{"uid":"cap_J71RljeafD9PxvCItGEyN","slug":"numora-jacobian-matrix-computation-0ab5dff0","name":"Numora Jacobian Matrix 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/jacobian","method":"POST","headers":{},"bodySchema":{"type":"object","required":["fns","point"],"properties":{"fns":{"type":"array"},"point":{"type":"array"}}},"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_NE_0hYx2lZQgLYDSilb3f","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 Jacobian matrix of a vector-valued function at a specified point","exampleAgentPrompt":"Compute the Jacobian matrix for these two functions — f1 = x^2 + y, f2 = sin(x) + y^2 — evaluated at the point (1, 2).","exampleUseCases":null,"resultDescription":"Returns a JSON object with success status, the Jacobian matrix (2D array of partial derivatives evaluated at the given point), and a human-readable description of what was computed.","failureModes":["Invalid function expressions in fns array result in parse or evaluation error","Point array dimension mismatch with number of functions causes computation failure","Non-numeric values in point array return validation error","Empty fns or point arrays return required field error","Payment failure via x402 returns 402 status before computation"],"whenToPreferThis":"Use this endpoint when you need a pure server-side numerical or symbolic Jacobian matrix computation without setting up a local math library. Ideal for AI agents performing optimization, sensitivity analysis, or Newton-method iterations where no local compute environment is available.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T06:34:00.169Z","isFirstParty":false}