O
obelisk, 153
objective function, linear, 846
observational value, 787
occupancy number, statistics, 772
octahedron, 154
octal number, 937
octal system, 937
octantj 209
--- Lj-limit set, 799 , 805 , 812
operation, 298
--- algebraic, 263
--- arithmetical, 1
--- associative, 298
--- binary, 298
--- commutative, 298
--- exterior, 299
--- n-ary, 298
operational method, 534
operational notation, differential equation, 502
operator
--- adjoint, 626
--- AND, 368
--- bounded, 619
--- closed, 620
--- coercivity, 634
--- compact, 628
--- compensatory, 368
--- completely continuous, 628
--- continuous, 610
--- inverse, 621
--- contracting, 608
--- demi-continuous, 634
--- differentiable, 632
--- finite dimensional, 628
--- gamma, 368
--- Hammerstein, 631
--- idempotent, 628
--- inverse, 601
--- isotone, 633
--- lambda, 368
--- linear, 319 , 600
--- bounded, 619
--- continuous, 619
--- linear, notion, 319
--- linear, permutability, 319
--- linear, product, 319
--- monotone, 634
--- Nemytskij, 631
--- non-linear, 631
--- norm, 802
--- notion, 48
OR, 368
--- positive, 602
--- positive definite, 628
--- positive non-linear, 633
--- self-adjoint, 627
--- singular, 592
--- strongly monotone, 634
--- Urysohn, 632
operator method, 709
opposite side, 130
optimality condition, 862 , 863
--- sufficient, 862
optimality principle, Bellman, 880
optimization, 846
optimization method
--- Bellman functional equation, 881
--- conjugate gradient, 869
--- cutting plane method, 877
--- damped, 869
--- DFP (Davidon-Fletcher-Powell), 870
--- feasible direction, 872
--- Fibonacci method, 868
--- golden section, 868
--- Hildreth-d'Esopo, 867
--- Kelley, 877
--- penalty method, 875
--- projected gradient, 873
--- unconstrained problem, 868
--- Wolfe, 865
optimization problem
--- convex, 625 , 863
--- dynamic, 878
--- non-linear, 926
optimization, evolution strategies, 870
--- mutation, 870
--- recombination, 870 , 871
--- selection, 870
optimization, non-linear, 861
--- barrier method, 876
--- convex, 863
--- convexity, 864
--- descent method, 868
--- direction search program, 872
--- duality, 863
--- gradient method
--- inequality constraints, 871
--- Newton method, 869
--- numerical search procedure, 867
--- quadratic, 864
--- saddle point, 862
--- steepest descent method, 869
orbit, 797
--- double, periodic, 836
--- heteroclinic, 808
--- homoclinic, 808 , 841
--- periodic, 797
--- hyperbolic, 805
--- saddle type, 805
order
--- (O)-interval, 602
--- curve, second order, 205
--- curve, n-th order, 194
--- differential equation, 487
--- interval, 602
of magnitude, function, 55
order (continued)
--- second order surface, 220
--- wavelet, 741
order relation, 296
--- linear, 297
order symbol, Landau. 56
ordering, 297
--- lexicographical, 297
--- linear, 297
--- partial 297 , 601
ordinate
--- plane coordinates, 189
--- space coordinates, 208
Ore theorem, 353
orientation, 269
--- coordinate system, 207
--- numerical axis, 1
origin
--- numerical axis, 1
--- plane coordinates, 189
--- space coordinates, 208
original function, 707
original space, 707
--- set, 48
orthocenter, triangle, 132
orthodrome, 173
--- arclength, 174
--- course angle, 173
--- intersection point, 174 , 175
--- intersection point of two orthodromes, 178
--- point, closest to the north pole, 173
orthogonal
--- function system, 920
--- polynomials, 920
--- space, 616
--- spherical, 169
orthogonality
--- conditions
--- line-plane, 219
--- lines in space, 219
--- planes, 216
--- eigenvalues, differential equation, 515
--- Hilbert space, 616
--- lines, 128
--- real vector space, 318
--- trigonometric functions, 318
--- vectors, 184
--- weight, 515
orthogonalization method, 893 , 894
--- Givens, 895
--- Gram-Schmidt, 617
--- Householder, 278 , 895
--- Schmidt, 579
orthogonalization process, 280
--- Gram-Schmidt, 280
orthonormal
--- function system, 920
orthonormalization, vectors, 262
oscillation
--- duration, 82
--- harmonic, 82
oscillator, linear harmonic, 544
osculating plane, space curve, 238 , 241
osculation point, curve, 232
oversliding, 266
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