Minima (see Maxima and minima) Minimax, 162
Modulus, of complex number, 441, 442
of elliptic function, k, 51 Moment, bending, 241 Moment of inertia, 177, 180, 182, 183, 187, 190, 191, 196, 241 Moments, method of, 544 Most probable value, 505 approximation for probability of, 511
Motion, dead-beat, 304 fluid, 220 l*ws of, 231, 234 of a membrane, 377 oscijlatory, 304 pendulum, 48, 234 simple harmonie, 233, 301, 314, 380
under gravity, 232 Multiple intégrais, 172-196 définition and évaluation of, 173, 179
géométrie interprétation of, 177 Multiplication, of complex numbers, 442
of déterminants, 110 of sériés, 21 of vectors, 399 Multiplicity of root, 93, 294 Multiplier, Lagrangian, 165 Multiply connected région, 205, 212, 455
Mutually exclusive events, 497 N
N*bla, or del, V, 194, 195, 407, 414, 422
Newtonian potential, 196 Newton’s law, of attraction, 218 of cooling, 254 of dynamics, first law, 231 second law, 231, 272, 363 third law, 231, 234 of gravitation, 232 Newton’s method of solution, 97
Normal, to a curve, 144 to a plane, 146, 147 to a surface, 147, 188, 407 Normal approximation, 515 Normal denvative, 144, 146, 152 (See also Gradient)
Normal distribution curve, 516 Normal équations, 537, 540 Normal form, 146
Normal law (see Gaussian law of error)
Normal line, 144, 146-149 Normal orthogonal functions, 81 Numbers, complex, 440 measure, 397
Numerical intégration, 554-560 Numerical solution of différentiel équations, 346
O
Odd function, 68 Operator, 528
différentiel, 287-299, 357, 406 vector (see Curl; Divergence; Gradient; Nabla)
Order of differential équation, 225 Ordinary differential équations, 225— • ' 349
(See also Differential équations) Ordinary discontinuity, 64 Origin of a vector, 393 Orthogonal curves, 277, 468 Orthogonal functions, 81, 339, 345 Orthogonal Systems, 434 ^Orthogonal trajectories, 277-279 Orthogonal vectors, 398 Oscillation of a spring, 299 Oscillatory motion, 304 Overdamped, 303
P
p sériés, 10 Parabole, 244 Parabolic coordinates, 439 Paraboloid, hyperbolic, 162 Parachute, 253, 255