Index
989
Q
Quadratic functional, 104, 229
Quadratic variation, 229, 230
Quotient theorem of tensors, 65
R
Radius, 391
Range, 387, 404
Rank, 490
Reactive force of constraint, 515
Real displacement, 516
Real inner product space, 394
Real line, 385
Real linear space, 392
Real work, 518
Recognition theorem of tensor, 65
Rectangular Cartesian base (basis), 52
Region, 400
Regular point, 115
Regular problem, 115
Regular variable, 582
Reissner functional, 698
Relational expressions of virtual strains and
virtual displacements, 532
Relative extremum, 97
Relative maximum, 97
Relative minimum, 97
Remainder, 472
Removal constraint, 515
Residual, 472
Residual function, 473
Residual in domain, 472
Residue, 472
Ricci symbol, 54
Riemann theorem, 49
Riemann transformation, 112
Right adjoint operator, 409
Right and left mixed self-adjoint operator,
409
Right and left mixed self-conjugate operator,
409
Right conjugate operator, 409
Right Hamiltonian operator train, 706
Right self-adjoint operator, 409
Right self-conjugate operator, 409
Rigid (body) displacement, 516
Rising order operator, 695
Ritz method, 463
Robin problem, 430
Rocket flight problem, 119
Rotation, 30
Rotation matrix, 59
Rotation theorem, 38
Rotation type functional, 671
Rotor, 30
S
Scalar field, 8
Scalar function, 8
Scalar Laplace operator, 19
Scalar Laplacian, 19
Scalar potential, 15
Schrödinger equations, 487, 635
Schwarz inequality, 48, 396
Scleronomic constraint, 515
Scleronomous constraint, 515
Second boundary value problem for the
Laplace(’s) equation, 430
Second boundary value problem for the
Poisson(’s) equation, 430
Second boundary value problem of elliptic
equation, 430
Second Erdmann corner condition, 297
Second invariant, 66
Second Maxwell(’s) equation, 630
Second order symmetric(al) tensor, 61
Second order tensor, 61
Second variation, 229, 230
Second variation of total potential energy,
538
Self-adjoint hamiltonian operator train, 707
Self-adjoint operator, 408, 409
Self-conjugate hamiltonian operator train,
707
Self-conjugate operator, 408, 409
Self-conjugate ordinary differential equation, 422
Semi-holonomic constraint, 515
Series, 402
Set, 384
Set of natural numbers, 385
Set of numbers, 385
Set of points, 385
Shortest distance problem, 88
Similar operator, 405
Simplest functional, 101
Simplest functional of integral type, 101
Simplest functional of undetermined
boundary, 240
Simplest functional of variable boundary,
240
Simplest integral type functional, 101
Singleton, 385
Skew-symmetric tensor, 61
989
Q
Quadratic functional, 104, 229
Quadratic variation, 229, 230
Quotient theorem of tensors, 65
R
Radius, 391
Range, 387, 404
Rank, 490
Reactive force of constraint, 515
Real displacement, 516
Real inner product space, 394
Real line, 385
Real linear space, 392
Real work, 518
Recognition theorem of tensor, 65
Rectangular Cartesian base (basis), 52
Region, 400
Regular point, 115
Regular problem, 115
Regular variable, 582
Reissner functional, 698
Relational expressions of virtual strains and
virtual displacements, 532
Relative extremum, 97
Relative maximum, 97
Relative minimum, 97
Remainder, 472
Removal constraint, 515
Residual, 472
Residual function, 473
Residual in domain, 472
Residue, 472
Ricci symbol, 54
Riemann theorem, 49
Riemann transformation, 112
Right adjoint operator, 409
Right and left mixed self-adjoint operator,
409
Right and left mixed self-conjugate operator,
409
Right conjugate operator, 409
Right Hamiltonian operator train, 706
Right self-adjoint operator, 409
Right self-conjugate operator, 409
Rigid (body) displacement, 516
Rising order operator, 695
Ritz method, 463
Robin problem, 430
Rocket flight problem, 119
Rotation, 30
Rotation matrix, 59
Rotation theorem, 38
Rotation type functional, 671
Rotor, 30
S
Scalar field, 8
Scalar function, 8
Scalar Laplace operator, 19
Scalar Laplacian, 19
Scalar potential, 15
Schrödinger equations, 487, 635
Schwarz inequality, 48, 396
Scleronomic constraint, 515
Scleronomous constraint, 515
Second boundary value problem for the
Laplace(’s) equation, 430
Second boundary value problem for the
Poisson(’s) equation, 430
Second boundary value problem of elliptic
equation, 430
Second Erdmann corner condition, 297
Second invariant, 66
Second Maxwell(’s) equation, 630
Second order symmetric(al) tensor, 61
Second order tensor, 61
Second variation, 229, 230
Second variation of total potential energy,
538
Self-adjoint hamiltonian operator train, 707
Self-adjoint operator, 408, 409
Self-conjugate hamiltonian operator train,
707
Self-conjugate operator, 408, 409
Self-conjugate ordinary differential equation, 422
Semi-holonomic constraint, 515
Series, 402
Set, 384
Set of natural numbers, 385
Set of numbers, 385
Set of points, 385
Shortest distance problem, 88
Similar operator, 405
Simplest functional, 101
Simplest functional of integral type, 101
Simplest functional of undetermined
boundary, 240
Simplest functional of variable boundary,
240
Simplest integral type functional, 101
Singleton, 385
Skew-symmetric tensor, 61