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Авторизация |
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Поиск по указателям |
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Fox H., Bolton W. — Mathematics for Engineers and Technologists |
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Предметный указатель |
Accuracy 300
Alternating Current x
Angular frequency 23
Approximations, making 243
Argand diagram 69
Argument 2
Attributes 298
Beam, deflection ix 87 115 131 140
Boolean algebra 275
Boolean algebra, complementary law 276
Boolean algebra, De Morgan laws 277
Boolean algebra, product of sums 282
Boolean algebra, sum of products 282
Building, wind deflection 86
Cables, suspended 56
Capacitor, charging 41 43
Capacitor, discharging 41 43
Capacitor, time constant 42
Car suspension system 88
Centre of gravity 137
Centroid 137
Circular functions 22
Circular functions, 34
Circular functions, cosine 24
Circular functions, inverse 37
Circular functions, manipulating 31
Circular functions, sine 24
Circular functions, sums of angles 32
Circular functions, tangent 24
Combinations 296
complex numbers 69
Complex numbers, addition 71
Complex numbers, argand diagram 69
Complex numbers, argument 70
Complex numbers, conjugate 69 73
Complex numbers, division 74
Complex numbers, manipulation 71
Complex numbers, modulus 70
Complex numbers, multiplication 72
Complex numbers, polar coordinates 70
Complex numbers, subtraction 71
Conjugate pair 69 73
Cyclic functions 26
D-operator 175
Damping factor 44 184 224
Decibel 49
Differential equation 159
Differential equation, boundary conditions 162
Differential equation, first-order 160 165 220
Differential equation, first-order, and step input 169
Differential equation, general solution 162
Differential equation, initial conditions 162
Differential equation, ordinary 159
Differential equation, particular solution 162
Differential equation, second-order 160 178 222
Differential equation, second-order, auxiliary equation 180
Differential equation, second-order, characteristic equation 180
Differential equation, second-order, complementary function 187
Differential equation, second-order, homogeneous 179
Differential equation, second-order, non-homogeneous 187
Differential equation, second-order, particular integral 187 190
Differential equation, separation of variables 165
Differential equation, solving 162
Differential equation, solving, by Laplace transform 213
Differentiation 99
Differentiation of a constant 102
Differentiation of a power 103
Differentiation of an exponential 106
Differentiation of trigonometric function 103
Differentiation, Chain rule 112
Differentiation, D-operator 175
Differentiation, function of a function rule 112
Differentiation, inverse functions 122
Differentiation, log functions 122
Differentiation, order 114
Differentiation, product rule 109
Differentiation, quotient rule 110
Differentiation, rules 108
Differentiation, sum rule 108
Distributions 300
Distributions, binomial 308
Distributions, expected value 302
Distributions, frequency 300
Distributions, Gaussian 311
Distributions, mean 302
Distributions, Normal 311
Distributions, Poisson 309
Distributions, probability 300
Distributions, probability density function 301
Distributions, standard deviation 303
Distributions, standard error 306
Distributions, true value 300
Equations 5
Euler's equation 182
Experimental errors 316
Experimental errors, combining 317
Experimental errors, random 316
Experimental errors, reading 316
Experimental errors, statistical 317
Experimental errors, systematic 316
Exponential functions 39
Exponential functions, e 40
Exponential functions, manipulating 44
Factors 12
feedback control systems 219
Fourier series 248
Fourier series, coefficients 250
Fourier series, even symmetry 257
Fourier series, frequency spectrum 262
Fourier series, half-wave symmetry 259
Fourier series, odd symmetry 256
Fourier series, rectangular waveform 252
Fourier series, rectified sinusoid 254
Fourier series, sawtooth waveform 253
Fourier series, shift of origin 256
frequency 23
Functions 1
Functions, circular 22
Functions, combinations 6
Functions, cyclic 26
functions, defined 1
Functions, exponential 39
Functions, hyperbolic 54
Functions, inverse 19 37
Functions, linear 8
functions, Log 47
Functions, quadratic 11
Gradient of graph 8 100
Graphs, cyclic functions 26
Graphs, hyperbolic functions 55
Graphs, linear 8 95
Graphs, log 50
histogram 299
Hyperbolic functions 54
Hyperbolic functions, Cosh 54
Hyperbolic functions, graphs 55
Hyperbolic functions, Sinh 54
Hyperbolic functions, Tanh 54
Imaginary number 69
Impedance 79
Inductance and a.c. 105
Inflexion, point of 117
Integral, definite 133 145
Integral, indefinite 127 133
Integration 126
Integration by partial fractions 147
Integration by parts 145
Integration by substitution 141
Integration by trig. substitution 143
Integration of a sum 129
| Integration, area under graph 132
Integration, common functions 127
Integration, constant of integration 129
Integration, particular solution 129
Integration, reverse of differentiation 126
Inverse functions 19 122
Karnaugh map 285
Kirchhoff's laws 78 229
Ladder programming 274
Laplace transform 198
Laplace Transform, Derivatives 205
Laplace transform, differential equations 213
Laplace transform, electrical circuits 228
Laplace transform, final value theorem 211
Laplace transform, first shift theorem 203
Laplace transform, first-order systems 220
Laplace transform, impulse function 200 221
Laplace transform, initial value theorem 210
Laplace transform, integrals 207
Laplace transform, inverse 207
Laplace transform, inverse, additive property 208
Laplace transform, inverse, first shift theorem 208
Laplace transform, inverse, second shift theorem 208
Laplace transform, periodic functions 205
Laplace transform, properties 201
Laplace transform, s-domain 198
Laplace transform, second-shift theorem 204
Laplace transform, standard 200
Laplace transform, step function 200
Laplace transform, sum of functions 201
Laplace transform, table 201
Laplace transform, time domain 198
Laplace transform, transfer function 217
Limits 100
Linear relationships 8
log functions 47
Log functions, changing bases 48
Log functions, natural 48
Logic gates 270
Logic gates, AND 271 272
Logic gates, Boolean algebra 275
Logic gates, combining 281
Logic gates, De Morgan laws 277
Logic gates, EXCLUSIVE OR 273
Logic gates, logic level 272
Logic gates, NAND 273
Logic gates, negative logic 272
Logic gates, NOR 272
Logic gates, NOT 271 273
Logic gates, OR 271 272
Logic gates, positive logic 272
Logic gates, symbols 272
Logic gates, truth table 271
Logic gates, XOR 273
Maxima 116
Mean 152 300
Measurement xi
Minima 116
Model, mathematical xi 85
Model, mathematical, electrical systems 90 159 172 174 217 221 228
Model, mathematical, hydraulic systems 93 162 175
Model, mathematical, lumped element 87
Model, mathematical, mechanical systems 87 159 183 191 217 227
Model, mathematical, rotational systems 89
Model, mathematical, thermal systems 91 169 174 221
Moment of inertia 139
Motor, model 91
Newton's second law 59
Oscillation x 22
Oscillation, damped 44 183
Oscillation, undamped 183
Parallelogram of vectors 36 59
Partial fractions 147
Periodic time 23
permutations 293
Phase angle 27 30
Phasor x 23
Phasor, adding 36 68 75
Phasor, complex representation 75
Phasor, defined 30
Phasor, division 77
Phasor, impedance 79 81
Phasor, Kirchhoff's laws 78
Phasor, multiplication 77
Phasor, polar notation 68
Phasor, subtraction 75
PLC x 274 278 284 285
Polygon rule for vectors 59
Power, maximum transfer 121
PRECISION 302
probability 291
Probability, conditional 298
Probability, density function 301
Probability, distributions 300
Probability, mutually exclusive events 293
Progammable logic controller see "PLC"
proportionality 3
Proportionality, constant 4
Quadratic functions 11
Quadratic functions, completing the square 13
Quadratic functions, factors 12
Quadratic functions, formula 14
Quadratic functions, roots 12
Radioactive decay 52
Reactance 81
Rectifier filter 266
Reliability 291
Ripple factor 267
Root-mean-square value 153
Roots 12
Scalars, defined 57
Second moment of area 140
Sensitivity, static system 173
SEQUENCE 236
Sequence, arithmetic 236
Sequence, convergent 239
Sequence, D'Alembert test 240
Sequence, divergent 239
Sequence, Fourier 248
Sequence, geometric 236
Sequence, harmonic 236
Sequence, Pascal's triangle 242
Sequence, power 241 243
Series 237
Series, arithmetic 237
Series, binomial 242 296 308
simple harmonic motion 23 107
Spring, force-extension 2 3
Spring, oscillation 22
Steady-state value 170 173
Straight-line graph 8
Summation symbol 133 237
Superposition principle 262
Switching circuits 270
Thermometer, model 92 169
time constant 42 170 173 222
Transfer function 217
Transfer function, defined 217
Transfer function, feedback systems 219
Transfer function, series systems 218
Transients, electrical 172
Triangle rule for vectors 59
Truth table 271
Turning points 116
Variable, continuous 298
Variable, dependent 2
Variable, discrete 298
Variable, independent 2
Variable, random 298
Vectors 57
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