Ground-up hotel development underwriting. Land + hard costs (S-curve draw) + soft costs + developer fee, funded by a construction loan (LTC) with capitalized interest, refinanced into a permanent loan sized on min(stabilized-value LTV, DSCR) at the CL term. Occupancy begins the month after construction; the hold is measured from construction end. Returns unlevered and levered project IRR and MOIC. Reconciled to a SHA-pinned Excel model — see /hotel-dev/reconciliation.

Hotel acquisition underwriting — stabilized or bridge-to-perm value-add. Quarterly ADR x occupancy RevPAR build, other/ancillary revenue, PIP capital, construction loan with capitalized interest, permanent loan sized on min(stabilized-value LTV, purchase-price LTV, DSCR), and exit. Returns unlevered and levered project IRR and MOIC. Reconciled to a SHA-pinned Excel model — see /hotel-acq/reconciliation.

Fetch a public web page and return clean markdown (or structured JSON) — URL in, agent-ready content out, typically 80-85% fewer tokens than raw HTML. Handles redirects and compression.

Multiply two matrices A·B. The inner dimensions must agree (columns of A equal rows of B); a mismatch or a ragged/empty matrix is a clean 400.

Mint a signed JSON Web Token from a JSON claims object, using a shared secret (HS*) or a PEM private key (RS/ES/PS). Supports expiresInSec, notBeforeSec, issuer, audience, subject and keyid. An unusable key or option is rejected before payment.

Validate a BIC/SWIFT code and decompose it into bank, country, location and branch codes.

Area (shoelace formula), perimeter and centroid of a simple polygon given its vertices in order. Vertices are treated as a closed ring (last connects to first).

Poisson distribution with rate `lambda` (> 0, ≤ 1e9). `function` selects the mass (pmf), cumulative distribution (cdf) or quantile / inverse-CDF.

Binomial distribution with `trials` (n ≥ 0, ≤ 1e6) and success `probability` (0..1). `function` selects the mass (pmf), cumulative distribution (cdf) or quantile / inverse-CDF.

Number of ordered arrangements of r items from n, nPr = n!/(n-r)!. Requires r ≤ n and r ≤ 10000.

Multinomial coefficient (k1+k2+…)! / (k1! k2! …) — the number of ways to partition n = Σki items into labelled groups of the given sizes. The sum must be ≤ 20000.

Search the periodic table by name or symbol substring. Exact matches rank first, then prefix matches, then substring matches. Returns up to `limit` elements (default 20) plus the total match count.

Determine the astronomical season for a date, based on the Sun's apparent ecliptic longitude (0°=March equinox, 90°=June solstice, …). Defaults to the northern hemisphere; pass `hemisphere` to flip.

Compute the Moon's phase name, age in days since the last new moon and illuminated fraction (0..1) for a UTC date/time. Uses the mean synodic month (29.53 days).

Generate an RFC 6238 time-based one-time password from a base32 secret. Uses the current time by default, or an explicit unix timestamp (seconds); configurable period (default 30s), digits (default 6) and algorithm (default SHA1). Also returns the counter and seconds remaining in the window.

Evaluate one or more percentiles (0–100) of a numeric sample using linear interpolation between order statistics (the R-7 / Excel PERCENTILE.INC method). 50 is the median, 25/75 the quartiles.

Multifamily development underwriting — construction to hold to exit. Models construction draws (S-curve or straight-line), capitalized interest, lease-up ramp, construction-to-perm refi, and hold period returns. Returns development yield on cost, spread to cap rate, profit on cost, IRR and MOIC.

Deep structured analysis of one project by slug: what it is, entry, signature needs, risks, verdict.

Return the synonyms of an English word, aggregated across all its senses. Optionally filter by part of speech. An unknown word returns found:false with a 200.

Compute a cryptographic digest (SHA-2, SHA-3, BLAKE2, and legacy SHA-1/MD5/RIPEMD-160) of some data. The input may be utf8/hex/base64/base64url and the digest is returned as hex/base64/base64url.