Finance

Bootstrap the discount-factor and spot curve from treasury quotes, fit Nelson-Siegel or Svensson parametrically, and chart spot plus instantaneous forward curves with basis-point residuals.

Math & Numbers

2-set and 3-set inclusion-exclusion solver: every disjoint region, the union, and the outside count, with consistency checks.

Data Analysis

Class-stratified train/validation/test split or stratified k-fold for CSV/JSON datasets — seeded, reproducible, with distribution reports, leakage checks, SMOTE preview and CSV export.

Education

GFP reporter transfection scoring: efficiency = GFP+ / total × 100 with a Wilson 95% CI in single mode and per-replicate mean ± SD in replicate mode. Interpretation bands from excellent (≥70%) to low (<10%) with optimization hints. Wilson 1927 / Newcombe 1998 / Kim & Eberwine 2010 derived. Educational use only.

Health

Compute lung-protective VT from ARDSNet predicted body weight (PBW). Male 50+0.91×(cm−152.4); female 45.5+0.91×(cm−152.4). VT = mL/kg×PBW (4–8, default 6). Reports full range and plateau-pressure target. Derived from ARDSNet NEJM 2000, Brower 2004, StatPearls, LITFL. Not medical advice.

Health

Interpret the thyroid axis by pattern-reading TSH with FT4 and (optionally) FT3. Adult reference ranges: TSH 0.4–4.0 mIU/L, FT4 0.8–1.8 ng/dL (≈10–23 pmol/L), FT3 2.3–4.2 pg/mL (≈3.5–6.5 pmol/L). High TSH + low FT4 → overt primary hypothyroidism; high TSH + normal FT4 → subclinical hypothyroidism; low TSH + high FT4/FT3 → overt primary hyperthyroidism; low TSH + normal FT4 → subclinical hyperthyroidism, exogenous hormone, or resolving thyroiditis (check FT3 for T3 toxicosis); low/normal TSH + low FT4 → central hypothyroidism; high TSH + high FT4 → TSH-secreting adenoma or thyroid hormone resistance. Low FT3 with normal TSH/FT4 indicates low-T3 (non-thyroidal illness) syndrome. Units selectable for TSH, FT4, FT3. Derived from ATA 2014/2016, NACB 2002, Garber 2012, and MDCalc. Not medical advice.

Health

Calculate glucose/amino-acid/lipid delivery (grams and kcal), total and non-protein calories, the non-protein kcal:g nitrogen ratio and per-kg values from a parenteral nutrition prescription. Energy densities: dextrose 3.4 kcal/g, AA 4.0 kcal/g, lipid 20% ≈ 2.0 kcal/mL. Targets (ASPEN/ESPEN): 20–30 kcal/kg/day, protein 1.0–1.5 g/kg/day. This is a prescription-analysis aid, not a compounding recipe. Derived from ASPEN 2016, ESPEN 2019, McClave 2016, Mirtallo 2004. Not medical advice.

Health

Estimate the osmolality (mOsm/L) of a parenteral nutrition admixture to help choose peripheral vs central access. Sum-of-solute formula: Osm ≈ Dextrose(g/L)×5 + AA(g/L)×10 + Electrolytes. Thresholds: ≤ 900 peripheral; 900–1200 caution; > 1200 central. Lab-measured value is the gold standard. Derived from Mirtallo 2004, Pittiruti 2009, Dugan 2014. Not medical advice.

Health

Calculate Transferrin Saturation (TSAT) = Serum Iron / TIBC × 100% (matching units, µg/dL or µmol/L). Reference range ≈ 20–50% in men and 15–50% in women. TSAT < 20% (or < 15% in premenopausal women) indicates iron deficiency (iron-deficiency anemia from chronic blood loss, inadequate intake, malabsorption), and is highly specific when ferritin is also low. TSAT > 50% (> 45% premenopausal) indicates iron overload or ineffective erythropoiesis: hereditary hemochromatosis, thalassemia major, sideroblastic anemia, repeated transfusions, or excessive iron therapy. Note serum iron has diurnal variation (morning high, evening low) and is shifted by recent iron ingestion, infection/inflammation, and hepatic disease — interpret with ferritin and CRP. Derived from Camaschella Blood 2019, Guyatt 1992, and MDCalc. Not medical advice.

Text Processing

Line/word/char diff with ignore rules, three-way merge with conflict markers, and unified patch

Math & Numbers

Convert torque (moment of force) between N·m (SI base), lbf·ft (pound-foot), kgf·m (kilogram-force-metre), and lbf·in (pound-inch). Factors based on standard gravity g₀ = 9.80665 m/s² and 1 lbf = 4.4482216152605 N. Converts via N·m to the target unit and also lists the equivalent value in all four units for reference. Used for mechanical specs, automotive, and fastener tightening torque.

Math & Numbers

Compute the required outdoor / supply ventilation rate. ASHRAE 62.1 ventilation-rate procedure: people component Vpz = Rp·P, area component Vaz = Ra·A, breathing-zone outdoor air Vbz = Vpz + Vaz, zone supply airflow Voz = Vbz / Ez. Three modes: ASHRAE 62.1 (people + area), per-person rate (P × Rp), or contaminant dilution (Q = G / (C_acc − C_sup), where G can be mg/s, mg/h, or L/s of gas and concentrations mg/m³ or ppm). Results reported in L/s, m³/h, and CFM.