Notation Ledger

Notation Ledger

The notation ledger prevents a quiet failure mode: translating Steinmetz into modern symbols so quickly that the older notation, assumptions, and physical language disappear. Each row remains a review target until the original typography, source context, and units are checked.

Boundary: this ledger maps notation for review. It does not certify an equation as scan-verified.

Equation Records

Equation	Title	Symbols Tracked	Status	Verification
rli-velocity-frequency-wavelength	Velocity, Frequency, and Wave Length	f, S, lambda, v	source-located candidate	needs scan verification
ac-symbolic-rectangular-form	Rectangular Complex Quantity	I, i, i', j	source-located candidate	needs scan verification
ac-symbolic-operator-j	The Operator j	j	source-located candidate	needs scan verification
ac-inductive-reactance	Inductive Reactance	f, x, L, pi, omega	source-located candidate; OCR symbol defects present	needs scan verification
ac-condensive-reactance	Condensive Reactance	f, x, C, pi, omega	source-located candidate; OCR symbol defects present	needs scan verification
ac-impedance-complex-form	Complex Impedance	j, x, Z, r, R	source-located candidate	needs scan verification
ac-symbolic-ohms-law	Symbolic Ohm’s Law	I, Z, V	source-located candidate	needs scan verification
ac-admittance-reciprocal	Admittance As Reciprocal Impedance	Z, Y, g	source-located candidate	needs scan verification
ac-admittance-components	Conductance and Susceptance From Impedance	x, Z, r, Y, g, b, R, X, G, B	mathematical reconstruction from source relation	needs scan verification
ac-power-factor-equation	AC Power Equation	I, i, P_o, P, e, V, theta, phi, cos	source-located candidate	needs scan verification
ac-effective-resistance-power	Effective Resistance From Real Power	I, i, r, P, R_eff	source-located candidate	needs scan verification
ac-dielectric-capacity-susceptance	Capacity Susceptance	f, C, b, pi, omega, B_C	source-located candidate	needs scan verification

Symbol Index

Symbol	Review Meaning	Equation Records
b	Susceptance component of admittance.	ac-admittance-components, ac-dielectric-capacity-susceptance
B	Modern susceptance symbol.	ac-admittance-components
B_C	Modern capacity susceptance notation used in the archive translation.	ac-dielectric-capacity-susceptance
C	Capacity or capacitance. Preserve Steinmetz’s capacity language before modernizing it.	ac-condensive-reactance, ac-dielectric-capacity-susceptance
cos	Cosine function used in power-factor relations.	ac-power-factor-equation
e	Electromotive force or voltage in older notation; verify whether RMS or instantaneous value is meant.	ac-power-factor-equation
f	Frequency. Check whether Steinmetz is using cycles per second or angular frequency in the surrounding text.	rli-velocity-frequency-wavelength, ac-inductive-reactance, ac-condensive-reactance, ac-dielectric-capacity-susceptance
g	Conductance component of admittance.	ac-admittance-reciprocal, ac-admittance-components
G	Modern conductance symbol.	ac-admittance-components
I	Alternating current quantity or complex current, depending on chapter context.	ac-symbolic-rectangular-form, ac-symbolic-ohms-law, ac-power-factor-equation, ac-effective-resistance-power
i	Current component or instantaneous/current magnitude in Steinmetz-era notation. Needs local context.	ac-symbolic-rectangular-form, ac-power-factor-equation, ac-effective-resistance-power
i'	Quadrature current component in the symbolic-method passage.	ac-symbolic-rectangular-form
j	Imaginary operator used by Steinmetz as a quarter-period or 90-degree rotation.	ac-symbolic-rectangular-form, ac-symbolic-operator-j, ac-impedance-complex-form
L	Inductance.	ac-inductive-reactance
lambda	Wave length in the source relation; modern notation usually uses lambda.	rli-velocity-frequency-wavelength
omega	Modern angular frequency notation used in archive translations.	ac-inductive-reactance, ac-condensive-reactance, ac-dielectric-capacity-susceptance
P	Power.	ac-power-factor-equation, ac-effective-resistance-power
P_o	Real or output power notation in the source record; verify typography against scan.	ac-power-factor-equation
phi	Modern phase-angle notation.	ac-power-factor-equation
pi	Circle constant in frequency/reactance relations; verify whether source writes pi as a symbol or text.	ac-inductive-reactance, ac-condensive-reactance, ac-dielectric-capacity-susceptance
r	Resistance or effective resistance in Steinmetz notation, depending on source context.	ac-impedance-complex-form, ac-admittance-components, ac-effective-resistance-power
R	Modern resistance symbol.	ac-impedance-complex-form, ac-admittance-components
R_eff	Modern effective-resistance notation used in the archive translation.	ac-effective-resistance-power
S	Velocity of propagation in Steinmetz’s radiation notation.	rli-velocity-frequency-wavelength
theta	Phase angle in source notation.	ac-power-factor-equation
v	Modern velocity symbol used when translating Steinmetz’s S.	rli-velocity-frequency-wavelength
V	Modern voltage symbol.	ac-symbolic-ohms-law, ac-power-factor-equation
x	Reactance in Steinmetz AC notation.	ac-inductive-reactance, ac-condensive-reactance, ac-impedance-complex-form, ac-admittance-components
X	Modern reactance symbol.	ac-admittance-components
Y	Admittance.	ac-admittance-reciprocal, ac-admittance-components
Z	Impedance as a complex AC quantity.	ac-impedance-complex-form, ac-symbolic-ohms-law, ac-admittance-reciprocal, ac-admittance-components

Reviewer Rule

Preserve Steinmetz’s original notation first. Add modern notation second. If a symbol changes meaning across sources or editions, record the difference instead of smoothing it away.