Principles of Mathematics in Operations Research

Index

affine

combination, 15

hull, 16

aleph, 133

Archimedean Property, 125

axiom, 4, 123, 138

Balzano-Weierstrass, 150

basis, 16, 29, 211, 212, 246

change, 19, 55

orthonormal, 39

representation, 17

Binomial theorem, 187, 208, 286, 288

canonical
combination, 15, 116, 252
Cantor, 131, 132, 150-151
cardinal numbers, 132-133
Cauchy, 176, 178, 179
Cayley-Hamilton, 195
combat modelling, 65, 202, 228, 290
combination, 207-209
affine, 15
canonical, 15, 116, 252
convex, 15, 116, 252
linear, 15
complex, 63-65, 125, 127-128, 176,
180-186
conjugate, 63
hermitian, 64, 75
unitary, 64
cone, 16, 94, 100, 243
conjecture, 4
convex, 140

combination, 15, 116, 252

cone, 94

hull, 16, 94, 98

polyhedron, 96

polytope, 96, 99-100, 115, 241-244,

246

set, 93-102

corollary, 4

Cramer's rule, 51

cube, 100, 241

D'Alembert, 177

d-simplex, 99, 241

decomposition

Cholesky, 74, 75, 231

Jordan, 65, 195, 226

LDU, 22, 23, 53

LU, 21, 24, 25, 44, 47, 115, 220, 221,

249

QR, 41, 44, 47, 88, 89, 115, 217, 221,

250

singular value, 43, 44, 47, 75, 86, 223

Spectral Theorem, 64

definiteness

indefinite, 76

negative, 73-77, 230-233

positive, 73-77, 81, 82, 230-233, 281

semi, 75, 281

definition, 3

determinants, 51-53, 74, 75, 230

cofactor, 53, 65, 224

difference equations, 60-62, 187,

197-202, 288, 290, 291