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

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988 Index

differentiation(Continued)

fluid flow intotank376--7

graphical approach to 357--8

implicit 394--7

limitsand continuity 358--61

linearmodel forsimple fluid system 380--3

aslinearoperator 375--83

linearity430

logarithmic 397--8

parametric 393--4

rate ofchange

atgeneral point 364--9

atspecific point 362--4

techniquesseedifferentiation techniques

voltage across an inductor 368

differentiationapplications 406--27

inflexion, pointsof415--18

maximum pointsandminimum pointssee

maximum/minimum points

maximum power transfer413--14

Newton-Raphson method 406, 418--23

risetime forsecond-order electrical system411--13

seriesdiode-resistor circuit421--3

vectors 423--6

differentiationtechniques 386--405

chain rule389--91, 395

damped sinusoidalsignal 387--8

higherderivatives 400--4

logarithmic differentiation397--8

parametric differentiation 393--4

product rule 386--8,397--8

quotient rule388--9,401

differentiator691

digital computers 615

digital controller 694

digital electronic circuits 175

digital filtering692

digital signal processing200, 692

diode equation 83--4

Dirac delta function 480

directcurrent electrical network 510

directtransmissionmatrix 612

Dirichlet conditions 735, 740

discontinuous function64--5, 361

discrete,usage ofterm 175

discrete convolution and correlation 801--20

circular (periodic) convolution 803--7

circular convolution theorem 807--12

circular correlation theorem 816--20

circular cross-correlation815--16,818--20

convolution reverb 810--12

linearconvolution 801--3,809--11

linearcross-correlation812--15

radar,use ofcorrelation in 817--20

discrete cosine transform795--801

definition andits inverse 795--801

truncation ofset ofsamples 798--9

two-dimensional andimage compression799--801

discrete Fourier transform783--7,979, 981

definition 784--6

derivation 787--90

to estimateFourier transform790--1

inverse 786--7

matrixrepresentation 792--3

properties793--5

linearity793

Parseval’s theorem 794

periodicity 793

Rayleigh’s theorem 794

discrete independent variable 202

discrete mathematicsseeBoolean algebra; settheory

discrete random variable 953, 957

expected value 943--4

standard deviation 946--7

discrete spectra766

discrete-time:

controllerdesign693--5

data 688

filter689--90, 696

interval702

discrete variable 962

disjointsets 178

disjunction connective 183

disjunctive normal form188

displacement:

current369

vector226, 227, 423

dissipation, power, in resistor3--4

functionto model 59

distance travelled by aparticle 434

distance travelled by rocket498

distributive laws179, 186, 189, 191

divergence theorem 893, 895

divergent sequence 205

diverging integral 486--7

division:

algebraic fractions 29--30

complex numbers330

indices4--5

in polar form 335

domain (sets)180--1

domain, function 58

doping 83

dot product 241

double integrals 880--5,886--7,891, 895

double the input rule56--7, 61

dual modular redundancy 906

dummy variable, and integration 451

duty cycle 743--4

dynamic resistance, ofsemiconductor diode 378--9

dynamic systems535

echelon form 290--1

eddy current losses827

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