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Evaluates clear-sky irradiance in the module plane for tilt angles from zero to ninety degrees on the fifteenth of each month and sums the days. Because it assumes a cloudless sky, the optimum leans slightly steeper than a real-weather optimum, where diffuse light from an overcast sky rewards flatter angles; in summer the difference is small, in winter months it reaches ten to fifteen degrees, so treat the winter figures as an upper bound.

Runs a deterministic bucket balance for each supplied day. Rain is reduced by a caller-selected runoff fraction, evapotranspiration is subtracted, water above field capacity is reported as drainage, and storage is bounded at zero. This is a root-zone accounting model, not a sensor reading, weather forecast, hydraulic simulation or irrigation command.

Cryptographic verification of the offer-receipt extension of x402. Accepts a signed offer in eip712, jws or eip191 form — either bundled as {format, payload, signature} or as payload plus a separate signature — and an optional signed receipt. Recovers the signer, compares it with the payTo of the offer, compares receipt and offer field by field and names every divergence with the value on each side, checks whether the offer has expired and whether the receipt timestamps are plausible against sta

Uses lattice dimension, log2 determinant and an assumed root-Hermite factor to estimate Gaussian-heuristic and reduced-basis vector lengths in log2 units. It does not execute lattice reduction, validate an LWE instance or provide a cryptographic security level.

Tokenizes caller-supplied campaign and trend keywords, calculates overlap relative to the trend vocabulary, and flags any supplied blocked keyword. It neither discovers live trends nor recommends deception, impersonation or spam; its scoped purpose is a transparent relevance and brand-safety screen.

Selects and fills a small declared dialogue template using a caller-supplied seed, NPC name, intent, tone, and facts. It produces a reproducible writing prompt, not model-generated prose, lore verification, localization, or a complete conversation system.

Computes cohort median, median absolute deviation and robust z-scores for one numeric reading per device. A caller-selected threshold determines flags. It detects cross-sectional outliers only and does not diagnose root cause or learn temporal behavior.

Computes free-space loss at one metre, applies a caller-supplied path-loss exponent over distance, then reports estimated receive power and margin against receiver sensitivity. This planning estimate does not model terrain, Fresnel obstruction, interference, antenna mismatch or regulatory duty cycle.

Compounds supplied rent and expense growth assumptions, applies vacancy and collection loss, subtracts operating expenses and capital reserve, and divides net operating income by a caller-supplied property value. This is scenario arithmetic, not a valuation, market forecast, investment recommendation, tax calculation or guarantee of income.

Treats a caller-supplied odd-length bit word as a classical repetition code, majority-decodes one logical bit, and reports the corrected word and adjacent XOR syndrome. This narrow demonstration is not a surface-code simulation and does not model coherent quantum errors, measurements or fault-tolerant thresholds.

Checks wind, gust, lightning distance, precipitation, cloud fraction, and temperature against caller-supplied limits and reports every failed rule. It does not retrieve observations, forecast weather, interpret vehicle-specific rules, detect upper-level winds, or authorize a launch.

Fits reference = slope × observed + offset with ordinary least squares over paired caller-supplied readings. It reports residual diagnostics and does not claim traceability, uncertainty accreditation or suitability beyond the supplied calibration range.

Compares the volume of the most recent completed minute candle with the distribution of minute volumes over the chosen lookback, taken from the history this hub records itself every minute. Median and median absolute deviation are used instead of mean and standard deviation because volume is skewed. Every finding carries its z value, the baseline median, the baseline MAD and the number of samples behind it, so it can be recomputed rather than believed. Pairs without a finding are returned in qui

Applies caller-selected thresholds to supply/return temperature differences, commanded operation, fan state and electrical power. It identifies rule violations in supplied observations only; it does not connect to building controls, establish root cause, replace commissioning or authorize maintenance actions.

Answers the question an agent actually has about a product cycle: for the version in use, is support over, how many days remain, and where should it move. Given a product identifier from endoflife.date and optionally a version, it locates the matching release line and returns the release date, the end of active support, the end of life, the end of extended security support where one exists, whether the line is an LTS line, the latest patch release within that line and the number of days to each…

Returns the full version history of a package from a single normalised schema that covers seven ecosystems. Versions are ordered by semantic version, not alphabetically and not in registry order, so 1.10.0 sorts after 1.9.0 — the mistake that quietly breaks naive comparisons. For each version you get the publication timestamp, whether it is the registry default, whether it is deprecated and the deprecation reason as the registry states it.

Daily energy balance and straight run-down from the figures supplied. Solar input is caller data in watt-hours per day; nothing is fetched and no weather is assumed. Time to empty means time to the reserve floor, not to zero. Idle draw and conversion efficiency apply to AC loads only. Ageing, temperature and Peukert behaviour are not modelled, which matters for lead acid far more than for LiFePO4.

Normalizes whitespace, inserts a caller-supplied visible marker after every selected number of words and at the end of a final partial interval, then reports source and output digests. This deliberately visible text annotation is not a robust image, audio or cryptographic watermark and can be removed by editing.

Compares supplied visits, mean dwell time and conversions with explicit baselines and combines the three ratios using caller-supplied weights. It does not collect location data, count people, infer demographics or forecast demand. Inputs should be aggregated and lawfully collected.

Validates the pair of prefix and origin AS against the RPKI repository and returns the verdict together with every ROA that bears on it: the authorised origin, the prefix it covers and the maximum length it permits. The three outcomes are kept strictly apart because they mean different things and one of them is routinely misread. Valid means a ROA exists and covers exactly this combination.

Turns the release history of a package into a maintenance signal an agent can act on. Four measurements go in: the age in days of the newest stable release, the median gap between the last ten releases, the ratio of the current silence to that median, and whether the newest version is deprecated. Each maps to a component score and the components combine into a grade from A to E.

Maps a seed and asset category to declared silhouette, material, palette, symmetry, and detail parameters. The result is a machine-readable design specification only; it does not render geometry, textures, animation, or production-ready art.

Takes the gross lot weight, the purchase price paid per kilogram of gross weight and the sales price per kilogram of recovered metal, then applies recovery yield and melting loss for the scrap grade. Yield and loss default to practice values per grade and can be overridden. Handling, transport and disposal cost are optional flat amounts. The endpoint applies no market price and fetches none: sales_price_eur_per_kg is supplied by the caller.

Applies a transparent heuristic: cycle fade scales with equivalent full cycles and depth-of-discharge exponent; calendar fade scales with square-root time and a temperature factor. Coefficients are caller supplied or declared defaults. This is not cell-chemistry validation, warranty advice or a safety prognosis.