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Numora Continued Fraction Expansion
x402
Numora Continued Fraction Expansion 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 continued fraction representation of a real number to a specified depth
Price / call$0.1
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 flag, a result object containing the continued fraction coefficients (partial quotients) for the input number at the requested depth, and a human-readable computation description string.
Example use cases
Verify rational approximations for engineering tolerances
“I need to find the best simple fraction approximations of 2.71828182846 for a mechanical design. Can you compute the continued fraction to depth 8 so I can check the convergents?”
Analyze mathematical constants for number theory research
“Help me understand the structure of the golden ratio. What's the continued fraction representation of 1.618033988749895 at depth 12?”
Simplify complex decimals into exact fractional forms
“I have a measurement of 1.41421356237 from an experiment. Can you compute its continued fraction expansion to depth 7 to see if it matches any known mathematical constants?”
Technical details
Endpoint
POSThttps://numormor.netlify.app/api/number/continued-fractionWhen to prefer
Use this endpoint when you need the exact continued fraction decomposition of a specific real number for number theory work, approximation analysis, or studying convergents. Ideal when you need a pure math computation with no external library dependencies and are comfortable with x402 micropayments on Base.
Side effects
- Missing required field x returns validation error
- Non-numeric value for x causes parse error
- Depth too large may cause timeout or truncation
- Payment failure via x402 micropayment returns 402 status
- Negative or zero depth may return error or default behavior
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| xrequired | number | |
| depth | integer |
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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