P

Pair trees, 491 , 520

Parallel computations, 477 , 478 -508

Partials, 69 . 70 , 77 , 81

Particles:

cascades of, 37 ;

elementary, xvi ;

and radiation 417 , 418 , 422 .

See also Neutron

Pasta, John, xii , xiii , 121 , 139 , 156

Pathological:

behavior, 358 ;

limit sets, 299 , 301 , 330 , 340 , 358 ;

systems, 221

Pattern:

algebras, 492 , 494 , 496 (see also Relational structures);

of growth (see Growth pattern);

recognition, xiii , 465 , 466 , 478 , 483 , 485 -490, 531 ;

Period (periodicity), 294 :

accidental or false, 353 -354;

attractive, 314 , 316 , 333 -334, 354 ;

fortuitous, 353 -354;

non-attractive, 342 ;

of order k, 311 , 314 , 316 , 322 , 333 -334, 338 , 340 , 354 n, 356 , 357 -358;

pseudo (see Limit sets, Class III)

Periodic:

belt, 358 ;

growth, 381 -382, 383 ;

limit, 207 -209;

limit sets, 317 , 333 -334, 338 , 339 , 340 , 341 , 342 , 357 , 358 ;

points, 201

Perron, O., 144 , 218

Perturbation, 20 , 337 -338, 341 , 342 , 343

Phase space, 156 , 186

Photons, 20 , 38 , 422

Piece-wise linear transformations. See Broken-linear transformations

Pitt, H.R., 409

Planck-Einstein-Tolman treatment, 417

Plasma, 165

Plemmons, R.J., 492

Poincaré, Henri, 344 , 345

Points:

corner, 353 ;

exceptional, 350 -351;

invariant, 294 , 299 ;

limit, 4 , 43 , 45 -48, 313 , 314 ;

non-periodic, 350 ;

periodic, 201 ;

set defined by (see Limit sets).

See also Boundary points; Fixed points

Pólya, George, urn scheme of, 400 , 401 , 402 , 403 , 410

Polynomial, 461 -462;

transformations, 293 , 297 , 300 , 319 , 345 , 348 , 352 n

Probability, xii ;

and branching processes, 37 ;

of death/mortality, 4 , 5 , 7 , 67 , 73 -74, 105 ;

and generating function, 38 , 39 , 75 , 81 ;

in generation, 2 -3, 8 , 10 , 12 , 13 ;

of immortality, 4 , 5 ;

transition, 85

Procreation. See Generation

Product:

homomorphism, 497 , 498 ;

isomorphism, 481 -482 497 , 498 , 499 ;

sets, 480 , 496

Projection, 480 -481, 498 , 520

Project Orion, xiii , 163

Propellant/propulsion:

acceleration in, 167 , 168 -171, 174 ;

air as, 176 ;

chemical, 174 , 176 ;

distance, 165 , 167 , 177 ;

external, 163 -177;

gravity as, xiii ;

heating by, 164 , 176 ;

hydrogen as, 164 ;

internal, 179 -181;

kinetic energy in, 166 ;

magnetic field in, 164 -165, 176 ;

mass in, 165 -166, 172 -174;

nuclear, 163 -177, 179 -184;

positioning of, 176 -177;

temperature, 165 ;

velocity in, 165 -166, 168 , 173 , 182 , 183

Protein, 466 , 469 , 470 , 471 , 472

Pseudo-periods. See Limit sets, Class III