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 |