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Numora Jacobian Matrix Computation
x402
Numora Jacobian Matrix Computation is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).
Computes the Jacobian matrix of a system of multivariate functions 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 a 'result' containing the Jacobian matrix (array of arrays of partial derivative values), a 'success' boolean, and a 'computation' string describing what was computed in human-readable form.
Example use cases
Nonlinear system sensitivity analysis
“I have a system of two nonlinear equations f1 = x^2 + y^2 and f2 = x*y - 1. Can you compute the Jacobian matrix at the point [1, 1] so I can analyze local linearization?”
Robotics inverse kinematics
“I need the Jacobian of my robot arm's forward kinematics equations [cos(q1) + cos(q1+q2), sin(q1) + sin(q1+q2)] evaluated at joint angles [pi/4, pi/4] to plan motion control.”
Optimization gradient verification
“Before running Newton's method, can you compute the Jacobian of my system [x^3 - y, y^2 - x] at the current estimate [1.5, 1.2] so I can verify the gradient structure?”
Technical details
Endpoint
POSThttps://numormo.vercel.app/api/calculus/jacobianWhen to prefer
Choose this endpoint when you need a precise, numerically computed Jacobian matrix for a system of multivariate functions at a specific point — especially in calculus, optimization, nonlinear equation solving, or robotics contexts — without needing to set up a full CAS environment or external math library dependency.
Side effects
- Invalid or non-parseable function expressions in 'fns' array
- Dimension mismatch between number of functions and point coordinates
- Evaluation point causes singularity or undefined value (e.g. division by zero)
- Empty 'fns' or 'point' arrays
- Unsupported mathematical syntax in function strings
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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