Reflectance and transmittance of a coated or soap film at normal incidence, from the Fresnel amplitude coefficients, plus the film thickness that puts the interference at a minimum (an antireflection coating) or a maximum. Four bands and five thicknesses, every one computed, not fitted.
| Quantity | Value | Where it comes from |
|---|
| t (nm) | R (%) | T (%) |
|---|
Archimedes for any object in any fluid: buoyant force, apparent weight and a float or sink verdict from the densities.
Henderson-Hasselbalch against the useful pKa +- 1 band, and the exact charge-balance pH for a real recipe.
Euler-Bernoulli tip deflection and bending stress for a rectangular section, with a factor of safety.
Layer-by-layer wall transmittance, the linear thermal bridge value and whether the internal surface will condense.
Convert between a calendar date and its day-of-year ordinal, ISO week number and week date, in both directions.
Pull every fenced code block out of Markdown into separate downloadable files, with the language and line numbers preserved.
Shuffle, unscramble or anagram any text: seeded reproducible shuffles, a solve button, and a check of which words are real English.
A single-column print-ready resume that renders as you type, with skill proficiency bars, bullet achievements and a copy-as-text version.
