Elements

Click an element's link to see some examples (if any) as well as any additional information that isn't part of the official documentation.

Symbol	Name	Arity	Description
λ	Lambda	*	Open a lambda - λ...;
ƛ	Lambda Map	1	Open a mapping lambda - ƛ
¬	Logical Not	1	Return the inverse (negation) of the truthiness of an item.
∧	Logical And	2	Returns the first truthy argument if both are truthy, otherwise returns the first falsy argument.
⟑	Apply Lambda	1	Like a mapping lambda, but the results are evaluated immediately, instead of being lazily evaluated
∨	Logical Or	2	Returns the first truthy argument, otherwise the first falsy argument.
⟇	Remove at Index	2	Returns every item in a list except the item at the given index.
÷	Item Split	1	Pushes each item of the top of the stack onto the stack.
×	Asterisk Literal	0	the string "*" (asterisk)
«	Base Compressed String	0	Open/close a bijective base-255 compressed string - «...«
␤	Newline	NA	NOP
»	Base Compressed Number	0	Open/close a bijective base-255 compressed number - »...»
°	Complex Number Separator	NA	Separates the real and imaginary parts of a complex number
•	MultiCommand	2	Logarithm / Repeat Character / Capitalisation transfer
ß	Conditional Execute	1 + *	Executes element A if the top of the stack is truthy
†	Function Call	1	Calls a function / executes as python / number of distinct prime factors / vectorised not
€	Split On / Fill By Coordinates	2	Split a on b (works on lists and numbers as well) / Fill a matrix by calling a function with the lists of coordinates in the matrix.
½	Halve	1	Halves an item
∆	Mathematical Digraph	NA	Used for mathematical digraphs
ø	String Digraph	NA	Used for string-based digraphs
↔	Combinations/Remove/Fixed Point Collection	2	Does either combinations_with_replacement, removes items from a not in b, or applies a on b until the result stops changing (including the initial value).
¢	Infinite Replacement / Apply at Indices	3	Replace b in a with c until a does not change / Call a function on all elements at specified indices together and put that back in the list
⌐	Complement / Comma Split	1	1 - a if number, split by commas if string.
æ	Is Prime / Case Check	1	(a is prime) if a is a number, else check which case a is
ʀ	Inclusive Zero Range	1	Inclusive range or whether each character is alphabetical
ʁ	Exclusive Zero Range	1	Exclusive range or palindromise
ɾ	Inclusive One Range	1	Inclusive range or uppercase
ɽ	Exclusive One Range / Lowercase	1	Exclusive range or lowercase
Þ	List Digraph	NA	Used for list-related digraphs
ƈ	Choose / random choice / set same / drop while	2	Binomial coefficient / choose a random items from b / same except duplicates / drop while
∞	Palindromise	1	Palindromise a
¨	Other Digraphs	NA	Used for various random digraphs
	Space	NA	NOP
!	Stack Length	0	Push the length of the stack
"	Pair	2	Place the top two items into a single list
#	Comment	NA	The characters until the next newline are commented out
#{	Multiline Comment	NA	The characters until the next `}#` are commented out. Nestable.
$	Swap	2	Swap the top two items
%	Modulo / Format	2	Modulo two numbers / format two strings
&	Apply To Register	*	Apply the next element to the register
'	Lambda Filter	1	Open a filter lambda - '...;
(	Open For Loop	1	Start a for loop, iterating over the popped top of stack.
)	Close For loop	NA	Close a for loop
*	Multiplication / Arity Change	2	Multiply two numbers or strings / Change the arity of a function
+	Addition	2	Adds the top two items on the stack
,	Print	1	Print a with trailing newline
-	Subtract	2	Subtracts the top two items on the stack
.	Decimal Separator	NA	Decimal separator
/	Divide / Split	2	Divide two numbers or split strings
0	Literal digit 0	0	Literal digit 0
1	Literal digit 1	0	Literal digit 1
2	Literal digit 2	0	Literal digit 2
3	Literal digit 3	0	Literal digit 3
4	Literal digit 4	0	Literal digit 4
5	Literal digit 5	0	Literal digit 5
6	Literal digit 6	0	Literal digit 6
7	Literal digit 7	0	Literal digit 7
8	Literal digit 8	0	Literal digit 8
9	Literal digit 9	0	Literal digit 9
:	Duplicate	1	Push a twice
;	Close Structure	NA	Close a lambda / map lambda / sort lambda / function
<	Less Than	2	Basic comparison - less than
=	Equals	2	Basic comparison - equals
>	Greater Than	2	Basic comparison - greater than
?	Input	0	Get the next input from the input source
@	Function Call / Declaration	* / NA	Call / declare function (@name; / @name|code;)
A	All	1	Check if all items in a list are truthy / check if a character is a vowel
B	Binary To Decimal	1	Convert a binary string or list to base 10
C	Chr / Ord	1	Convert between characters and ordinals
D	Triplicate	1	Push three copies of a to stack
E	Two Power / Python Eval	1	2 ** a, or eval(a)
F	Filter	2	Filter a list by another list or function.
G	Max	1	Maximum value or a
H	Hex To Decimal	1	Convert hexadecimal to decimal
I	Into Two Pieces	1	Push n spaces / quine cheese / into two pieces
J	Merge	2	Join two lists or items
K	Factors / Substrings / Prefixes	1	Get either the factors of a, substrings that occur more than once, or prefixes
L	Length	1	Get length of a
M	Map Function	2	Map function object b over a
N	Negate / Swap Case / First Integer Where Truthy	1	Negate a number / swap case of a string / first integer where a function truthy
O	Count / Maximums-by	2	Count number of times b occurs in a / Maximums-by
P	Strip / Minimums-by	2	Remove the set of elements in b from both ends of a / Minimums-by
Q	Quit	NA	Quit the program
R	Reduce	2	Reduce a by b, or reverse each item of b
S	Stringify	1	Stringify a list or number
T	Truthy Indices / Triple / Triadify	1	Get indices of truthy elements, triple, or make the arity of a function 3
U	Uniquify	1	Remove duplicates
V	Replace / Map to Indices	3	Replace b with c in a / Map a function at elements of a list whose indices are in another list
W	Wrap	0	Stack wrapped into a list
X	Break	NA	Break out of the current loop or return early from a function.
Y	Interleave	2	Interleave two lists
Z	Zip	2	Zip two lists or Zip a with b mapped over a. Fills with 0s if needed.
[	Open If Statement	1	Open an if Statement
\	Single char Literal	0	Pushes a single character
]	Close If Statement	NA	Close an if Statement
`	String Literal	0	A string literal - `...`
^	Reverse Stack	NA	Reverse the stack.
_	Pop	1	Pop the top item of the stack
a	Any	1	Check if any items of a list are truthy / Check if a character is an uppercase letter
b	Binary	1	Convert a number or string to binary
c	Contains / First Truthy Item Under Function Application	2	Check if one thing contains another / returns the first truthy item in a list after applying a function
d	Double / Dyadify	1	Double a number or repeat a string twice / make a function dyadic
e	Exponentiation	2	Exponentiate two numbers / extend string / get length of a regex match
f	Flatten	1	Turn a number into a list of digits, split a string into a list of characters, or flatten a list.
g	Minimum	1	Take the minimum of a list
h	Head	1	First item of something
i	Index	2	Index into a list
j	Join	2	Join a by b.
k	Constant Digraph	0	Used for constant digraphs.
l	Cumulative Groups / First Non-Negative Truthy Integers	2	Cumulative groups (overlapping groups, aperture) / Equal length
m	Mirror	1	Append input reversed to itself.
n	Context	0	Context variable, value of the current loop or function.
o	Remove	2	Remove instances of b in a
p	Prepend	2	Prepend b to a
q	Uneval	1	Enclose in backticks, escape backslashes and backticks.
r	Range	2	Range between two numbers, or cumulative reduce, or regex match
s	sort	1	Sort a list or string
t	Tail	1	Last item
u	Minus One	0	Push -1
v	Vectorise	*	Vectorise an element
¨v	Simple vectorise	*	Simple vectorise an element. Well, you'll have to look at the code to know what that means.
¨V	Right vectorize	*	Right vectorize an element. Like `v`, but vectorizes on the rightmost list instead of the leftmost list.
w	Listify	1	a wrapped in a singleton list
x	Recurse / Continue / Print Stack		Call current function (Functions/Lambdas) / Continue (For Loops) / Print the entire stack (otherwise)
y	Uninterleave	1	Push every other item of a, and the rest.
z	Zip-self	1	Zip a with itself
{	Open While Loop	NA	Open a while loop - `{...}`
|	Branch In Structure		Branch the structure - means various things depending on context
}	Close While Loop		Close a while loop
~	Filter / Execute Without Pop		For monads, filter a list by that. For dyads, execute without popping from the stack.
↑	Max by Tail	1	Maximum by last item
↓	Min by Tail	1	Minimum by last item
∴	Dyadic Maximum	2	Maximum of two values / Maximum of a list by a function
∵	Dyadic Minimum	2	Minimum of two values / Minimum of a list by a function
›	Increment / Space Replace With 0	1	Add 1 to a number / replace all spaces in a string with "0"
‹	Decrement	1	Subtract 1 from a number
∷	Parity	1	A number modulo 2
¤	Empty String	0	The empty string
ð	Space	0	A Space
→	Variable Set	1	Set variable (→name)
←	Variable Get	0	Get the value of a variable (←name)
β	To Base Ten / From Custom Base	2	Convert a number from a custom base to base 10
τ	From Base Ten / To Custom Base	2	Convert a number to a different base from base 10.
ȧ	Absolute value	1	Take the absolute value of a number, or remove whitespace from a string
ḃ	Boolify	1	Convert an arbitrary value into a truthy or falsy value, vectorises with flag t
ċ	Not One	1	Check if something is not equal to 1
ḋ	Divmod	2	Divmod / combinations / trim / chunk-while
ė	Enumerate	1	Zip with a range of the same length
ḟ	Find	2	Find a value in another
ġ	Gcd / Group by Function	*	Greatest Common Denominator of a list or some numbers
ḣ	Head Extract	1	Separate the first item of something and push both to stack
ḭ	Floor Division	2	Floor divide a by b
ŀ	Left Justify / Gridify / Infinite Replace / Collect until false	3	Find one value inside another, starting from a certain index.
ṁ	Mean	1	Average of a list - sum / length
ṅ	Join By Nothing	1	Join a list by the empty string. Vectorises if the list contains lists.
ȯ	Slice	2	Slice from an index to the end
ṗ	Powerset	1	All possible combinations of a
ṙ	Round	1	Round a number to the nearest integer / real and imaginary part of complex number
ṡ	Sort by Function	2	Sort a list by a function / create a range / split on a regex
ṫ	Tail Extract	1	Remove the last item and push both onto the stack
ẇ	Chunk Wrap	2	Wrap a list in chunks of a certain length / apply a function to every second item of a list
ẋ	Repeat	*	Repeat a value several times
ẏ	Exclusive Range Length	1	Range from 0 to length of a
ż	Inclusive Range Length	1	Range from 1 to length of a inclusive
√	Square Root	1	Square root a number / every second character of a
⟨	Open List	0	Open a list - ⟨...⟩
⟩	Close list	1	Close a list - ⟨...⟩
‛	Two Character String	0	Collect the next two characters as a string - ‛..
₀	Ten	0	Push 10 to the stack
₁	Hundred	0	Push 100 to the stack
₂	Is Even	1	Check if a value is even
₃	Divisible By Three	1	Check if a is divisible by 3
₄	Twenty Six	0	Push 26 to the stack
₅	Divisible By Five	1	Check if a is divisible by 5
₆	Sixty Four	0	Push 64 to the stack
₇	One Twenty Eight	0	Push 128 to the stack
₈	Two Fifty Six	0	Push 256 to the stack
¶	Newline	0	Push a newline to the stack
⁋	Join On Newlines	1	Join the top of the stack on newlines (insert "\n" between items)
§	Vertical Join	1	Transpose (filling with spaces) and then join on newlines
ε	Absolute Difference / Repeat / Regex match	2	Returns the absolute difference / Fills an array of a certain length / Does a regex match
¡	Factorial	1	Returns the factorial of the top of the stack
∑	Summate	1	Returns the sum of the top of the stack (reduce by addition)
¦	Cumulative Sum	1	Returns the sums of the prefixes of the top of the stack (cumulatively reduce by addition)
≈	All Equal	1	Returns whether all items are equal
µ	Sorting Lambda	NA	Sort the top of the stack by the function µ...;
Ȧ	Assign	3	The equivalent of a[b] = c
Ḃ	Bifurcate	1	Pushes the top of the stack then its reverse. Literally duplicate and reverse
Ċ	Counts	1	Returns a list of [item, count of item in the top of stack]
Ḋ	Is Divisible / Arbitrary Duplicate / Ordered Group By	2	Returns whether two items are divisible / numerous copies of the top of the stack / groups by results of function preserving order (adjacent group-by)
Ė	Vyxal Exec / Reciprocal	1	Executes as Vyxal / Reciprocal of number
Ḟ	Generator / Modulo Index / Format	2	Make a generator from function a with initial vector b, or get every nth item or format numbers as decimals.
Ġ	Group consecutive	1	Group consecutive identical items
Ḣ	Head Remove / Behead	1	All but the first item of a list / Drop 1
İ	Index into / Collect while unique / Complex Number	1	Index into list at indices / Collect values while values are unique (not including the initial value)
Ŀ	Transliterate	3	Replace each item of one value in another value with the corresponding element from a third value
Ṁ	Insert	3	Insert a value at a specified index / Map a function over every nth item of a list
Ṅ	Integer partitions / First Truthy Non-Negative Integer	1	Integer partitions / join by space
Ȯ	Over	0	Push the second-last item of stack to the top
Ṗ	Permutations	1	Get all permutations of a value
Ṙ	Reverse	1	Reverse a value
Ṡ	Vectorised sums / Strip whitespace from both sides / Is positive	1	Sum of each item in a list
Ṫ	Tail Remove / Truthy Under	1	Cut off the last item of a list / push 1 under the top of the stack
Ẇ	Split And Keep Delimiter	2	Split a value and keep the delimiter
Ẋ	Cartesian Product / Fixpoint	2	Take the Cartesian Product of two values, or apply a function until there is no change. If arguments are numbers, turns them into ranges.
Ẏ	Slice Until	2	Slice a list until a certain index / find all results for a regex match
Ż	Slice From One Until	2	Slice from index 1 until a number / get groups of a regex match
₌	Parallel Apply		Parallel apply two elements to the top of the stack
₍	Parallel Apply Wrap		Parallel apply two elements and wrap the results in a list
⁰	Very Last Input	0	Push the very last input (input[::-1][0]) to the stack
¹	Second Last Input	0	Push the very last input (input[::-1][1]) to the stack
²	Square	1	Square a number / Format a string into a square
∇	Shift	3	Shift the top of stack two values down
⌈	Ceiling	1	Take the ceiling of a number / Imaginary part of complex number / split a string on spaces
⌊	Floor	1	Floor a number / real part of complex number / extract the integer part of a string
¯	Deltas	1	Deltas (consecutive differences)
±	Sign	1	Get the sign of a number
₴	Print Without Newline	1	Print a value without a trailing newline
…	Print Without Popping	0	Print a value without popping the stack
□	Input List	0	All inputs wrapped in a list
↳	Right Bit Shift	2	Right-bitshift a value / right-justify a string
↲	Left Bit Shift	2	Left-bitshift a value / left-justify a string
⋏	Bitwise And	2	Performs bitwise and between two numbers / centre a string
⋎	Bitwise Or	2	Performs bitwise or between two numbers / Removes a character at nth index / Merges strings on longest common prefix and suffix
꘍	Bitwise Xor	2	Performs bitwise xor between two numbers / appends n spaces to a string / prepends n characters to a string / Levenshtein Distance
ꜝ	Bitwise Not	1	Performs bitwise not on a number / check if any letters are uppercase / keep only truthy elements of a list
℅	Random Choice	1	Random choice of single item from array
≤	Lesser Than or Equal To	2	a is lesser than or equal to b?
≥	Greater Than or Equal To	2	a is greater than or equal to b?
≠	Not Equal To	2	a is not equal to b?
⁼	Exactly Equal To	2	a equal to b? (non-vectorizing)
ƒ	Reduce by	2	Reduce by an element
ɖ	Scan by	2	Cumulatively reduce by an element
∪	Set Union	2	Merge two arrays without duplicates
∩	Transpose	1	Transpose an array
⊍	Symmetric Set difference	2	Uncommon elements of two arrays
£	Set Register	1	Set the register to argument value
¥	Push Register	0	Push the current register value
⇧	Grade Up	1	Indices of elements to sort in ascending order / uppercase / increment number twice
⇩	Grade Down	1	Indices of elements to sort in descending order / lowercase / decrement number twice
Ǎ	Remove non-alphabets	1	Remove non-alphabetical characters / power with base 2
ǎ	Nth prime	1	nth prime / all substrings
Ǐ	Prime factorization	1	prime factorization / append first element
ǐ	Prime factors	1	all prime factors / Title Case string
Ǒ	Multiplicity / Remove Fixpoint / First Truthy Index Under Function	2	Order, Multiplicity, Valuation / remove till fixpoint / First truthy index under function application
ǒ	Modulo 3	1	Modulo 3 / Split into Length 2
Ǔ	Rotate Left	2	Rotate Left / Rotate Left Once
ǔ	Rotate Right	2	Rotate Right / Rotate Right Once
⁽	One Element Lambda	0	One Element lambda function (prefix)
‡	Two Element Lambda	0	Two Element lambda function (prefix)
≬	Three Element Lambda	0	Three Element lambda function (prefix)
⁺	Index of next character in codepage	0	Return the index of the next character in the vyxal code page + 101
↵	Split On newlines	1	Split on newlines / Power with base 10
⅛	Push To Global Array	1	Push to global array (no popping)
¼	Pop From Global Array	0	Pop from global array, push to stack
¾	Push Global Array	0	Push global array, no modification of global array
Π	Product of Array / Cartesian product over list	1	Product of Array / Cartesian product over a list of lists
„	Rotate Stack Left	0	Rotate Stack Left
‟	Rotate Stack Right	0	Rotate Stack Right
🍪	Cookie	0	print "cookie" forever
ඞ	sus	0	print "sus"
kA	Uppercase alphabet	0	"ABCDEFGHIJKLMNOPQRSTUVWXYZ" (uppercase alphabet)
ke	e, Euler's number	0	2.718281828459045 (math.e, Euler's number)
kf	Fizz	0	Fizz
kb	Buzz	0	Buzz
kF	FizzBuzz	0	FizzBuzz
kH	Hello, World!	0	Hello, World!
kh	Hello World (No Punctuation)	0	Hello World
k1	1000	0	10^3 / 1000
k2	10000	0	10^4 / 10000
k3	100000	0	10^5 / 100000
k4	1000000	0	10^6 / 1000000
ka	Lowercase alphabet	0	"abcdefghijklmnopqrstuvwxyz" (lowercase alphabet)
kL	Lowercase and uppercase alphabet	0	"abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" (uppercase+lowercase alphabet)
kd	Digits	0	"0123456789" (Digits 0-9)
k6	Hex digits (lowercase)	0	"0123456789abcdef" (Hex digits)
k^	Hex digits (uppercase)	0	"0123456789ABCDEF" (Hex digits uppercase)
ko	Octal digits	0	"01234567" (Octal digits)
kp	Punctuation	0	string.punctuation (Punctuations)
kP	Printable ASCII Without Space	0	printable ascii exluding space
kQ	Printable ASCII With Space	0	printable ascii with space
kw	ASCII Whitespace	0	All ASCII whitespace
kr	Digits, lowercase alphabet, and uppercase alphabet	0	"0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" (0-9A-Za-z)
kB	Uppercase and lowercase alphabet	0	"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz" (A-Za-z)
kZ	Uppercase alphabet reversed	0	"ZYXWVUTSRQPONMLKJIHGFEDCBA" (uppercase alphabet reversed)
kz	Lowercase alphabet reversed	0	"zyxwvutsrqponmlkjihgfedcba" (lowercase alphabet reversed)
kl	Uppercase and lowercase alphabet, reversed	0	"ZYXWVUTSRQPONMLKJIHGFEDCBAzyxwvutsrqponmlkjihgfedcba" (Z-Az-a)
ki	Pi	0	3.141592653589793 (Pi)
kg	Golden ratio/phi	0	1.618033988749895 (golden ratio/phi)
kD	Current day in the format YYYY-MM-DD	0	Current day in the format YYYY-MM-DD
kN	Current time as a list of ⟨hh|mm|ss⟩	0	Current time as a list of ⟨hh|mm|ss⟩
kḋ	Current day in the format DD/MM/YYYY	0	Current day in the format DD/MM/YYYY
kḊ	Current day in the format MM/DD/YYYY	0	Current day in the format MM/DD/YYYY
kð	Current day in the format ⟨DD|MM|YYYY⟩	0	Current day in the format ⟨DD|MM|YYYY⟩
kβ	Braces, square brackets, angle brackets, and parentheses	0	{}[]<>()
kḂ	Parentheses, square brackets, and braces	0	"()[]{}" (Brackets)
kß	Parentheses and square brackets	0	()[]
kḃ	Opening brackets	0	"([{" (Open brackets)
k≥	Closing brackets	0	")]}" (Close brackets)
k≤	Opening brackets (with <)	0	"([{<" (Fish bones :P)
kΠ	Closing brackets (with >)	0	")]}>" (Closing brackets)
kv	Lowercase vowels	0	"aeiou" (Vowels lowercase)
kV	Upercase vowels	0	"AEIOU" (Vowels uppercase)
k∨	Lowercase and uppercase vowels	0	"aeiouAEIOU" (vowelsVOWELS)
k⟇	Vyxal codepage	0	Yields the Vyxal codepage
k½	[1, 2]	0	[1, 2]
kḭ	4294967296	0	2 ** 32, 2^32, 4294967296
k+	[1, -1]	0	[1, -1]
k-	[-1, 1]	0	[-1, 1]
k≈	[0, 1]	0	[0, 1]
k/	Slashes	0	"/\\" (Forwardslash, backslash)
kR	360	0	360
kW	https://	0	https://
k℅	http://	0	http://
k↳	https://www.	0	https://www.
k²	http://www.	0	http://www.
k¶	512	0	512
k⁋	1024	0	1024
k¦	2048	0	2048
kṄ	4096	0	4096
kṅ	8192	0	8192
k¡	16384	0	16384
kε	32768	0	32768
k₴	65536	0	65536
k×	2147483648	0	2147483648
k⁰	Lowercase consonants with y	0	bcdfghjklmnpqrstvwxyz
k¹	Lowercase consonants without y	0	bcdfghjklmnpqrstvwxz
kT	BF command set	0	BF command set ("[]<>-+.,")
kṗ	Bracket pair list	0	List of bracket pairs ("[(),[],{},<>]")
kṖ	Nested brackets	0	String of all brackets nested ("([{<>}])")
kS	Amogus	0	Amogus ("ඞ")
k₁	[1, 1]	0	The list [1, 1]
k₂	2 ** 20	0	2 to the power of 20, 1048576
k₃	2 ** 30	0	2 to the power of 30, 1073741824
k∪	Lowercase Vowels With Y	0	Lowercase vowels with y, "aeiouy"
k⊍	Uppercase Vowels With Y	0	Uppercase vowels with y, "AEIOUY"
k∩	Vowels With Y	0	Vowels with y, "aeiouyAEIOUY"
k□	Directions	0	Cardinal directions, [[0,1],[1,0],[0,-1],[-1,0]]
kṘ	Roman Numerals	0	IVXLCDM
k•	Qwerty Keyboard	0	The list ["qwertyuiop","asdfghjkl","zxcvbnm"]
∆b	Binary String	1	Get a binary string of a number
∆c	Cosine	1	Get the cosine of an angle in radians
∆C	Arc Cosine	1	Get the arccosine of an angle in radians
∆q	Quadratic Solver	2	Solve a quadratic equation of the form ax^2 + bx = 0
∆Q	General Quadratic Solver	2	Solve a quadratic equation of the form x^2 + ax + b = 0
∆s	Sine	1	Get the sine of an angle in radians
∆S	Arc Sine	1	Get the arcsine of an angle in radians
∆t	Tangent	1	Get the tangent of an angle in radians
∆T	Arc Tangent	1	Get the arctangent of an angle in radians
∆Ṫ	Arc Tangent 2	2	Get the arctangent of an angle in radians
∆P	Polynomial Solver	1	Solve a polynomial of the form a[0]x^len(a) + a[1]x^len(a)-1 ... = 0
∆ƈ	n Pick r (npr)	2	Get the number of combinations of r items from a set of n items
∆±	Copy Sign	2	Copy the sign of one number to the other
∆K	Sum of Proper Divisors / Stationary Points	1	Get the sum of all proper divisors of a number / get the stationary points of a function
∆²	Perfect Square? / Square Expression	1	Is the number a perfect square? (1, 4, 9, 16, 25, 36) / Raise an algebraic expression to the power of 2
∆e	Euler's Number (e) raised to power a	1	Get the value of Euler's number (e) raised to the power of a
∆E	(Euler's Number (e) Raised to Power a) - 1	1	Get the value of Euler's number (e) raised to the power of a minus 1
∆L	Natural Logarithm	1	Get the natural logarithm of a number
∆l	Logarithm (log_2)	1	Get the logarithm of a number to base 2
∆τ	Common Logarithm	1	Get the common logarithm of a number
∆d	Straight Line Distance	2	Get the straight line distance between two points (x1, x2, ..., xn) and (y1, y2, ..., yn)
∆D	To Degrees	1	Convert an angle from radians to degrees
∆R	To Radians	1	Convert an angle from degrees to radians
∆Ṗ	Next Prime After a Number / Discriminant of Polynomial	1	Get the next prime number after a given number / the discriminant of a polynomial
∆ṗ	First Prime Before a Number / Factor Expression	1	Get the first prime number before a given number / factor a mathematical expression
∆p	Nearest Prime to a Number / Python equivalent of an expression	1	Get the prime number closest to a given number, get the greater to break ties / return the python equivalent of a mathematical expression - sympy's .pycode() function
∆ṙ	Polynomial from Roots	1	Get the polynomial with coefficients from the roots of a polynomial
∆W	Round to n Decimal Places	2	Round a number to n decimal places
∆%	Modular Exponentiation	3	Get the modular exponentiation a**b mod c
∆Ŀ	Least Common Multiple	1 or 2	Get the least common multiple of two numbers
∆i	nth Digit of Pi / Integrate	1	Get the nth digit of pi
∆I	First N Digits of Pi	1	Generate the first n digits of pi
∆Ė	N Digits of Euler's Number (e) / Sympy Evaluate	1	Get the first n digits of Euler's number (e) / evaluate an expression as sympy
∆ė	Nth Digit of Euler's Number (e) / Differentiate	1	Get the nth digit of Euler's number (e)
∆f	nth Fibonacci Number	1	Get the nth fibonacci number, 1-indexed
∆F	nth Fibonacci Number, 0-indexed	1	Get the nth fibonacci number, 0-indexed
∆Ṙ	Random Float	0	Get a random float in the range [0, 1), pseudo random number
∆ṫ	Totient Function / Local Minima	1	Get the totient function of a number / local minima of a function
∆n	Next Power	2	Get the next power of b after a.
∆ḟ	Previous Power	2	Get the previous power of b before a.
∆Z	ZFill	2	Pad a string with zeros to a given length
∆ċ	Nth Cardinal	1	Get the nth cardinal / convert number to words
∆o	Nth Ordinal	1	Get the nth ordinal / convert number to wordth ordinal
∆M	Mode	1	Get the mode of a list
∆ṁ	Median	1	Get the median of a list - returns a list of the two middle items if even length list (use ṁ to average them)
∆Ċ	Polynomial Expression From Coefficients	1	Get the polynomial expression from a list of coefficients
∆¢	Carmichael Function	1	Get the Carmichael function of a number / Local Maxima
∆›	Increment until false	2	Increment a until b(a) is false (deprecated, use `>` instead)
∆‹	Decrement until false	2	Decrement a until b(a) is false (deprecated, use `<` instead)
∆ǐ	Prime Exponents	1	Get the exponents of prime factors of a number
∆Ǐ	All Prime Exponents	1	Get all exponents of prime factors less than the maximum prime factor
∆*	Next Multiple	2	Get the next multiple of a number greater than another number
∆ȯ	Hyperbolic Cosine	1	Get the hyperbolic cosine of a number in radians
∆Ȯ	Hyperbolic Arccosine	1	Get the hyperbolic arccosine of a number in radians
∆ṡ	Hyperbolic Sine	1	Get the hyperbolic sine of a number in radians
∆Ṡ	Hyperbolic Arcsine	1	Get the hyperbolic arcsine of a number in radians
∆ṅ	Hyperbolic Tangent	1	Get the hyperbolic tangent of a number in radians
∆Ṅ	Hyperbolic Arctangent	1	Get the hyperbolic arctangent of a number in radians
∆/	Hypotenuse	1	Get the hypotenuse of a right-angled triangle - equivalent to `²∑√`
∆r	Reduced Echelon Form	1	Get the reduced echelon form of a matrix
øb	Parenthesise	1	Parenthesise a string
øB	Bracketify	1	Enclose a string in brackets
øḃ	Curly Bracketify	1	Enclose a string in curly brackets
øḂ	Angle Bracketify	1	Enclose a string in angle brackets
øβ	Balanced Brackets	1	Check if brackets in a string ("{}()[]<>") are balanced
ø↳	Custom Pad Left	3	Pad a string to the left with a certain character
ø↲	Custom Pad Right	3	Pad a string to the right with a certain character
øM	Flip Brackets Vertical Palindromise	1	Vertically palindromise and reverse brackets and slashes, without duplicating center
øA	Letter to Number	1	Convert a letter to a number, or vice versa (1-indexed)
øṗ	Flip Brackets Vertical Palindromise, Center, Join on Newlines	1	Vertically palindromise each and reverse brackets and slashes, without duplicating center, then center and join by newlines. Equivalent to `øMøĊ⁋`
øm	Flip Brackets Vertical Mirror, Center, Join on Newlines	1	Vertically mirror each and reverse brackets and slashes, then center and join by newlines. Equivalent to `øṀøĊ⁋`
øo	Remove Until No change	2	Remove b from a until a does not change
øO	Count Overlapping	2	Count the number of overlapping occurances of b in a
øV	Replace Until No Change	3	Replace b with c in a until a does not change
øc	String Compress	1	Compress a string of lowercase letters and spaces in base 255
øC	Number Compress	1	Compress a positive integer in base 255
øĊ	Center	1	Center a list of strings
øe	Run Length Encoding	1	Run length encoding, convert from string/list to list of items and amount repeated.
øĖ	Separated Run Length Encoding	1	Run length encoding, convert from string/list to list of items and list of amounts. Equivalent to `øe∩÷`
ød	Run Length Decoding	1	Run length decoding, convert from list of characters and lengths to a string/list
øḊ	Dyadic Run Length Decode	2	Run length decoding, convert list of characters and list of lengths to a string/list
øD	Dictionary Compression	1	Optimally compress a string of English using words from the Vyxal dictionary
øW	Group on words	1	Group a string on words
øċ	Semi Optimal number compress	1	Semi-optimally compress a number
øṙ	Regex replace	3	Replace matches of a with c in b
øp	Starts With	2	Check if one value starts with another
øE	Ends With	2	Check if one value ends with another
øf	Ends With Set	2	Check if a value ends with others
øs	Starts With Set	2	Check if a value starts with others
øP	Pluralise Count	2	Create a sentence of the form 'a bs'
øṁ	Vertical Mirror	1	Vertical Mirror - Split by newlines, mirror each line, join by newlines
øṀ	Flip Brackets Vertical Mirror	1	Vertical mirror, and swap brackets and slashes in the second half.
øṖ	String Partitions	1	All partitions of a string/list
øḋ	To Decimal	1	Convert a rational to its decimal representation.
ø⟇	Get Codepage Character / Get Codepage Index	1	Get the character at a certain index in the vyxal codepage / Get the index of a character in the vyxal codepage
øṘ	Roman Numeral	1	Convert a decimal to its roman numeral representation / Convert a roman numeral to its decimal representation.
øJ	Parse JSON	1	Parse a JSON string into a Vyxal object
øḞ	Replace First Occurrence	3	Replace the first instance of an item with another item
øṄ	Replace Nth Occurrence	4	Replace the nth instance of an item with another item. If n is negative, then replaces the last nth instance.
øS	Strip whitespace from both sides	1	Strip whitespace from both sides of a string / Remove trailing zeros from a number
øL	Strip whitespace from the left side	1	Strip whitespace from the left side of a string
øR	Strip whitespace from the right side	1	Strip whitespace from the right side of a string
øl	Strip from the left side	2	Strip from the left side of a string
ør	Strip from the right side	2	Strip from the right side of a string
ø^	Canvas Draw	3	Draw on a canvas (see knowledge/spec/canvas.md for more details) and return it as a string
ø∧	Global Canvas Draw	3	Draw on the global canvas (see knowledge/spec/canvas.md for more details), which is implicitly printed.
ø.	Surround	2	Surround a value with another
øŀ	Left Align	1	Left align a string/string list
øɽ	Right Align	1	Right align a string/string list
Þ*	Cartesian product over list	1	Cartesian product over a list of lists
Þa	Adjacency matrix (Directed)	1	Adjacency matrix of directed graph (nonzero A_ij denotes edge from i to j)
Þn	Infinite list of all integers	0	All integers in an infinite list (0, 1, -1, 2, -2, ...)
Þż	Lift	1	Multiply a numeric list by a range from 1 to its length
ÞŻ	Sort Every Level	1	Sort every level of a multidimensional list
ÞA	Adjacency matrix (Undirected)	1	Adjacency matrix of undirected graph
Þo	Ordinals	0	An infinite list of first, second, third, fourth etc
Þc	Cardinals	0	An infinite list of one, two, three, four etc
Þp	Primes	0	An infinite list of primes
Þu	All Unique	1	Are all elements of a list/string unique?
Þj	Depth	1	Depth of ragged list
ÞẊ	Cartesian Power	2	Cartesian power, cartesian product with self n times. If both arguments are numbers, turns the left into a range.
Þf	Flatten By depth	2	Flatten a list by a certain depth (default 1)
ÞB	Random Bits	1	Fill a list with random bits
Þ<	All Less Than Increasing	2	Find all numbers less than a certain value in a (potentially infinite) list assumed to be (non-strictly) increasing
Þǔ	Untruth	1	Return a list with 1s at the (0-indexed) indices in a, and 0s elsewhere
ÞǓ	Connected Uniquify	1	Remove occurences of adjacent duplicates in a list
Þk	2-dimensional Convolution	2	Return two-dimensional convolution of matrices
Þi	Multidimensional Indexing	2	Index a list of coordinates into a value.
ÞI	All Indices (Multidimensional)	2	All multidimensional indices of element in list
Þḟ	Multidimensional Search	2	Find the first multidimensional index of a value in another
ÞḞ	Fill to make rectangular	2	Fill a 2-D list to make it rectangular
Þm	Zero Matrix	1	Given a list of dimensions, create a matrix with those dimensions, filled with zeroes
ÞṄ	Infinite Integer Partitions	0	Infinite list of sets of positive integers (equivalent to Þ∞vṄÞf)
Þ÷	Divide List Into N Equal Length Parts	2	Divide a list into n equal length parts
ÞZ	Fill By Coordinates	2	Fill a matrix by calling a function with the lists of coordinates in the matrix.
Þ…	Evenly Distribute	2	Evenly distribute a number over elements of a list
Þ↓	Minimum By Function	2	Find the minimum value of a list by applying a function to each element
Þ↑	Maximum By Function	2	Find the maximum value of a list by applying a function to each element
Þ×	All Combinations	1	All combinations of a list / string, of all lengths, with replacement
Þx	All Combinations Without Replacement	1	All combinations of a list / string, of all lengths, without replacement
ÞF	All Fibonacci	0	All Fibonacci numbers as a LazyList.
Þ!	All Factorials	0	All factorials as a LazyList.
ÞU	Uniquify Mask	1	A list of booleans describing which elements of a will remain after uniquifying.
ÞD	Diagonals	1	Diagonals of a matrix, starting with the main diagonal.
Þ√	Diagonals Ordered	1	Diagonals of a matrix, starting with the shortest top diagonal
Þḋ	Anti-diagonals	1	Anti-diagonals of a matrix, starting with the main anti-diagonal.
Þ`	Anti-diagonals Ordered	1	Anti-diagonals of a matrix, starting with the shortest top anti-diagonal
ÞS	Sublists	1	Sublists of a list.
ÞṪ	Transpose With Filler	2	Transpose a matrix, with a filler value for empty cells.
Þ℅	Random Permutation	1	Random permutation of a list / string
ÞṀ	Matrix Multiplication	2	Multiply two matrices together.
ÞḊ	Matrix Determinant	1	Calculate the determinant of a matrix.
Þ\	Anti-diagonal	1	Anti-diagonal of a matrix
Þ/	Main Diagonal	1	Diagonal of a matrix
ÞC	Matrix Column Reduce	2	Reduce columns of a matrix by a function.
ÞĠ	Gridify	1	Gridify a 2-D list by padding each element with space to make columns aligned, joining each row on spaces, then joining by newlines.
Þ∨	Multiset Difference	2	Similar to set difference, but with duplicates allowed.
Þ∩	Multiset Intersection	2	Similar to set intersection, but with duplicates allowed.
Þ∪	Multiset Union	2	Similar to set union, but with duplicates allowed.
Þ⊍	Multiset Symmetric Difference	2	Similar to set symmetric difference, but with duplicates allowed.
Þ•	Dot Product	2	Dot product of two lists.
Þṁ	Mold without repeat	2	Mold a list without repeating elements.
ÞM	Maximal Indices	1	Indices of the maximal elements of a list.
Þ∴	Elementwise Vectorised Dyadic Maximum	2	Elementwise vectorised dyadic maximum.
Þ∵	Elementwise Vectorised Dyadic Minimum	2	Elementwise vectorised dyadic minimum.
Þs	All Slices of a List	2	Get all slices of a list, skipping a certain number of items
Þ¾	Empty the Global Array	0	Empty the global array.
Þr	Remove Last Item and Prepend 0	1	Remove the last item of a list and prepend 0. A shortcut for Ṫ0p
Þ∞	Infinite List of Positive Integers	0	An infinite list of positive integers
Þ:	Infinite List of Non-Negative Integers	0	An infinite list of non-negative integers
ÞR	Remove Last Item From Cumulative Sums and Prepend 0	1	Remove the last item of the cumulative sums of a list and prepend 0. A shortcut for ¦Ṫ0p
Þẇ	Unwrap	1	Take a and push a[0]+a[-1] and a[1:-1]
Þg	Shortest By Length	1	Return the shortest item in a list.
ÞG	Longest By Length	1	Return the longest item in a list.
Þṡ	Sort By Length	1	Sort a list by length.
ÞṠ	Is Sorted?	1	Returns true if an item is sorted in ascending order using default sorting rules.
ÞṘ	Is Sorted in Reverse?	1	Returns true if an item is sorted in descending order using default sorting rules.
ÞȮ	Is Ordered?	1	Returns true if the item is sorted in either descending or ascending order.
ÞĊ	Is Unordered?	1	Returns true if the item is not sorted in either descending or ascending order.
Þ⇧	Is Strictly Ascending?	1	Returns true if the list is in strictly ascending order.
Þ⇩	Is Strictly Descending?	1	Returns true if the list is in strictly descending order.
Þċ	Cycle	1	Form an infinite list from a vector.
ÞK	Suffixes	1	Suffixes of a list.
ÞT	Multi-dimensional truthy indices	1	Multi-dimensional indices of truthy elements
Þİ	First n Items and Rest	2	Push the first n items of a, then the rest of a
ÞN	Alternating Negation	1	An infinite list of an item, then that item negated, then that item, and so on. Uses the negation element for negation.
Þ□	Identity Matrix of Size n	1	A matrix with 1s on the main diagonal and zeroes elsewhere
Þe	Matrix Exponentiation	2	A matrix multiplied by itself n times
Þd	Distance matrix (Directed)	1	Distance matrix of directed graph
Þw	Distance matrix (Undirected)	1	Distance matrix of undirected graph
ÞṖ	Split Before Indices	2	Split a list before indices in another list
Þṗ	Split on Truthy Indices	2	Split a list on truthy indices / Partition a list on truthy items
Þẏ	Multidimensonal Indices	1	A list of indices for a multidimensional list
Þė	Multidimensonal Enumeration	1	Enumerate a list and all its sublists
¨□	Parse direction arrow to integer	1	Map characters in `>^<v` to integers (0, 1, 2, 3 respectively)
¨^	Parse direction arrow to vector	1	Map characters in `>^<v` to direction vectors
¨U	Get Request	1	Send a GET request to a URL
¨=	Invariant After Application	1	Push whether the result of applying an element to an item is the same as the original item
¨M	Map At Indices	3	Map a function at elements of a list whose indices are in another list
¨,	Print With Space	1	Print a value with a space after it
¨…	Print With Space Without Popping	1	Print a value with a space after it, without popping it
¨>	Strict Greater Than	2	Non-vectorising greater than - useful for lists. Note that all corresponding elements should be of the same type.
¨<	Strict Less Than	2	Non-vectorising greater than - useful for lists. Note that all corresponding elements should be of the same type.
¨*	All Multiples	1	Return all multiples of a
¨e	All Powers	1	Return all powers of a
¨²	All Powers of 2	0	Return all powers of 2
¨₀	All Powers of 10	0	Return all powers of 10
¨£	Star Map		Reduce each pair of two lists zipped together by a function. Equivalent to Zvƒ
¨ẇ	Wrap Last n Items	1	Wrap the last n items on the stack into a list
¨2	Dyadic Map Lambda	2	Open a dyadic mapping lambda - ¨2...; Receives item and index.
¨3	Triadic Map Lambda	3	Open a triadic mapping lambda - ¨3...; Receives item, index, and vector.
¨₂	Dyadic Filter Lambda	2	Open a dyadic filter lambda - ¨₂...; Receives item and index.
¨₃	Triadic Filter Lambda	3	Open a triadic filter lambda - ¨₃...; Receives item, index, and vector.
¨Z	Zip lambda	3	Open a zip lambda - ¨Z...; Pops top two items off stack, zips them, and loops over them, pushing each item to the stack. Equivalent to `Zƛ÷...;`.
¨p	For Each Overlapping Pair		Run element for each overlapping pair. Equivalent to `2lvƒ`
¨?	Explicit STDIN	0	Read from STDIN, even if there are arguments
¨S	Override Inputs	1	Overrides the list of inputs
¨R	Reset Inputs	0	Resets the list of inputs to what they were before overriding with `¨S`
¨i	If/Else		If the top of the stack is truthy, run the first element, otherwise the second.