106 (8,529 B on Wikipedia) · sim:CMP-106 · See-also of section 2 (Proportionality) · id:CMP-A106 · prio:B · type:mint
- [ ] [[Percentage]] — mint · no page in wiki/ on 2026-09-22 · rev:1359144253 (22,173 B on Wikipedia) · sim:CMP-107 · See-also of section 2 (Proportionality) · id:CMP-A107 · prio:B · type:mint
- [ ] [[Parts-per_notation]] — mint · no page in wiki/ on 2026-09-22 · rev:1359383611 (26,668 B on Wikipedia) · sim:CMP-108 · See-also of section 2 (Proportionality) · id:CMP-A108 · prio:B · type:mint
- [ ] [[International_System_of_Units]] — mint · no page in wiki/ on 2026-09-22 · rev:1375159616 (72,559 B on Wikipedia) · sim:CMP-109 · See-also of section 3 (Dimensional analysis) · id:CMP-A109 · prio:B · type:mint
- [ ] [[Unit_of_measurement]] — mint · no page in wiki/ on 2026-09-22 · rev:1368744479 (28,265 B on Wikipedia) · sim:CMP-110 · See-also of section 3 (Dimensional analysis) · id:CMP-A110 · prio:B · type:mint
- [ ] [[Conversion_of_units]] — mint · no page in wiki/ on 2026-09-22 · rev:1343863735 (16,122 B on Wikipedia) · sim:CMP-111 · See-also of section 3 (Dimensional analysis) · id:CMP-A111 · prio:B · type:mint
- [ ] [[Buckingham_pi_theorem]] — mint · no page in wiki/ on 2026-09-22 · rev:1368546504 (35,191 B on Wikipedia) · sim:CMP-112 · See-also of section 3 (Dimensional analysis) · id:CMP-A112 · prio:B · type:mint
- [ ] [[Exponential_function]] — mint · no page in wiki/ on 2026-09-22 · rev:1370424026 (38,562 B on Wikipedia) · sim:CMP-113 · See-also of section 4 (Logarithm) · id:CMP-A113 · prio:B · type:mint
- [ ] [[Natural_logarithm]] — mint · no page in wiki/ on 2026-09-22 · rev:1375063233 (34,385 B on Wikipedia) · sim:CMP-114 · See-also of section 4 (Logarithm) · id:CMP-A114 · prio:B · type:mint
- [ ] [[Common_logarithm]] — mint · no page in wiki/ on 2026-09-22 · rev:1369139150 (17,294 B on Wikipedia) · sim:CMP-115 · See-also of section 4 (Logarithm) · id:CMP-A115 · prio:B · type:mint
- [ ] [[Logarithmic_scale]] — mint · no page in wiki/ on 2026-09-22 · rev:1334729722 (13,123 B on Wikipedia) · sim:CMP-116 · See-also of section 4 (Logarithm) · id:CMP-A116 · prio:B · type:mint
- [ ] [[Euclid's_Elements]] — mint · no page in wiki/ on 2026-09-22 · rev:1374543094 (98,008 B on Wikipedia) · sim:CMP-117 · See-also of section 5 (Euclidean geometry) · id:CMP-A117 · prio:B · type:mint
- [ ] [[Hilbert's_axioms]] — mint · no page in wiki/ on 2026-09-22 · rev:1374236865 (22,161 B on Wikipedia) · sim:CMP-118 · See-also of section 5 (Euclidean geometry) · id:CMP-A118 · prio:B · type:mint
- [ ] [[Triangle]] — mint · no page in wiki/ on 2026-09-22 · rev:1369029950 (57,685 B on Wikipedia) · sim:CMP-119 · See-also of section 5 (Euclidean geometry) · id:CMP-A119 · prio:B · type:mint
- [ ] [[Similarity_(geometry)]] — mint · no page in wiki/ on 2026-09-22 · rev:1376060739 (27,507 B on Wikipedia) · sim:CMP-120 · See-also of section 5 (Euclidean geometry) · id:CMP-A120 · prio:B · type:mint
- [ ] [[Scientific_modelling]] — mint · no page in wiki/ on 2026-09-22 · rev:1371659107 (22,431 B on Wikipedia) · sim:CMP-121 · See-also of section 6 (Mathematical model) · id:CMP-A121 · prio:B · type:mint
- [ ] [[Computer_simulation]] — mint · no page in wiki/ on 2026-09-22 · rev:1368373241 (30,037 B on Wikipedia) · sim:CMP-122 · See-also of section 6 (Mathematical model) · id:CMP-A122 · prio:B · type:mint
- [ ] [[Parameter]] — mint · no page in wiki/ on 2026-09-22 · rev:1371812800 (21,882 B on Wikipedia) · sim:CMP-123 · See-also of section 6 (Mathematical model) · id:CMP-A123 · prio:B · type:mint
- [ ] [[Function_(mathematics)]] — mint · no page in wiki/ on 2026-09-22 · rev:1374579623 (79,555 B on Wikipedia) · sim:CMP-124 · See-also of section 6 (Mathematical model) · id:CMP-A124 · prio:B · type:mint
- [ ] [[Exponential_decay]] — mint · no page in wiki/ on 2026-09-22 · rev:1358231453 (17,996 B on Wikipedia) · sim:CMP-125 · See-also of section 7 (Exponential growth) · id:CMP-A125 · prio:B · type:mint
- [ ] [[Doubling_time]] — place · page exists: 9 H2, 6.7 KB, no embed · rev:1365310966 (14,512 B on Wikipedia) · sim:CMP-126 · See-also of section 7 (Exponential growth) · id:CMP-A126 · prio:B · type:place
- [ ] [[Compound_interest]] — mint · no page in wiki/ on 2026-09-22 · rev:1375691149 (18,858 B on Wikipedia) · sim:CMP-127 · See-also of section 7 (Exponential growth) · id:CMP-A127 · prio:B · type:mint
- [ ] [[Half-life]] — place · page exists: 9 H2, 25.4 KB, no embed · rev:1373221894 (17,873 B on Wikipedia) · sim:CMP-128 · See-also of section 7 (Exponential growth) · id:CMP-A128 · prio:B · type:place
- [ ] [[Kepler's_laws_of_planetary_motion]] — place · page exists: 12 H2, 19.7 KB, 2 embeds already · rev:1374219016 (60,506 B on Wikipedia) · sim:CMP-129 · See-also of section 8 (Power law) · id:CMP-A129 · prio:B · type:place
- [ ] [[Allometry]] — mint · no page in wiki/ on 2026-09-22 · rev:1372324972 (49,603 B on Wikipedia) · sim:CMP-130 · See-also of section 8 (Power law) · id:CMP-A130 · prio:B · type:mint
- [ ] [[Scale_invariance]] — mint · no page in wiki/ on 2026-09-22 · rev:1359441415 (32,733 B on Wikipedia) · sim:CMP-131 · See-also of section 8 (Power law) · id:CMP-A131 · prio:B · type:mint
- [ ] [[Log–log_plot]] — mint · no page in wiki/ on 2026-09-22 · rev:1372691901 (16,602 B on Wikipedia) · sim:CMP-132 · See-also of section 8 (Power law) · id:CMP-A132 · prio:B · type:mint
- [ ] [[Geometric_progression]] — mint · no page in wiki/ on 2026-09-22 · rev:1374510268 (11,345 B on Wikipedia) · sim:CMP-133 · See-also of section 9 (Geometric series) · id:CMP-A133 · prio:B · type:mint
- [ ] [[Series_(mathematics)]] — mint · no page in wiki/ on 2026-09-22 · rev:1365704653 (84,038 B on Wikipedia) · sim:CMP-134 · See-also of section 9 (Geometric series) · id:CMP-A134 · prio:B · type:mint
- [ ] [[Convergent_series]] — mint · no page in wiki/ on 2026-09-22 · rev:1369959868 (11,651 B on Wikipedia) · sim:CMP-135 · See-also of section 9 (Geometric series) · id:CMP-A135 · prio:B · type:mint
- [ ] [[Annuity]] — mint · no page in wiki/ on 2026-09-22 · rev:1373470628 (36,340 B on Wikipedia) · sim:CMP-136 · See-also of section 9 (Geometric series) · id:CMP-A136 · prio:B · type:mint
- [ ] [[Ellipse]] — mint · no page in wiki/ on 2026-09-22 · rev:1374912483 (92,543 B on Wikipedia) · sim:CMP-137 · See-also of section 10 (Conic section) · id:CMP-A137 · prio:B · type:mint
- [ ] [[Parabola]] — mint · no page in wiki/ on 2026-09-22 · rev:1374365692 (83,417 B on Wikipedia) · sim:CMP-138 · See-also of section 10 (Conic section) · id:CMP-A138 · prio:B · type:mint
- [ ] [[Hyperbola]] — mint · no page in wiki/ on 2026-09-22 · rev:1374365422 (77,966 B on Wikipedia) · sim:CMP-139 · See-also of section 10 (Conic section) · id:CMP-A139 · prio:B · type:mint
- [ ] [[Eccentricity_(mathematics)]] — mint · no page in wiki/ on 2026-09-22 · rev:1367213080 (13,877 B on Wikipedia) · sim:CMP-140 · See-also of section 10 (Conic section) · id:CMP-A140 · prio:B · type:mint
- [ ] [[Focus_(geometry)]] — mint · no page in wiki/ on 2026-09-22 · rev:1311084369 (10,009 B on Wikipedia) · sim:CMP-141 · See-also of section 10 (Conic section) · id:CMP-A141 · prio:B · type:mint
- [ ] [[Gaussian_elimination]] — mint · no page in wiki/ on 2026-09-22 · rev:1365416799 (34,323 B on Wikipedia) · sim:CMP-142 · See-also of section 11 (System of linear equations) · id:CMP-A142 · prio:B · type:mint
- [ ] [[Linear_equation]] — mint · no page in wiki/ on 2026-09-22 · rev:1359797583 (13,218 B on Wikipedia) · sim:CMP-143 · See-also of section 11 (System of linear equations) · id:CMP-A143 · prio:B · type:mint
- [ ] [[Cramer's_rule]] — mint · no page in wiki/ on 2026-09-22 · rev:1372102893 (35,090 B on Wikipedia) · sim:CMP-144 · See-also of section 11 (System of linear equations) · id:CMP-A144 · prio:B · type:mint
- [ ] [[Linear_algebra]] — place · page exists: 10 H2, 13.5 KB, no embed · rev:1375740037 (69,773 B on Wikipedia) · sim:CMP-145 · See-also of section 11 (System of linear equations) · id:CMP-A145 · prio:B · type:place
- [ ] [[Matrix_multiplication]] — mint · no page in wiki/ on 2026-09-22 · rev:1374351709 (42,960 B on Wikipedia) · sim:CMP-146 · See-also of section 12 (Matrix) · id:CMP-A146 · prio:B · type:mint
- [ ] [[Determinant]] — mint · no page in wiki/ on 2026-09-22 · rev:1376151493 (107,647 B on Wikipedia) · sim:CMP-147 · See-also of section 12 (Matrix) · id:CMP-A147 · prio:B · type:mint
- [ ] [[Invertible_matrix]] — mint · no page in wiki/ on 2026-09-22 · rev:1375820369 (28,945 B on Wikipedia) · sim:CMP-148 · See-also of section 12 (Matrix) · id:CMP-A148 · prio:B · type:mint
- [ ] [[Transpose]] — mint · no page in wiki/ on 2026-09-22 · rev:1374772291 (19,423 B on Wikipedia) · sim:CMP-149 · See-also of section 12 (Matrix) · id:CMP-A149 · prio:B · type:mint
- [ ] [[Characteristic_polynomial]] — mint · no page in wiki/ on 2026-09-22 · rev:1374542919 (20,508 B on Wikipedia) · sim:CMP-150 · See-also of section 13 (Eigenvalues and eigenvectors) · id:CMP-A150 · prio:B · type:mint
- [ ] [[Diagonalizable_matrix]] — mint · no page in wiki/ on 2026-09-22 · rev:1360345349 (33,245 B on Wikipedia) · sim:CMP-151 · See-also of section 13 (Eigenvalues and eigenvectors) · id:CMP-A151 · prio:B · type:mint
- [ ] [[Principal_axis_theorem]] — mint · no page in wiki/ on 2026-09-22 · rev:1255082547 (9,142 B on Wikipedia) · sim:CMP-152 · See-also of section 13 (Eigenvalues and eigenvectors) · id:CMP-A152 · prio:B · type:mint
- [ ] [[Mohr's_circle]] — mint · no page in wiki/ on 2026-09-22 · rev:1330528049 (45,138 B on Wikipedia) · sim:CMP-153 · See-also of section 13 (Eigenvalues and eigenvectors) · id:CMP-A153 · prio:B · type:mint
- [ ] [[Linear_regression]] — mint · no page in wiki/ on 2026-09-22 · rev:1374805973 (57,552 B on Wikipedia) · sim:CMP-154 · See-also of section 14 (Least squares) · id:CMP-A154 · prio:B · type:mint
- [ ] [[Curve_fitting]] — mint · no page in wiki/ on 2026-09-22 · rev:1373606144 (22,196 B on Wikipedia) · sim:CMP-155 · See-also of section 14 (Least squares) · id:CMP-A155 · prio:B · type:mint
- [ ] [[Residual_(numerical_analysis)]] — mint · no page in wiki/ on 2026-09-22 · rev:1359848326 (2,679 B on Wikipedia) · sim:CMP-156 · See-also of section 14 (Least squares) · id:CMP-A156 · prio:B · type:mint
- [ ] [[Regression_analysis]] — mint · no page in wiki/ on 2026-09-22 · rev:1374805084 (38,903 B on Wikipedia) · sim:CMP-157 · See-also of section 14 (Least squares) · id:CMP-A157 · prio:B · type:mint
- [ ] [[Root-finding_algorithm]] — mint · no page in wiki/ on 2026-09-22 · rev:1365832838 (17,627 B on Wikipedia) · sim:CMP-158 · See-also of section 15 (Newton's method) · id:CMP-A158 · prio:B · type:mint
- [ ] [[Bisection_method]] — mint · no page in wiki/ on 2026-09-22 · rev:1375205262 (15,580 B on Wikipedia) · sim:CMP-159 · See-also of section 15 (Newton's method) · id:CMP-A159 · prio:B · type:mint
- [ ] [[Iterative_method]] — mint · no page in wiki/ on 2026-09-22 · rev:1359099885 (11,732 B on Wikipedia) · sim:CMP-160 · See-also of section 15 (Newton's method) · id:CMP-A160 · prio:B · type:mint
- [ ] [[Fixed-point_iteration]] — mint · no page in wiki/ on 2026-09-22 · rev:1292117524 (15,829 B on Wikipedia) · sim:CMP-161 · See-also of section 15 (Newton's method) · id:CMP-A161 · prio:B · type:mint
- [ ] [[Differential_calculus]] — mint · no page in wiki/ on 2026-09-22 · rev:1375872917 (27,680 B on Wikipedia) · sim:CMP-162 · See-also of section 16 (Derivative) · id:CMP-A162 · prio:B · type:mint
- [ ] [[Slope]] — mint · no page in wiki/ on 2026-09-22 · rev:1371955019 (18,879 B on Wikipedia) · sim:CMP-163 · See-also of section 16 (Derivative) · id:CMP-A163 · prio:B · type:mint
- [ ] [[Tangent]] — mint · no page in wiki/ on 2026-09-22 · rev:1348491347 (27,464 B on Wikipedia) · sim:CMP-164 · See-also of section 16 (Derivative) · id:CMP-A164 · prio:B · type:mint
- [ ] [[Chain_rule]] — mint · no page in wiki/ on 2026-09-22 · rev:1374347941 (38,676 B on Wikipedia) · sim:CMP-165 · See-also of section 16 (Derivative) · id:CMP-A165 · prio:B · type:mint
- [ ] [[Fundamental_theorem_of_calculus]] — mint · no page in wiki/ on 2026-09-22 · rev:1368883841 (36,575 B on Wikipedia) · sim:CMP-166 · See-also of section 17 (Integral) · id:CMP-A166 · prio:B · type:mint
- [ ] [[Riemann_sum]] — mint · no page in wiki/ on 2026-09-22 · rev:1367425751 (20,238 B on Wikipedia) · sim:CMP-167 · See-also of section 17 (Integral) · id:CMP-A167 · prio:B · type:mint
- [ ] [[Antiderivative]] — mint · no page in wiki/ on 2026-09-22 · rev:1372210386 (21,296 B on Wikipedia) · sim:CMP-168 · See-also of section 17 (Integral) · id:CMP-A168 · prio:B · type:mint
- [ ] [[Differential_equation]] — place · page exists: 9 H2, 11.9 KB, no embed · rev:1375131660 (32,312 B on Wikipedia) · sim:CMP-169 · See-also of section 18 (Ordinary differential equation) · id:CMP-A169 · prio:B · type:place
- [ ] [[Initial_value_problem]] — mint · no page in wiki/ on 2026-09-22 · rev:1339830472 (8,347 B on Wikipedia) · sim:CMP-170 · See-also of section 18 (Ordinary differential equation) · id:CMP-A170 · prio:B · type:mint
- [ ] [[Linear_differential_equation]] — mint · no page in wiki/ on 2026-09-22 · rev:1373776698 (31,828 B on Wikipedia) · sim:CMP-171 · See-also of section 18 (Ordinary differential equation) · id:CMP-A171 · prio:B · type:mint
- [ ] [[Newton's_laws_of_motion]] — place · page exists: 9 H2, 17.4 KB, 1 embed already · rev:1375948061 (129,624 B on Wikipedia) · sim:CMP-172 · See-also of section 18 (Ordinary differential equation) · id:CMP-A172 · prio:B · type:place
- [ ] [[Numerical_methods_for_ordinary_differential_equations]] — mint · no page in wiki/ on 2026-09-22 · rev:1373944781 (29,264 B on Wikipedia) · sim:CMP-173 · See-also of section 19 (Euler method) · id:CMP-A173 · prio:B · type:mint
- [ ] [[Truncation_error]] — mint · no page in wiki/ on 2026-09-22 · rev:1302579951 (6,724 B on Wikipedia) · sim:CMP-174 · See-also of section 19 (Euler method) · id:CMP-A174 · prio:B · type:mint
- [ ] [[Numerical_stability]] — mint · no page in wiki/ on 2026-09-22 · rev:1353491555 (11,805 B on Wikipedia) · sim:CMP-175 · See-also of section 19 (Euler method) · id:CMP-A175 · prio:B · type:mint
- [ ] [[Discretization]] — mint · no page in wiki/ on 2026-09-22 · rev:1375131785 (14,302 B on Wikipedia) · sim:CMP-176 · See-also of section 19 (Euler method) · id:CMP-A176 · prio:B · type:mint
- [ ] [[Midpoint_method]] — mint · no page in wiki/ on 2026-09-22 · rev:1218953146 (7,712 B on Wikipedia) · sim:CMP-177 · See-also of section 20 (Runge–Kutta methods) · id:CMP-A177 · prio:B · type:mint
- [ ] [[Adaptive_step_size]] — mint · no page in wiki/ on 2026-09-22 · rev:1352746961 (9,004 B on Wikipedia) · sim:CMP-178 · See-also of section 20 (Runge–Kutta methods) · id:CMP-A178 · prio:B · type:mint
- [ ] [[Verlet_integration]] — mint · no page in wiki/ on 2026-09-22 · rev:1371906785 (29,561 B on Wikipedia) · sim:CMP-179 · See-also of section 20 (Runge–Kutta methods) · id:CMP-A179 · prio:B · type:mint
- [ ] [[Symplectic_integrator]] — mint · no page in wiki/ on 2026-09-22 · rev:1341751154 (24,132 B on Wikipedia) · sim:CMP-180 · See-also of section 20 (Runge–Kutta methods) · id:CMP-A180 · prio:B · type:mint
- [ ] [[Standard_deviation]] — mint · no page in wiki/ on 2026-09-22 · rev:1374646029 (59,169 B on Wikipedia) · sim:CMP-181 · See-also of section 21 (Variance) · id:CMP-A181 · prio:B · type:mint
- [ ] [[Average]] — mint · no page in wiki/ on 2026-09-22 · rev:1375500526 (63,852 B on Wikipedia) · sim:CMP-182 · See-also of section 21 (Variance) · id:CMP-A182 · prio:B · type:mint
- [ ] [[Expected_value]] — mint · no page in wiki/ on 2026-09-22 · rev:1374139494 (55,806 B on Wikipedia) · sim:CMP-183 · See-also of section 21 (Variance) · id:CMP-A183 · prio:B · type:mint
- [ ] [[Covariance]] — mint · no page in wiki/ on 2026-09-22 · rev:1356541342 (32,596 B on Wikipedia) · sim:CMP-184 · See-also of section 21 (Variance) · id:CMP-A184 · prio:B · type:mint
- [ ] [[Sample_size_determination]] — mint · no page in wiki/ on 2026-09-22 · rev:1365443837 (28,746 B on Wikipedia) · sim:CMP-185 · See-also of section 22 (Sampling) · id:CMP-A185 · prio:B · type:mint
- [ ] [[Sampling_error]] — mint · no page in wiki/ on 2026-09-22 · rev:1362360854 (5,527 B on Wikipedia) · sim:CMP-186 · See-also of section 22 (Sampling) · id:CMP-A186 · prio:B · type:mint
- [ ] [[Standard_error]] — mint · no page in wiki/ on 2026-09-22 · rev:1374592103 (20,735 B on Wikipedia) · sim:CMP-187 · See-also of section 22 (Sampling) · id:CMP-A187 · prio:B · type:mint
- [ ] [[Central_limit_theorem]] — mint · no page in wiki/ on 2026-09-22 · rev:1360994353 (68,804 B on Wikipedia) · sim:CMP-188 · See-also of section 22 (Sampling) · id:CMP-A188 · prio:B · type:mint
- [ ] [[Log-normal_distribution]] — mint · no page in wiki/ on 2026-09-22 · rev:1374729298 (91,177 B on Wikipedia) · sim:CMP-189 · See-also of section 23 (Normal distribution) · id:CMP-A189 · prio:B · type:mint
- [ ] [[Probability_distribution]] — place · page exists: 7 H2, 8.4 KB, no embed · rev:1372848647 (54,295 B on Wikipedia) · sim:CMP-190 · See-also of section 23 (Normal distribution) · id:CMP-A190 · prio:B · type:place
- [ ] [[68–95–99.7_rule]] — mint · no page in wiki/ on 2026-09-22 · rev:1368634618 (16,829 B on Wikipedia) · sim:CMP-191 · See-also of section 23 (Normal distribution) · id:CMP-A191 · prio:B · type:mint
- [ ] [[Probability_density_function]] — place · page exists: 10 H2, 5.9 KB, no embed · rev:1362592168 (30,931 B on Wikipedia) · sim:CMP-192 · See-also of section 23 (Normal distribution) · id:CMP-A192 · prio:B · type:place
- [ ] [[Random_number_generation]] — mint · no page in wiki/ on 2026-09-22 · rev:1374928131 (30,079 B on Wikipedia) · sim:CMP-193 · See-also of section 24 (Monte Carlo method) · id:CMP-A193 · prio:B · type:mint
- [ ] [[Pseudorandom_number_generator]] — mint · no page in wiki/ on 2026-09-22 · rev:1373190473 (28,523 B on Wikipedia) · sim:CMP-194 · See-also of section 24 (Monte Carlo method) · id:CMP-A194 · prio:B · type:mint
- [ ] [[Law_of_large_numbers]] — mint · no page in wiki/ on 2026-09-22 · rev:1365847896 (46,033 B on Wikipedia) · sim:CMP-195 · See-also of section 24 (Monte Carlo method) · id:CMP-A195 · prio:B · type:mint
- [ ] [[Uncertainty_quantification]] — mint · no page in wiki/ on 2026-09-22 · rev:1375813788 (33,649 B on Wikipedia) · sim:CMP-196 · See-also of section 24 (Monte Carlo method) · id:CMP-A196 · prio:B · type:mint
- [ ] [[Geostatistics]] — mint · no page in wiki/ on 2026-09-22 · rev:1374345462 (16,168 B on Wikipedia) · sim:CMP-197 · See-also of section 25 (Kriging) · id:CMP-A197 · prio:B · type:mint
- [ ] [[Variogram]] — mint · no page in wiki/ on 2026-09-22 · rev:1342972127 (21,062 B on Wikipedia) · sim:CMP-198 · See-also of section 25 (Kriging) · id:CMP-A198 · prio:B · type:mint
- [ ] [[Interpolation]] — mint · no page in wiki/ on 2026-09-22 · rev:1371641406 (23,801 B on Wikipedia) · sim:CMP-199 · See-also of section 25 (Kriging) · id:CMP-A199 · prio:B · type:mint
- [ ] [[Gaussian_process]] — mint · no page in wiki/ on 2026-09-22 · rev:1375874745 (55,856 B on Wikipedia) · sim:CMP-200 · See-also of section 25 (Kriging) · id:CMP-A200 · prio:B · type:mint
- [ ] [[Golden-section_search]] — mint · no page in wiki/ on 2026-09-22 · rev:1370509692 (17,848 B on Wikipedia) · sim:CMP-201 · See-also of section 26 (Mathematical optimization) · id:CMP-A201 · prio:B · type:mint
- [ ] [[Gradient_descent]] — mint · no page in wiki/ on 2026-09-22 · rev:1373673523 (40,753 B on Wikipedia) · sim:CMP-202 · See-also of section 26 (Mathematical optimization) · id:CMP-A202 · prio:B · type:mint
- [ ] [[Linear_programming]] — mint · no page in wiki/ on 2026-09-22 · rev:1373521375 (67,162 B on Wikipedia) · sim:CMP-203 · See-also of section 26 (Mathematical optimization) · id:CMP-A203 · prio:B · type:mint
- [ ] [[Lagrange_multiplier]] — mint · no page in wiki/ on 2026-09-22 · rev:1363206730 (56,640 B on Wikipedia) · sim:CMP-204 · See-also of section 26 (Mathematical optimization) · id:CMP-A204 · prio:B · type:mint
- [ ] [[Break-even_point]] — mint · no page in wiki/ on 2026-09-22 · rev:1352864508 (12,377 B on Wikipedia) · sim:CMP-205 · See-also of section 27 (Inequality) · id:CMP-A205 · prio:B · type:mint
- [ ] [[Feasible_region]] — mint · no page in wiki/ on 2026-09-22 · rev:1372606344 (9,404 B on Wikipedia) · sim:CMP-206 · See-also of section 27 (Inequality) · id:CMP-A206 · prio:B · type:mint
- [ ] [[Constraint_(mathematics)]] — mint · no page in wiki/ on 2026-09-22 · rev:1315586163 (6,994 B on Wikipedia) · sim:CMP-207 · See-also of section 27 (Inequality) · id:CMP-A207 · prio:B · type:mint
- [ ] [[Triangle_inequality]] — mint · no page in wiki/ on 2026-09-22 · rev:1372762565 (36,588 B on Wikipedia) · sim:CMP-208 · See-also of section 27 (Inequality) · id:CMP-A208 · prio:B · type:mint
- [ ] [[George_Boole]] — place · page exists: 8 H2, 6.8 KB, no embed · rev:1374150021 (66,216 B on Wikipedia) · sim:CMP-209 · See-also of section 28 (Boolean algebra) · id:CMP-A209 · prio:B · type:place · kind:person
- [ ] [[Logic_gate]] — place · page exists: 10 H2, 34.1 KB, no embed · rev:1376198871 (44,890 B on Wikipedia) · sim:CMP-210 · See-also of section 28 (Boolean algebra) · id:CMP-A210 · prio:B · type:place
- [ ] [[Truth_table]] — mint · no page in wiki/ on 2026-09-22 · rev:1370268059 (44,651 B on Wikipedia) · sim:CMP-211 · See-also of section 28 (Boolean algebra) · id:CMP-A211 · prio:B · type:mint
- [ ] [[Propositional_logic]] — mint · no page in wiki/ on 2026-09-22 · rev:1369692082 (121,336 B on Wikipedia) · sim:CMP-212 · See-also of section 28 (Boolean algebra) · id:CMP-A212 · prio:B · type:mint
- [ ] [[Computational_complexity]] — mint · no page in wiki/ on 2026-09-22 · rev:1346714468 (21,476 B on Wikipedia) · sim:CMP-213 · See-also of section 29 (Algorithm) · id:CMP-A213 · prio:B · type:mint
- [ ] [[Big_O_notation]] — mint · no page in wiki/ on 2026-09-22 · rev:1375605201 (65,865 B on Wikipedia) · sim:CMP-214 · See-also of section 29 (Algorithm) · id:CMP-A214 · prio:B · type:mint
- [ ] [[Sorting_algorithm]] — mint · no page in wiki/ on 2026-09-22 · rev:1358157912 (68,014 B on Wikipedia) · sim:CMP-215 · See-also of section 29 (Algorithm) · id:CMP-A215 · prio:B · type:mint
- [ ] [[Pseudocode]] — mint · no page in wiki/ on 2026-09-22 · rev:1359600887 (15,014 B on Wikipedia) · sim:CMP-216 · See-also of section 29 (Algorithm) · id:CMP-A216 · prio:B · type:mint
- [ ] [[Von_Neumann_cellular_automaton]] — mint · no page in wiki/ on 2026-09-22 · rev:1371351714 (13,583 B on Wikipedia) · sim:CMP-217 · See-also of section 30 (Cellular automaton) · id:CMP-A217 · prio:B · type:mint
- [ ] [[Conway's_Game_of_Life]] — densify · stub exists: 3 H2, 2.5 KB · rev:1374066128 (55,033 B on Wikipedia) · sim:CMP-218 · See-also of section 30 (Cellular automaton) · id:CMP-A218 · prio:B · type:densify
- [ ] [[Von_Neumann_universal_constructor]] — mint · no page in wiki/ on 2026-09-22 · rev:1373003337 (25,715 B on Wikipedia) · sim:CMP-219 · See-also of section 30 (Cellular automaton) · id:CMP-A219 · prio:B · type:mint
- [ ] [[John_von_Neumann]] — place · page exists: 9 H2, 38.3 KB, no embed · rev:1375521158 (213,917 B on Wikipedia) · sim:CMP-220 · See-also of section 30 (Cellular automaton) · id:CMP-A220 · prio:B · type:place · kind:person
*Generated 2026-09-22 by `build_portals9.py` (Space Mining Pt 1, item 9) from `jobs.json`; 176 microsim rows (1 hero + 30 section + 120 variant + 25 briefs) · 150 article rows · 0 deletions. Do not hand-edit inside this region; rerun the builder or use `wtq.py` on the shard.*
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*Created 2026-09-22 (Space Mining Pt 1 run, item 9) · in service of [[PORTAL_WT!Space_Mining_In_Minnesota]] · titles verified against the Wikipedia API 2026-09-22 · hero built and gated SHIP · index: [[PORTAL_INDEX]]*