| Index to MATH.NOT 13-Dec-1985 (notes 1-400)
References to a main note (with no response
number) mean that the topic is discussed
throughout that note; so when investigating
it, you should peruse the responses to that
note as well. This index was produced by
hand by Stan. A complete concordance can
be found in file HARE::SYS$NOTES:MATH.CRD.
Topic References
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120 degrees 22
1983 24
1984 24
3 inverters from 2 68, 211
3D rotation 165
3-coin monte 276
7-section 17
7-11 222
A/P 31
absolute difference triangles 42
abundant numbers 221
aces 307
ADA 225.3
affinely regular n-gon 302.6
AI programs 20.2
algorithm design conference 82
algorithm for division 87
algorithm for reciprocal 87
alphametic solver 45
alphametics 45, 46
amicable numbers 128
AMS book sale 291
AMSTeX 43
analogy 262
ancestor function 310
angles in polyhedra 179
approximations 56, 193
area computation 130
arithmetic progression 354
Arnold Arnold 16.3
artificial intelligence 164
ASIN 27
backup datatypes 96
balance scale 294
balls in bin 197
Banach Tarski theorem 325
base conversions 139, 324
base systems 209, 212, 327
BCAL 15
beyond floating point 23
bibliography 374
Bieberbach conjecture 146
binary expansions 116.2
binary sequences 116
binary trees 184
binomial coefficient 290, 346
bits, counting 305
Bjorn Poonen 398
book reviews 292
books 296, 312
Boolean expression 225
Brent multiprecision package 26
British soldiers problem 69, 303
bugs 89, 204
bus problem 141
byte shuffling 111
calculus 34
CALX 15
cannibals 176
canoeist 317
casting out 9's 56.1
cat and mouse in circle 159
CAYLEY 264
cellular automata 101.2
chain problem 40
chess problems 33, 250.2, 369
Chvatal conjecture 224
circle drawing 162
circles 367
Clifford's theorem 20.3
clusters 337
coin problems 7, 55, 121
Collatz algorithm 249
collection process 272
colliding particles 175
coloring a cube 260
coloring problems 287
combinatorial algorithms 5
combinatorial geometry 265
combinatorics 258, 337
compiler optimizations 155
complex log 32.6
complex polynomial 48.1
composite numbers 365
compressing spaces 129
conferences 82, 246, 306, 309, 362, 373
congruences 394
congruent numbers 278
consecutive substrings 203, 360
contests 167
context free grammar 285
continued fractions 47.3, 57.4, 61, 98
convergent sequence 48
Conway, J. H. 10
counterfeit coins 55
CPM math routines 172
CRC 305
crossnumber puzzles 132, 142
cryptography 205, 235, 332
cubes 330
curve fitting 85
curve in square 31
curve through 3 points 85
curves 319
data analysis program 77
dataflow 236
date/time computation 177
DeBrujn sequence 277.5
derangements 304.7
diagonals 311
dice problems 97
difference equations 61
difference triangles, absolute 42
difference triangles, distinct 14
differential equations 61.2
Digicalc 14.4
digit problems 109
digital filters 36
diophantine equations, trig 393
disection puzzles 83, 84, 119, 201, 210, 250.3, 266, 314, 315
distinct difference triangle 14
divisibility 329, 355, 357, 398
Dogsmead puzzle 142
doubly-true alphametics 46
duality 90
duplicate substrings 203
e, calculation of 92.24
EISPACK 370
ELLPACK 296
equations from digits 24
equation of plane 171
equichordal problem 287.1
Erdos 265, 348
Erdos number 265.5
error-correcting codes 6.1, 6.2
exponential least squares 153
fable 151
factorials 50
factoring 19, 21, 30, 49, 51, 195, 237, 259
factoring programs 73, 81
factoring, algebraic 72, 94, 99, 268
fallacies 293, 275
Farey sequence 193.5
fast Fourier transform 144
Fermat prime 17.1, 17.4
Fermat's Last Theorem 16, 206, 397.1
FFT 144
FFTPACK 370
Fibonacci numbers 59, 219
Fibonacci polynomials 94
finite state machines 190.1, 191.13
firing squad synchronization 69
fireplace 321
FISHPACK 370
floating point 38, 123, 213, 209, 232, 283, 309, 396
floating point package 47
floor function 114
foreign numbers 44
FORMAL matrix package 173
four fours problem 24.5
Fourier transform 144
fractal dragons 320.18
fractals 145, 149, 152, 320
fractional part 342
Frame formula 56.2, 56.4
fuzzy sets 323
Galois theory 108.2
games 101
GAMES magazine 230
Gauss 372
generating functions 61.2
geometric duality 90
geometric constructions 227, 228
geometry problems 103-107, 118, 286
geometry problems, unsolved 287
Godel Escher Bach 295
Golomb rulers 382
GOTO-less programming 5.1
graph theory 53, 157, 160, 198, 239, 326
group theory 143, 218, 272, 390
guess a number 6, 110
HAKMEM 162.6, 211, 232
Hamming code 6.3, 6.5
handshaking 18
harmonic series 52
Heronian triangles 70, 282, 343, 344
hole in Earth 299
homogeneous coordinates 165.5
Hopf's conjecture 180
hora synchronization 303
horizon calculation 56.3
Huxtable braintease 196
hypercube 280
IBM format floating pt nos. 123
I don't know 217, 270
IEEE floating point standard 38, 396
IEEE library 36
IMSL 60, 74, 169.2
incenter 131
index 100.1, 200.1, 400.1
induction 293
infinite numbers 338
infinity lemma 335
integer sequences 93
integrals 25, 86
interest calculations 56
inverters problem 68
iterated sums of digits 109
IXP 28, 177.5
i^i 32
Jackson design methodology 190
job scheduling 75.6
Johnson's algorithm 58.3
jokes about mathematicians 189
Joy of TeX 43
k-subset 5
Kahchian algorithm 185.4
Karmarker algorithm 185, 207
knapsack problems 377
Knuth 342
Langford sequences 138
lattice points 22, 31.6, 351
league scheduling 75
least squares 153
liars 176
life, game of 101
Limpel-Ziv compression 336
linear algebra 306
linear congruential methods 242.3
linear programming 169, 185
LINPAK 60, 370
LISP 57.5
LN01 13.1
Loch Ness Monster 149
logic problems 113, 125, 176, 196, 217, 230, 270
loop invariants 170
MACSYMA 15, 117, 279, 364, 395
Mandelbrot sets 320
MAPLE 158, 279
marathon 223
marbles 308
MASS-11 15
math package 60, 126, 150, 172, 302
matrices 263, 267
matrix multiplication 236, 296
matrix package 126, 150, 173
memory, interleaved 341
Merten's conjecture 39
microvaxen 96
minimization 153.2
MINPACK 370
models 231
modulo problem 66
Moebius transformation 302.5
monkey problem 122
Morley's theorem 20.3
most-likely vector 148
most wanted factorizations 51.6
MP 26, 92.17
MPSET 26.2
multiperfect numbers 128
multiprecision package 28, 181
multiplication table 349
muMATH 15
murder mystery 113
N-clusters 41
n-gons 302.6, 311
n-tuples 258, 271.3
NAG 60
non-commutative multiplication 289.1
non-linear recursions 135
non-procedural programming 8.4
nots, two 68, 211
NOVA 229
NSA 16.6
number patterns 271
number theory, miscellaneous 115, 218, 353
number theory and geometry 345
number systems 23
obituaries 331
olympiad 308
OMNI 251, 260, 261, 262
ordered pairs 350
orthocenter 131
overlapping operands 127
palindromic primes 178
palindromic sequences 95
pangrams 156
parties 297
partitions 5
partitions, balanced 9
passwords 205
Pell equation 57
pendulum curves 319
pennies 233
pentagon 119
perfect numbers 128
periodic recurrences 135
permanent 5, 387
permutations 5, 58, 66.5, 111, 240, 247, 304.6, 326, 354,
360, 366
Pert graphs 198
phi function (Euler's) 342, 346
physics problems 175, 299.1, 383
pi, 10000 digits 92.8
pi, approximation 37
pi, calculation of 92
pi poems 163
PICOMATH 15
pistachio nuts 298
pizza 17
planarity 239
platonic solids 90
plotting primes 154
point symmetric graphs 53
points in plane 147
points on a line segment 202
Pollard's rho method 81.6
polyhedra 179, 214, 215
polynomials 281
polysnake 102
polytopes 90.1, 280
pothole 299
power series 216
powers 29
powers mod M 66
powers, fourth 361
powers of 3 352
PRESS 288
pretty theorems 20
price interchange 222
prime plots 154
prime plus power of 2 64
prime producers 10
primes, 333...3, etc. 21, 208
primes, A.P. 4
primes, alleged generation of 16
primes, Mersenne 2, 51, 334
primes, miscellaneous 329, 348
primes, palindromic 178
primes, probable 21.1
primes, repunit 378
probability 307
probability, conditional 63
PROLOG 125, 288
PRO software 238
probability 298
public domain software 370
public key encryption 235
publishing at DEC 124
pursuit problems 159
Pythagorean triangles 273
quacks 16.2
QUADPACK 370
queens, non-attacking 33
radix representation 67.6
Ramanujan pairs 347
Ramsey theory 54
random bits 191
random numbers 81.5, 242.3
random variables 63.1
rate problems 381
reciprocals, algorithm for 87
rectangles 313, 314
recurrences 61.1, 135, 219
recursion for sqrt 2 67
recursive function 389
REDUCE 168, 368
regular expressions 190
reprints 137
repunits 49, 378
resilient functions 371
RFAs 328
riddles 163
Riemann Hypothesis 187
rifles 69
right triangles, solving 56.2, 56.4
RISK 97.3
road configurations 243
rods, colored, with numbers 166
role-playing 301
Rolle's theorem 182
rolling sphere 301
Roman numerals 12
roots of unity 302
rotations in space 165
round robin schedule 75.5
round off errors 162
RTL math LIBRARY 96
RTL math manual 80, 88, 188
rulers 382
rules 1
SAC-2 15
scales, balance 294
scales, spring 7
scheduling 75
science fiction 397
seminars 23, 35
semiregular polyhedra 91
sequences 140, 167, 248, 251-257, 269, 284
seven points in plane 147
shell sort 134
shift registers 242, 277.5
shipwrecked 176
SIAM 306
simulation 301
SISAL 236
SLATEC 60.1
SMP 15, 375
SNOBOL4 12, 111.4, 133.7
social activities 297
solid angles 179
sorting 134, 194
sphere 228
sphere packing 243.7
spheres, opposite of 62
spherical trigonometry 11
spiral of primes 154
Springer Verlag 296
SPSS 192
sqrt 2 67
square root of matrix 171
squares 358
squares in permutations 226
squares, inscribed 244, 245, 287
squares with 0's and 1's 133
squaring makes smaller 79
stairs 318
standards 396
STAT 77
stereographic projection 302.5
STR$DIVIDE 89
strange shapes 186
substring matching 277
sum of squares 78
sum of subsets 174
summation 59, 220, 333, 388
symbolic math 15, 117, 158, 168, 279, 288, 374, 375
symmetric polynomial 388.2
system III 74
table legs 245.10, 245.17, 245.18, 245.19
tan, calculation of 241
tangent circles 244
tangents to two circles 65
teachers 376
TECO macros 92.1
temperature conversion 56
test data 81
tetrahedron 11, 274, 385, 386, 391, 392
TeX 13, 43
TexBooks 13.2
three-body problem 16.1
tiling 339
TK!Solver 15
tower of Hanoi 8, 136
tower of Calcutta 136
train 316
trees 310
triangles 359, 384
trigonometric identities 71, 108
trigonometric sums 59
trigonometry 220, 393, 399
triples with same sum & product 112
Turing machine 322
turtle curves 152
Twilight Zone 397
typographical number theory 295
unimodular transformation 302.6
urn problems 191, 197
USENET 76, 161, 363
VAXIMA 15
vectors 148
velocity problem 299
volume 385, 391
welcome 1
what are the 2 numbers 78
word shifts 234
x^2+y^2+z^2 72
young mather 372
zebra puzzle 125
Zeno's paradox 159.10
Zeta function 3
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