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The dates within brackett are the dates of first publication
Physical Problems lead to Improved Mathematical Methods
Perrys Modification Remarkable Result
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algebraical algebrisation applied attenuation becomes Bessel functions binomial theorem cable circuit coefficients coil complete condenser conductance conjugate property connection constant convergent convergent series curve definite integral denominator determinantal equation differentiation diffusion divergent series earth effect electric electrification electromagnetic electromagnetic waves energy equivalent example expansion theorem expression finite formula Fourier series generalised given impressed force impressed voltage inductance infinite infinite series infinity involving J. J. Thomson left side longitudinal waves mathematics matter means multiply negative normal functions normal systems numerical obtain operand operational solution origin permittance physical plane waves positive potential practical problem reduces reflected wave reflection coefficient regards represent resistance operator result right side roots Similarly simply periodic steady subsidence Taylor's theorem terminal arrangements terminal conditions terminal resistance theory tion vanish wave front wave-surface whilst wire zero