| Biology and Ecology (Return to Top) |
| Estimating systolic blood pressure, 426 |
| Laboratory animal trials, 296 |
| Molecular modeling, 161 |
| Net primary production of nutrients, 422 |
| Nutrition problems, 93-94, 99, 100 |
| Predator-prey system, 343-344, 350 |
| Spotted owls and stage-matrix models, 301-302, 301, 349-352 |
| Business and Economics (Return to Top) |
| Accelerator-multiplier model, 286 |
| Airline route maps, 114 |
| Average cost curve, 422 |
| Car rental fleet, 101,297 |
| Cost vectors, 36 |
| Equilibrium prices, 58, 63 |
| Exchange table, 62, 63 |
| Feasible set, 468 |
| Gross domestic product, 157 |
| Indifference curves, 469-470 |
| Intermediate demand, 153 |
| Investment, 287 |
| Leontief exchange model, 1, 57-59 |
| Leontief input-output model, 1, 152-158, 152 |
| Loan amortization schedule, 287 |
| Linear programming, 2, 95, 138 |
| Marginal propensity to consume, 286 |
| Markov chains, 288-298, 316 |
| Manufacturing operations, 36-37, 79 |
| Maximizing utility subject to a budget constraint, 468-470 |
| Population movement, 97-99, 101, 289-290, 293, 297, 315-316 |
| Price equation, 157 |
| Total cost curve, 423 |
| Value added vector, 157 |
| Variable cost model, 425 |
| Computers and Computer Science (Return to Top) |
| Color monitors, 167 |
| Computer graphics, 106, 158-167 |
| Cray supercomputer, 138 |
| Data storage, 46, 150 |
| Error-detecting and error-correcting codes, 265 |
| High-end computer graphics boards, 165 |
| Homogeneous coordinateds, 159-160, 162 |
| Parallel processing, 2, 115, 157 |
| Perspective projections, 163-164, 164 |
| Vector pipeline architecture, 138 |
| Virtual reality, 161 |
| VSLI microchips, 135 |
| Wire-frame models, 105-106, 158 |
| Control Theory (Return to Top) |
| Controllable system, 300 |
| Control systems engineering, 140, 215-216, 215 |
| Decoupled system, 348, 354, 358 |
| Deep space probe, 140 |
| State-space model, 300, 342 |
| Steady-state response, 342 |
| Transfer function (matrix), 140, 147-148 |
| Electrical Engineering (Return to Top) |
| Branch and loop currents, 95, 97 |
| Circuit design, 2, 147-148 |
| Current flow in networks, 95-97, 100 |
| Discrete-time signals, 218, 278 |
| Inductance-capacitance circuit, 233 |
| Kirchhoff's laws, 95, 97 |
| Ladder network, 147-148, 150 |
| Laplace transforms, 140, 202 |
| Linear filters, 280-281, 286 |
| Low-pass filter, 281, 417 |
| Minimal realization, 148 |
| Ohm's law, 95, 96, 97 |
| RC circuit, 355-356 |
| RLC circuit, 244, 360, 362 |
| Series and shunt circuits, 147 |
| Transfer matrix, 147-148, 150 |
| Engineering (Return to Top) |
| Aircraft performance, 426, 443 |
| Boeing Blended Wing Body, 106 |
| CFD and aircraft design, 105-106 |
| Cantilevered beam, 286 |
| Deflection of an elastic beam, 120, 128 |
| Deformation of a material, 492 |
| Equilibrium temperatures, 12, 102, 150 |
| Flexibility and stiffness matrices, 120, 127-128 |
| Heat conduction, 151 |
| Image procssing, 447-448, 447, 483-484, 487-488 |
| LU factorization and airflow, 106 |
| Moving average filter, 286 |
| Space shuttle control, 215-216, 215 |
| Superposition principle, 77, 96, 354 |
| Surveying, 373 |
| Mathematics (Return to Top) |
| Area and volume, 185, 204-209, 209, 312 |
| Attractors/repellors in a dynamical system, 345-348, 352, 356, 361 |
| Bessel's inequality, 444 |
| Best approximation in function spaces, 431-432 |
| Cauchy-Schwarz inequality, 433 |
| Conic sections and quadric surfaces, 461 |
| Differential equations, 233, 353-363 |
| Extrema for functions on several variables, 462 |
| Fibonacci sequence, 325 |
| Fourier series, 440-442 |
| Hermite polynomials, 261 |
| Hill Ciphers, 223 |
| Interpolating polynomials, 27, 184 |
| Isomorphism, 177, 251 |
| Jacobian matrix, 209 |
| Laguerre polynomials, 261 |
| Laplace transforms, 140, 202 |
| Legendre polynomials, 436 |
| Linear transformations in calculus, 232-233, 329-330 |
| Lucas sequence, 325 |
| Slpines, 26 |
| Triangle inequality, 433 |
| Trigonometric polynomials, 440 |
| Numerical Linear Algebra (Return to Top) |
| Band matrix, 151 |
| Block diagonal matrix, 138, 140 |
| Cholesky factorization, 462, 492 |
| Companion matrix, 372 |
| Condition number, 131-132, 131, 133-134, 200, 445, 478 |
| Effective rank, 268, 474 |
| Floating point arithmetic, 10, 23, 211 |
| Fundamental subspaces, 270, 380, 479 |
| Givens rotation, 104 |
| Gram matrix, 492 |
| Hilbert matrix, 134 |
| Householder reflection, 184, 444 |
| Ill-conditioned matrix (problem), 131, 414 |
| Inverse power method, 366-368 |
| Iterative methods, 363-370 |
| Jacobi's method for eigenvalues, 317 |
| LAPACK, 115, 138 |
| Large-scale problems, 106, 138, 374 |
| LU factorization, 142-146, 149, 150, 486 |
| Operation counts, 23, 125, 143-144, 146, 190, 195 |
| Outer products, 117, 136 |
| Parallel processing, 2, 116 |
| Partial pivoting, 20, 146 |
| Polar decomposition, 492 |
| Power method, 363-366 |
| Powers of a matrix, 114 |
| Pseudoinverse, 480, 492 |
| QR algorithm, 318, 368 |
| QR factorization, 150, 405-407,
405, 445 |
| Rank-revealing factorization, 150, 300, 486 |
| Rank theorem, 265, 271 |
| Rayleigh quotient, 369, 445 |
| Relative error, 445 |
| Schur complement, 139 |
| Schur factorization, 445 |
| Singular value decomposition, 150, 447, 471-482 |
| Spare matrix, 106, 155, 195 |
| Spectral decomposition, 453 |
| Spectral factorization, 150 |
| Tridiagonal matrix, 151 |
| Vandermonde matrix, 184, 212, 372 |
| Vector pipeline architecture, 138 |
| Physical Sciences (Return to Top) |
| Cantilevered beam, 286 |
| Center of gravity, 39 |
| Chemical reaction, 59-60, 63 |
| Crystal lattice, 248, 255 |
| Decomposing a force, 389 |
| Digitally recorded sound, 278 |
| Gaussian elimination, 14 |
| Hooke's law, 120 |
| Interpolating polynomial, 26, 184 |
| Kepler's first law, 426 |
| Landsat image, 447 |
| Linear models in geology and geography, 423-424 |
| Mass estimates for radioactive substances, 425 |
| Mass-spring system, 223-224, 244 |
| Model for glacial cirques, 423 |
| Model for soil pH, 423 |
| Pauli spin matrices, 183 |
| Periodic motion, 335 |
| Quadratic form in physics, 456 |
| Radar data, 140 |
| Seismic data, 2 |
| Space probe, 140 |
| Steady-state heat flow, 12, 101, 150 |
| Superposition principle, 77, 96, 354 |
| Three-movement equation, 286 |
| Traffic flow, 61-62, 64 |
| Trend surface, 423 |
| Weather, 296 |
| Wind tunnel experiment, 27 |
| Statistics (Return to Top) |
| Analysis of variance, 412 |
| Covariance, 484-485, 489 |
| Full rank, 270 |
| Helmert blocking, 374 |
| Least-squares error, 413 |
| Least-squares line, 373, 419-421 |
| Linear model in statistics, 419-425 |
| Markov chains, 288-298, 310 |
| Mean-deviation form for data, 421, 484 |
| Moore-Penrose inverse, 480 |
| Multichannel image processing, 447-448, 483-484, 489 |
| Multiple regression, 423-424 |
| Orthogonal polynomials, 431 |
| Orthogonal regression, 491 |
| Powers of a matrix, 114 |
| Principal component analysis, 447-448, 485-487 |
| Quadratic forms in statistics, 456 |
| Readjusting the North American Datum, 373-374 |
| Regression coefficients, 419 |
| Sums of squares (in regression), 427, 437-438 |
| Trend analysis, 438-440 |
| Variance, 427, 485 |
| Weighted least-squares, 428, 436-438 |
