Page 887 - Advanced_Engineering_Mathematics o'neil
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Index
A Auxiliary lsv (least squares vector)
Acceleration a(t), 350 systems, 233–236
Adjacency matrix, 195–196 Availability function f (t),99
Alternating current and skin effect,
Bessel function application, B
546–548 Backward wave, 596–598
Ampère’s law, 411 Band–limited signal, 485
Amplitude spectrum, 456, 460, 474–475 Bandpass filters, 488–489
Fourier series, 456, 460 Bandwidth, defined, 485
Fourier transforms, 474–475 Basis, vector space, 172–173
Analytic functions, 121–122 Beat phenomena, 69–70
Angles preserved by mapping, 754–755 Bernoulli equation, 27–28
Annulus, 725 Bessel functions, 114–117, 533–560,
Anomaly ψ, planetary angles, 559 799
alternating current and skin effect,
Antiderivative, existence of, 721–722
application of, 546–548
Approximation solutions, 134–144
asymptotic expansion, 545
direction fields, 137–139
critical length of a rod, application of,
Euler’s methods, 139–141, 143–144
542–543
Taylor method, 142–144
displacement of a hanging chain,
Arc length, line integrals and, 372–373
application of, 540–542
Archimedes’s principle, 404–405
eigenfunction expansions and,
Area, surface integrals of, 395
533–560
Argument, complex numbers, 672–673 equation of order n, 114–117
Arithmetic of complex numbers, equation of order zero, 116
669–670 Euler constant γ , 538
Associated homogeneous differential first kind of order v, 534–537
equation, 48 Fourier-Bessel expansions, 552–556
Asymptotic expansion, 545 gamma function (x), 533–534
Augmented matrix, 206–207, 221–226 generating function for, 548–549
defined, 206 integrals, 556–560
nonhomogeneous system solutions Kepler’s problem, application of,
using, 221–226 556–560
reducing, 206–207 Laplace transforms and, 114–117
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