V
vagueness, 360
valence
--- in-valence, 348
--- out-valence, 348
value
--- expected, measurent, 753
--- system (function of several variables), 117
--- true, measurement. 790
van der Pol differential equation, 833
variable
--- artificial, 854
--- basic, 850
--- Boolean, 344
--- bound variable, predicate logic, 289
--- dependent, 47 , 271
--- free, predicate logic, 289
--- independent, 47 , 117 , 271
--- linguistic, 361
--- non-basic, 850
--- propositional, 286
--- random, 751
variance, 753
--- distribution, 753
--- sample function, 771
--- statistics, 773
--- two-dimensional distribution, 780
variation
--- function, 60
--- of constants, method, 501
variation of constants
--- differential equation, linear, 507
--- theorem, 802
variational calculus, 552
--- auxiliary curve, 554
--- comparable curve, 554
--- Euler differential equation, 554
--- side-condition, 552
variational equation, 804 , 821 , 914
--- equilibrium point points, 811
variational problem, 552 , 909
--- brachistochrone problem, 553
--- Dirichlet, 559
--- extremal curves, 553
--- first order, 552
--- first variation, 561
--- functional, 553
--- higher order, 552
--- higher order derivatives, 556
--- isoperimetric, general, 553
--- more general, 560
--- numerical solution, 560
--- direct method, 560
--- finite element method, 561
--- gradient method, 561
--- Ritz method, 560
--- parameter representation, 552
--- parametric representation, 557
--- second variation, 561
--- several unknown functions, 557
--- side-conditions, 555
--- simple
--- one variable, 553
--- several variable, 558
variety, 341
vector
--- absolute value, 180
--- affhne coordinates, 182
--- axial, 180
--- reflection behavior, 268
--- base, 186
--- base vector
--- reciprocal, 185
--- bound, 180
--- Cartesian coordinates, 182
--- column, 253
--- components, 648
--- conjugate, 869
--- coordinates, 182
--- Darboux vector, 243
--- decomposition, 182
--- diagram, oscillations, 83
--- differentiation rules, 642
--- direction in space, 180
--- direction, vector triple, 180
--- directional coefficient, 183
--- expansion coefficient, 183
--- fields, 642
--- free, 180
--- left singular, 285
--- length, 189
--- line, 648
--- magnitude, 180
--- matrix, 253
--- metric coefficients, 185
--- notion, 180
--- null vector, 181
--- polar, 180
--- reflection behavior, 268
--- pole, origine, 181
--- position vector, 181
--- complex-number plane, 34
--- radius vector, 181
--- complex-number plane, 34
--- reciprocal, 186
--- reciprocal basis vectors, 186
--- residual, 277
--- right singular, 285
--- row, 253
--- scalar invariant, 657
--- sliding, 180
--- space, 597
--- stochastic, 766
--- unit, 180
--- zero vector, 181
vector algebra, 180
--- geometric application, 189
--- notions and principles, 180
vector analysis, 642
vector equation
--- line, 188
--- plane, 188
--- space curve, 238 , 241
vector equations, 187
vector field, 645 , 797
--- Cartesian coordinates, 646
--- central, 645
--- circular field, 646
--- components, 648
--- contour integral, 662
--- coordinate definition, 646
vector field (continued)
--- cylindrical, 646
--- cylindrical coordinates, 647
--- directional derivative, 650
--- divergence, 653
--- point-like source, 668
--- rotation, 654
--- sink, 653
--- source, 653
--- spherical, 646
--- spherical coordinates, 647
vector function, 642 , 645
--- derivative, 642
--- differentiation, 642
--- hodograph, 642
--- linear, 267
--- scalar variable, 642
--- Taylor expansion, 643
vector gradient, 652
vector iteration, 283 , 284
vector lattice, 602
--- homomorphism, 603
vector potential, 668
vector product, 183
--- hints, 255
--- representation in coordinates, 187
vector space, 316 , 596
--- all null sequences, 598
--- bounded sequences, 598
--- B(T), 598
--- (, '([a, b]), 598
--- e(v([a, b]), rm
--- complex, 597
--- convergent sequences, 598
--- Euclidean, 318
--- finite sequence of numbers, 597
--- F", 597
--- T(T), 598
--- functions, 598
--- infinite-dimensional, 317 , 599
--- L p, 639
--- p, 598
--- n-dimensional, 317
--- n-dimensional Euclidean, 254
--- ordered by a cone, 601
--- partial ordering, 601
--- real, 316 , 597
--- s of all sequences, 597
--- sequences, 597
vector subspace
--- stable, 807 , 812
--- unstable, 807 , 812
vectors, 180 , 253
--- angle between, 189
--- collinear, 181
--- collinearity, 184
--- commutative law, 255
--- coplanar, 181
--- cyclic permutation, 207
--- double vector product, 184
--- dyadic product, 255
--- equality, 180
--- Lagrange identity, 185
--- linear combination, 181 , 184
--- mixed product, 184 , 187
--- Cartesian coordinates, 185
--- orthogonality, 184
--- products
--- affine coordinates, 185
--- Cartesian coordinates, 185
--- products, properties, 183
--- scalar product, 255
--- Cartesian coordinates, 185
--- representation in coordinates, 186
--- sum, 181
--- tensor product, 255
--- triple product, 184
vector product
--- representation in coordinates, 187
Venn diagram, 291
verification, proof, 5
vertex
--- angle, 128
--- degree, 348
--- ellipse, 198
--- graph, 348
--- hyperbola, 200
--- initial, 348
--- isolated, 348
--- level, 354
--- parabola, 203
--- plane curve, 232
--- sink, 358
--- source, 358
--- terminal, 348
vertical angle, 143
vertices, distance, 351
vibration, differential equation
--- bar, 526
--- round membrane, 527
--- string, 525
Vieta, root theorem, 43
Volterra integral equation, 563 , 609
--- first kind, 585
--- second kind, 587
volume
--- barrel, 157
--- block, 152
--- cone, 156
--- cube, 152
--- cylinder, 154
--- double integral, 474
--- element, vector components, 660
--- hollow cylinder, 155
--- obelisk, 153
--- parallelepipedon with vectors, 189
--- polyhedron, 151
--- prism, 152
--- pyramid, 152
--- rectangular parallelepiped, 152
--- sphere, 156
--- subset, 635
--- tetraeder, 213
--- torus, 157
--- triple integral, 480
--- wedge, 154
volume derivative. 651
volume integral, 476
volume scale, 114
Переход к предметному указателю( к Index)
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
<<=======Возврат к оглавлению