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Numora Hessian Matrix Computation
x402
Numora Hessian Matrix Computation 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 Hessian matrix (matrix of second-order partial derivatives) of a multivariable function at a specified 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 'success' boolean, a 'result' object containing the Hessian matrix (an n×n matrix of second-order partial derivatives evaluated at the given point), and a 'computation' string with a human-readable description of what was calculated.
Example use cases
Example prompt
“Can you compute the Hessian matrix of f(x,y) = x^2 + 3*x*y + y^3 at the point [1, 2]?”
Technical details
Endpoint
POSThttps://numormor.netlify.app/api/calculus/hessianWhen to prefer
Use this endpoint when you need the Hessian matrix for optimization tasks (e.g., Newton's method, checking second-order conditions for local minima/maxima), curvature analysis, or any calculus workflow requiring second-order partial derivatives — all without external library dependencies, paid per-call via x402 micropayments on Base.
Side effects
- Invalid or unparseable function expression — returns error if 'fn' cannot be parsed
- Point array dimension mismatch with the number of variables in the function
- Non-numeric values in the point array
- Payment not included or invalid x402 micropayment header — returns 402 Payment Required
- Division by zero or undefined value at the specified evaluation point
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| fnrequired | string | |
| 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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