Format Conversion

Fetch a live web page by URL and convert it to clean Markdown — headings, links, lists, code and optionally images and tables — with reader-mode junk stripping.

Math & Numbers

(n−1)! ≡ −1 (mod n) ⟺ n is prime. Exact factorial residue for n ≤ 10⁷, Miller–Rabin cross-check, composite factorial law, optional running-products trace.

Development

Decode raw WebSocket frames (hex or base64) byte by byte per RFC 6455: FIN/RSV/opcode, MASK bit, extended lengths, masking key, unmasked payload, close codes, and protocol-violation warnings.

Health

Calculate the infusion pump rate in mL/hr = Total volume / Infusion time. Time may be hours+minutes or minutes; also reports mL/min and the decimal duration. Verify pump units match the order, confirm line patency, and sum channels for restricted patients. Derived from Macklin 2011, NICE CK174 2017, Phillips 2007, and ISMP. Not medical advice.

Health

Calculate the gravity (manual) IV drip rate in drops per minute: gtt/min = Volume × Drop factor / Time. Drop factor selectable (macro 10/15/20 or micro 60 gtt/mL). Time may be hours+minutes or minutes; rounded to whole drops with drift warning. Vasoactive/cardiotonic drugs and pediatric infusions must ALWAYS use a pump. Derived from Philips 2007, Macklin 2011, MDCalc, and ISMP. Not medical advice.

Health

Calculate the Wells score to estimate clinical probability of deep vein thrombosis (DVT). Components: active cancer (+1), paralysis/paresis/recent plaster immobilization (+1), recently bedridden ≥3 days or major surgery ≤12 weeks (+1), localized tenderness along deep veins (+1), entire leg swollen (+1), calf swelling ≥3 cm vs other leg (+1), pitting edema confined to symptomatic leg (+1), collateral superficial (nonvaricose) veins (+1), previously documented DVT (+1), alternative diagnosis at least as likely as DVT (−2). Reports BOTH interpretations: three-tier (low ≤0 ~5%, moderate 1–2 ~17%, high ≥3 ~17–53%) and dichotomized two-tier (DVT unlikely ≤1 — a negative D-dimer rules out; DVT likely ≥2 — ultrasound/D-dimer). Derived from Wells 1997 (Lancet) and the Goodacre 2005 (BMJ) meta-analysis. Not medical advice.

Health

Calculate the Wells score to estimate clinical probability of pulmonary embolism (PE). Components: clinical signs/symptoms of DVT (+3), PE is the most likely diagnosis (+3), heart rate >100 (+1.5), immobilization ≥3 days or surgery in last 4 weeks (+1.5), previous objectively diagnosed DVT/PE (+1.5), hemoptysis (+1), active malignancy (+1). Reports BOTH endorsed interpretations: three-tier (low <2 ~1.3%, moderate 2–6 ~16.2%, high >6 ~37.5%) and dichotomized two-tier (PE unlikely ≤4 ~12.1% — a negative D-dimer can rule out; PE likely >4 ~37.5% — imaging required). Derived from Wells 2001 (Ann Intern Med), ACEP 2018 clinical policy, and the ESC 2019 PE guideline. Pair with PERC and D-dimer. Not medical advice.

Format Conversion

Convert pasted WireGuard or OpenVPN client text into Mihomo/Clash YAML or sing-box JSON with secret-field diagnostics; do not share private keys

Text Processing

Turn English words into teaching-oriented US/UK IPA, color-coded phonemes, articulation cues, and minimal-pair drills.

Math & Numbers

Compute the discharge over a sharp-crested thin-plate weir. Rectangular (suppressed, no side contraction): Q = (2/3)·C_d·√(2g)·b·H^1.5. V-notch (triangular): Q = (8/15)·C_d·√(2g)·tan(θ/2)·H^2.5. b is the crest width, H the head over the crest (or over the vertex for a V-notch), θ the notch angle. If C_d is left blank it defaults to 0.611 for rectangular weirs (Rehbock/Francis typical value) and 0.58 for V-notch weirs. Crest width in m/cm, head in m/cm/mm; output in m³/s, L/s, L/min and m³/h.

Math & Numbers

Calculate the force-amplification ratio and self-locking condition of a wedge mechanism. Ideal M = 1/tan(α), with friction M = 1/tan(α+ρ) where ρ = arctan(μ). Self-locking when α ≤ ρ (i.e. tan(α) ≤ μ).

Utilities

Estimate how many buckets of interior paint you need from room dimensions, doors/windows, coats, paint coverage, and bucket size — rounded up to whole buckets, with optional primer and waste factor.