{"uid":"cap_MuPtZVDjgThG6zhiNsCAW","slug":"one-engine-scaled-difference-series-parameter-2-tier-5-e4cadc0c","name":"ONE Engine Scaled Difference Series — Parameter 2, Tier 5","description":"Deterministic numeric series utility: Calculate sequential differences scaled by N; parameter=2. Tier 5/10 provides progressively richer diagnostics.","url":"https://one-search.one-engine.workers.dev/v12/number-series/scaled-difference/p2/t5?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":null,"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.0036","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":"$0.0036/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.0036","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.0036","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_T0SOV-rCuSVpHV0rNExJ0","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.0036","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Calculates sequential differences of a numeric series scaled by N=2, returning tier-5 diagnostics with progressively richer output.","exampleAgentPrompt":"Calculate the sequential differences for the number series [3, 7, 12, 20, 31] scaled by 2, and give me the full tier-5 diagnostic breakdown of the results.","exampleUseCases":[{"title":"Time series delta analysis","prompt":"I have a list of daily sales figures [100, 115, 130, 160, 195] — can you compute the sequential differences scaled by 2 and give me the detailed diagnostics so I can see the acceleration in growth?"},{"title":"Signal processing preprocessing","prompt":"Run a scaled-by-2 sequential difference transform on this sensor reading series [0.5, 1.2, 2.1, 3.5, 5.2, 7.4] and return the tier-5 diagnostic output so I can inspect the scaled deltas."},{"title":"Numeric sequence rate-of-change check","prompt":"For the sequence [10, 13, 17, 22, 28, 35], calculate the consecutive differences scaled by N=2 using the tier-5 detail level so I get the full breakdown of each step."}],"resultDescription":"Returns an array of scaled sequential differences (each consecutive pair difference multiplied by the scaling parameter N=2), accompanied by tier-5 progressive diagnostics including intermediate values, step-level metadata, and richer analytical output compared to lower tiers.","failureModes":["Input series too short (fewer than 2 elements) — insufficient data to compute differences","Invalid or non-numeric values in the series — malformed input error","Payment not fulfilled via x402 — HTTP 402 response blocking execution","Server-side computation error for extreme numeric ranges — overflow or precision error","Missing required POST body fields — 400 bad request"],"whenToPreferThis":"Choose this endpoint when you need deterministic sequential difference calculations with a scaling factor of 2 and want richer tier-5 diagnostic output for debugging, auditing, or analytical purposes. It is best suited for lightweight, low-cost numeric series transformations where you want more than basic output — tier 5 provides progressively more metadata than lower tiers. Prefer this over generic math libraries when you need a pay-per-call, agent-friendly REST interface with structured diagnostics.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-11-07T06:32:05.235Z","isFirstParty":false,"canonicalSlug":"one-engine-scaled-difference-series-parameter-2-tier-5-e4cadc0c"}