| 1 |
1701 |
ordinals (ranking, shareable) |
| 2, 3, 5, 7, 15 |
1312 |
apply uniform function to each part |
| 4 |
2107 |
are x and y permutations of each other? |
| 5b, 296 |
1305 |
start indexes from lengths |
| 6, 14, 491, 492 |
1313 |
aggregate each part |
| 8, 9, 18, 19, 35, 38, 44 |
1705 |
sort x |
| 10, 51 |
1617 |
depth (rank) of an array |
| 11, 12, 31, 482 |
1714 |
mesh: merge x y z under control of g |
| 13, 17 |
1700 |
ordinals (ranking, all different) |
| 16 |
1713 |
merge x y by g |
| 20, 346 |
2127 |
is x a permutation? |
| 21 |
1311 |
rotate each part |
| 22, 336 |
505 |
first occurrence of minimum |
| 23, 330 |
504 |
first occurrence of maximum |
| 24 |
1807 |
median of x |
| 25 |
1911 |
double quotes |
| 26 |
2207 |
insert y "*" after "=" |
| 27 |
1332 |
insert 0 after indexes y |
| 28 |
1333 |
insert g copies of h after indexes y |
| 29 |
1334 |
insert g copies of h before indexes y |
| 30 |
1703 |
grade up x according to key y |
| 32 |
1708 |
sort ascending indexes x according to data y |
| 33 |
1707 |
sort rows of x on column y |
| 34 |
1702 |
choose grading direction |
| 36 |
1706 |
sort y on x |
| 37, 550, 553 |
1004 |
invert permutation |
| 39, 40 |
1310 |
reverse each part |
| 41, 280, 506 |
501 |
flags |
| 42, 43 |
1709 |
move flagged items to one end |
| 45 |
200 |
binary from integer |
| 46 |
700 |
formatted integers |
| 47 |
1400 |
polynomial with roots x |
| 48 |
1016 |
saddle-point indexes |
| 48a |
1017 |
flag row minimums |
| 48b |
1018 |
flag column maximums |
| 48c |
1019 |
flag minmaxs |
| 48e |
1020 |
row-column indexes of ravel-indexes y in matrix x |
| 49 |
202 |
hexadecimals from integers |
| 50 |
1005 |
connectivity list from connectivity matrix |
| 51 |
904 |
indexes of an array |
| 51b |
1501 |
shape of an array |
| 51 |
1618 |
shape of an array |
| 52, 59, 60 |
11001 |
truth table of order x |
| 53 |
204 |
decimal digits from integer |
| 54 |
205 |
integer in base y |
| 55 |
514 |
items of y in array x |
| 56 |
203 |
hexadecimals from decimal characters |
| 57 |
208 |
vector from date |
| 58 |
903 |
all pairs of til[x] and til[y] |
| 61 |
1215 |
cyclic counter |
| 62 |
142 |
integer and fractional parts of positive x |
| 63 |
206 |
integer in base 10 100 1000 |
| 64 |
707 |
time hh ss from integer hhmmss |
| 65 |
708 |
date yyyy/mm/dd from integer yyyymmdd |
| 66 |
1236 |
selection by encoded list |
| 67 |
1409 |
extrapolated value of abscissa x and ordinate y at g |
| 69, 227 |
1403 |
value of ascending polynomial coefficients y at points x |
| 70, 206, 327 |
2209 |
remove duplicate rows |
| 71 |
1006 |
connectivity matrix from connectivity list |
| 72 |
209 |
integer from date |
| 73, 266, 272, 298, 397, 428 |
1902 |
remove trailing blanks |
| 74 |
2001 |
days in month x of Gregorian year y |
| 75 |
207 |
integer from hexadecimal |
| 76, 275 |
1907 |
justify right |
| 77 |
400 |
present value of cash flows c at times t and discount rate d |
| 78, 95 |
210 |
number from string |
| 79, 217 |
517 |
last non-blank |
| 80, 522 |
905 |
scattered indexing |
| 81 |
906 |
raveled index from general index |
| 82 |
401 |
future value of cash flows |
| 84 |
201 |
integer from binary |
| 85, 519 |
2109 |
is matrix x antisymmetric? |
| 86, 520 |
2108 |
is matrix x symmetric? |
| 87 |
703 |
number of decimals |
| 88 |
1219 |
name variable according to x |
| 93 |
214 |
numbers from text matrix |
| 94 |
211 |
number from string, default y |
| 96, 115, 116, 117 |
300 |
case structure |
| 98 |
306 |
execute rows of character matrix |
| 99 |
215 |
numbers from evaluating rows of text matrix |
| 100 |
907 |
index an arbitrary-rank array |
| 101 |
307 |
sum numbers in character matrix |
| 104 |
2002 |
date in ascending format |
| 105 |
2003 |
current time of 12-hour clock |
| 106 |
702 |
leading zeros for positive integers in field width y |
| 107 |
2004 |
current date, American format |
| 111 |
701 |
count of format |
| 121 |
1222 |
y-shaped array of numbers from x[0] to x[1]-1 |
| 122 |
1220 |
y items selected with replacement from til x |
| 123 |
1221 |
y objects selected without replacement from til x |
| 123.1 |
1810 |
normal deviates from interval (0,1) |
| 124 |
1407 |
predicted values of exponential fit |
| 125 |
1405 |
predicted values of best linear fit (least squares) |
| 126 |
1408 |
G-degree polynomial fit of points (x,y) |
| 127 |
1406 |
coefficients of exponential fit of points (x,y) |
| 128 |
1404 |
coefficients of best linear fit of points (x,y) (least squares) |
| 129 |
806 |
arctangent y÷x |
| 131 |
807 |
complementary angle (arccos sin x) |
| 132 |
808 |
rotation matrix for angle x (in radians) counter-clockwise |
| 133 |
801 |
degrees from radians |
| 134 |
802 |
radians from degrees |
| 135 |
1002 |
number of permutations of n objects taken k at a time |
| 136, 1007 |
1012 |
Pascal’s triangle |
| 137 |
1026 |
Taylor series |
| 139 |
1000 |
Beta function |
| 142 |
1001 |
number of combinations of n objects taken k at a time |
| 143 |
509 |
distinct items |
| 144 |
710 |
histogram |
| 145 |
1214 |
count of x between endpoints (l,h) |
| 146 |
402 |
compound interest for principals y at percentages g for periods x |
| 147, 219 |
518 |
string x in string y |
| 148 |
1007 |
node matrix from connection matrix |
| 149 |
704 |
number of decimals, maximum y |
| 150 |
103 |
sum items grouped by y |
| 151 |
304 |
efficient execution of f x where x has repeated values |
| 152 |
1244 |
sum items of y by ordered codes g in x |
| 153 |
515 |
rows of y in in corresponding rows of x |
| 154, 422, 505 |
1228 |
range; nub; remove duplicates |
| 155 |
131 |
greatest common divisor |
| 156 |
1710 |
sort y by value into x classes |
| 157 |
1008 |
connection matrix from node matrix |
| 159, 214, 215, 311, 315, 316, 317, 324, 340, 341, 343, 347, 349, 352, 354, 358 |
2115 |
is range of x 1? |
| 160 |
1906 |
move blanks to end |
| 161 |
2110 |
is x upper triangular? |
| 162 |
2111 |
is x lower triangular? |
| 163 |
1401 |
polynomial product |
| 164, 468 |
130 |
divisors |
| 165, 540, 543 |
610 |
vector length x with 1s at y |
| 166 |
711 |
barchart of integer list |
| 167 |
614 |
1s preceded by 0s |
| 168 |
613 |
0s followed by 1s |
| 169, 172, 407 |
612 |
1s followed by 0s |
| 170 |
713 |
horizontal barchart, normalized to length y |
| 171 |
712 |
horizontal barchart of integers |
| 173 |
1712 |
assign x to one of y classes of width h, starting with g |
| 174 |
1218 |
move x into first quadrant |
| 175 |
138 |
primes to n |
| 177 |
1914 |
ordinal of word in x pointed at by y |
| 177 |
1915 |
find start of string x in string y |
| 178 |
1916 |
find first occurrence of string x in string y |
| 179 |
809 |
contour levels y at points with altitude x |
| 180 |
2117 |
are items in interval [y)? |
| 181 |
1711 |
which class of y x belongs to |
| 182 |
512 |
consecutive repeated items |
| 183 |
133 |
maximum table |
| 184, 412 |
2201 |
right-justify fields of length y to length g |
| 185, 276 |
2200 |
left-justify fields of length y to length g |
| 186 |
403 |
annuity coefficient for x periods at interest rate y% |
| 187 |
125 |
direct matrix product |
| 188 |
11015 |
Shur product |
| 189, 190 |
104 |
add vector to each row of matrix |
| 191 |
11016 |
Shur sum |
| 192, 193 |
105 |
add vector to each column of matrix |
| 195 |
11002 |
upper triangular matrix of order x |
| 196 |
11003 |
lower triangular matrix of order x |
| 197, 582 |
11004 |
identity matrix of order x |
| 198 |
11005 |
Hilbert matrix of order x |
| 199 |
119 |
multiplication table of order x |
| 200 |
1605 |
replicate a dimension of rank-3 array x y-fold |
| 201 |
901 |
y-wide sublists of x |
| 202, 249, 268 |
902 |
sublists of length y, starting at x |
| 203, 534, 594 |
1509 |
1-column matrix from vector |
| 204 |
114 |
numeric array and its negative |
| 205 |
2214 |
remove trailing blank rows |
| 207 |
513 |
rows of matrix y in matrix x |
| 209 |
2217 |
remove trailing blank columns |
| 210 |
2216 |
remove leading blank columns |
| 211 |
2213 |
remove leading blank rows |
| 213 |
1314 |
maximums of parts flagged by y |
| 216 |
2204 |
rows starting with y |
| 218, 220 |
2211 |
collapse whitespace |
| 221 |
2118 |
are items integers in interval [g,h)? |
| 222 |
1802 |
maximum of x with weights y |
| 223 |
1804 |
minimum of x with weights y |
| 224 |
11011 |
extend distance table to next leg |
| 225 |
2212 |
remove blank rows |
| 226 |
2215 |
remove blank columns |
| 228, 229, 232 |
2112 |
is y a row of x? |
| 230 |
11012 |
extend a transitive binary relation |
| 231 |
2205 |
rows with items different from y |
| 233 |
2119 |
are items in interval [ y )? |
| 234, 235 |
2120 |
are items in interval ( y ]? |
| 236, 362 |
1213 |
count occurrences of x in y |
| 237 |
1806 |
average (mean) of x weighted by y |
| 239 |
107 |
sum reciprocal series |
| 240 |
126 |
matrix product |
| 241 |
108 |
sum over subsets of x specified by y |
| 242, 246 |
109 |
sum squares |
| 243 |
127 |
dot product of vectors |
| 244 |
128 |
product over subsets of x specified by y |
| 245 |
1223 |
randomize the random seed |
| 247 |
616 |
interlace 1s and 0s |
| 248, 323, 393 |
1908 |
center text x in line of width y |
| 250, 251, 253 |
1606 |
replicate y x times |
| 252 |
617 |
alternate takes of 1s and 0s |
| 254 |
1323 |
running parity of parts flagged by y |
| 255 |
1318 |
running sums of parts flagged by y |
| 256, 292 |
1324 |
groups of 1s flagged by y |
| 257 |
1315 |
sums of parts with lengths y |
| 259 |
1904 |
remove leading and trailing blanks |
| 260 |
140 |
first 10 figurate numbers of order x |
| 261 |
633 |
first group of 1s |
| 262 |
1021 |
value of saddle point |
| 264, 271 |
1922 |
insert x[i] blanks after y[g[i]] |
| 265, 279 |
1325 |
insert 0s after each part |
| 267, 299 |
1903 |
remove leading blanks |
| 268, 270 |
2123 |
are items in ascending order? |
| 273, 274 |
1607 |
join atom to each list item |
| 277 |
1303 |
end flags from lengths |
| 278 |
1302 |
start flags from lengths |
| 281 |
1027 |
value of Taylor series with coefficients y at x |
| 282 |
516 |
first blank |
| 283 |
1320 |
find part y of parts beginning with first of x |
| 284 |
1316 |
sums of parts grouped by y |
| 285 |
1812 |
moving sum |
| 286 |
404 |
fifo stock y decremented with x units |
| 289 |
1326 |
or-scan of parts flagged by y |
| 290 |
1327 |
and-scan of parts flagged by y |
| 291 |
1317 |
sums of parts flagged by y |
| 293 |
1917 |
locate quotes and text between them |
| 294 |
1918 |
locate text between quotes |
| 295 |
1919 |
depth of parentheses |
| 297 |
1923 |
spread flagged field heads right |
| 300 |
1328 |
gth part flagged by y |
| 301 |
111 |
alternating sum series |
| 302 |
139 |
x first triangular numbers |
| 303 |
604 |
smearing 1s between pairs of 1s |
| 304 |
600 |
invert 0s after first 1 |
| 305 |
605 |
invert fields marked by pairs of 1s |
| 306 |
603 |
invert 1s after first 0 |
| 307 |
601 |
invert 1s after first 1 |
| 308 |
602 |
invert 0s after first 0 |
| 309 |
632 |
running parity |
| 310 |
1811 |
running sum |
| 312 |
1010 |
maximum separation of items of x |
| 313, 314 |
11014 |
value of two-by-two determinant |
| 318 |
805 |
area of triangle with sides x (Heron’s rule) |
| 319 |
1808 |
standard deviation |
| 320 |
1809 |
variance (dispersion) |
| 321 |
1410 |
y-th moment of x |
| 325, 326, 332, 364, 365 |
1805 |
average (mean) |
| 328 |
1611 |
count items count x |
| 329 |
618 |
flag positive integers |
| 331 |
147 |
identity for floating-point maximum, negative infinity |
| 333 |
2101 |
quick membership for non-negative integers |
| 334 |
1801 |
non-negative maximum max 0,x |
| 335 |
1800 |
maximum |
| 337 |
148 |
identity for floating point minimum, positive infinity |
| 338 |
503 |
first occurrence of y |
| 339 |
1803 |
minimum |
| 342 |
213 |
integer from Roman |
| 344 |
2106 |
pairwise match |
| 345 |
2100 |
do ranges of x and y match? |
| 348 |
2102 |
do x and y have items in common? |
| 350 |
2116 |
are items 1s and 0s only (boolean)? |
| 351 |
2103 |
is x a subset of y? |
| 353 |
2124 |
are items unique? |
| 355 |
626 |
none |
| 356 |
625 |
any |
| 357 |
2104 |
does x match y? |
| 359 |
519 |
blank rows |
| 360 |
624 |
all |
| 361 |
631 |
simple parity |
| 363 |
1015 |
quadraticsolution |
| 366 |
1612 |
count atoms |
| 367 |
124 |
alternating product |
| 368 |
118 |
product |
| 369 |
110 |
alternating sum |
| 370 |
619 |
count 1s |
| 371, 616 |
1502 |
atom from 1-item vector |
| 372 |
101 |
sum columns of matrix |
| 373 |
102 |
sum rows of matrix |
| 374 |
100 |
sum a vector |
| 375 |
1217 |
insert row x in matrix y after row g |
| 376 |
1608 |
append y at the bottom of matrix x |
| 377 |
1609 |
fill x to length y with x’s last item |
| 379 |
1227 |
remove leading, multiple and trailing ys from x |
| 380, 425 |
1205 |
replace items of x with value y[0] with y[1] |
| 381 |
606 |
invert all but first 1 in group of 1s |
| 382 |
1216 |
insert x in y after index g |
| 383, 420 |
116 |
pairwise difference |
| 384 |
1237 |
drop first, suffix 0 |
| 385 |
1238 |
drop last, prefix 0 |
| 386 |
1239 |
shift x right y, fill 0 |
| 387 |
1240 |
shift x left y, fill 0 |
| 388, 444 |
1620 |
drop first y rows from top of matrix x |
| 389 |
1704 |
playing order of x ranked players |
| 390 |
1600 |
conform table x rows to list y |
| 391 |
1601 |
conform table x columns to list y |
| 392, 402 |
1506 |
1-row matrix from atom or vector |
| 396 |
1624 |
remove columns y from x |
| 398 |
11008 |
diagonals from columns |
| 399 |
11009 |
columns from diagonals |
| 401 |
1920 |
first word in string x |
| 404 |
1308 |
end indexes for x fields of length y |
| 405 |
1307 |
start indexes for x fields of length y |
| 406 |
106 |
add x to last item of y |
| 408, 513 |
11006 |
empty row to start matrix of x columns |
| 410, 445, 600 |
1615 |
count columns in matrix x |
| 411, 446 |
1614 |
count rows in matrix x |
| 414 |
1306 |
end indexes from lengths |
| 415 |
620 |
lengths of groups of 1 |
| 417 |
1322 |
end indexes of equal-item parts |
| 418 |
1321 |
start indexes of equal-item parts |
| 419 |
132 |
pairwise ratios |
| 423 |
1309 |
lengths from start indexes |
| 424 |
1905 |
collapse multiple blanks |
| 426 |
2202 |
collapse multiple occurrences |
| 429 |
1513 |
matrix with diagonal x |
| 430 |
1402 |
polynomial derivative |
| 431 |
2126 |
does item differ from next one? |
| 432 |
1206 |
replace first item of x with y |
| 432 |
2125 |
does item differ from previous one? |
| 433 |
1207 |
replace last item of x with y |
| 437 |
1912 |
remove leading zeros |
| 438 |
622 |
first 1 after index y |
| 439 |
635 |
last 1s in groups of 1s |
| 440 |
634 |
first 1s in groups of 1s |
| 441, 613 |
2203 |
comma-separated list from matrix |
| 442 |
115 |
first difference |
| 443 |
1621 |
drop first y columns from matrix x |
| 447 |
1622 |
conditional drop of y items from list x |
| 448 |
1623 |
conditional drop of last item of list x |
| 449 |
1208 |
limiting x between l and h, inclusive |
| 450 |
1211 |
arithmetic precision of system in decimals |
| 451 |
137 |
arithmetic progression from x to y with step g |
| 452, 455 |
706 |
number of positions in integer |
| 453 |
409 |
round to nearest even integer |
| 454 |
410 |
round, but to nearest even integer if fractional part is 0.5 |
| 456 |
705 |
number of positions in nonnegative integer |
| 457 |
2113 |
are items integral? |
| 459 |
145 |
leading digit of numeric code abbb |
| 460 |
408 |
round y to x decimals |
| 461 |
407 |
round to two decimal places |
| 462 |
406 |
round to nearest integer |
| 463 |
2000 |
is year x a leap year? |
| 464 |
2206 |
frame character matrix |
| 465 |
143 |
magnitude of fractional part |
| 466 |
1225 |
remove every y-th item of x |
| 467 |
1232 |
select every y-th item of y |
| 469 |
1226 |
remove every second item |
| 470 |
1233 |
items of x divisible by y |
| 471 |
506 |
first occurrence of g (circularly) after y |
| 473 |
2114 |
are items even? |
| 474 |
412 |
round x to zero if magnitude less than y |
| 475 |
112 |
increase absolute value without sign change |
| 476 |
144 |
fractional part with sign |
| 477 |
120 |
square x retaining sign |
| 478 |
141 |
fractional part |
| 479 |
146 |
last part of abbb |
| 480, 481, 483 |
1201 |
zero items of x not in y |
| 484 |
1229 |
right to left scan |
| 485 |
2218 |
append empty row |
| 487 |
2219 |
insert empty row after row y |
| 489 |
2208 |
matrix from string at parts flagged by x |
| 490, 580 |
1909 |
insert spaces in text |
| 493 |
301 |
choose x or y depending on flag g |
| 495, 503 |
502 |
all occurrences of y in x |
| 496 |
1913 |
remove punctuation characters |
| 497 |
1022 |
set union |
| 498 |
1023 |
set difference |
| 499 |
520 |
rows starting with item of y |
| 500 |
1024 |
set intersection |
| 504 |
1204 |
replace items of y flagged by x with g |
| 507 |
1921 |
insert blank in y after flag in x |
| 508 |
1910 |
conditional text |
| 509 |
1224 |
remove y from x |
| 510 |
1901 |
remove blanks |
| 511 |
1210 |
apply f over all of x |
| 512 |
636 |
select items flagged by y |
| 514 |
11000 |
apply to dimension 1 function defined on dimension 0 |
| 516 |
121 |
multiply each column by vector |
| 518 |
1625 |
transpose matrix x on condition y |
| 521 |
1512 |
x-column matrix from vector y |
| 525, 526 |
11007 |
main diagonal |
| 527 |
1626 |
transpose planes of three-dimensional x |
| 528 |
123 |
vector (cross) product |
| 529 |
609 |
flags at y for vector x |
| 530, 531 |
507 |
last occurrence of y |
| 532 |
508 |
last occurrence of y, counted from the rear |
| 533 |
302 |
reverse on condition y |
| 535 |
1212 |
avoid parentheses using reverse |
| 536 |
1241 |
rotate rows left |
| 537 |
1242 |
rotate rows right |
| 538 |
607 |
insert 0 in list of 1s x after indexes y |
| 539 |
611 |
vector length y with 0s at x |
| 544 |
2105 |
do x and y match? |
| 545 |
1202 |
zero items of x not in y |
| 546 |
2128 |
is count of atoms 1? |
| 547 |
2129 |
is x a vector? |
| 548 |
2130 |
is x empty? |
| 549 |
1900 |
alphabetic comparison |
| 551 |
510 |
first differing item of x and y |
| 552 |
511 |
items not in y |
| 554 |
1234 |
select from g based on index of x in y |
| 555 |
1619 |
all axes of rectangular array x |
| 556 |
900 |
all indexes of vector x |
| 557 |
136 |
arithmetic progression of y numbers from x with step g |
| 558 |
135 |
consecutive integers from x to y |
| 559 |
621 |
first 1 in x |
| 561 |
212 |
numeric codes from string |
| 562 |
500 |
y in x |
| 563 |
1602 |
empty vector |
| 564 |
2121 |
are items in interval ( y[0],y[1] ) |
| 565 |
2122 |
are items in interval [ y[0],y[1] |
| 566, 624 |
608 |
zero all items |
| 567 |
1235 |
select x or y depending on g |
| 569 |
1203 |
replace items of y flagged by x with 1 |
| 570 |
627 |
x implies y |
| 571 |
628 |
x but not y |
| 572 |
129 |
divide by 0 |
| 573 |
629 |
exclusive or |
| 574 |
1230 |
y where x is 0 |
| 575 |
630 |
Kronecker deltax=y |
| 576 |
1331 |
prepend y items of g to each item of x |
| 577 |
1330 |
append y items g to each item of x |
| 578 |
1715 |
merge items from x and y alternately |
| 579 |
2210 |
variable length lines |
| 581 |
1329 |
insert y after each item of x |
| 583, 621 |
113 |
vector and its negative |
| 587 |
11013 |
first column as a matrix |
| 588 |
1507 |
2-row matrix from two vectors |
| 589 |
1510 |
2-column matrix from two vectors |
| 590 |
1514 |
increase rank of y to rank of x |
| 591 |
1511 |
2-column matrix from vector |
| 592 |
1503 |
vector from array |
| 593 |
1508 |
y-row matrix from vector x |
| 595 |
1505 |
1-row matrix from vector |
| 599 |
1616 |
count columns in array x |
| 602 |
1231 |
select from y according to sign of x |
| 603 |
303 |
conditional change of sign |
| 605 |
709 |
indexing plotting characters with flags |
| 607 |
1504 |
vector from column y of matrix |
| 608 |
117 |
zeroing an array |
| 610 |
1603 |
y cyclic repetitions of vector x |
| 611 |
122 |
multiply each row by vector |
| 612 |
1500 |
rank of an array (number of dimensions) |
| 614 |
1604 |
array with shape of y and x as its rows |
| 615 |
1613 |
first atom in x |
| 622 |
1200 |
zero items of x not flagged by y |
| 623 |
1209 |
change sign of y where x is 1 |
| 629 |
305 |
error to stop execution |
| 1001 |
405 |
payback |
| 1002 |
413 |
round summands |
| 1003 |
1319 |
maximum sum of parts |
| 1004 |
1025 |
range union |
| 1005 |
1013 |
pointer chasing |
| 1006 |
1011 |
partitions of y with no part less than x |
| 1008 |
1014 |
polygon area |
| 1009 |
804 |
great circle distance |
| 1010 |
803 |
nautical miles from radians |
| 1011 |
800 |
degrees from degrees and minutes |
| 1012 |
1009 |
first y Fibonacci numbers |
| 1013 |
1627 |
tree from depth;value |
| 1014 |
1628 |
depth from tree |
| 1015 |
1629 |
value from tree |
| 1016 |
1243 |
streak of numbers with same sign |
| 1017 |
1003 |
permutations |