{"uid":"cap_jvPdfAtRV8KlFO6dMBv5F","slug":"numora-taylor-series-expansion-api-9acc9ebc","name":"Numora Taylor Series Expansion","description":"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.","url":"https://numorapoi.orbonomy.xyz/api/calculus/taylor","method":"POST","headers":{},"bodySchema":{"type":"object","required":["fn","order","center"],"properties":{"fn":{"type":"string"},"order":{"type":"integer"},"center":{"type":"number"}}},"responseSchema":{"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"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.04/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.04","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.04","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_v2oauMnXIbLaktwPYtVpS","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.04","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the Taylor series expansion of a mathematical function around a specified center point up to a given order","exampleAgentPrompt":"Can you compute the Taylor series expansion of sin(x) centered at 0 up to order 6?","exampleUseCases":null,"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:06:20.975Z","isFirstParty":false}