the402 x402 endpoint directory

Calculates each group positive-outcome rate, compares it with an explicit or automatically selected reference group, a

Applies a small fixed set of defensive regular-expression categories and returns category names, a bounded risk score

Compares term-frequency cosine similarity between a leading user position and paired independent/conditioned responses

Tokenizes each claim and its supplied evidence, removes a small declared English stop-word list, and reports the fract

Sorts groups by size, then assigns each to the available room that has all required features and minimizes unused capa

Multiplies each mutually exclusive supplied scenario probability by its supplied damage fraction and asset replacement

Calculates floor-area ratio and lot coverage and compares use, height, parking and geometry with an explicit caller-su

Builds parallel passes over an axis-aligned rectangle using supplied swath width and overlap, alternating travel direc

Adds lighting, equipment, people, envelope and ventilation heat flows at one supplied operating point, and converts ev

For each field cell, subtracts measured available nutrient from a supplied target and divides positive deficits by an

Sorts caller-supplied placement opportunities by end time and solves the weighted non-overlapping interval problem exa

Validates frame/channel dimensions, clamps weights to 0–1 and applies exponential smoothing over time in each named ch

Converts caller-supplied MIDI-note sequences to adjacent pitch intervals, forms fixed-length interval n-gram sets and

Slides each caller-supplied spacer over a bounded phage sequence in both orientations, records its minimum Hamming dis

Builds amino-acid k-mer sets, calculates Jaccard similarity, and finds the highest contiguous identity between each su

Compares one guide with caller-supplied candidate protospacers, weights mismatches in the guide’s final ten positions

Checks that a hydrophobic/polar sequence follows a self-avoiding unit-step lattice path, then counts non-consecutive h

Converts ++, +−, −+ and −− counts into a correlation for each of AB, AB′, A′B and A′B′, then computes S = E(AB) + E(AB

Computes all pair distances and a single-parameter Lennard-Jones 12-6 potential using caller-supplied epsilon and sigm

Cancels adjacent identical self-inverse gates on identical ordered targets and folds adjacent RX, RY or RZ rotations o

Compares caller-supplied Alice and Bob bases, retains matching-basis positions, calculates the quantum bit error rate

Sums enhancement_ppm×pixel_area, multiplies by wind speed, plume orientation, and a caller-supplied conversion factor,

Uses da/dt = -rho×sqrt(mu×a)/ballistic_coefficient for a circular orbit, holds density and ballistic coefficient const

Treats cells at or above a caller threshold as foreground, labels four-neighbor connected components, and reports area

Propagates two caller-supplied Cartesian states with constant velocity, analytically finds the clamped time of closest

Propagates a circular two-body orbit from altitude, inclination, RAAN, and initial orbital phase; rotates Earth at a f

Applies caller-supplied rename and numeric scale/offset rules to scalar attributes, optionally retaining unmapped fiel

Counts supplied outcomes, computes Pearson’s chi-square statistic, and estimates an upper-tail p-value with the Wilson

Evaluates caller-supplied telemetry samples against declared reaction-time, actions-per-second, movement-speed, and im

Iterates a deterministic daily stock-flow model with a fixed source, fixed sinks, and percentage-of-current-supply sin

Joins scalar facts by field name and evaluates explicit equals, not-equals, numeric bound, membership, contains, and e

Caps individual contributions when requested, computes each project’s raw quadratic match as (sum sqrt(contribution))²

Scores caller-supplied vote/transfer observations using cohort-relative transfer size, transfer recency, and repeated-

Computes the minimum Euclidean distance from each circular obstacle center to every path segment, then subtracts obsta

Groups caller-supplied scalar field changes by field name, selects the highest version, and reports a conflict when eq

Filters caller-supplied bids by CPU, memory and latency constraints, computes workload cost from quoted unit prices, a

Computes a deterministic shortest path over caller-supplied directed or bidirectional links with non-negative costs. I

Parses one frame up to 4096 bytes without contacting equipment. Modbus TCP includes MBAP fields and length validation;

Takes a list of returns with the figures your own systems already hold and returns one decision per return, with the a

Takes a text as text, a public URL or inline base64 — PDF, DOCX, ODT, HTML and Markdown are read — and returns it as a

Takes an inventory — the controller, and one entry per processing activity with its purposes, the stated legal basis,

Takes three documents — the common base and the two versions derived from it — as text, public URLs or inline base64,

Computes a transparent planning estimate for space-heating demand. The method is not DIN, VDI, GEG or PHPP and must no

Reads a hybrid invoice and returns it as data. Accepts a PDF with an embedded ZUGFeRD or Factur-X XML, or the EN 16931

Checks a name against the UK Sanctions List maintained by the Foreign, Commonwealth and Development Office. Returns ea

Checks a name against the Specially Designated Nationals and Blocked Persons List published by the US Treasury Office

Integrates the supplied current over time by the trapezoidal rule, so the result is only as good as the sampling inter

Returns published content ranges per board class multiplied by the lot mass. The spread between low and high is wide a

Returns the current fee rates for the usual confirmation targets together with the state of the mempool behind them, a

Looks a marine organism up in the taxonomically curated register rather than in an aggregator, and returns the accepte