{"uid":"cap_DKEtrKg9Ec6OeJ1UALcJ6","slug":"numora-calculus-series-computation-41982e03","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://numormor.netlify.app/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":{"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_ZD0A6o1hmMJyIV3yr-mSe","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 sum of a mathematical series given a term expression in index n, with configurable term count and convergence tolerance","exampleAgentPrompt":"Use Numora to compute the sum of the series with term expression 1/n^2 up to 100 terms with a tolerance of 0.0001.","exampleUseCases":null,"resultDescription":"Returns a JSON object with a boolean success flag, a result object containing the computed series sum and related numerical output, and a human-readable computation string describing what was calculated.","failureModes":["Invalid or unparseable term expression fn returns an error","Non-convergent series may not produce a meaningful result within maxTerms","Missing required fn parameter returns a validation error","Malformed JSON body returns 400 bad request","Payment failure via x402 blocks the request before computation"],"whenToPreferThis":"Use this endpoint when you need to compute the partial or approximate sum of a mathematical series defined by a closed-form term expression in index n, especially when you want to control convergence tolerance or the number of terms. Prefer this over general-purpose symbolic math tools when you need a fast, deterministic, dependency-free numeric result via micropayment-accessible API.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T06:43:46.424Z","isFirstParty":false}