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Numora Taylor Series Expansion
x402
Numora Taylor Series Expansion 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 Taylor series expansion of a mathematical function around a specified center point up to a given order
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 status, a result object containing the Taylor series data (coefficients, terms, or polynomial representation), and a human-readable computation string describing what was computed.
Example use cases
Example prompt
“Can you compute the Taylor series expansion of sin(x) centered at 0 up to order 6?”
Technical details
Endpoint
POSThttps://numorapoi.orbonomy.xyz/api/calculus/taylorWhen to prefer
Choose this endpoint when you need a symbolic or numeric Taylor/Maclaurin series expansion of a mathematical function with no external library dependencies. Ideal for AI agents needing on-demand calculus computations without setting up a local math environment. Prefer over general-purpose code execution when you want a clean, structured JSON result with zero setup.
Side effects
- Invalid or unparseable function expression in 'fn' — returns error or success:false
- Non-integer or negative order value — schema validation failure
- Center point outside the domain of the function (e.g. ln(x) centered at 0) — mathematical domain error
- Payment failure via x402 micropayment — 402 Payment Required response
- Malformed request body missing required fields — 400 Bad Request
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| fnrequired | string | |
| orderrequired | integer | |
| centerrequired | number |
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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