# Numora Calculus Series Computation

> Numora Calculus Series Computation is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).

Computes the sum or convergence of a mathematical series given a term expression in index n, with optional term limit and tolerance.

## Facts

- Endpoint: POST https://numormo.vercel.app/api/calculus/series
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-calculus-series-computation-0dbcf6e2
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_ilDzFZ06xpSYnkZueMnZV

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-calculus-series-computation-0dbcf6e2 -d '<json body>'
```

Example prompt: Can you compute the sum of the series whose nth term is 1/n^2, using up to 10000 terms and a tolerance of 0.0001?

## When to prefer this

Choose this endpoint when you need to numerically compute the sum or convergence behavior of a series defined by a closed-form nth-term expression, especially for calculus, financial math, or physics applications. Prefer it over general-purpose code execution when you want a fast, stateless, zero-dependency computation with micropayment pricing and no environment setup.

## Known failure modes

- Invalid or unparseable fn expression returns an error
- Non-convergent series may exhaust maxTerms without reaching tolerance
- Missing required fn parameter returns a 400-level error
- Division by zero or undefined terms within the expression may cause computation failure
- Very large maxTerms values may increase latency or timeout

## 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 boolean success flag, a result object containing the computed series sum and convergence details, and a human-readable computation string describing what was calculated.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "fn"
 ],
 "properties": {
  "fn": {
   "type": "string",
   "description": "Term expression with index n"
  },
  "maxTerms": {
   "type": "integer"
  },
  "tolerance": {
   "type": "number"
  }
 }
}
```

## 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-calculus-series-computation-0dbcf6e2/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)