| Step | Quantity | Value |
|---|
This is the Magnus form with constants 17.27 and 237.7 °C. It is an empirical fit to saturation curves, not a derivation from thermodynamics, so it is an approximation: good to about ±0.4 °C over 0–50 °C and 10–100% RH, and it degrades below 0 °C (supercooled vapour, frost) and above 50 °C. Near 0% RH it diverges. For a psychrometric calculation at low temperature use a reference such as Sonntag or a full equation of state instead.

Runtime from Ah or mAh capacity, load current and efficiency, with usable energy in Wh, a series and parallel pack ladder, and a Peukert discharge derate that only ever shortens the run. Shows the naive no-derate answer next to the derated one.

Conduction, convection and Stefan-Boltzmann radiation in series and in parallel, solving for Q, thickness, k, h, emissivity or area. The series case iterates the radiation term at the unknown surface temperature instead of summing a resistance that is not constant, and air at 0.026 W/(m K) is in the table.

Pipe flow from ID and velocity, or solved from a pressure drop and length with an iterated Colebrook-White friction factor alongside the explicit Swamee-Jain and Haaland approximations and the gap between them. Separates laminar, transition and turbulent regimes and says where the equations stop being reliable.

Independent, paired and one-sample t-tests from real summary statistics: the t statistic, degrees of freedom, p-value and a verdict at alpha 0.05.

Prefix each line with a configurable number, padding and separator.

Convert letters to regional flags, bold, monospace or squared emoji.

Corrupt text with combining diacritical marks at adjustable intensity.

Translate text to Morse and back with audio playback.