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Digit 0

1

Digit 1

2

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4

Digit 4

5

Digit 5

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Digit 6

7

Digit 7

8

Digit 8

9

Digit 9

.

Decimal Point

a^b⁄_c

Mixed Fraction

√2

Root 2

x + y

Addition

x ‒ y

Subtraction

x * y

Multiplication

^x⁄_y

Division

x^y

Exponents

√(x)

Square Roots

^y√(x)

nth Roots

x% of y

Percentages

(x, y)

Coordinate

|x|

Absolute Value

x!

Factorial

exp(x)

Natural Exponent

ln(x)

Natural Logarithm

log_y(x)

Logarithm Base

f'(x)

Derivative

_a∫^bf(x)dx

Integral

Σf(n)

Sum

Πf(n)

Product

midpoint(C₁, C₂)

Coordinate Midpoint

distance(C₁, C₂)

Coordinate Distance

sin(x)

Sine

cos(x)

Cosine

tan(x)

Tangent

csc(x)

Cosecant

sec(x)

Secant

cot(x)

Cotangent

arcsin(x)

Arcsine

arccos(x)

Arccosine

arctan(x)

Arctangent

arccsc(x)

Arccosecant

arcsec(x)

Arcsecant

arccot(x)

Arccotangent

sinh(x)

Hyperbolic Sine

cosh(x)

Hyperbolic Cosine

tanh(x)

Hyperbolic Tangent

csch(x)

Hyperbolic Cosecant

sech(x)

Hyperbolic Secant

coth(x)

Hyperbolic Cotangent

arcsinh(x)

Hyperbolic Arcsine

arccosh(x)

Hyperbolic Arccosine

arctanh(x)

Hyperbolic Arctangent

arccsch(x)

Hyperbolic Arccosecant

arcsech(x)

Hyperbolic Arcsecant

arccoth(x)

Hyperbolic Arccotangent

mean(l)

Mean

median(l)

Median

min(l)

Minimum

max(l)

Maximum

quartile(l, n)

nth Quartile

quantile(l, x)

Decimal Quantile

stdev(l)

Sample Standard Deviation

stdevp(l)

Population Standard Deviation

var(l)

Sample Variance

varp(l)

Population Variance

mad(l)

Mean Absolute Deviation

cov(l₁, l₂)

Sample Covariance

covp(l₁, l₂)

Population Covariance

corr(l₁, l₂)

Pearson Correlation

spearman(l₁, l₂)

Spearman Correlation

stats(l)

Quartile Stats

count(l)

Count

total(l)

Total

join(l₁, l₂)

Join Lists

sort(l)

Sort List

shuffle(l)

Shuffle List

unique(l)

Unique Elements

l[n]

nth Element

normaldist(x, y)

Normal Distribution

tdist(x, y, z)

T Distribution

poissondist(x)

Poisson Distribution

binomialdist(x, y)

Binomial Distribution

uniformdist(x, y)

Uniform Distribution

pdf(D, x)

Probability Density Function

cdf(D, x)

Cumulative Distribution Function

random(n)

Random List

lcm(n, m)

Least Common Multiple

gcf(n, m)

Greatest Common Factor

mod(x, y)

Modulo

floor(x)

Floor

ceil(x)

Ceiling

round(x, n)

Round Decimal Places

sign(x)

Sign

nPr(x, y)

Permutations

nCr(x, y)

Combinations

real(c)

Real Part

imag(c)

Imaginary Part

conj(c)

Conjugate

arg(c)

Argument

tri(x)

Triangular Sequence

Formula: 0.5x(x + 1)

fib(n)

Fibonacci Sequence

Formula: fib(n - 1) + fib(n - 2)

catalan(x)

Catalan Sequence

Formula: ¹⁄_{x + 1} * nCr(2x, x)

digits(x, y)

Digit Count of x^y

Formula: floor(log₁₀(x)y) + 1

!x

Derangements

Formula: round(^x!⁄_e)

σ(x)

Sigmoid Function

Formula: ¹⁄_{1 + e^-x}

invsig(x)

Inverse Sigmoid Function

Formula: -ln(¹⁄_x - 1)

combrep(x, y)

Combinations with Repeats

Formula: nCr(x + y - 1, y)

dilation(x)

Traveller Time Dilation

Formula: √(1 - x²)

observer(x)

Observer Time Dilation

Formula: ¹⁄_{√(1 - x²)}

vadd(x, y)

Velocity Addition

Formula: ^{x + y}⁄_{1 + xy}

vsub(x, y)

Velocity Subtraction

Formula: ^{x - y}⁄_{1 - xy}

stirling(x)

Stirling Approximation

Formula: x^xe^-x√(τx)

sdigits(x)

Digit Count of x!

Formula: floor(log₁₀(x)x - log₁₀(e)x + log₁₀(√(τx))) + 1

hex(x)

Centered Hexagonal Sequence

Formula: 3x(x - 1) + 1

note(x)

440 Hertz Semitone

Formula: 440 * 2^x⁄₁₂

rotation(x)

Complex Number Rotation

Formula: e^τxi

isPrime(n)

Is Prime Number*

PrimePi(n)

Count of Primes*

p_n#

nth Primorial*

totient(n)

Euler Totient*

W(x)

Lambert W Function*

σ₀(n)

Factor Count of n*

fix(x)

Fix to Integer Part

Formula: floor(|x|)sign(x)

sinc(x)

Sinc Function

Formula: ^sin(x)⁄_x

sincpi(x)

Sinc Function, Unit Area

Formula: ^sin(πx)⁄_πx

rect(x)

3B1B Rectangle Function

Formula: ^{1 - sign(|x| - 0.5)}⁄₂

longrect(x)

3B1B Long Rectangle Function

Formula: ^{1 - sign(|x| - 1)}⁄₂

Qa(a, b, c)

Quadratic Root A

Formula: ^{-b - √(b2 - 4ac)}⁄_2a

Qb(a, b, c)

Quadratic Root B

Formula: ^{-b + √(b2 - 4ac)}⁄_2a

e

Euler's Number

π

Pi

τ

Tau

i

Imaginary Unit

∞

Infinity

φ

Phi

Formula: ^{(√(5) + 1)}⁄₂

d_r

Degrees to Radians

Formula: ^π⁄₁₈₀

r_d

Radians to Degrees

Formula: ¹⁸⁰⁄_π

c

Speed of Light

Formula: 299792458 m/s

g

Gravity on Earth

Formula: 9.80665 m/s²

γ

Euler's Constant*

ρ

Plastic Ratio

Formula: ^{3√(9 - √(69)) + 3√(9 + √(69))}⁄_³√(18)

ℓP

Planck Length

ℓP ≈ 1.616255E-35 m

f(x)

Arbitrary Function

n

Arbitrary Integer

r

Radius

θ

Arbitrary Angle

t

Parametric Value

v

Velocity

μ

Mean*

σ

Standard Deviation*

( )

Parentheses

-x

Negation

...

Repeat Forever*

=

Equal

<

Less Than

>

Greater Than

≤

Less Than or Equal

≥

Greater Than or Equal

≈

Approximately Equal*

≠

Not Equal*

≡

Modular Congruence*

℮

Estimation Sign*

⇒

Implication*

⇔

Iff*

a ≤ x ≤ b

Inclusive-Inclusive Interval

a ≤ x < b

Inclusive-Exclusive Interval

a < x ≤ b

Exclusive-Inclusive Interval

a < x < b

Exclusive-Exclusive Interval

x : y

Ratio*

x°

Degrees*

x'

Arcminutes*

x"

Arcseconds*

x-y

Inclusive Range*

x-y (<y)

Exclusive Range*

$x

Dollars*

-$x

Debt Amount*

n for $x

Quantity for Price*

x¢

Cents*

m

Meter*

kg

Kilogram*

s

Second*

K

Kelvin*

x+

X or More*

≤x

X or Less*

>x

Greater than X*

<x

Less than X*

x%

Isolated Percentage

Formula: 0.01x

x‰ of y

Permillage

Formula: 0.001xy

x‰

Isolated Permillage

Formula: 0.001x

~x

Value with Unknown Error*

x ± y

Value with Known Error*

xE+n

Scientific Notation

Formula: x * 10ⁿ

#n

Numerical Rank*

_bx

Binary Word*

x << y

Left Shift*

x >> y

Right Shift*

x & y

And*

x | y

Or*

x ^ y

Exclusive Or*

{}

Empty Set*

A ∪ B

Union*

A ∩ B

Intersection*

A \ B

Difference*

A ⊆ B

Subset Of*

A ⊇ B

Superset Of*

A ⊊ B

Strict Subset Of*

A ⊋ B

Strict Superset Of*

A ⊈ B

Not a Subset Of*

A ⊉ B

Not a Superset Of*

x ∈ A

Element Of*

x ∉ A

Not an Element Of*

||A||

Cardinality*

ℕ⁺

Set of Positive Integers*

ℕ

Set of Nonnegative Integers*

ℤ

Set of Integers*

ℚ

Set of Rationals*

ℝ

Set of Reals*

ℂ

Set of Complex Numbers*

A ∆ B

Symmetric Difference*

𝕌

Universal Set*

A′

Set Complement*

Ps(A)

Power Set*

O(f(x))

Big O Notation*

I

1*

V

5*

X

10*

L

50*

C

100*

D

500*

M

1000*

‾

1000's Multiplier*

n!!

Double Factorial*

n!_(m)

m-tuple Factorial*

sf(n)

Superfactorial*

H(n)

Hyperfactorial*

ef(n)

Exponential Factorial*

n#

Primorial up to N*

x ↑↑ n

Tetration*

x ↑^m n

mth Arrow Hyperoperation*

ℵ₀

Cardinality of Positive Integers*

ℵ₁

Cardinality of Real Numbers*

ℵ_n

Subsets of ℵ_{n - 1}*

ω

Omega*

ε

Epsilon*

Ω

Absolute Infinity*

true

True*

false

False*

¬P

Logical Not*

P ∧ Q

Logical And*

P ∨ Q

Logical Or*

P ↮ Q

Logical Exclusive Or*

tet(x)

Tetrahedral Sequence

Formula: ^x⁄₆(x + 1)(x + 2)

star(x)

Star Sequence

Formula: 6x(x - 1) + 1

ctri(x)

Centered Triangular Sequence

Formula: 1.5x(x - 1) + 1

csq(x)

Centered Square Sequence

Formula: x² + (x - 1)²

cedge(x)

Edges in an X-D Cube

Formula: 0.5x * 2^x

P(x)

Probability*

lim x→y f(x)

Limit*

HH:mm:ss

24 Hour Standard Time*

UTC+x

UTC Timezone*

y ∝ x

Proportional*

y ∝ x

Inversely Proportional*

^a⁄_b ⊕ ^c⁄_d

Naive Fraction Sum*

^a⁄_b ⊖ ^c⁄_d

Naive Fraction Difference*

l₁ ☆ l₂

Convolution*

C₁ • C₂

Dot Product

v⃗

Vector*

ζ(x)

Zeta Function*

p_n

nth Prime Number*

mode(l)

Mode*

reverse(l)

Reverse List*

concat(x, y)

Number Concatenation*

###-###-####

Phone Number*

d MMM yyyy

Date*

∀x

For All X*

∃x

There Exists X*

partition(n, m)

Count of Partitions into M Parts*

histogram(l)

View Histogram

boxplot(l)

View Box Plot

dotplot(l)

View Dot Plot

rgb(x, y, z)

RGB Colour

hsv(x, y, z)

HSV Colour

polygon(C₁ ... C_n)

Polygon

tone(x, v)

Frequency Tone

[x...y]

List of Integers X-Y

{...}

Piecewise Rule

·

Roman Fraction 1/12*

:

Roman Fraction 2/12*

⸫

Roman Fraction 3/12*

⸬

Roman Fraction 4/12*

:·:

Roman Fraction 5/12*

S

Roman Fraction 1/2*

L

Liter*

A

Ampere*

lx

Lux*

≪

WAY Less Than*

≫

WAY Greater Than*

Γ(x)

Gamma Function

Formula: (x - 1)!

g_n

Graham's Number nth Iteration*

BB(n)

Busy Beaver Function*

Rayo(n)

Rayo Function*

Fish(n)

Fish Number Function*

∄x

There Does Not Exist X*

ℙ

Set of Prime Numbers*

ℍ

Set of Quaternions*

î

Quaternion Unit 1*

ĵ

Quaternion Unit 2*

k̂

Quaternion Unit 3*

≔

Is Defined As*

𝔸

Set of Algebraic Complex Numbers*

𝔸_R

Set of Algebraic Real Numbers*

𝕋

Set of Transcendental Complex Numbers*

𝕋_R

Set of Transcendental Real Numbers*

𝕋𝔻

Set of Terminating Decimals*

ℝ𝔻

Set of Repeating Decimals*

x.yz̅

Repeating Decimal Overline*

x / y

Inline Division*

undefined

Undefined

Formula: ⁰⁄₀ ;-)

NaN

Not a Number*

null

Null*

A x B

Cartesian Product*

𝕆

Set of Octonions*

𝕊

Set of Sedenions*

ℍℝ

Set of Hyperreals*

ℍℂ

Set of Hypercomplex Numbers*

x→y⁺

Limit from Positive Side*

x→y⁻

Limit from Negative Side*

v ⊗ w

Tensor Product*

y₁ ~ f(x₁)

Regression

det(A)

Determinant of Matrix*

inv(A)

Inverse of Matrix*

[I]

Identity Matrix*

A^T

Transpose Matrix*

λ

Eigenvalue*

λv⃗

Eigenvector*

leafCount(expr)

Expression Leaf Count*

simplify(expr)

Simplify Expression*

x++

Increment of X

Formula: x + 1

x--

Decrement of X

Formula: x - 1

x^-1

Multiplicative Inverse of X

Formula: ¹⁄_x

AB←―→

Line AB*

AB――→

Ray AB*

AB―――

Line Segment AB*

∠A

Angle A*

△ABC

Triangle ABC*

◿ABC

Right Triangle ABC*

□ABCD

Quadrilateral ABCD*

ce(x, y)

Commutative Exponent

Formula: exp(ln(x) * ln(y))

sa(x, y)

Subaddition

Formula: ln(exp(x) + exp(y))

G₁ ≅ G₂

Geometric Congruence*

G₁ ≋ G₂

Geometric Similarity*

0x

Hexadecimal Indicator*

↊

Duodecimal Digit Dek*

↋

Duodecimal Digit El*

x^g

Gradian*

°C

Degrees Celsius*

TREE(n)

TREE Function*

y)x̅

Long Division*

[a₁ ...

⁝ ‌ ‌ a_n]

2D Matrix*

√3

Root 3

√5

Root 5

A

Hexadecimal Digit 10*

B

Hexadecimal Digit 11*

C

Hexadecimal Digit 12*

D

Hexadecimal Digit 13*

E

Hexadecimal Digit 14*

F

Hexadecimal Digit 15*

ⅈ₃₂

Set of 32-dimensional Numbers*

ⅈ₆₄

Set of 64-dimensional Numbers*

ⅈ_2ⁿ

Set of 2ⁿ-dimensional Numbers*

ⅈ

Set of All Possible "-onion" Numbers*

ly

Light Year

Formula: 9460536207068016 m

Pa

Pascal*

J

Joule*

W

Watt*

N

Newton*

\u[HEX]

Unicode Codepoint*

^△√(x)

Triangular Root

Formula: 0.5√(8x + 1) - 0.5

^⬡√(x)

Centered Hex Root

Formula: ^{√(4x - 1)}⁄_2√(3) + 0.5

∟A

Right Angle A*

rgb(0, 0, 0)

Black

rgb(255, 255, 255)

White

rgb(255, 0, 0)

Red

rgb(0, 255, 0)

Green

rgb(0, 0, 255)

Blue

rgb(0, 255, 255)

Cyan

rgb(255, 0, 255)

Magenta

rgb(255, 255, 0)

Yellow

ha

Hectare*

unix

Unix Milliseconds*

ms

Milliseconds*

xᵐ"

Arcmilliseconds*

log2(x)

Logarithm Base 2

log10(x)

Logarithm Base 10

slog_y(x)

Tetrational Logarithm*

s(n)log_y(x)

Hyperoperational Logarithm*

x ↑↑↑ n

Pentation*

x 号 y

Arbitrary Operation*

𝅝

Whole Note*

𝅗𝅥

1/2 Note*

♩

1/4 Note*

♪

1/8 Note*

𝅘𝅥𝅯

1/16 Note*

𝅘𝅥𝅰

1/32 Note*

𝅘𝅥𝅱

1/64 Note*

𝅘𝅥𝅲

1/128 Note*

♫

Beamed 1/8 Notes*

♬

Beamed 1/16 Notes*

♬—

Beamed 1/32 Notes*

♭

Flat Sign*

♮

Natural Sign*

♯

Sharp Sign*

𝄞

Treble Sign*

𝄢

Bass Sign*

x ? y

Unknown Comparison*

∛(x)

Cube Root

∜(x)

Fourth Root

exp2(x)

Power of 2

exp10(x)

Power of 10

2×

Double*

3×

Triple*

10×

Decuple*

a×

a-tuple*

n ∣ m

Divides*

n ∤ m

Does Not Divide*

⋘

ASTRONOMICALLY Less Than*

⋙

ASTRONOMICALLY Greater Than*

⊤

True Sign*

⊥

False Sign*

x ↦ y

Function Mapping*

∴

Therefore*

∵

Because*

∓

Minus-Plus*

⋇

Division-Times*

≟

Possibly Equal To*

⩻

Possibly Less Than*

⩼

Possibly Greater Than*

⚀

Die Face 1*

⚁

Die Face 2*

⚂

Die Face 3*

⚃

Die Face 4*

⚄

Die Face 5*

⚅

Die Face 6*

prod(l)

List Product*

∬

Double Integral*

∭

Triple Integral*

∮

Contour Integral*

∯

Surface Integral*

∰

Volume Integral*

x‱ of y

Permyriad

x‱

Isolated Permyriad

𝕡

Set of Polynomials*

𝕞

Set of Matrices*

𝕖

Set of Even Integers*

𝕠

Set of Odd Integers*

𝕝

Set of Linear Expressions*

𝕢

Set of Quadratic Expressions*

δx

Tiny Difference*

∆x

Tiny Increase*

∇x

Tiny Decrease*

η(x)

Eta (alternating zeta) Function*

har(x)

Harmonic Function*

⩰

VERY Close to Being Equal*

⨧

Add, then Double*

⃤n

Traingle Operation*

⃞n

Square Operation*

⃝n

Circle Operation*

∂

Partial Differential*

x ÷ y

Alternate Division Sign*

∅

Alternate Empty Set*

∿

Sine Wave*

⟨

Left Bra-Ket*

⟩

Right Bra-Ket*

Ⓗ

Heads*

Ⓣ

Tails*

𝒵

Zillion*

illion(x)

"-illion" Function

⁈

Unknown Mathematical Object

●︎

Circle*

■︎

Square*

▲︎

Upward Triangle*

▶︎

Rightward Triangle*

▼︎

Downward Triangle*

◀︎

Leftward Triangle*

▬︎

Horizontal Rectangle*

▮︎

Vertical Rectangle*

♥︎

Heart*

★︎

Star*

▤︎

Grid Rows*

▥︎

Grid Columns*

▦︎

Grid*

🔥︎

Hot Temperature*

❄︎

Cold Temperature*

🖩︎

Calculator*

⏰︎

Clock*

☀︎

Sun*

🌅︎

Sunrise*

🌇︎

Sunset*