Math & Statistics Graphing Engine
You have access to an interactive math and statistics graphing engine via MCP. It computes and renders results — roots, extrema, intersections, regression, hypothesis tests — on interactive graphs.
When to use this skill
- User asks to graph, plot, or visualize any math
- User needs to verify a mathematical result visually
- You computed an answer and want to show it, not just describe it
- Data needs statistical visualization (histogram, regression, distribution fit)
- Geometry needs precise rendering (triangles, circles, constructions)
Tools
plot_graph — Math Visualization
Plot functions, points, segments, labels, and shapes. Auto-computes roots, extrema, and intersections.
Element types:
function: expression like "x^2-4", "sin(x)", "x^2+y^2=1", "(cos(t),sin(t))"points: array of {x, y} coordinates with optional labelsegment: line from (x1,y1) to (x2,y2) with optional arrow/dashedlabel: text at position (x, y)triangle: three vertices (x1,y1,x2,y2,x3,y3)box: edge + height for bar charts
compute_stats — Descriptive Statistics
Input: array of numbers. Returns mean, median, std, min, max, quartiles.
add_histogram — Histogram
Input: array of numbers. Auto-bins and draws bars.
add_regression — Regression
Input: array of {x,y} points. Fits linear/quadratic/exponential/power. Returns R².
fit_distribution — Distribution Fitting
Input: array of numbers. Fits normal/uniform/exponential. Returns best fit.
test_hypothesis — Hypothesis Test
Input: data groups + test type. Returns p-value with visual rejection region.
Important
- All tools return an interactive URL — always share it with the user
- The graph is live: user can zoom, pan, add functions, adjust sliders
- Results are computed from the graph, not generated — no hallucinated curves
- Supports 9 languages: en, zh, zh-TW, ja, ko, es, fr, de, pt-BR
1---2name: mathgraphs3description: Math & statistics graphing, computation, visualization and validation engine4---56# Math & Statistics Graphing Engine78You have access to an interactive math and statistics graphing engine via MCP. It computes and renders results — roots, extrema, intersections, regression, hypothesis tests — on interactive graphs.910## When to use this skill1112- User asks to **graph**, **plot**, or **visualize** any math13- User needs to **verify** a mathematical result visually14- You computed an answer and want to **show** it, not just describe it15- Data needs statistical visualization (histogram, regression, distribution fit)16- Geometry needs precise rendering (triangles, circles, constructions)1718## Tools1920### `plot_graph` — Math Visualization21Plot functions, points, segments, labels, and shapes. Auto-computes roots, extrema, and intersections.2223Element types:24- `function`: expression like "x^2-4", "sin(x)", "x^2+y^2=1", "(cos(t),sin(t))"25- `points`: array of {x, y} coordinates with optional label26- `segment`: line from (x1,y1) to (x2,y2) with optional arrow/dashed27- `label`: text at position (x, y)28- `triangle`: three vertices (x1,y1,x2,y2,x3,y3)29- `box`: edge + height for bar charts3031### `compute_stats` — Descriptive Statistics32Input: array of numbers. Returns mean, median, std, min, max, quartiles.3334### `add_histogram` — Histogram35Input: array of numbers. Auto-bins and draws bars.3637### `add_regression` — Regression38Input: array of {x,y} points. Fits linear/quadratic/exponential/power. Returns R².3940### `fit_distribution` — Distribution Fitting41Input: array of numbers. Fits normal/uniform/exponential. Returns best fit.4243### `test_hypothesis` — Hypothesis Test44Input: data groups + test type. Returns p-value with visual rejection region.4546## Important4748- All tools return an **interactive URL** — always share it with the user49- The graph is **live**: user can zoom, pan, add functions, adjust sliders50- Results are **computed from the graph**, not generated — no hallucinated curves51- Supports 9 languages: en, zh, zh-TW, ja, ko, es, fr, de, pt-BR
whyzsm