# Numora Calculus Series Computation

> Numora Calculus Series 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 sum of a mathematical series given a term expression in index n, with configurable term count and convergence tolerance

## Facts

- Endpoint: POST https://numormor.netlify.app/api/calculus/series
- 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-calculus-series-computation-41982e03
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_DKEtrKg9Ec6OeJ1UALcJ6

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-41982e03 -d '<json body>'
```

Example prompt: Use Numora to compute the sum of the series with term expression 1/n^2 up to 100 terms with a tolerance of 0.0001.

## When to prefer this

Use this endpoint when you need to compute the partial or approximate sum of a mathematical series defined by a closed-form term expression in index n, especially when you want to control convergence tolerance or the number of terms. Prefer this over general-purpose symbolic math tools when you need a fast, deterministic, dependency-free numeric result via micropayment-accessible API.

## Known failure modes

- Invalid or unparseable term expression fn returns an error
- Non-convergent series may not produce a meaningful result within maxTerms
- Missing required fn parameter returns a validation error
- Malformed JSON body returns 400 bad request
- Payment failure via x402 blocks the request before computation

## 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 related numerical output, 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

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