{"uid":"cap_JODhkGcQ7uFY4nL7PiF7T","slug":"numora-taylor-series-expansion-api-6f7ffd6c","name":"Numora Taylor Series Expansion API","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://numormor.netlify.app/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":{"p10Cents":"10.0000","medianCents":"10.0000","p90Cents":"10.0000","minCents":"10.0000","maxCents":"10.0000","p95Cents":"10.0000","sampleCount":1,"varies":false,"failureChargeRate":1},"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_Ix5VltctP2AZIbRoW_NCn","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","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 containing a success flag, a result object with the Taylor series data (likely coefficients and/or the polynomial expression), and a human-readable computation string describing what was calculated.","failureModes":["Invalid or unparseable function expression returns error","Non-integer order value causes validation failure","Order too high may cause performance or overflow issues","Missing required fields (fn, order, center) returns 400-style error","Functions with singularities at the center point may return NaN or error","Payment not provided or insufficient USDC triggers 402 Payment Required"],"whenToPreferThis":"Use this endpoint when you need a symbolic or numerical Taylor series expansion of a mathematical function around a specific point, especially in pure math, physics simulations, or numerical approximation workflows where no external math library is available and micropayment-based computation is acceptable.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T00:35:14.419Z","isFirstParty":false}