# Numora Jacobian Matrix Computation

> 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

## Facts

- Endpoint: POST https://numormo.vercel.app/api/calculus/jacobian
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-jacobian-matrix-computation-460b23e4
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_q5vRuf6pPQ3gWZpgD_j7p

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-jacobian-matrix-computation-460b23e4 -d '<json body>'
```

Example prompt: Calculate the Jacobian matrix of the functions [x^2*y, x*sin(y)] at the point [2, pi/2] for me.

## When to prefer this

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.

## Known failure modes

- 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

## 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.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "fns",
  "point"
 ],
 "properties": {
  "fns": {
   "type": "array"
  },
  "point": {
   "type": "array"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-jacobian-matrix-computation-460b23e4/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)