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Numora Hessian Matrix Computation
x402
Numora Hessian Matrix Computation is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.04/call, status unknown (last checked 2026-09-14).
Computes the Hessian matrix (matrix of second-order partial derivatives) of a multivariable function at a given point
Price / call$0.04
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, the Hessian matrix as a 2D array in 'result', and a human-readable 'computation' string describing what was computed — e.g. the n×n matrix of all second-order partial derivatives evaluated at the given point.
Example use cases
Example prompt
“Compute the Hessian matrix of f(x, y) = x^3 + y^3 - 3*x*y at the point [1, 1] so I can determine the nature of the critical point there.”
Technical details
Endpoint
POSThttps://numorapoi.orbonomy.xyz/api/calculus/hessianWhen to prefer
Use this endpoint when you need pure server-side symbolic or numerical computation of the Hessian matrix with no external dependencies — ideal for optimization tasks, convexity analysis, Newton's method steps, or saddle point detection where you need the full matrix of second partial derivatives at a specific point. Prefer this over general-purpose math libraries when you need a lightweight, stateless API call paid per-use via USDC micropayment.
Side effects
- Invalid or unparseable function expression returns an error
- Point array dimension mismatch with number of variables in function
- Non-differentiable function at the given point causes computation failure
- Malformed input JSON or missing required fields returns 400-level error
- Payment not completed via x402 micropayment returns 402 Payment Required
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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