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abrudz committed Jul 30, 2024
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Expand Up @@ -18,9 +18,9 @@ M×N Probabilistic AND Primitive Dyadic Function Mathematical fuzzy probability
Mm×Nm Hadamard product of Mm and Nm Primitive Dyadic Function Mathematical cross times multiplication ○ ⊙ element-wise entrywise Schur matrix matrices https://tio.run/##SyzI0U2pTMzJT///31HhUdsEBSMF40e9WwwNFIwMdIwNFEwMdEwNFMwMuJyQZRWMdIwVTHRMFcy4HvVNBUk4KhyeruD0/z8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Multiply.htm
A×N Selecting elements satisfying condition A, others to 0 Primitive Dyadic Function Boolean/Logical zero cells items https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMgdAAjA9PVzAGMkyA2PT/fwA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Multiply.htm
M∨N Greatest Common Divisor of M and N Primitive Dyadic Function Mathematical gcd() gcf() factor hcf() highest gcm() measure hcd Caron hacek invertedcircumflex checkmark hachek wedge https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMTRUMFYwUzBUedaxQMAZxTBQM/v8HAA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Or%20Greatest%20Common%20Divisor.htm
A∨B Logical OR Primitive Dyadic Function Boolean/Logical gate disjunction vel alternation Caron hacek invertedcircumflex checkmark hachek Apq wedge https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHHCiANYhn@/w8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Or%20Greatest%20Common%20Divisor.htm
A∨B Logical OR Primitive Dyadic Function Boolean/Logical gate disjunction vel alternation Caron hacek invertedcircumflex checkmark hachek Apq wedge + || ∥ https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHHCiANYhn@/w8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Or%20Greatest%20Common%20Divisor.htm
M∧N Lowest Common Multiple of M and N Primitive Dyadic Function Mathematical least smallest lcm() denominator lcd() caret hat circumflex ^ https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMTRUMFYwUzBUedSxXMAZxTBQM/v8HAA https://help.dyalog.com/latest/#Language/Primitive%20Functions/And%20Lowest%20Common%20Multiple.htm
A∧B Logical AND Primitive Dyadic Function Boolean/Logical gate conjunction caret hat circumflex Kpq ^ https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHHciANYhn@/w8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/And%20Lowest%20Common%20Multiple.htm
A∧B Logical AND Primitive Dyadic Function Boolean/Logical gate conjunction caret hat circumflex Kpq ^ • ⋅ ∙ && https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHHciANYhn@/w8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/And%20Lowest%20Common%20Multiple.htm
⌈N Rounding up to integer Primitive Monadic Function Mathematical upstile roundup ceiling seiling up() ceil() https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XQoGOuZKBxaDyKNFQz@/wcA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Ceiling.htm
M⌈N Maximum of M and N Primitive Dyadic Function Mathematical most upstile greater larger max() bigger https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQM9QwVDq03UnjU06FgAWYb65n8/w8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Maximum.htm
⌊N Rounding down to integer Primitive Monadic Function Mathematical downstile rounddown down() floor() https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XQpGOuZKBxaDyKNFQz@/wcA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Floor.htm
Expand All @@ -42,18 +42,18 @@ A!N Selecting elements satisfying condition A, others to 1 Primitive Dyadic Func
?B Random real number between (0,1) if B=0 or ⎕IO if B=1 Primitive Monadic Function Mathematical questionmark roll randomfloat interrogationpoint query eroteme https://tio.run/##SyzI0U2pTMzJT///qHeugnNOZnK2wqPmuY/6tyqU5Cukp@alFiWWpCrkpZYr5JXmJqUWFf9/1Df1UdsEBXsFAwWD//8B https://help.dyalog.com/latest/#Language/Primitive%20Functions/Roll.htm
Is?Js Deal: Is random numbers between 1 and Js (without replacement) Primitive Dyadic Function Index Generation questionmark interrogationpoint query eroteme distinct cells elements indices 1…Js 1...Js ⍳Js https://tio.run/##SyzI0U2pTMzJT///qHeugnNOZnK2wqPmuY/6tyqU5Cukp@alFiWWpCrkpZYr5JXmJqUWFf9/1Df1UdsEBUNjBXsFU6P//wE https://help.dyalog.com/latest/#Language/Primitive%20Functions/Deal.htm
M<N Less Than Primitive Dyadic Function Comparison lt before precedes ≺ smaller lesser https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBVsFEyA9KH1hlxowkb//wMA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Less.htm
A<B Logical converse nonimplication Primitive Dyadic Function Boolean/Logical gate ⇍ ↚ Mpq cnimply https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB2AZIgmjD//8B https://help.dyalog.com/latest/#Language/Primitive%20Functions/Less.htm
A<B Logical converse nonimplication Primitive Dyadic Function Boolean/Logical gate ⇍ ↚ Mpq cnimply https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB2AZIgmjD//8B https://help.dyalog.com/latest/#Language/Primitive%20Functions/Less.htm
M≤N Less Than Or Equal To Primitive Dyadic Function Comparison before precedes ≦ smaller lesser same as https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBUedS5RMAGyDq035MKQMPr/HwA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Less%20Or%20Equal.htm
A≤B Logical implication Primitive Dyadic Function Boolean/Logical gate materialconditional materialconsequence implies implying materialimplication therefore ∴ ⇒ → Cpq https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHnEiANYhn@/w8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Less%20Or%20Equal.htm
A≤B Logical implication Primitive Dyadic Function Boolean/Logical gate materialconditional materialconsequence implies implying materialimplication therefore ∴ ⇒ → ⊃ ⥰ Ɔ Cpq https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHnEiANYhn@/w8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Less%20Or%20Equal.htm
X=Y Equal To Primitive Dyadic Function Comparison sameas === https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBVsFUyA9KH1hlxQYXWnxDwgVAfKqCeqw0TNQVxz9f//AQ https://help.dyalog.com/latest/#Language/Primitive%20Functions/Equal.htm
A=B Logical XNOR Primitive Dyadic Function Boolean/Logical gate materialbiconditional biimplication eqv nxor bothorneither exclusivenor materialequivalence ⇔ ↔  δ ẟ Kroneckerdelta iff logicalequivalence Epq doubleimplying both-or-neither https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB2BZIgmjD//8B https://help.dyalog.com/latest/#Language/Primitive%20Functions/Equal.htm
A=B Logical XNOR Primitive Dyadic Function Boolean/Logical gate materialbiconditional biimplication eqv nxor bothorneither exclusivenor materialequivalence ⇔ ↔  δ ẟ ≡ ∼ ~ ⫗ ⇄ ⊙ Kroneckerdelta iff logicalequivalence Epq Qpq doubleimplying both-or-neither https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB2BZIgmjD//8B https://help.dyalog.com/latest/#Language/Primitive%20Functions/Equal.htm
M≥N Greater Than Or Equal To Primitive Dyadic Function Comparison ge after follows ≧ larger same as succeeds https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBUedS5VMAGyDq035MKQMPr/HwA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Greater%20Or%20Equal.htm
A≥B Logical converse implication Primitive Dyadic Function Boolean/Logical gate because ∵ ⇐ ← if converseconditional Bpq reverseimplying cimply https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHnUiANYhn@/w8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Greater%20Or%20Equal.htm
A≥B Logical converse implication Primitive Dyadic Function Boolean/Logical gate because ∵ ⇐ ← ⊂ ⸦ C if converseconditional Bpq reverseimplying cimply https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHnUiANYhn@/w8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Greater%20Or%20Equal.htm
M>N Greater Than Primitive Dyadic Function Comparison gt after follows ≻ larger succeeds https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBXsFEyA9KH1hlxowkb//wMA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Greater.htm
A>B Logical nonimplication Primitive Dyadic Function Boolean/Logical gate abjunction ⇏ ↛ not butnot Lpq nimply https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB2A5IgmjD//8B https://help.dyalog.com/latest/#Language/Primitive%20Functions/Greater.htm
A>B Logical nonimplication Primitive Dyadic Function Boolean/Logical gate abjunction ⇏ ↛ not butnot Lpq nimply https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB2A5IgmjD//8B https://help.dyalog.com/latest/#Language/Primitive%20Functions/Greater.htm
≠Y Nub sieve: mask for major cells to leave the distinct (∪Y) Primitive Monadic Function Sets unique Boolean indication indicate first occurrences ⍧ items elements masking indicating nub-sieve nubsieve https://help.dyalog.com/latest/#Language/Primitive%20Functions/Unique%20Mask.htm
X≠Y Not Equal To Primitive Dyadic Function Comparison ne unequal differentfrom != <> /= https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBUedS5QMAGyDq035IJKqDsl5gGhOlhOPVEdJm4OETBX//8fAA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Not%20Equal.htm
A≠B Logical XOR Primitive Dyadic Function Boolean/Logical gate exclusivedisjunction eor exor ⊕ ⊻ ⇎ Jpq https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHnAiANYhn@/w8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Not%20Equal.htm
A≠B Logical XOR Primitive Dyadic Function Boolean/Logical gate exclusivedisjunction eor exor ⊕ ⊻ ⇎ ↮ ≢ ⊽ + ○ ∨∨ ^ ⩛ Jpq https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHnAiANYhn@/w8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Not%20Equal.htm
≡Y Depth: Maximum level of nesting in Y (negative if uneven) Primitive Monadic Function Array Properties equalunderbar https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedS5UMOdC4qgnJiWrIwtoGCoYaWoYK5hoYhc1/f8fAA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Depth.htm
X≡Y Match: 1 if X is identical to Y, else 0 Primitive Dyadic Function Sets testif equalunderbar identical? === equivalentto sameas https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUk9QV1FOBuEJd4VHnQiA/tUKdCyppCBYyVDD8/x8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Match.htm
≢Xm Number of rows in matrix Xm Primitive Monadic Function Array Properties count tally table https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFIwXjR71bHvVuNuN61DcVJPKoc5ECUBbO7d0C4v7/DwA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Tally.htm
Expand All @@ -77,7 +77,7 @@ M*N M raised to the power N Primitive Dyadic Function Mathematical star asteris
M⍟N Base-M logarithm of N Primitive Dyadic Function Mathematical logarithms logs circlestar starcircle splat log() log₁₀() https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFAwNFB71zlcwBrEMDP7/BwA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Logarithm.htm
○N pi times N Primitive Monadic Function Circular/Trigonometric pie archimedesconstant 3.141592653589793238462643383279503 π 𝜋 big large ring pythagorean https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQeTe9WMFAwVDD6/x8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Pi%20Times.htm
I○N Circular functions Primitive Dyadic Function Mathematical trigonometric hyperbolic complex imaginary arcus angle goniometric circle big large ring https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFR5N71YwUDDUMzU3MLc0M1Yw1jM0MTS1NDLngioxIqzEGLeS//8B https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
~B Logical inverse (NOT): 0=B Primitive Monadic Function Boolean/Logical gate tilde logicalnot logicalnegation logicalcomplement ¬ negate inverting https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTqFAwUDEH4/38A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Not.htm
~B Logical inverse (NOT): 0=B Primitive Monadic Function Boolean/Logical gate tilde logicalnot logicalnegation logicalcomplement ¬ !p Np p′ p' negate inverting https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTqFAwUDEH4/38A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Not.htm
Xv~Y Without: (~Xv∊Y)/Xv Primitive Dyadic Function Sets tilde butnot except setdifference setsubtraction setminus ∖ removing remove delete drop erasing erase eliminate eliminating deleting https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFQwVTIDYVKEOiA25oMLqiYnqCupJSUAiORnKAqqAiFRUqP//DwA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Excluding.htm
X f⍨Y Commute (C-combinator): same as Y f X Primitive Dyadic Function Monadic Operator Function Application Cardinal-bird switch tildediaeresis swap frown flip left and right arguments larg rarg args https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFB71blEw5kLmPupdoWD8/z8A https://help.dyalog.com/latest/#Language/Primitive%20Operators/Commute.htm
X f⍨Y Church Boolean Logical Inverse Primitive Dyadic Function Monadic Operator Mathematical ~ not logicalnot logicalnegation logicalcomplement ¬ negate inverting https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUS4pKU9UVHnUtVlBPS8wpTlXnwpB51LsCJvn/PwA https://help.dyalog.com/latest/#Language/Primitive%20Operators/Commute.htm
Expand All @@ -100,8 +100,8 @@ Av⌿Y Filtering major cells of Y according to mask Av Primitive Dyadic Function
f⌿Y Reduce First: f between all items of Y on first axis Primitive Monadic Function Monadic Operator Function Application right slashbar reducefirst foldfirst insertfirst inserting folding solidusbar columnwise f/[1] reducing major cells rows elements dimension 1st column-wise vertically down https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSSk/ahnvwJQ/v9/AA https://help.dyalog.com/latest/#Language/Primitive%20Operators/Reduce%20First.htm
X f⍤g Y Atop (B₁-combinator): f on the result of X g Y, that is, f X g Y Primitive Monadic Function Dyadic Operator Composition Blackbird-bird B1-combinator unary-binary ⎕U2364 pout ewok jotdiaeresis paw composewith functioncomposition upon https://help.dyalog.com/latest/#Language/Primitive%20Operators/Atop.htm
f⍤g Y Atop (B-combinator): f on the result of g on Y, that is, f g Y Primitive Monadic Function Dyadic Operator Composition Bluebird-bird unary-unary ⎕U2364 pout ewok jotdiaeresis circlediaeresis paw composewith ring functioncomposition upon https://help.dyalog.com/latest/#Language/Primitive%20Operators/Atop.htm
A⍱B Logical NOR Primitive Dyadic Function Boolean/Logical peirce'sarrow quine'sdagger ampheck neithernor jointdenial Xpq ⊽ neither-nor gate † https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHvRiANYhn@/w8A https://help.dyalog.com/latest/#Language/Symbols/Nor%20Symbol.htm
A⍲B Logical NAND Primitive Dyadic Function Boolean/Logical shefferstroke notand andtilde carettilde alternativedenial Dpq ⊼ gate https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHvJiANYhn@/w8A https://help.dyalog.com/latest/#Language/Symbols/Nand%20Symbol.htm
A⍱B Logical NOR Primitive Dyadic Function Boolean/Logical peirce'sarrow quine'sdagger ampheck neithernor jointdenial Xpq ⊽ neither-nor gate † https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHvRiANYhn@/w8A https://help.dyalog.com/latest/#Language/Symbols/Nor%20Symbol.htm
A⍲B Logical NAND Primitive Dyadic Function Boolean/Logical shefferstroke notand andtilde carettilde alternativedenial Dpq ⊼ ↑ ∼ ~ / gate https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHvJiANYhn@/w8A https://help.dyalog.com/latest/#Language/Symbols/Nand%20Symbol.htm
,Y Ravel: Reshape into a vector Primitive Monadic Function Structural comma flattening flattened flatten() raze razing list array https://tio.run/##SyzI0U2pTMzJT///P7k0KVXhUdsEBSMQfNS75VHvZguuR31TQWI6CiDp//8B https://help.dyalog.com/latest/#Language/Primitive%20Functions/Ravel.htm
X,Y Catenate: Join along last axis Primitive Dyadic Function Structural comma concatenate juxtapose horizontally dimension row-wise rowwise by connect join https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBV0FEwUTBXM/v8HAA https://help.dyalog.com/latest/#Language/Primitive%20Functions/Catenate%20Laminate.htm
Xm,Ys Append scalar to each row of matrix Primitive Dyadic Function Structural extend with next merge join concatenate rows table connect https://tio.run/##SyzI0U2pTMzJT///P7k0KVXhUdsEBSMFo0e9Wx71bjbhetQ3FSQCltJRsLT8/x8A https://help.dyalog.com/latest/#Language/Primitive%20Functions/Catenate%20Laminate.htm
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