Function index

Here is a table of symbols we have used and how to type them in TryAPL.

It might be useful to review this page as you are doing the read and write exercises in the next sections.

New functions

Set functions

Symbol	Name	Function (Monadic/Dyadic)	Key combination (Prefix)	Key combination (Tab)
`∪`	Down shoe	Unique / Union	`PREFIX` `V`	`u` `u` `Tab`
`∩`	Up shoe	Intersection	`PREFIX` `C`	`n` `n` `Tab`
`~`	Tilde	Without	`PREFIX` `T`	`~`

Nested arrays

Symbol	Name	Function (Monadic/Dyadic)	Key combination (Prefix)	Key combination (Tab)
`⊂`	Left shoe	Enclose	`PREFIX` `Z`	`(` `(` `Tab`
`≡`	Equal underbar	Depth	`PREFIX` `:`	`=` `=` `Tab`
`↑`	Up arrow	Mix	`PREFIX` `Y`	`^` `\|` `Tab`
`↓`	Down arrow	Split	`PREFIX` `U`	`v` `\|` `Tab`
`∊`	Epsilon	Enlist	`PREFIX` `E`	`e` `e` `Tab`
`¨`	Diaeresis	Each	`PREFIX` `1`	`:` `:` `Tab`

Choosing an axis

Symbol	Name	Function (Monadic/Dyadic)	Key combination (Prefix)	Key combination (Tab)
`⌿`	Slash bar	Reduce first	`PREFIX` `/`	`/` `-` `Tab`
`[]`	Brackets	Bracket axis	`[` `]`	`[` `]`
`⍤`	Jot diaeresis	Rank	`PREFIX` `Shift`+`J`	`o` `:` `Tab`
`⌷`	Squad	Index	`PREFIX` `Shift`+`L`	`[` `\|` `Tab`
`⍪`	Comma bar	Table / Catenate first	`PREFIX` `<`	`,` `-` `Tab`

Transposing and rotating

Symbol	Name	Function (Monadic/Dyadic)	Key combination (Prefix)	Key combination (Tab)
`⍉`	Circle backslash	Transpose / Reorder axes	`PREFIX` `^`	`O` `\` `Tab`
`⌽`	Circle stile	Reverse / Rotate	`PREFIX` `%`	`O` `\|` `Tab`
`⊖`	Circle bar	Reverse first / Rotate first	`PREFIX` `&`	`O` `-` `Tab`

Partitioning

Symbol	Name	Function (Monadic/Dyadic)	Key combination (Prefix)	Key combination (Tab)
`⊂`	Left shoe	Partitioned enclose	`PREFIX` `Z`	`(` `(` `Tab`
`⊆`	Left shoe underbar	Partition	`PREFIX` `Shift`+`Z`	`(` `_` `Tab`

System variables and constants

Name	Meaning
`⎕A`	The upper-case English alphabet, `'ABCDEFGHIJKLMNOPQRSTUVWXYZ'`
`⎕CT`	Comparison tolerance, from `0` (exact comparison) up to `2*¯32`
`⎕PP`	Print precision, the number of digits displayed
`⎕IO`	Index origin, either `1` (the default) or `0`

Old functions

Symbol	Name	Function (Monadic/Dyadic)	Key combination (Prefix)	Key combination (Tab)
`+`	Plus	Conjugate / Plus	`+`	`+`
`-`	Minus	Negate / Minus	`-`	`-`
`×`	Times	Direction / Times	`PREFIX` `-`	`x` `x` `Tab`
`÷`	Divide	Divide	`PREFIX` `=`	`:` `-` `Tab`
`*`	Star	Power	`*`	`*`
`¯`	High minus	Negative	`PREFIX` `2`	`-` `-` `Tab`
`⍝`	Lamp	Comment	`PREFIX` `,`	`o` `n` `Tab`
`←`	Assignment symbol	Assign	`PREFIX` `[`	`<` `-` `Tab`
`⎕`	Quad	Output	`PREFIX` `L`	`[` `]` `Tab`
`⍴`	Rho	Shape / Reshape	`PREFIX` `R`	`r` `r` `Tab`
`,`	Comma	Ravel / Catenate	`,`	`,`
`{}`	Braces	Dfn	`{` `}`	`{` `}`
`⍺`	Alpha	Left argument	`PREFIX` `A`	`a` `a` `Tab`
`⍵`	Omega	Right argument	`PREFIX` `W`	`w` `w` `Tab`
`⋄`	Diamond	Statement separator	`PREFIX` `	`<` `>` `Tab`
`⍬`	Zilde	Empty numeric vector	`PREFIX` `}`	`0` `~` `Tab`
`⌈`	Upstile	Ceiling / Maximum	`PREFIX` `S`	`7` `7` `Tab`
`⌊`	Downstile	Floor / Minimum	`PREFIX` `D`	`l` `l` `Tab`
`\|`	Stile	Magnitude / Residue	`PREFIX` `M`	`\|`
`∨`	Logical OR	Greatest common divisor, Or	`PREFIX` `9`	`v` `v` `Tab`
`∧`	Logical AND	Lowest common multiple, And	`PREFIX` `0`	`^` `^` `Tab`
`○`	Circle	Pi times / Circular	`PREFIX` `O`	`O` `O` `Tab`
`!`	Exclamation mark	Factorial / Binomial	`PREFIX` `_`	`!`
`=`	Equal	Equal to	`PREFIX` `5`	`=`
`≠`	Not equal	Not equal to	`PREFIX` `8`	`=` `/` `Tab`
`<`	Less than	Less than	`PREFIX` `3`	`<`
`≤`	Less than or equal to	Less than or equal to	`PREFIX` `4`	`<` `=` `Tab`
`>`	Greater than	Greater than	`PREFIX` `7`	`>`
`≥`	Greater than or equal to	Greater than or equal to	`PREFIX` `6`	`>` `=` `Tab`
`≡`	Equal underbar	Match	`PREFIX` `:`	`=` `=` `Tab`
`~`	Tilde	Not	`PREFIX` `T`	`~`
`⍲`	Up caret tilde	Nand	`PREFIX` `)`	`^` `~` `Tab`
`⍱`	Down caret tilde	Nor	`PREFIX` `(`	`v` `~` `Tab`
`∇`	Del	Recursion	`PREFIX` `G`	`V` `V` `Tab`
`:`	Colon	Guard	`:`	`:`
`⊣`	Left tack	Same / Left	`PREFIX` `\|`	`-` `\|` `Tab`
`⊢`	Right tack	Same / Right	`PREFIX` `\`	`\|` `-` `Tab`
`⍤`	Jot diaeresis	Atop	`PREFIX` `Shift`+`J`	`o` `:` `Tab`
`∘`	Jot	Bind	`PREFIX` `J`	`o` `o` `Tab`
`⍨`	Tilde diaeresis	Swap, Self	`PREFIX` `Shift`+`T`	`~` `:` `Tab`
`⍳`	Iota	Index generator / Index of	`PREFIX` `I`	`i` `i` `Tab`
`?`	Question mark	Roll / Deal	`PREFIX` `Q`	`?`
`/`	Slash	Replicate, Compress, Reduce	`/`	`/`
`\`	Backslash	Scan	`\`	`\`
`⍋`	Grade up	Grade up	`PREFIX` `$`	`A` `\|` `Tab`
`⍒`	Grade down	Grade down	`PREFIX` `#`	`V` `\|` `Tab`
`↑`	Up arrow	Take	`PREFIX` `Y`	`^` `\|` `Tab`
`↓`	Down arrow	Drop	`PREFIX` `U`	`v` `\|` `Tab`
`[]`	Brackets	Index	`[` `]`	`[` `]`
`⊃`	Right shoe	Pick	`PREFIX` `X`	`)` `)` `Tab`
`∊`	Epsilon	Member of	`PREFIX` `E`	`e` `e` `Tab`
`⍸`	Iota underbar	Where / Interval index	`PREFIX` `Shift`+`I`	`i` `_` `Tab`
`⍷`	Epsilon underbar	Find	`PREFIX` `Shift`+`E`	`e` `_` `Tab`
`⌸`	Quad equal	Key	`PREFIX` `Shift`+`K`	`[` `=` `Tab`