all powersets

table.tsv

@@ -1503,17 +1503,17 @@ Mv+.×⍥((⊢÷2*∘÷⍨+.×⍨)⊢-+⌿÷≢)Nv	Sample Pearson correlation co
 {1∊⍵:-⎕TRAP←0 'C' '2 ⎕NQ ⎕SE''KeyPress'' ''TC''' ⋄ shy←0}B	Stop on the current line if any condition is met	Tacit	Monadic Function		System	⎕stop halt breakpoint break-point debug here statement stopif haltif		
 (⊃÷¯2÷2∘⊃-¯1 1×2*∘÷⍨(×⍨2∘⊃)-(×/4@2))Nv	Solutions of quadratic equation Nv₁x²+Nv₂x+Nv₃=0	Tacit	Monadic Function		Mathematical	coefficients f(x)=ax²+bx+c=0 f(x)=ax^2+bx+c=0		
 As{((¯1*⊃)×2⊥⊃≠,)⊖⍣⍺⊢(8÷⍨≢⍵)8⍴⍵}Bv	Convert bits Bv representing a signed integer of As-endianess (0:big, 1:little) into a number	Tacit	Dyadic Function		Data Conversion	⎕DR 163 16-bit 323 32-bit 643 64-bit 1283 128-bit 2563 256-bit 5123 512-bit 10243 1024-bit 645 1287 sint big-endian little-endian be le to-float	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFao1NA6tN9R61NWseXi60aOupUDWo84FOpqPuqY96l38qHfXo65FGhaHtz/qXfGoc9Gj3q2aFo96twDpWgUzk0dtEw0VDLmoYlodzLj//wE	
-('⎕THIS'{'t'⎕NS⍺⊣t←⍵}∘⍎⍨⊢⊣⎕SHADOW⍤{⍵.⎕NL-⍳9})Ys	Unpack members of namespace Ys to the current namespace, localising those names in the process	Tacit	Monadic Function		System	destructure open import merge into here		
 '\\(u...)?.'⎕R{0⎕JSON'"',⍵.Match,'"'}Dv	Evaluate JSON-style escape sequences (like \n and \u000a)	Tacit	Monadic Function		Text	strings escapes characters charvector charvecs backspace bs \b horizontaltab ht \t linefeed lf \n formfeed ff \f carriagereturn cr \r crlf cr+lf \r\n string		
+('⎕THIS'{'t'⎕NS⍺⊣t←⍵}∘⍎⍨⊢⊣⎕SHADOW⍤{⍵.⎕NL-⍳9})Ys	Unpack members of namespace Ys to the current namespace, localising those names in the process	Tacit	Monadic Function		System	destructure open import merge into here		
 ((∪∊⊆⍨(2⌷⍉201⌶⍬)['MINI_NAME' 'MINI_QUADVAR'⍳⍨3⌷⍉201⌶⍬]∊⍨∘∊200⌶)⎕NR)Dv	Global names used by tradfn/tradop Dv	Tacit	Monadic Function		System	globals unlocalised unlocalized un-localised un-localized not list find all identifiers symbols xref cross-reference	https://tio.run/##SyzI0U2pTMzJT////1FHu1t@vnVOfnJijvWjvqm@PgpcCkDa0/9R2wQDhUfdLQpgUSDPkEsBrAzIfNQ28VHv5vSc/KTEHC6gEVxANUBhBQ2NRx2rHnV0Pepqe9S7QsPoUc/2R72dRgaGj3q2Pepdoxmt7uvp5xnv5@jrqq4AYQeGOrqEOQapA80DajFG0xELMqx3xaOOGUCGkYEBUFQTaJdfkKaCOtDd6v//AwA	
 Is({⍵/⍨∧⌿2<⌿⍵}1+{(-⍺)↑⍳⍵}⊤∘⍳!×∘!⊣)Js	Numeric matrix of all unordered combinations of Is out of Js without replacement	Tacit	Dyadic Function		Mathematical	combinatorics selections list vector table remove removing erasing erase eliminate eliminating delete deleting		
 (,⊢⍤/⍨(⊢=⍴⍴⌈⌿)<\⍤,⍤∧⊢=∘⍉⌽∘⍴⍴⌊/)Nm	Value of saddle point	Tacit	Monadic Function		Mathematical			
 (⍉∘↑{(+/∨\' '≠⌽⍵)↑¨↓⍵}¨@(2=≢∘⍴¨))Yv	Convert inverted table to table (character data as matrices; remove trailing spaces)	Tacit	Monadic Function		Structural	matrix tables transforming transformation change changing into un-inverting un-inversion un-vertion unverting unversion unvertion removing erasing erase eliminate eliminating delete deleting	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXJCTWKn@qG@qc6R6Slpesfp/IPtR2wQFqJSCxqPezkcdMx61TazW0NZ/1LEiRl1B/VHngkc9ex/1btUEih9a8ahtMpBde2iFg4aR7aPORSD1vVsOrdDUVNAwUjABstUdkxQUnFNS09SBQoYKRkDSXMFY8/9/AA	
 Is(⊣|∘⊃{0=⍵:1 0 ⋄ (⍵∇⍵|⍺)+.×0 1,⍪1,-⌊⍺÷⍵}⍨)Js	Multiplicative inverse of Js modulo Is (fast)	Tacit	Dyadic Function		Mathematical	extended euclidean algorithm modular modulus modinv() invmod() numbertheory arithmetic		
 (1⌽'$^','\*' '\?' '\W'⎕R'.*' '.' '\\&')Dv	Convert globbing pattern to regex	Tacit	Monadic Function		Text	patterns wildcards characters filenames shell matching string regular expression regexp	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DB/17FVXiVPXUY/RUldQj7EHEeHqQOkgdT2QiB5IIEZNXVNBPTEp2d7evqKySi9FS/3/fwA	
 '&[^;]+;'⎕R{3⊃,⎕XML⍠'Whitespace' 'Preserve'⊢'<_>',⍵.Match,'</_>'}Dv	Evaluate XML-style escape sequences (like &#10; and &#x0a;)	Tacit	Monadic Function		Text	strings escapes characters charvector charvecs quote &quot; apostrophe &apos; less-than lessthan &lt; greater-than greaterthan &gt; ampersand &amp; string		
-('(?!\d)[\wÀ-ÖØ-Ýßà-öø-üþ∆⍙Ⓐ-Ⓩ]+'⎕S'&')Dv	Find all APL identifiers in Dv	Tacit	Monadic Function		Text	symbols names dyalog search for locate identify extract isolate valid legal allowed variable function operator label		https://help.dyalog.com/latest/#Language/Introduction/Variables/Names.htm
 '\\(u...|x..)?.'⎕R{0 ⎕JSON⍠'Dialect' 'JSON5'⊢'"',⍵.Match,'"'}Dv	Evaluate JS-style escape sequences (like \v and \x0a but not octal)	Tacit	Monadic Function		Text	javascript ecmascript es5 strings escapes characters charvector charvecs backspace bs \b horizontaltab ht \t linefeed lf \n formfeed ff \f carriagereturn cr \r crlf cr+lf \r\n string nullbyte zero \0 \x verticaltab		
+('(?!\d)[\wÀ-ÖØ-Ýßà-öø-üþ∆⍙Ⓐ-Ⓩ]+'⎕S'&')Dv	Find all APL identifiers in Dv	Tacit	Monadic Function		Text	symbols names dyalog search for locate identify extract isolate valid legal allowed variable function operator label		https://help.dyalog.com/latest/#Language/Introduction/Variables/Names.htm
 (⊃∘⊃({-⍺+.×⍨(+\-+/)@(∘.=⍨⍳∘≢)⍵×∘.≤⍨⍳≢⍵}/≢⍴⊂))Nm	Determinant of any square matrix	Tacit	Function		Mathematical	Bird'sMethod Bird'sAlgortihm det() |A| det(A) det(Nm) |Nm|		
 dfns.esh digits	Shell for Eide-number sums	Dfn	Function		Mathematical	Eidenumbers rationalnumber balancedternary hexadecimal REPL		https://dfns.dyalog.com/n_esh.htm
 TimeStamp←TieNo dfns.compidn CompNo	Component timestamp in IDN format	Dfn	Function		System			https://dfns.dyalog.com/n_compidn.htm
@@ -1939,6 +1939,7 @@ X{(⊃0⍴⊂)@(∊∘⍺)⊢⍵}Y	Replacing elements of Y in set X with prototy
 X{⍺⌿⍨~(⍳≢⍺)∊⍺⍳⍵}Y	Without (~) on major cells for any rank	Dfn	Dyadic Function		Sets	butnot except setdifference setsubtraction setminus higher high-rank any-rank highrank anyrank items elements remove removing erasing erase eliminate eliminating delete deleting		
 X{⍺⍪⍵⌿⍨(≢⍺)<⍺⍳⍵}Y	Union (∪) on major cells of any rank	Dfn	Dyadic Function		Sets	setor higher high-rank any-rank highrank anyrank items elements		
 {⍵⊂⍤⊢⌸⍥,⍨+/↑⍳⍴⍵}Ym	Extract the anti-diagonals of a matrix (without wrap-around) as vector of vectors	Dfn	Monadic Function		Structural	table SW-NE extract collect select		
+{⌿∘⍵¨↓⌽⍉2⊥⍣¯1⍳¯1+2*≢⍵}Y	Powerset: All subsets of Y, including the empty set (0⌿Y) but excluding Y itself	Dfn	Monadic Function		Sets	power-set all combinations	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH/Xsf9Qx41Hv1kMrHrVNftSz91Fvp9GjrqWPehcfWm/4qHczkNQ20nrUuQioplZB3dHJ2UWdi0zdxgpGj3q3qDsmOiU5J6v//w8A	
 Ms{r×+\⍵÷r←×\1@1⍴∘⍺≢⍵}Nv	Accumulate deposits Nv at rate Ms	Dfn	Dyadic Function		Mathematical	accumulationof		
 A{⍵∧s=⌈⍀⍺×s←+⍀2<⌿0⍪⍵}B	Trim groups of ones in B to begin only where first pointed to by a 1 in A	Dfn	Dyadic Function		Boolean/Logical	runs sequences chop limit indicated trues truths 1st contiguous		
 {--⌿(2,≢⍵)⍴⍋⍋⍪⍨⍵}Y	Count of occurrences of the cells of Y	Dfn	Monadic Function		Sets	tally selfcount items elements		
@@ -1957,6 +1958,7 @@ X{⍎⍵,'⍺'⍴⍨' '∧.=⍵}Dv	Execution of expression Dv with default value
 {0⎕NCREATE⍠'Unique'1⍨(739⌶0),'/',⍵}Dv	Create and tie temporary file with pattern Dv (returns tie number)	Dfn	Monadic Function		System	generate avoid clash os operating system Path.GetTempFileName	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRK8hRAVLUBkO/nHOTqGOL6qHeBemheZmFpqrrho94VGubGlo96thlo6qjrq@s86t1aq6Aer1eSW6DOBTXjUVczSLenn5s/0Lz//wE	
 {⍵⌷⍨⊂⍋{(⎕C⍵)⍵}¨⍵}Y	Sorting Y in case-insensitive alphabetical order	Dfn	Monadic Function		Text	up increasing caseinsensitive reordering ordering string		
 {(⎕SE.SALT.New'HttpCommand'('GET'⍵)).Run.Data}Dv	Download file from URL Dv	Dfn	Monadic Function		System	curl online internet http:// https:// wget fetch		
+{⌿∘⍵¨↓⌽⍉2⊥⍣¯1⊢⍳¯2+2*≢⍵}Y	Powerset: All subsets of Y, excluding the empty set (0⌿Y) and Y itself	Dfn	Monadic Function		Sets	power-set all combinations	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH/Xsf9Qx41Hv1kMrHrVNftSz91Fvp9GjrqWPehcfWm/4qGvRo97Nh9YbaRtpPeoEsrfWKqg7Ojm7qHORb4CxgtGj3i3qjolOSc7J6v//AwA	
 {⌿∘⍵¨↓⌽⍉2⊥⍣¯1⊢¯1+⍳2*≢⍵}Y	Powerset: All subsets of Y, including the empty set (0⌿Y) and Y itself	Dfn	Monadic Function		Sets	power-set all combinations	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH/Xsf9Qx41Hv1kMrHrVNftSz91Fvp9GjrqWPehcfWm/4qGsRkNR@1LvZSOtR5yKgsloFdUcnZxd1LvINMFYwetS7Rd0x0SnJOVn9/38A	
 Av{~≠\z\2≠/0,~⍵/⍨z←⍺≥⍵}Bv	Cumulative all-true (∧\) in each subvectors of Bv indicated by Av (fast ∊∧\¨Av⊂Bv)	Dfn	Dyafic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists scan separated separator delimiter		
 {(⊂⍋∊⍳∘≢¨⍵)⌷⊃⍪/⍵}Yv	Mesh major cells of elements of Yv	Dfn	Monadic Function		Structural	faro weave dovetail the technique zipper rippleshiffle riffleshuffle zipping merge merging interweave interweaving interleave interleaving shuffle shuffling meshing cyclically list high-rank higher-rank arrays	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqNR51NT3q7X7U0fWod/OjjhmPOhcdWvGod6vmo57tj7qaH/Wu0gfyahXUE5OS1YGaXNQdnZxdXN3UuUg1QcNEwehR7xb1xMSkpOTklBR1TQ0jiIijo5OTuub//wA	
@@ -1978,6 +1980,7 @@ Av{(⍺⌿⍵)∧a⌿1⊖a←⍺⌿⍨⍵≤⍺}Bv	All elements true (∧⌿) on
 Av{(⍺⌿⍵)≥a⌿1⊖a←⍺⌿⍨⍵∨⍺}Bv	Any element true (∨⌿) on each subvector of Bv partitioned by Av (fast ∨⌿¨Av⊂[1]Bv)	Dfn	Dyadic Function		Boolean/Logical	speed quick sub-vector cell item ∨/¨Av⊂[1]Bv		
 Ms{(+⌿(⍵*⍺)÷≢⍵)*÷⍺}N	Generalised mean	Dfn	Dyadic Function		Mathematical	x-mean xmean generalized power Hölder holder cubic		
 {⍵/⍨(⊢∨≠\)⍵=''''}Dv	Extract text (including quotes) in expression	Dfn	Monadic Function		Text	strings string		
+{⌿∘⍵¨↓⌽⍉2⊥⍣¯1⊢¯1+⍳¯1+2*≢⍵}Y	Powerset: All subsets of Y, excluding the empty set (0⌿Y) but including Y itself	Dfn	Monadic Function		Sets	power-set all combinations	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH/Xsf9Qx41Hv1kMrHrVNftSz91Fvp9GjrqWPehcfWm/4qGsRkNR@1LsZRBlpPepcBFRaq6Du6OTsos5FmSHGCkaPereoOyY6JTknq///DwA	
 {⍵⌽⍨-⌊2÷⍨+/∧\' '=⌽⍵}Dm	Centering flush left character array	Dfn	Monadic Function		Text	centre align string		
 Av{+⍀⍵-⍺⍀¯2-⌿0⍪⍺⌿+⍀¯1↓0⍪⍵}N	Cumulative sum (+⍀) in each subvector of N indicated by Av (fast ∊+\¨Av⊂Nv)	Dfn	Dyadic Function		Mathematical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows sums scan separated separator delimiter		
 Av{≠⍀⍵≠⍺⍀2≠⌿0⍪⍺⌿≠⍀¯1↓0⍪⍵}B	Running parity (≠⍀) in each subvector of B indicated by Av (fast ∊≠\¨Av⊂Bv)	Dfn	Dyadic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows parities scan separated separator delimiter