First Canonical Equation Set
The archive needs a mathematical spine: not every OCR equation, but the first set of equations that deserve careful public explanation. This page names that first set.
The word canonical here means chosen for deep treatment, not yet scan-final. Every record remains marked until its source scan, exact typography, and page location are checked.
The Twelve
Section titled “The Twelve”| No. | Equation | Steinmetz Context | Public Page |
|---|---|---|---|
| 1 | S = f lambda | Radiation scale, light, electric waves. | Velocity and wavelength |
| 2 | I = i + ji’ | Symbolic sine-wave components. | Symbolic components |
| 3 | j^2 = -1 | Quarter-period operator. | Operator j |
| 4 | x = 2 pi f L | Inductive reactance. | Reactance forms |
| 5 | x_1 = 1/(2 pi f C) | Condensive reactance. | Reactance forms |
| 6 | Z = r + jx | Complex impedance. | Impedance and reactance |
| 7 | E = ZI | Symbolic Ohm’s law. | Impedance and reactance |
| 8 | Y = 1/Z = g - jb | Admittance. | Admittance |
| 9 | g = r/(r^2+x^2), b = x/(r^2+x^2) | Conductance and susceptance. | Admittance |
| 10 | P = EI cos theta | AC power equation. | Power and effective resistance |
| 11 | P = I^2 r_eff | Effective resistance. | Power and effective resistance |
| 12 | b = 2 pi f C | Capacity susceptance. | Capacity susceptance |
Why This Set Comes First
Section titled “Why This Set Comes First”These equations create the bridge from Steinmetz’s visible radiation lectures into his AC symbolic method and then into dielectric and transient field language. They are also the equations most likely to help modern readers read his older terminology without flattening it into textbook shorthand.
Quality Boundary
The canon set is an editorial and research priority list. It is not a claim that every printed formula has already been scan-verified. The JSON record at processed/canonical_equations.json carries the current status for each equation.