R
radial equation, 542
radian
--- definition, 130
--- measure, 130
radicals, ordinary differential equation, 493
radicand, 8
radius
--- circle, 139 , 197
--- circumcircle, 142
--- convergence, 416
--- curvature, 230
--- curve, 229
--- space curve, 240
--- curvature, extremal, 558
--- polar coordinates, 190
--- principal curvature
--- surface, 247
--- short, 132
--- torsion, space curve, 242
--- vector, 181
raising to a power
--- complex numbers, 37
real numbers, 7 , 9
random number, 770 , 783
--- application, 784
--- congruence method, 783
--- construction, 784
--- different distributions, 784
--- pseudorandom, 784
--- uniformly distributed, 783
random numbers, table, 1097
random variable, 751
--- continuous, 751 , 752
--- discrete, 751
--- independent, 754 , 779
--- mixed, 751
--- multidimensional, 754
--- two-dimensional, 779
random vector
--- mathematical statistics, 770
--- multidimensional random variable, 754
random walk process, 786
range, 47
--- operator, 600
--- sample function, 772
--- statistics, 774
rank
--- matrix, 255
--- tensor, 262
--- vector space, 318
rate
--- effective, 22
--- nominal, 22
--- of interest, 22
ray point, 495
ray, notion, 128
Rayleigh-Ritz algorithm, 283
reaction, chemical, concentration, 116
real part (complex number), 34
rebate, 21
recombination, 870 , 871
rectangle, 135
rectangular formula, simple, 899
rectangular impulse, 714
rectangular pulse, 697
rectangular sum, 899
rectification, 107
Reduce (computer algebra system), 953
reduction, 21
--- angle, 174
reduction formula, trigonometric functions, 77
reflection principle, Schwarz, 681
reflection, position coordinate, 269
region, 118
--- multiply-connected, 118
--- non-connected, 118
--- simply-connected, 118
--- two-dimensional, 118
regression
--- analysis, 779
--- coefficient, 781
--- line, 780 , 781
--- linear, 780
--- multidimensional, 781
regula falsi, 886
regularity condition, 863 , 876
regularization method, 285
regularization parameter, 278
relation, 294
--- binary, 294
--- congruence relation, 340
--- equivalence relation, 296
--- Euler (complex numbers), 35 , 698
--- fuzzy-valued, 369
--- inverse, 295
--- less or equal than (< relation), 289
--- matrix, 294
--- n-ary, 294
--- n-place, 294
--- order relation, 296
--- product, 295
relaxation method, 896
relaxation parameter, 896
reliability testing, 769
relief, analytic function, 672
remainder
--- estimation, 413
--- series, 406
--- term, 406
Remes algorithm, 925
rent, 25
--- ordinary, constant, 25
representation of groups, 303
--- adjoint, 304
--- direct product, 305
--- direct sum, 305
--- equivalent, 304
--- faithful, 303
--- identity, 303
--- irreducible, 305
--- non-equivalent, 304
--- particular, 303
--- properties, 303
reducible, 305
reducible, complete, 306
representation matrix, 303
representation space, 303
--- subspace, 305
--- true, 303
--- unitary, 304
representation theorem (fuzzy logic), 364
resection
--- Cassini, 149
--- Snellius, 148
residual spectrum, 623
residual sum of squares, 277 , 894
residual vector, 277
residue
--- quadratic modulo m, 329
--- complex function, 693
--- theorem, 694
residue class, 327
--- addition, 327
--- multiplication, 327
--- primitive, 328
relatively prime, 328
ring, 313 , 327
ring, modulo m, 327
residue theorem, 692
--- application, 695
residuum, 277 , 893
resolvent, 568 , 570 , 587. 622
--- set, 622
resonance torus, 842
reversing the order of the bits, 930
rhombus, 135
Riemann
--- formula, 530
--- function, 530
--- integral, 441
--- comparison with Lebesgue integral, 453
--- comparison with Stieltjes integral, 453
--- method, 530
--- sum, 441
--- surface, many-sheeted, 685
--- theorem, 409
right screw rule, 663
right singular vector, 285
right-hand coordinate system, 207
right-hand rule, 183 , 663
ring, 313
--- factor ring, 314
ring (continued)
--- homomorphism, 314
--- theorem, 314
--- isomorphism, 314
--- polynomial, 315
--- subring, 313
risk theory, 21
Ritz method, 560 , 909
R", n-dimensional Euclidean vector space, 254
Romberg method, 901
root
--- complex function, 673
--- complex number, 38
--- equation, 43
--- non-linear, 884
--- notion, 8
--- JV-th of unity, 929
real number, 8
--- square root, complex, 677
--- theorem of Vieta, 43
root locus theory, 889
root test of Cauchy, 408
rotation
--- definition, 654
--- different coordinates, 655
--- mapping, 817
--- potential field, 656
remark, 650
--- vector components. 659
--- vector field, 654
rotation angle, 212
rotation field
--- pure, 668
--- zero-divergence field, 668
rotation invariance, 265
rotation matrix, 190 , 211 , 257
--- orthogonal, 262
rotation number, 843
rotator, rigid, 542
round-off, 940
--- error, 942
--- measurement, 787
--- error method, 942
round-tour problem, 861
row echelon form, system of linear equations, 276
row sum criterion, 895
RSA encryption method, 339
Ruelle-Takens-Newhouse scenario, 842
rule, 906
--- Adams and Bashforth, 906
--- Bernoulli-l'Hospital, 54
--- Cartesian rule of signs, 888
--- Cramer, 275
--- De Morgan, 287
--- Descartes, 45
--- Guldin, first rule, 453
--- Guldin, second rule, 453
--- Laplace expansion, 259
--- linguistic, 375
--- Milne, 906
--- Sarrus, 261
ruled surface, 250
rules
--- composition, 371
--- determinant calculation, 260
--- divisibility, elementary, 320
--- matrix calculation, 257
--- Neper, 169
--- tensor calculation, 263
Runge-Kutta method, 904
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