{"uid":"cap_V8-5_8w1WkrBzNwYd26Rs","slug":"numora-calculus-series-computation-747a2eff","name":"Numora Calculus Series Computation","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/series","method":"POST","headers":{},"bodySchema":{"type":"object","required":["fn"],"properties":{"fn":{"type":"string","description":"Term expression with index n"},"maxTerms":{"type":"integer"},"tolerance":{"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_XBMvdSL132cbEKof8Jbxc","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 sum or convergence of a mathematical series given a term expression in index n, with configurable maximum terms and tolerance.","exampleAgentPrompt":"Can you compute the sum of the series defined by the term 1/n^2, stopping after 100 terms or when the result converges within a tolerance of 0.0001?","exampleUseCases":null,"resultDescription":"Returns a JSON object with success flag, a result object containing the computed series sum and convergence details, and a human-readable computation string describing what was evaluated.","failureModes":["Invalid or unparseable term expression fn returns a computation error","Missing required fn parameter returns a 400-level validation error","Series diverges and no tolerance stopping condition is met, potentially hitting maxTerms limit","Payment not included or insufficient USDC micropayment returns a 402 Payment Required response","Malformed JSON body returns a parse error"],"whenToPreferThis":"Use this endpoint when you need server-side, dependency-free computation of a mathematical series given a symbolic term formula in index n. Prefer this over client-side JavaScript math or general-purpose LLM arithmetic when you need reliable numerical convergence with configurable precision and term limits, especially in agentic pipelines that can handle x402 micropayments on Base.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:04:54.033Z","isFirstParty":false}