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Power-Programmierung
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CD1.mdf
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apl
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cap
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helptab.txt
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1992-03-07
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8KB
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232 lines
! quote dot symbol, binomial and factorial
! binomial, 3!5 is 10
! factorial, !5 is 120
" cap null symbol, comment
" comment
# left arrow symbol, specification, assignment
# specification, a#1 2 3
# assignment, a#1 2 3
$ right arrow symbol, branch
$ branch, $0
% divide symbol, divide and reciprocal
% divide, 2%3.2 is 0.625
% reciprocal, %4 is 0.25
& and, 0 0 1 1 & 0 1 0 1 is 0 0 0 1
' quote, 'abc'
( left parenthesis, (12%3)X2 is 8, 12%3X2 is 2
) right parenthesis
) )clear, empties workspace
) )copy wsid, copies all objects from named workspace
) )copy wsid names, copies specified objects
) )drop wsid, delete named workspace
) )erase names, erases objects in workspace
) )fns [alphabetic] list defined functions
) )group name names, gathers objects into a group
) )grp name, list members of named group
) )grps [alphabetic], list groups
) )lib [alphabetic[, list workspace names
) )load wsid, load named workspace into memory
) )off, end use of apl
) )pcopy wsid, copies all objects without matching names
) )pcopy wsid names, copies specified objects w/o matching names
) )read fileid, reads file into character matrix named 'file'
) )run fileid, executes APL expressions in named file
) )save [wsid], save workspace to named file.
) )si, list halted functions
) )sinl, list halted functions and local names
) )vars [alphabetic] list variables
) )write fileid, writes character matrix named 'file' to file
) )wsid [wsid], assign or list workspace name
* star symbol, exponential and power
* exponential, *1 2 is 2.7183 7.3891
* power, 2*3 is 8
+ plus symbol, plus and conjugate
+ plus, 2+3 is 5
+ conjugate, +4 is 4
, comma symbol, catenate, laminate, ravel
, catenate, 2 3 , 4 5 is 2 3 4 5
, laminate, 1 2,[.5]3 4 is 2 2RI4
, ravel, (,2 2RI4) is 1 2 3 4
- overbar, negative numbers, -5
. dot symbol, inner product, outer product
. inner product (2 2RI4)+.X2 2RI4 is 2 2R7 10 15 22
. outer product 1 2J.XI3 is 2 3R1 2 3 2 4 6
/ slash symbol, compress and reduction
/ compress, 1 0 1/I3 is 1 3
/ reduction, +/I3 is 6
0 digit zero
1 digit one
2 digit two
3 digit three
4 digit four
5 digit five
6 digit six
7 digit seven
8 digit eight
9 digit nine
: colon (labels)
; semicolon symbol
; indexing, (2 2RI4)[2;2] is 4
< less, 3 5<5 3 is 1 0
= equal 3 5=1 5 is 0 1
> greater, 3 5>5 3 is 0 1
? query symbol, deal, roll
? deal, w?y is random deal of w elements from Iy
? roll ?y is random selection from Iy
@ log symbol, general logarithm, natural logarithm
@ general logarithm, a@b is log b base a
@ natural logarithm, @2 is .6931471806
A delta stile symbol, grade up
A grade up, A3 5 3 2 is 4 1 3 2
B base symbol, decode
B decode, 10B1 7 7 6 is 1776
C base null symbol, execute
C execute, C'1+2' is 3
D downstile symbol, floor, minimum
D floor, D2.718 is 2
D minimum, 2D3 is 2
E epsilon symbol, membership
E membership, 'abcdefgh'E'coffee' is 0 0 1 0 1 0 0
F top null symbol, format
F format, 5 3F1%3 is 0.333
G del symbol (function editing)
H delta symbol (function editing, ok in names)
I iota symbol, index generator, index of
I index generator, I5 is 1 2 3 4 5
I index of, 'abc 'I'b c a' is 2 4 3 4 1
J null symbol, inner product, outer product
J inner product, (2 2RI4)+.X2 2RI4 is 2 2R7 10 15 22
J outer product, 1 2J.XI3 is 2 3R1 2 3 2 4 6
K not greater, 1 2 3 K 2 is 1 1 0
K less than or equal, 1 2 3 K 2 is 1 1 0
L quad symbol (input/output)
Lav atomic vector, 256-element character vector, all possible characters
Lcr a, canonical representation of defined function named in a
Lct comparison tolerance, default 1e-13
Lex a, expunge objects named by rows of a
Lfx a, fix defined function represented by a
Lio index origin, either 0 or 1
Llx latent expression, executed automatically when workspace loaded.
Lnc a, returns numerical classification of objects named by rows of a
Lnl n, returns character matrix of names with classifications in n
M domino symbol, matrix divide, matrix inverse
M matrix divide, M2 2R5 0 0 2 is 2 2R.2 0 0 .5
M matrix inverse, M2 2R5 0 0 2 is 2 2R.2 0 0 .5
N top symbol, encode
N encode, 10N1776 is 1 7 7 6
O circle symbol, circular, hyperbolic, pi times, pythagorean
O circular
O hyperbolic
O pi times, O 1 2 is 3.14159 6.28319
O pythagorean, 4Ox is (1+x*2)*.5
P nand, 0 0 1 1 P 0 1 0 1 is 1 1 1 0
Q quote-quad (character input)
R rho symbol, reshape, shape
R reshape, 2 2RI4 is 2-by-2 matrix of 1 2 3 4
R shape, R2 2RI4 is 2 2
S upstile symbol, ceiling, maximum
S ceiling, S-3.14 3.14 is -3 4
S maximum, 2S3 is 3
T circle slope symbol, transpose
T transpose, T2 2RI4 is 2 2R1 3 2 4
U down arrow symbol, drop
U drop, 1U'abc' is 'bc'
V or, 0 0 1 1 V 0 1 0 1 is 0 1 1 1
W del stile symbol, grade down
W grade down, A3 5 3 2 is 2 1 3 4
X times symbol, times, signum
X times, 2X3 is 6
X signum, X-3 0 4 is -1 0 1
Y up arrow symbol, take
Y take, 2Y'abc' is 'ab'
Z not less 1 2 3 Z 2 is 0 1 1
Z greater than or equal, 1 2 3 Z 2 is 0 1 1
[ bracket, left (axis, indexing)
\ slope symbol, expand, scan
\ expand 1 0 1 \ 'ab' is 'a b'
\ scan +\1 2 3 is 1 3 6
] bracket, right (axis, indexing)
^= not equal 1 2 3^=2 is 0 1 0
_ bar symbol, minus, negative
_ minus, 1_2 is -1
_ negative, _1 -2 3 is -1 2 -3
`/ slash bar symbol, compress, reduction
`/ compress, 1 0 1`/3 3R'abcdefghi' is 2 3R'abcghi'
`/ reduction, +`/3 4RI12 is 15 18 21 24
`1 dieresis symbol
`A alpha symbol
`C cap symbol
`G del tilde symbol
`I i-beam symbol
`O circle stile symbol, reverse, rotate
`O reverse, `O2 3RI6 is 2 3R3 2 1 6 5 4
`O rotate, 1 2`O2 3RI6 is 2 3R2 3 1 6 4 5
`R circle bar symbol, reverse
`R reverse, `R2 3RI6 is 2 3R4 5 6 1 2 3
`U cup symbol
`V nor, 0 0 1 1 V 0 1 0 1 is 1 0 0 0
`W omega symbol
`X shoe, right, symbol
`Z shoe, left, symbol
`\ slope bar symbol, expand, scan
`\ expand, 1 0 1`\2 2RI4 is 3 2R1 2 0 0 3 4
`\ scan, +`\2 3RI6 is 2 3 R 1 2 3 5 7 9
`a alphabetic a underscored
`b alphabetic b underscored
`c alphabetic c underscored
`d alphabetic d underscored
`e alphabetic e underscored
`f alphabetic f underscored
`g alphabetic g underscored
`h alphabetic h underscored
`i alphabetic i underscored
`j alphabetic j underscored
`k alphabetic k underscored
`l alphabetic l underscored
`m alphabetic m underscored
`n alphabetic n underscored
`o alphabetic o underscored
`p alphabetic p underscored
`q alphabetic q underscored
`r alphabetic r underscored
`s alphabetic s underscored
`t alphabetic t underscored
`u alphabetic u underscored
`v alphabetic v underscored
`w alphabetic w underscored
`x alphabetic x underscored
`y alphabetic y underscored
`z alphabetic z underscored
a alphabetic a
b alphabetic b
c alphabetic c
d alphabetic d
e alphabetic e
f alphabetic f
g alphabetic g
h alphabetic h
i alphabetic i
j alphabetic j
k alphabetic k
l alphabetic l
m alphabetic m
n alphabetic n
o alphabetic o
p alphabetic p
q alphabetic q
r alphabetic r
s alphabetic s
t alphabetic t
u alphabetic u
v alphabetic v
w alphabetic w
x alphabetic x
y alphabetic y
z alphabetic z
{ left brace symbol (not used)
| stile symbol, magnitude, residue
| magnitude, |-3 0 4 is 3 0 4
| residue, 1|2.385 is 0.385
} right brace symbol (not used)
~ tilde (not), ~0 1 is 1 0