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| Авторизация |
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| Hildebrand F.B. — Methods of Applied Mathematics |
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| Предметный указатель |
Poisson’s integral formula 306(30)
Poisson’s ratio 180
Positive definite form 48 166
Positive definite integral operator 330(96)
Positive definite matrix 48 342
Positive semidefinite form 48
potential energy 149 165
Potential energy of deformed beam 175
Potential energy of deformed membrane 177
Potential energy of deformed plate 180
Potential energy of deformed spring 209(74)
Potential energy, reduced 161
Potential, force 149
Potential, kinetic 150
Principal axis 123
Principal minor 51
Principal value, of integral 325(84)
Pulley 162
Quadratic form 36 166
Quadratic form, canonical 36 48 71 169
Quadratic form, discriminant of 50
Quadratic form, Hermitian 43 48
Quadratic form, invariant of 50
Quadratic form, positive definite 48 166
Quadratic form, positive semidefinite 48
Quadratic integral form 327(92)
Quadric surface 36 122
Quadric surface, principal axis of 123
Rank of matrix 18
Rayleigh — Ritz method 181
Rayleigh’s dissipation function 169
Rayleigh’s principle 148
Reciprocal kernel 267 317(61)
Reciprocity relation 245
Reduced characteristic equation 60
Reduced potential energy 161
Reducing factor 216(92)
Residual equations 2
Resistance 169
Resistance coefficient 170
Resolvent kernel 267 317(61)
Right inverse of matrix 97(27)
Root mean square value 117(130)
Rotating shaft 175
Rotating string 172 244
Row space 28
Row vector 23 27
Scalar matrix 15
Scalar product of functions 82 88
Scalar product of vectors 23 70
Schwarz inequality 24 99(43 44) 117(127)
Schwarz — Christoffel transformation 308(33)
Secular equation 31
Self-adjoint differential equation 185 216(92) 235
Self-adjoint kernel 314(47)
Semidefinite form 48
Separable kernel 246 335(117 118)
Shear, transverse 176 181
Similarity transformation 42 54 56 77 111(109)
Simpson’s rule 94(8) 280
Singular integral equation 271
Singular matrix 13
Singularity function 236
Solution space 28
Spanning, of space 26
Sphere, motion on 158
| Spherical coordinates 157
Spring, Potential energy of 209(74)
Stable equilibrium 165
Standard basis 27 54
Stationary function 125
Stationary value 120
Stiffness coefficient 170
Strain energy, of plate 180
String, deflection of 172 243
String, rotating 172 244
String, vibrating 147 204(53)
Sturm — Liouville problem 88 145
subspace 26
Summation convention 6
Sylvester’s formula 62 78
Symmetric kernel 228 251
Symmetric matrix 30
Trace, of matrix 51
transform 274
Transformation 4 42
Transformation matrix 55
Transformation, congruence 42
Transformation, conjunctive 45
Transformation, coordinate 54
Transformation, orthogonal 42 56
Transformation, similarity 42 54 56 77
Transformation, unitary 45
Transpose of matrix 13
Transversality condition 145
Trapezoidal rule 280
Triangular matrix 41
Tridiagonal system, of linear equations 344
Trivial function 83
Trivial solution 22
Twisting moment 181
Uniform convergence 91 262
Unit impulse function 237
Unit matrix 14
Unit singularity function 237
Unit vector 23 71
Unitary matrix 45
Unitary transformation 45
Variation 131
Vector 23
Vector space 26
Vector space, basis in 26 33
Vector space, dimension of 26
Vector, abstract 54
Vector, Hermitian product 24
Vector, length of 23
Vector, length of, generalized 70
Vector, linear dependence 25
Vector, numerical 23 54
Vector, orthogonality 24
Vector, orthogonality, generalized 70
Vector, scalar product 23
Vector, scalar product, generalized 70
Vector, unit 23
Vector, unit, generalized 71
Vector, zero 24
Vibration, small 165
Virtual displacement 161
Volterra integral equation 222 226 263 271 275
Weighting matrix 288
wronskian 230
Zero matrix 15
Zero vector 24
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