Geography

Render a GeoJSON FeatureCollection as a self-contained, tile-free static SVG map: OSM Carto-style water/greens/buildings and class-coloured roads, amenity/shop/tourism-classified POI pin icons with halo labels, highlighted route LineStrings with geodesic bearing arrows, scale bar, lat/lon graticule and the embedded OpenStreetMap attribution (ODbL). Optional Nominatim geocoding (max 5 queries, policy-compliant pacing and User-Agent) adds place markers.

Document Tools

Detect and reconstruct embedded math formulas from vector PDFs: math-font recognition (CMMI/CMSY/CMEX, STIX, Cambria Math), Unicode math, super/subscripts and stacked fractions, AMS equation numbers ((2a)/(2b) subequations) preserved; outputs copyable LaTeX, presentation MathML (MathJax/KaTeX-compatible) and a downloadable .tex bundle.

Network

Decode a PCIe link training log (LTSSM state sequence plus TS1/TS2 ordered sets) into the full Gen1-Gen6 state timeline: negotiated speed and width, rate identifier bits, lane reversal, polarity inversion, equalization phases and Detect/Recovery restart diagnostics. Also grades a lane margining report (pcilmr CSV or key=value) against the PCIe Base Spec Rev 5.0 §8.4.2 eye minimums per generation and renders a per-lane eye-margin heatmap SVG.

Data Analysis

Decode a Parquet thrift footer and quantify predicate-pushdown pruning: zone-map min/max, split-block bloom filters (XXH64), dictionary ratios and encodings, with per-row-group prune-savings estimates for example WHERE clauses.

Media

Convert subtitles between WebVTT, TTML (with SMPTE frame timing and styles), YouTube SBV and SRT — frame-precision time axes (23.976/24/25/29.97 drop-frame/30/50/59.94 DF/60), TTML tts styles bridged to WebVTT ::cue CSS, cue-id uniqueness, and IMSC 1.0.1 compatibility checks.

Network

Audit a domain end to end: IANA RDAP bootstrap referral, registry/registrar WHOIS data, and the DNSSEC chain of trust from the root KSK through the TLD DS to the apex DNSKEY — with DS digest verification and RRSIG expiry flags.

Science & Education

π = i·M·R·T with van't Hoff factor, multi-unit readout and a molar-mass inversion mode.

Development

Test PCRE2 patterns online: every named-group syntax ((?P<n>), (?<n>), (\u0027n\u0027)), possessive quantifiers, atomic groups, \A \z \h shorthands, plus pcre2grep and C API snippets.

Science & Education

p_i = x_i·p_i* for ideal solutions, with total pressure and vapour-phase composition for binary mixtures.

Science & Education

Initial-rate method: single-reactant log-log fit or two-reactant method of pairs, with k back-calculated per experiment.

Science & Education

k(T) from a reference point and Ea via the Arrhenius ratio, with kJ/kcal/J activation energy conversion built in.

Science & Education

Optical path difference Δ = n·d and phase δ = 2π·Δ/λ₀, classifying interference as constructive, destructive, or intermediate, with an optional round-trip mode for thin films.