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Numora Calculus Jacobian Matrix API
x402
Numora Calculus Jacobian Matrix API is a paid API for AI agents from numormor.netlify.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).
Computes the Jacobian matrix of a vector-valued function evaluated at a given point
Price / call$0.1
Success—
StatusUnknown
How this service works
100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.
Output
Returns a JSON object with 'success' (true), 'result' containing the Jacobian matrix (a 2D array of partial derivatives evaluated at the given point), and 'computation' providing a human-readable description of what was computed.
Example use cases
Example prompt
“Compute the Jacobian matrix for the vector function [x*y, x^2 + y, sin(x)*z] evaluated at the point [1, 2, 3].”
Technical details
Endpoint
POSThttps://numormor.netlify.app/api/calculus/jacobianWhen to prefer
Choose this endpoint when you need a pure server-side computation of a Jacobian matrix with no external library dependencies, especially when the computation needs to be performed programmatically by an AI agent using micropayments. Ideal for robotics, optimization, numerical methods, or coordinate transformations where you need the full matrix of first-order partial derivatives. Prefer over symbolic math tools when you need a numeric result at a specific point quickly.
Side effects
- Invalid or non-parseable function expressions in 'fns' array — returns error
- Mismatched dimensions between functions and point coordinates
- Point array contains non-numeric values — parsing error
- Singular or undefined partial derivatives at the given point (e.g. division by zero)
- Payment not provided or insufficient — x402 payment required
- Malformed JSON body — 400 bad request
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| fnsrequired | array | |
| pointrequired | array |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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