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082-Engineering-Mathematics-Anthony-Croft-Robert-Davison-Martin-Hargreaves-James-Flint-Edisi-5-2017

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994 Index

Laplace transform(Continued)

rule2: eliminating negative feedback loop 662--8

transferfunctions 659--68, 752

transport lag 664--6, 664--5

voltage across acapacitor 636

andztransform, relationshipbetween 704--9

LCRcircuit560--1

leakage, current 576--7

left-handlimits360

lifespan, electrical components 911

limitsequence 205

limit5sequence 206

limits463

differentiation 358--61

ofintegrals 443, 446, 486

integration 491

left-hand360

right-hand360

line integrals and multiple integrals 867--902

conservative fields875--80

line integralaround closedloop 877--9

potential function 875--7

divergence theorem 895

double integrals 880--5,886--7, 891

electric charge enclosed in a region 890

electric current density 892

electric field, work done by869

electric fluxand Gauss’slaw 893

evaluation ofline integrals in three dimensions

873--5

evaluation ofline integrals in two dimensions 871--3

fluid flow acrossasurface 890

gravitational field, work done by868--9

Green’s theorem 886--7

line integrals 867--71

massofasolid object 889

Maxwell’s equations in integral form 899--900

simple volume and surface integrals 889--95

Stokes’theorem 896--9

three-dimensional line integrals 873--5

triple integrals 885--6, 889

two-dimensional line integrals 871--3

line spectra 766

linearcircuit, Bode plotof96--7

linearcombination 237

ofsinusoids723

linearconstant coefficient:

differentialequations 627, 649--59

linearconvolution 801--3,809--11

linearcross-correlation812--15

linearequations 163, 164, 220, 536--7, 683, 685

linearfactors 39--41

equating coefficients 40--1

evaluation usingspecific value ofx40

Laplace transform651, 668

repeated 39, 41--2

linearhomogeneous equations 294--7

linear modelsforsimple fluidsystem 380--3

linear operator:

differentiationas375--83

integrationas432--4

Laplace transform638

linear polynomial 71

linear scale94

linear system:

frequency response 751--5

Taylor polynomials 511

linear time-invariant system 560--1

linearity:

differentialequations 536--7

ofdifferentiation 430

discrete Fourier transform793

first-orderTaylor polynomial 509--13

Fourier transform761--2

integration438

Laplace transform631--2

ztransformanddifference equations 710, 718--19

linearly dependent vectors 238

linearly independent functions558

linearly independent vectors 238

linesofforce 240

linking processcontrolcomputers 948--9

load:

line 422

resistor476--7,655

voltage waveform 473--4

log-linear graph92

log-linear scales 92--4

log-log graph94--6

log-log plot92--3

log-log scales 92--4

log scale92

logarithm functions85--100, 187--93

attenuation in a step-index optical fibre89--90

decibelsin radio frequency engineering 88--9

delta function 111--12

exponential functionsand 91--2

logarithms85--7

modulusfunction104--8

ramp function 108

reference levelsseereference levels

signal ratiosand decibels 87--8

unitimpulsefunction 111--12

unitstepfunction108--10

logarithmic differentiation 397--8

logarithmic frequency scale 672

logarithmic scale 94

logarithms85--7

laws86,398, 433, 672

natural 85, 89

logical equivalence:

AND gate184, 187, 188

binaryfull-adder circuit design190--2

connective 183

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