mariuszgromada/MathParser.org-mXparser

Math Parser Java Android C# .NET/MONO (.NET Framework, .NET Core, .NET Standard, .NET PCL, Xamarin.Android, Xamarin.iOS) CLS Library - a super easy, rich and flexible mathematical expression parser (expression evaluator, expression provided as plain text / strings) for JAVA and C#. Main features: rich built-in library of operators, constants, math functions, user defined: arguments, functions, recursive functions and general recursion (direct / indirect). Additionally parser provides grammar and internal syntax checking. https://mathparser.org/

Download

Step 1. Add the JitPack repository to your build file

Add it in your root build.gradle at the end of repositories:

	dependencyResolutionManagement {
		repositoriesMode.set(RepositoriesMode.FAIL_ON_PROJECT_REPOS)
		repositories {
			mavenCentral()
			maven { url 'https://jitpack.io' }
		}
	}

	<repositories>
		<repository>
		    <id>jitpack.io</id>
		    <url>https://jitpack.io</url>
		</repository>
	</repositories>

Add it in your build.sbt at the end of resolvers:

 
    resolvers += "jitpack" at "https://jitpack.io"

Add it in your project.clj at the end of repositories:

 
    :repositories [["jitpack" "https://jitpack.io"]]

Step 2. Add the dependency

	dependencies {
		implementation 'com.github.mariuszgromada:mXparser:'
	}

	<dependency>
	    <groupId>com.github.mariuszgromada</groupId>
	    <artifactId>mXparser</artifactId>
	    <version></version>
	</dependency>


                            
    libraryDependencies += "com.github.mariuszgromada" % "mXparser" % ""


                            
    :dependencies [[com.github.mariuszgromada/mXparser ""]]

Readme

MathParser.org-mXparser has been downloaded more than 3,000,000 times!

mXparser - a super easy, rich and highly flexible Mathematical Expression Parser (Math Parser, Expression Evaluator) library for JAVA, Android, C# .NET, TypeScript and JavaScript.

v.5.2.1 (2023-02-08): Orion: Improvement and standardization of descriptions and messages. Definition of your own translations. Exporting help in multiple formats. Clones for thread safe. Performance improvement.

v.5.1 Libris: Implied Multiplication, Unicode Math Symbols, Additional Probability Distributions, Calculation Steps Register, Serialization Support

Implied Multiplication, click to see usage example
Unicode Math Symbols, click to see usage example
Calculation Steps Register, click to see usage example
Serialization Support, click to see usage example
An Attempt To Fix Expression String
Student's t-distribution: Probabilisty Density Function, Cumulative Distribution Function, Quantile Function
Chi-Squared Distribution: Probabilisty Density Function, Cumulative Distribution Function, Quantile Function
F-Snedecor Distribution: Probabilisty Density Function, Cumulative Distribution Function, Quantile Function
Minor Bug fixing: 259, 258, 252, 261, 262, 263, 271, 269, 268, 266, 265
Regression tests refactoring

Package installation

Nuget - Packgae Manager

Install-Package MathParser.org-mXparser -Version 5.2.1

Nuget – .NET CLI

dotnet add package MathParser.org-mXparser --version 5.2.1

Nuget – Package Reference

<PackageReference Include="MathParser.org-mXparser" Version="5.2.1"/>

Maven - Dependency

<dependency>
    <groupId>org.mariuszgromada.math</groupId>
    <artifactId>MathParser.org-mXparser</artifactId>
    <version>5.2.1</version>
</dependency>

Maven - Gradle

implementation 'org.mariuszgromada.math:MathParser.org-mXparser:5.2.1'

Maven – Gradle (Kotlin)

implementation("org.mariuszgromada.math:MathParser.org-mXparser:5.2.1")

NPM

$ npm i mathparser.org-mxparser

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MathParser.org-mXparser

mXparser is a highly flexible parser of mathematical expressions provided as text. Software delivers easy to use API for JAVA, C# .NET, TypeScript and JavaScript.

Supported frameworks

mXparser frameworks

JAVA: 6+
Android - tested with mxparser compiled using jdk 1.7
.NET Framework (2+) / MONO CLS, .NET Core: 1+, .NET Standard: 1+, .NET PCL
Xamarin
TypeScript, JavaScript
Chrome, Firefox, MS Edge, Safari
nodeJS

Tutorial

The tutorial consists of c.a. 180 live examples from c.a. 40 sections. Each of the examples can be copied and run on your own environment. In addition, mXparser provides an extensive collection of over 500 built-in math functions, expressions and symbols. Familiarize yourself with the scope and the syntax. Live testing is the best way to learn. Good luck!

Using internal help

Full help content
In-line help searching

Simple expressions
Simple calculation
Changing expression string
Using operators
Power function
Using numbers in scientific notation
Percent sign
Leading zeros

Implied multiplication
Numbers and parenthesis
Numbers and constants / arguments
Numbers and constants / arguments and parenthesis
Numbers and constants / arguments and parenthesis and functions
Implied multiplication and possible ambiguity
Implied multiplication and list of tokens
Enable / disable implied multiplication

Evaluating relations
Binary relation “=”
Binary relation “<“
Boolean operator “OR”
Boolean operator “AND”

Using built-in functions
Unary function
Binary function
Function with 3 arguments
Function with n-arguments
Function with even number of arguments

User defined constants
Defining constant – various options

User defined arguments
Dealing with free arguments
Defining dependent arguments
Implementing your own Argument Extension
Getting list of missing user defined arguments
Possible conflict between Implied Multiplication and getting list of missing user defined arguments + recommended solutions

User defined functions
Fast function definition (performance of creation)
Handy function constructor, but slower proces of function creation (performance of creation slower, but calculation the same)
Function with more parameters
Function in function
Implementing your own Function Extension
Getting list of missing user defined functions
Possible conflict between Implied Multiplication and getting list of missing user defined functions + recommended solutions

Expression pre-compilation
What is pre-compilation?
When is pre-compilation done?
When is pre-compilation done again?
An example of bad practice in computing the value of an expression for a changing argument value
An example of good practice in computing the value of an expression for a changing argument value

Variadic user defined functions
Function returning number of parameters provided
Function returning sum of first and last parameter provided
Function returning parameter at position defined by the first parameter
Function returning sum of all parameters squared
Implementing your own Variadic Function Extension

“if” and “iff” functions
Mechanics of the if function
“if” function and arguments
“if” function in user defined function
Mechanics of the “iff” function
iff function is not limited in number of cases

Summation & Product iterated operators
SIGMA summation operator
PI product operator
SIGMA summation operator – Approximating sin(x) by Taylor series
SIGMA summation operator – Approximating pi value by integrating sqrt(1-x^2)

Derivatives & Integrals
General derivative
Left / right derivative
Derivative from more complex function
Derivative – alternative syntax
Integrals – calculating pi by integration sqrt(1-x^2)

Solving equation f(x) = 0
Solve 2x-4 = 0 for x in [0, 10]
Solve cos(x) = 0 for x in [0, pi]
Solve cos(x) = 0 for x in [pi, pi] (root not bracketed)
Solve x-y = 0 for x in [0, 10] and y = 4
Solve sin'(x) = 0 for x in [0, pi]

Prime Numbers
Primality test function
Primes counting function
Using built-in primes cache to accelerate calculations
Estimating number of primes using Offset logarithmic integral function
Prime factorization

Built-in constants
Using built-in constants
Estimating Moon gravitational acceleration
Getting list of constants

Built-in Units
Units of length / distance
Units of time
Units of information
Units of volume
Express 4 feet in inches
Express in square kilometers the area of a rectangle measuring 100 meters by 2 kilometers
List of supported units

Built-in Metric prefixes
Example: 10 Millions / Kilo
List of supported metric prefixes

PDF, CDF and Quantile functions
Expected value estimation using Probability Distribution Function
Probability estimation using Cumulative Distribution Function – the law of 3*SIGMA
Calculating quantiles using Inverse Cumulative Distribution Function – males height example assuming males height distribution N(170, 15)

Random numbers
Random number from uniform continuous distribution
Random number from uniform discrete distribution
Random number from normal distribution
Random number from a given list
Estimating mean of Normal distribution
Estimating standard deviation of Normal distribution
Estimating variance of Normal distribution

Built-in Random Variables
Random integer
Random integer N: -10^k <= N <= 10^k for k = 1, 2, …,9
Random natural number
Random natural number N <= 10^k for k = 1, 2, …,9
Uniform continuous distribution U(0,1)
Normal distribution N(0,1)

User defined Random Variables
Dependent argument as user defined random variable
User defined function as user defined random variable – random walk example

Bitwise Operators
Bitwise unary complement
Bitwise AND
Bitwise exclusive OR
Bitwise inclusive OR
Signed left / right shift

Fractions
Fraction (proper) as Number Literal
Improper Fraction as Number Literal
Fraction (Mixed Number) as Number Literal
Fraction (Mixed Numer) and Improper Fraction in one Number Literal
Operations on Fractions
Represent double as Fraction

Various numeral systems
Binary number
Octal number
Hexadecimal number
Unary number
Unary zero
Base 1 – 36 number literals
Base N numeral system

Fast (limited) user defined recursion
Fibonacci numbers using fast recursion

User defined recursion – not limited
Fibonacci numbers using user defined recursive function
Number of recursive parameters is not limited – binomial coefficient definition using user defined recursive function
Mixing function parameters – part causing recursive calls, other part as ‘typical’ parameter. Below example is presenting definition of Chebyshev polynomial using recursive function.
Indirect recursion – approximating sin(x) and cos(x)

Unicode math
The square root √
The square root of the square root √√
The square root and parenthesis √()
The roots of various orders ∜ ∛ √
SIGMA summation operator ∑
Unicode name of a user defined argument
Show all Unicode built-in keywords
Enable / disable Unicode built-in keywords
List of Unicode symbols that grammar accepts

Working with NaN – Not-a-Number
NaN in condition
NaN symbol
First non-NaN value

Radians Mode / Degrees Mode
Basic trigonometric function
Inverse trigonometric function
Using units of angle being in radians mode

Calculation Steps Register
Simple Expression
Dependent User Argument
User Function
Expression referencing User Argument and User Function

Inspecting calculation process
Setting the verbose mode
Syntax checking
Lexical syntax checking
Getting computing time

Playing with expression tokens
Printing expression tokens
Using tokens to print expression in a fancy way
Playing with invalid tokens

Built-in tokens (key words) manipulation
Removing built-in tokens
Modifying built-in tokens
Overriding built-in tokens

Smart rounding settings
A few words on Floating Point Math
Why mXparser is based on the double data type?
Smart rounding options available in mXparser
Check which rounding settings are currently active
Example - Only Canonical Rounding option is active
Example - Only Unit In The Last Place Rounding option is active
Example - Only Almost Integer Rounding option is active
Example - None of the rounding options are active

Efficient calculations in the loops
User expression in the loop + output
User function in the loop + output
User argument (dependent) in the loop + output
User expression in the loop – Performance
User function in the loop – Performance
User argument (dependent) in the loop – Performance

Extensive list of settings
Degrees / Radians Mode
Attempt To Fix Expression String Mode
Primes Cache
Epsilon Comparison / Exact Comparison Mode
Canonical Rounding Mode
ULP (Unit In The Last Place) Rounding Mode
Almost Integers Rounding Mode
Implied Multiplication Mode
Unicode Builtin Key Words Mode
Verbose / Silent Mode
Override Builtin Tokens Mode
Modify Builtin Tokens Mode
Remove Builtin Tokens Mode
Current Calculation Cancellation
Setting Console Prefix
Reaching Console Output String
Maximum Allowed Recursion Depth
Double to Fraction Conversion
Random Generator Selection
Maximum Threads Number
Default Settings

Serialization & Deserialization
SerializationUtils class
Binary serialization SECURITY WARNING
Enabling / Disabling binary serialization
Expression serialization / deserialization from / to byte[]
Expression serialization / deserialization from / to String
Expression serialization / deserialization from / to File
Serialization / Deserialization of complex objects

>>> Click to learn from examples <<<

Math Collection

mXparser provides a rich collection of built-in math functions, math expressions, and math symbols. Familiarize yourself with the scope and the syntax. Math collection internal help is also available directly from the software – see the tutorial and the API documentation for all the details.

- Operators

- Binary Relations

- Boolean Operators

- Bitwise Operators

- Unary Functions

- Binary Functions

- 3-args Functions

- Variadic Functions

- Random Variables

- Iterated Operators

- Calculus Operators

- Mathematical Constants

- Physical Constants

- Astronomical Constants

- Metric prefixes

- Units

- Parser Symbols

- Number formats

API documentation

- API documentation

Did you find the software useful?

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purchase the commercial license from here or from here

JAVA intro

mXparser demo

C# intro

mXparser demo - csharp

TypeScript intro

mXparser demo - TypeScript

Main functionalities:

basic operators, i.e.: +, -, *, ^, !
Boolean logic operators i.e.: or, and, xor
binary relations i.e.: =, <, >
math functions (large library of 1-arg, 2-arg, 3-arg - functions) i.e.: sin, cos, Stirling numbers, log, inverse functions
constants (large library), i.e.: pi, e, golden ratio
n-args functions, i.e.: greatest common divisor
iterated summation and product operators
differentiation and integration

High flexibility functionalities

user defined constants and arguments, both free - and dependent on other arguments + possibility of use in functions
user defined functions (both free and depended)
user defined recursive arguments + simple (controlled) recursion (1 recursive argument)
user defined recursive functions / expressions (any) - complex, many arguments, no limitation
internal syntax checking
internal help
other useful functionalities, i.e.: computing time, expression description.

Project documentation

- mXparser - API (english)

- mXparser - WIKI (english)

- mXparser - Tutorial (english)

- MathSpace.pl - site about math with mXparser examples (polish)

- MathParser.org - site about mXparser (english)

mXparser in nutshell

You want simple calculator...

calc

Expression e = new Expression("2+3");
e.calculate();

:+1:

A calculator supporting parenthesis...

parenth

Expression e = new Expression("2+(3-5)^2");
e.calculate();

:+1:

You care about predefined constants...

const

Expression e = new Expression("2*pi");
e.calculate();

:+1:

You need to define your own constants...

const-user

Constant tau = new Constant("tau = 2*pi");
Expression e = new Expression("3*tau", tau);
e.calculate();

:+1:

You enjoy using many built-in functions...

sinx

Expression e = new Expression("sin(2*pi)");
e.calculate();

:+1:

You do not limit yourself to unary functions...

fun-variadic

Expression e = new Expression("gcd(2,5,10,30)");
e.calculate();

:+1:

What about user defined arguments...

arg-free

Argument x = new Argument("x = 5");
Expression e = new Expression("sin(x)", x);
e.calculate();

:+1:

You are considering dependent arguments...

arg-dep

Argument x = new Argument("x = 5");
Argument y = new Argument("y = 2*x", x);
Expression e = new Expression("sin(y)", y);
e.calculate();

:+1:

You need to apply some logic...

if-then

Argument x = new Argument("x = 5");
Expression e = new Expression("if(sin(x) > 5, 1, 0)", x);
e.calculate();

:+1:

Yes, you are right, there is a support for Boolean algebra!

true-false

Expression e = new Expression("5=6");
e.calculate();

:+1:

And for binary relations as well!

Expression e = new Expression("5 <= 6");
e.calculate();

:+1:

mXparser is cool! But this is only the beginning, we are just warming up!

You want to play with iterated operators...

sum

Expression e = new Expression("sum(i, 1, 10, 2*i^2 + pi)");
e.calculate();

:+1:

You want to iterate differently by not necessarily whole numbes...

prod

Expression e = new Expression("prod(i, 1, 5, i, 0.5)");
e.calculate();

:+1:

You want to have more fun with math...

Argument x = new Argument("x = pi/2");
Expression e20 = new Expression("sum(n,0,10,(-1)^n*(x^(2*n+1))/(2*n+1)!)", x);
e.calculate();

:+1:

You still want more fun with calculus operations, i.e. differentiation...

der

Argument x = new Argument("x = pi/2");
Expression e = new Expression("cos(x)-der(sin(x), x)", x);
e.calculate();

:+1:

And definite integrals as well...

int

Expression e = new Expression("2*int(sqrt(1-x^2), x, -1, 1)");
e.calculate();

:+1:

mXparser is even cooler! It is time to ask about ...

user defined functions...

fun-user

Function f = new Function("f(x,y) = sin(x) + cos(y)");
f.calculate(1,2);
Expression e = new Expression("f(1,2) - 10", f);
e.calculate();

:+1:

Recursion is your desire...

recur

Function f = new Function("f(n) = if( n>0, n*f(n-1), 1)");
f.calculate()

:+1:

Any kind of recursion...

Function Cnk = new Function("Cnk(n,k) = if(k>0, if(k<n, Cnk(n-1,k-1)+Cnk(n-1,k), 1), 1)");
Cnk.calculate()

:+1:

If anything above matches you then mXparser is a good choice!

mXparser can interact with end users as it supports syntax checking.

syntax

Expression e = new Expression("2+1/a");
e.checkSyntax();
mXparser.consolePrintln(e.getErrorMessage());

Built-in tokens

Number format

|Key word|Category|Description|Example|Since| |---|---|---|---|---| |Number|Decimal Number|Decimal number|1, 1.5, -2.3|1.0| |Number|Decimal Number|Decimal number - scientific notation|1.2e10, -2.4e-10, 2.3E+10|4.0| |Number|Binary Number|Binary number - number literal| b.10101, B.10101, b2.10010|4.1| |Number|Octal Number|Octal number - number literal| o.1027, O.1027, b8.1027|4.1| |Number|Hexadecimal Number|Hexadecimal number - number literal| h.12fE, H.12fE, b16.12fE|4.1| |Number|Unary Number|Unary number - number literal| b1.111 , B1.111|4.1| |Number|Base 1-36|Base 1-36 number - number literal| bN.xxxx , BN.xxxx|4.1| |Number|Fraction|Number literal as fraction| 1_2 , 2_3_4, 172_345, 345_172 |4.3|

Operators

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |+|Operator|a + b|1.0|Addition - Operator| |-|Operator|a - b|1.0|Subtraction - Operator| |*|Operator|a * b|1.0|Multiplication - Operator| |×|Operator|a × b|5.0|Multiplication - Operator - Unicode math symbol| |⨉|Operator|a ⨉ b|5.0|Multiplication - Operator - Unicode math symbol| |∙|Operator|a ∙ b|5.0|Multiplication - Operator - Unicode math symbol| |/|Operator|a / b|1.0|Division - Operator| |÷|Operator|a ÷ b|5.0|Division - Operator - Unicode math symbol| |^|Operator|a^b|1.0|Exponentiation - Operator| |!|Operator|n!|1.0|Factorial - Operator| |#|Operator|a # b|1.0|Modulo - Operator| |%|Operator|n%|4.1|Percentage - Operator| |^^|Operator|a^^b|4.2|Tetration (hyper-4, power tower, exponential tower) - Operator| |√|Operator|√x|5.0|Square root - Operator - Unicode math symbol| |∛|Operator|∛x|5.0|Cube root - Operator - Unicode math symbol| |∜|Operator|∜x|5.0|Fourth root - Operator - Unicode math symbol|

Boolean Operators

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |&|Boolean operator|p & q|1.0|Logical conjunction AND - Boolean operator| |∧|Boolean operator|p ∧ q|5.0|Logical conjunction AND - Boolean operator - Unicode math symbol| |&&|Boolean operator|p && q|1.0|Logical conjunction AND - Boolean operator| |/\ |Boolean operator|p /\ q|1.0|Logical conjunction AND - Boolean operator| |⊼|Boolean operator|p ⊼ q|5.0|Sheffer stroke NAND - Boolean operator - Unicode math symbol| |~&|Boolean operator|p ~& q|1.0|Sheffer stroke NAND - Boolean operator| |~∧|Boolean operator|p ~∧ q|5.0|Sheffer stroke NAND - Boolean operator - Unicode math symbol| |¬&|Boolean operator|p ¬& q|5.0|Sheffer stroke NAND - Boolean operator - Unicode math symbol| |¬∧|Boolean operator|p ¬∧ q|5.0|Sheffer stroke NAND - Boolean operator - Unicode math symbol| |~&&|Boolean operator|p ~&& q|1.0|Sheffer stroke NAND - Boolean operator| |~/\ |Boolean operator|p ~/\ q|1.0|Sheffer stroke NAND - Boolean operator| |¬&&|Boolean operator|p ¬&& q|5.0|Sheffer stroke NAND - Boolean operator - Unicode math symbol| |¬/\ |Boolean operator|p ¬/\ q|5.0|Sheffer stroke NAND - Boolean operator - Unicode math symbol| |||Boolean operator|p | q|1.0|Logical disjunction OR - Boolean operator| |∨|Boolean operator|p ∨ q|5.0|Logical disjunction OR - Boolean operator - Unicode math symbol| ||||Boolean operator|p || q|1.0|Logical disjunction OR - Boolean operator| |\/|Boolean operator|p \/ q|1.0|Logical disjunction OR - Boolean operator| |⊽|Boolean operator|p ⊽ q|5.0|Logical not or (joint denial) NOR - Boolean operator - Unicode math symbol| |~||Boolean operator|p ~| q|1.0|Logical not or (joint denial) NOR - Boolean operator| |~∨|Boolean operator|p ~∨ q|5.0|Logical not or (joint denial) NOR - Boolean operator - Unicode math symbol| |¬||Boolean operator|p ¬| q|5.0|Logical not or (joint denial) NOR - Boolean operator - Unicode math symbol| |¬∨|Boolean operator|p ¬∨ q|5.0|Logical not or (joint denial) NOR - Boolean operator - Unicode math symbol| |~|||Boolean operator|p ~|| q|1.0|Logical not or (joint denial) NOR - Boolean operator| |~\/|Boolean operator|p ~\/ q|1.0|Logical not or (joint denial) NOR - Boolean operator| |¬|||Boolean operator|p ¬|| q|5.0|Logical not or (joint denial) NOR - Boolean operator - Unicode math symbol| |¬\/|Boolean operator|p ¬\/ q|5.0|Logical not or (joint denial) NOR - Boolean operator - Unicode math symbol| |⊻|Boolean operator|p ⊻ q|5.0|Exclusive or XOR - Boolean operator - Unicode math symbol| |(+)|Boolean operator|p (+) q|1.0|Exclusive or XOR - Boolean operator| |⇒|Boolean operator|p ⇒ q|5.0|Implication IMP - Boolean operator - Unicode math symbol| |-->|Boolean operator|p --> q|1.0|Implication IMP - Boolean operator| |⇐|Boolean operator|p ⇐ q|5.0|Converse implication CIMP - Boolean operator - Unicode math symbol| |<--|Boolean operator|p <-- q|1.0|Converse implication CIMP - Boolean operator| |⇏|Boolean operator|p ⇏ q|5.0|Material nonimplication NIMP - Boolean operator - Unicode math symbol| |-/>|Boolean operator|p -/> q|1.0|Material nonimplication NIMP - Boolean operator| |⇍|Boolean operator|p ⇍ q|5.0|Converse nonimplication CNIMP - Boolean operator - Unicode math symbol| |</-|Boolean operator|p </- q|1.0|Converse nonimplication CNIMP - Boolean operator| |⇔|Boolean operator|p ⇔ q|5.0|Logical biconditional EQV - Boolean operator - Unicode math symbol| |<->|Boolean operator|p <-> q|1.0|Logical biconditional EQV - Boolean operator| |~|Boolean operator|~p|1.0|Negation - Boolean operator| |¬|Boolean operator|¬p|5.0|Negation - Boolean operator - Unicode math symbol|

Bitwise Operators

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |@~|Bitwise operator|@~a|4.0|Bitwise unary complement - Bitwise operator| |@&|Bitwise operator|a @& b|4.0|Bitwise and AND - Bitwise operator| |@^|Bitwise operator|a @^ b|4.0|Bitwise exclusive or XOR - Bitwise operator| |@||Bitwise operator|a @| b|4.0|Bitwise inclusive or OR - Bitwise operator| |@<<|Bitwise operator|a @<< b|4.0|Signed left shift - Bitwise operator| |@>>|Bitwise operator|a @>> b|4.0|Signed right shift - Bitwise operator|

Binary Relations

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |=|Binary relation|a = b|1.0|Equality - Binary relation| |==|Binary relation|a == b|1.0|Equality - Binary relation| |≠|Binary relation|a ≠ b|5.0|Inequation - Binary relation - Unicode math symbol| |<>|Binary relation|a <> b|1.0|Inequation - Binary relation| |~=|Binary relation|a ~= b|1.0|Inequation - Binary relation| |!=|Binary relation|a != b|1.0|Inequation - Binary relation| |<|Binary relation|a < b|1.0|Lower than - Binary relation| |>|Binary relation|a > b|1.0|Greater than - Binary relation| |≤|Binary relation|a ≤ b|5.0|Lower or equal - Binary relation - Unicode math symbol| |⋜|Binary relation|a ⋜ b|5.0|Lower or equal - Binary relation - Unicode math symbol| |<=|Binary relation|a <= b|1.0|Lower or equal - Binary relation| |≥|Binary relation|a ≥ b|5.0|Greater or equal - Binary relation - Unicode math symbol| |⋝|Binary relation|a ⋝ b|5.0|Greater or equal - Binary relation - Unicode math symbol| |>=|Binary relation|a >= b|1.0|Greater or equal - Binary relation|

Unary Functions

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |sin|Unary function|sin(x)|1.0|Trigonometric sine - Unary function| |cos|Unary function|cos(x)|1.0|Trigonometric cosine - Unary function| |tg|Unary function|tg(x)|1.0|Trigonometric tangent - Unary function| |tan|Unary function|tan(x)|1.0|Trigonometric tangent - Unary function| |ctg|Unary function|ctg(x)|1.0|Trigonometric cotangent - Unary function| |cot|Unary function|cot(x)|1.0|Trigonometric cotangent - Unary function| |ctan|Unary function|ctan(x)|1.0|Trigonometric cotangent - Unary function| |sec|Unary function|sec(x)|1.0|Trigonometric secant - Unary function| |csc|Unary function|csc(x)|1.0|Trigonometric cosecant - Unary function| |cosec|Unary function|cosec(x)|1.0|Trigonometric cosecant - Unary function| |asin|Unary function|asin(x)|1.0|Inverse trigonometric sine - Unary function| |arsin|Unary function|arsin(x)|1.0|Inverse trigonometric sine - Unary function| |arcsin|Unary function|arcsin(x)|1.0|Inverse trigonometric sine - Unary function| |acos|Unary function|acos(x)|1.0|Inverse trigonometric cosine - Unary function| |arcos|Unary function|arcos(x)|1.0|Inverse trigonometric cosine - Unary function| |arccos|Unary function|arccos(x)|1.0|Inverse trigonometric cosine - Unary function| |atg|Unary function|atg(x)|1.0|Inverse trigonometric tangent - Unary function| |atan|Unary function|atan(x)|1.0|Inverse trigonometric tangent - Unary function| |arctg|Unary function|arctg(x)|1.0|Inverse trigonometric tangent - Unary function| |arctan|Unary function|arctan(x)|1.0|Inverse trigonometric tangent - Unary function| |actg|Unary function|actg(x)|1.0|Inverse trigonometric cotangent - Unary function| |acot|Unary function|acot(x)|1.0|Inverse trigonometric cotangent - Unary function| |actan|Unary function|actan(x)|1.0|Inverse trigonometric cotangent - Unary function| |arcctg|Unary function|arcctg(x)|1.0|Inverse trigonometric cotangent - Unary function| |arccot|Unary function|arccot(x)|1.0|Inverse trigonometric cotangent - Unary function| |arcctan|Unary function|arcctan(x)|1.0|Inverse trigonometric cotangent - Unary function| |ln|Unary function|ln(x)|1.0|Natural logarithm (base e) - Unary function| |log2|Unary function|log2(x)|1.0|Binary logarithm (base 2) - Unary function| |lg|Unary function|lg(x)|5.0|Common logarithm (base 10) - Unary function| |log10|Unary function|log10(x)|1.0|Common logarithm (base 10) - Unary function| |rad|Unary function|rad(x)|1.0|Degrees to radians - Unary function| |exp|Unary function|exp(x)|1.0|Exponential - Unary function| |sqrt|Unary function|sqrt(x)|1.0|Squre root - Unary function| |sinh|Unary function|sinh(x)|1.0|Hyperbolic sine - Unary function| |cosh|Unary function|cosh(x)|1.0|Hyperbolic cosine - Unary function| |tgh|Unary function|tgh(x)|1.0|Hyperbolic tangent - Unary function| |tanh|Unary function|tanh(x)|1.0|Hyperbolic tangent - Unary function| |coth|Unary function|coth(x)|1.0|Hyperbolic cotangent - Unary function| |ctgh|Unary function|ctgh(x)|1.0|Hyperbolic cotangent - Unary function| |ctanh|Unary function|ctanh(x)|1.0|Hyperbolic cotangent - Unary function| |sech|Unary function|sech(x)|1.0|Hyperbolic secant - Unary function| |csch|Unary function|csch(x)|1.0|Hyperbolic cosecant - Unary function| |cosech|Unary function|cosech(x)|1.0|Hyperbolic cosecant - Unary function| |deg|Unary function|deg(x)|1.0|Radians to degrees - Unary function| |abs|Unary function|abs(x)|1.0|Absolut value - Unary function| |sgn|Unary function|sgn(x)|1.0|Signum - Unary function| |floor|Unary function|floor(x)|1.0|Floor - Unary function| |ceil|Unary function|ceil(x)|1.0|Ceiling - Unary function| |not|Unary function|not(x)|1.0|Negation - Unary function| |asinh|Unary function|asinh(x)|1.0|Inverse hyperbolic sine - Unary function| |arsinh|Unary function|arsinh(x)|1.0|Inverse hyperbolic sine - Unary function| |arcsinh|Unary function|arcsinh(x)|1.0|Inverse hyperbolic sine - Unary function| |acosh|Unary function|acosh(x)|1.0|Inverse hyperbolic cosine - Unary function| |arcosh|Unary function|arcosh(x)|1.0|Inverse hyperbolic cosine - Unary function| |arccosh|Unary function|arccosh(x)|1.0|Inverse hyperbolic cosine - Unary function| |atgh|Unary function|atgh(x)|1.0|Inverse hyperbolic tangent - Unary function| |atanh|Unary function|atanh(x)|1.0|Inverse hyperbolic tangent - Unary function| |arctgh|Unary function|arctgh(x)|1.0|Inverse hyperbolic tangent - Unary function| |arctanh|Unary function|arctanh(x)|1.0|Inverse hyperbolic tangent - Unary function| |acoth|Unary function|acoth(x)|1.0|Inverse hyperbolic cotangent - Unary function| |actgh|Unary function|actgh(x)|1.0|Inverse hyperbolic cotangent - Unary function| |actanh|Unary function|actanh(x)|1.0|Inverse hyperbolic cotangent - Unary function| |arcoth|Unary function|arcoth(x)|1.0|Inverse hyperbolic cotangent - Unary function| |arccoth|Unary function|arccoth(x)|1.0|Inverse hyperbolic cotangent - Unary function| |arcctgh|Unary function|arcctgh(x)|1.0|Inverse hyperbolic cotangent - Unary function| |arcctanh|Unary function|arcctanh(x)|1.0|Inverse hyperbolic cotangent - Unary function| |asech|Unary function|asech(x)|1.0|Inverse hyperbolic secant - Unary function| |arsech|Unary function|arsech(x)|1.0|Inverse hyperbolic secant - Unary function| |arcsech|Unary function|arcsech(x)|1.0|Inverse hyperbolic secant - Unary function| |acsch|Unary function|acsch(x)|1.0|Inverse hyperbolic cosecant - Unary function| |arcsch|Unary function|arcsch(x)|1.0|Inverse hyperbolic cosecant - Unary function| |arccsch|Unary function|arccsch(x)|1.0|Inverse hyperbolic cosecant - Unary function| |acosech|Unary function|acosech(x)|1.0|Inverse hyperbolic cosecant - Unary function| |arcosech|Unary function|arcosech(x)|1.0|Inverse hyperbolic cosecant - Unary function| |arccosech|Unary function|arccosech(x)|1.0|Inverse hyperbolic cosecant - Unary function| |Sa|Unary function|Sa(x)|1.0|Sinc (normalized) - Unary function| |sinc|Unary function|sinc(x)|1.0|Sinc (normalized) - Unary function| |Sinc|Unary function|Sinc(x)|1.0|Sinc (unnormalized) - Unary function| |Bell|Unary function|Bell(n)|1.0|Bell number - Unary function| |Luc|Unary function|Luc(n)|1.0|Lucas number - Unary function| |Fib|Unary function|Fib(n)|1.0|Fibonacci number - Unary function| |harm|Unary function|harm(n)|1.0|Harmonic number - Unary function| |ispr|Unary function|ispr(n)|2.3|Prime number test (is number a prime?) - Unary function| |Pi|Unary function|Pi(n)|2.3|Prime-counting π(n) - Unary function| |Ei|Unary function|Ei(x)|2.3|Exponential integral - Special function Ei(x) - Unary function| |li|Unary function|li(x)|2.3|Logarithmic integral - Special function li(x) - Unary function| |Li|Unary function|Li(x)|2.3|Offset logarithmic integral - Special function Li(x) - Unary function| |erf|Unary function|erf(x)|3.0|Gauss error - Special function erf(x) - Unary function| |erfc|Unary function|erfc(x)|3.0|Gauss complementary error - Special function erfc(x) - Unary function| |erfInv|Unary function|erfInv(x)|3.0|Inverse Gauss error - Special function erf⁻¹(y) - Unary function| |erfcInv|Unary function|erfcInv(x)|3.0|Inverse Gauss complementary error - Special function erfc⁻¹(x) - Unary function| |ulp|Unary function|ulp(x)|3.0|Unit in The Last Place - Unary function| |isNaN|Unary function|isNaN(x)|4.1|Returns true if value is a Not-a-Number (NaN), false otherwise (true=1, false=1) - Unary function| |ndig10|Unary function|ndig10(x)|4.1|Number of digits in numeral system with base 10 - Unary function| |nfact|Unary function|nfact(x)|4.1|Prime decomposition - number of distinct prime factors - Unary function| |arcsec|Unary function|arcsec(x)|4.1|Inverse trigonometric secant - Unary function| |arccsc|Unary function|arccsc(x)|4.1|Inverse trigonometric cosecant - Unary function| |Gamma|Unary function|Gamma(x)|4.2|Gamma - Special function Γ(s) - Unary function| |LambW0|Unary function|LambW0(x)|4.2|Lambert-W, principal branch 0, also called the omega or product logarithm - Special function W₀(x) - Unary function| |LambW1|Unary function|LambW1(x)|4.2|Lambert-W, branch -1, also called the omega or product logarithm - Special function W₋₁(x) - Unary function| |sgnGamma|Unary function|sgnGamma(x)|4.2|Signum of Gamma - Special function Γ(s) - Unary function| |logGamma|Unary function|logGamma(x)|4.2|Log Gamma - Special function lnΓ(s) - Unary function| |diGamma|Unary function|diGamma(x)|4.2|Digamma as the logarithmic derivative of the Gamma - Special function ψ(x) - Unary function| |rStud|Unary function|rStud(v)|5.0|Random variable - Student's t-distribution - Unary function| |rChi2|Unary function|rChi2(k)|5.0|Random variable - Chi-squared distribution - Unary function|

Binary Functions

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |log|Binary function|log(a, b)|1.0|Logarithm - Binary function| |mod|Binary function|mod(a, b)|1.0|Modulo - Binary function| |C|Binary function|C(n, k)|1.0|Binomial coefficient, number of k-combinations that can be drawn from n-elements set - Binary function| |nCk|Binary function|nCk(n, k)|4.2|Binomial coefficient, number of k-combinations that can be drawn from n-elements set - Binary function| |Bern|Binary function|Bern(m, n)|1.0|Bernoulli numbers - Binary function| |Stirl1|Binary function|Stirl1(n, k)|1.0|Stirling numbers of the first kind - Binary function| |Stirl2|Binary function|Stirl2(n, k)|1.0|Stirling numbers of the second kind - Binary function| |Worp|Binary function|Worp(n, k)|1.0|Worpitzky number - Binary function| |Euler|Binary function|Euler(n, k)|1.0|Euler number - Binary function| |KDelta|Binary function|KDelta(i, j)|1.0|Kronecker delta - Binary function| |EulerPol|Binary function|EulerPol(m, x)|1.0|Euler polynomial - Binary function| |Harm|Binary function|Harm(x, n)|1.0|Harmonic number - Binary function| |rUni|Binary function|rUni(a, b)|3.0|Random variable - Uniform continuous distribution U(a,b) - Binary function| |rUnid|Binary function|rUnid(a, b)|3.0|Random variable - Uniform discrete distribution U{a,b} - Binary function| |round|Binary function|round(x, n)|3.0|Half-up rounding - Binary function| |rNor|Binary function|rNor(mean, stdv)|3.0|Random variable - Normal distribution N(μ,σ) - Binary function| |ndig|Binary function|ndig(number, base)|4.1|Number of digits representing the number in numeral system with given base - Binary function| |dig10|Binary function|dig10(num, pos)|4.1|Digit at position 1 ... n (left -> right) or 0 ... -(n-1) (right -> left) - base 10 numeral system - Binary function| |factval|Binary function|factval(number, factorid)|4.1|Prime decomposition - factor value at position between 1 ... nfact(n) - ascending order by factor value - Binary function| |factexp|Binary function|factexp(number, factorid)|4.1|Prime decomposition - factor exponent / multiplicity at position between 1 ... nfact(n) - ascending order by factor value - Binary function| |root|Binary function|root(rootorder, number)|4.1|N-th order root of a number - Binary function| |GammaL|Binary function|GammaL(s, x)|4.2|Lower incomplete gamma - Special function γ(s,x) - Binary function| |GammaU|Binary function|GammaU(s, x)|4.2|Upper incomplete Gamma - Special function Γ(s,x) - Binary function| |GammaP|Binary function|GammaP(s, x)|4.2|Lower regularized P gamma - Special function P(s,x) - Binary function| |GammaRegL|Binary function|GammaRegL(s, x)|4.2|Lower regularized P gamma - Special function P(s,x) - Binary function| |GammaQ|Binary function|GammaQ(s, x)|4.2|Upper regularized Q Gamma - Special function Q(s,x) - Binary function| |GammaRegU|Binary function|GammaRegU(s, x)|4.2|Upper regularized Q Gamma - Special function Q(s,x) - Binary function| |nPk|Binary function|nPk(n, k)|4.2|Number of k-permutations that can be drawn from n-elements set - Binary function| |Beta|Binary function|Beta(x, y)|4.2|The Beta, also called the Euler integral of the first kind - Special function B(x,y) - Binary function| |logBeta|Binary function|logBeta(x, y)|4.2|The Log Beta, also called the Log Euler integral of the first kind - Special function lnB(x,y) - Binary function| |pStud|Binary function|pStud(x, v)|5.0|Student's t-distribution - Probability distribution function - Binary function| |cStud|Binary function|cStud(x, v)|5.0|Student's t-distribution - Cumulative distribution function - Binary function| |qStud|Binary function|qStud(p, v)|5.0|Student's t-distribution - Quantile function (inverse cumulative distribution function) - Binary function| |pChi2|Binary function|pChi2(x, k)|5.0|Chi-squared distribution - Probability distribution function - Binary function| |cChi2|Binary function|cChi2(x, k)|5.0|Chi-squared distribution - Cumulative distribution function - Binary function| |qChi2|Binary function|qChi2(p, k)|5.0|Chi-squared distribution - Quantile function (inverse cumulative distribution function) - Binary function| |rFSned|Binary function|rFSned(d1, d2)|5.1|Random variable - Snedecor's F distribution (F-distribution or F-ratio, also known as Fisher–Snedecor distribution) - Binary function|

3-args Functions

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |if|Ternary function|if(cond, expr-if-true, expr-if-false)|1.0|If - Ternary function| |chi|Ternary function|chi(x, a, b)|1.0|Characteristic function for x in (a,b) - Ternary function| |CHi|Ternary function|CHi(x, a, b)|1.0|Characteristic function for x in [a,b] - Ternary function| |Chi|Ternary function|Chi(x, a, b)|1.0|Characteristic function for x in [a,b) - Ternary function| |cHi|Ternary function|cHi(x, a, b)|1.0|Characteristic function for x in (a,b] - Ternary function| |pUni|Ternary function|pUni(x, a, b)|3.0|Uniform continuous distribution - Probability distribution function U(a,b) - Ternary function| |cUni|Ternary function|cUni(a, a, b)|3.0|Uniform continuous distribution - Cumulative distribution function U(a,b) - Ternary function| |qUni|Ternary function|qUni(q, a, b)|3.0|Uniform continuous distribution - Quantile function (inverse cumulative distribution function) U(a,b) - Ternary function| |pNor|Ternary function|pNor(x, mean, stdv)|3.0|Normal distribution - Probability distribution function N(μ,σ) - Ternary function| |cNor|Ternary function|cNor(x, mean, stdv)|3.0|Normal distribution - Cumulative distribution function N(μ,σ) - Ternary function| |qNor|Ternary function|qNor(q, mean, stdv)|3.0|Normal distribution - Quantile function (inverse cumulative distribution function) N(μ,σ) - Ternary function| |dig|Ternary function|dig(num, pos, base)|4.1|Digit at position 1 ... n (left -> right) or 0 ... -(n-1) (right -> left) - numeral system with given base - Ternary function| |BetaInc|Ternary function|BetaInc(x, a, b)|4.2|The incomplete Beta, also called the incomplete Euler integral of the first kind - Special function B(x,a,b) - Ternary function| |BetaI|Ternary function|BetaI(x, a, b)|4.2|The regularized incomplete Beta (or regularized beta), also called the regularized incomplete Euler integral of the first kind - Special function I(x,a,b) - Ternary function| |BetaReg|Ternary function|BetaReg(x, a, b)|4.2|The regularized incomplete Beta (or regularized beta), also called the regularized incomplete Euler integral of the first kind - Special function I(x,a,b) - Ternary function| |pFSned|Ternary function|pFSned(x, d1, d2)|5.1|Snedecor's F distribution (F-distribution or F-ratio, also known as Fisher–Snedecor distribution) - Probability distribution function - Ternary function| |cFSned|Ternary function|cFSned(x, d1, d2)|5.1|Snedecor's F distribution (F-distribution or F-ratio, also known as Fisher–Snedecor distribution) - Cumulative distribution function - Ternary function| |qFSned|Ternary function|qFSned(p, d1, d2)|5.1|Snedecor's F distribution (F-distribution or F-ratio, also known as Fisher–Snedecor distribution) - Quantile function (inverse cumulative distribution function) - Ternary function|

Variadic Functions

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |iff|Variadic function|iff(cond-1, expr-1; ... ; cond-n, expr-n)|1.0|If function - Variadic function| |min|Variadic function|min(a1, ..., an)|1.0|Minimum - Variadic function| |max|Variadic function|max(a1, ..., an)|1.0|Maximum - Variadic function| |ConFrac|Variadic function|ConFrac(a1, ..., an)|1.0|Continued fraction - Variadic function| |ConPol|Variadic function|ConPol(a1, ..., an)|1.0|Continued polynomial - Variadic function| |gcd|Variadic function|gcd(a1, ..., an)|1.0|Greatest common divisor - Variadic function| |lcm|Variadic function|lcm(a1, ..., an)|1.0|Least common multiple - Variadic function| |add|Variadic function|add(a1, ..., an)|2.4|Summation - Variadic function| |multi|Variadic function|multi(a1, ..., an)|2.4|Multiplication - Variadic function| |mean|Variadic function|mean(a1, ..., an)|2.4|Mean / average value - Variadic function| |var|Variadic function|var(a1, ..., an)|2.4|Bias-corrected sample variance - Variadic function| |std|Variadic function|std(a1, ..., an)|2.4|Bias-corrected sample standard deviation - Variadic function| |rList|Variadic function|rList(a1, ..., an)|3.0|Random number from a given list of numbers - Variadic function| |coalesce|Variadic function|coalesce(a1, ..., an)|4.1|Returns the first non-NaN value - Variadic function| |or|Variadic function|or(a1, ..., an)|4.1|Logical disjunction (OR) - variadic - Variadic function| |and|Variadic function|and(a1, ..., an)|4.1|Logical conjunction (AND) - variadic - Variadic function| |xor|Variadic function|xor(a1, ..., an)|4.1|Exclusive or (XOR) - variadic - Variadic function| |argmin|Variadic function|argmin(a1, ..., an)|4.1|Arguments / indices of the minima - Variadic function| |argmax|Variadic function|argmax(a1, ..., an)|4.1|Arguments / indices of the maxima - Variadic function| |med|Variadic function|med(a1, ..., an)|4.1|The sample median - Variadic function| |mode|Variadic function|mode(a1, ..., an)|4.1|Mode - the value that appears most often - Variadic function| |base|Variadic function|base(b, d1, ..., dn)|4.1|Returns number in given numeral system base represented by list of digits - Variadic function| |ndist|Variadic function|ndist(v1, ..., vn)|4.1|Number of distinct values - Variadic function|

Calculus Operators / Iterated Operators

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |∑|Calculus operator|∑(i, from, to, expr, <by>)|5.0|Summation SIGMA - Iterated operator Σ - Calculus operator - Unicode math symbol| |Σ|Calculus operator|Σ(i, from, to, expr, <by>)|5.0|Summation SIGMA - Iterated operator Σ - Calculus operator - Unicode math symbol| |sum|Calculus operator|sum(i, from, to, expr, <by>)|1.0|Summation SIGMA - Iterated operator Σ - Calculus operator| |∏|Calculus operator|∏(i, from, to, expr, <by>)|5.0|Product PI - Iterated operator ∏ - Calculus operator - Unicode math symbol| |ℿ|Calculus operator|ℿ(i, from, to, expr, <by>)|5.0|Product PI - Iterated operator ∏ - Calculus operator - Unicode math symbol| |Π|Calculus operator|Π(i, from, to, expr, <by>)|5.0|Product PI - Iterated operator ∏ - Calculus operator - Unicode math symbol| |prod|Calculus operator|prod(i, from, to, expr, <by>)|1.0|Product PI - Iterated operator ∏ - Calculus operator| |∫|Calculus operator|∫(expr, arg, from, to)|5.0|Definite integral ∫ - Calculus operator - Unicode math symbol| |int|Calculus operator|int(expr, arg, from, to)|1.0|Definite integral ∫ - Calculus operator| |∂|Calculus operator|∂(expr, arg, <point>)|5.0|Derivative ∂ - Calculus operator - Unicode math symbol| |der|Calculus operator|der(expr, arg, <point>)|1.0|Derivative ∂ - Calculus operator| |∂-|Calculus operator|∂-(expr, arg, <point>)|5.0|Left derivative ∂- - Calculus operator - Unicode math symbol| |der-|Calculus operator|der-(expr, arg, <point>)|1.0|Left derivative ∂- - Calculus operator| |∂+|Calculus operator|∂+(expr, arg, <point>)|5.0|Right derivative ∂+ - Calculus operator - Unicode math symbol| |der+|Calculus operator|der+(expr, arg, <point>)|1.0|Right derivative ∂+ - Calculus operator| |dern|Calculus operator|dern(expr, n, arg)|1.0|n-th derivative ∂ⁿ - Calculus operator| |∆|Calculus operator|∆(expr, arg, <delta>)|5.0|Forward difference ∆ - Calculus operator - Unicode math symbol| |Δ|Calculus operator|Δ(expr, arg, <delta>)|5.0|Forward difference ∆ - Calculus operator - Unicode math symbol| |diff|Calculus operator|diff(expr, arg, <delta>)|1.0|Forward difference ∆ - Calculus operator| |∇|Calculus operator|∇(expr, arg, <delta>)|5.0|Backward difference ∇ - Calculus operator - Unicode math symbol| |difb|Calculus operator|difb(expr, arg, <delta>)|1.0|Backward difference ∇ - Calculus operator| |avg|Calculus operator|avg(i, from, to, expr, <by>)|2.4|Average - Iterated operator - Calculus operator| |vari|Calculus operator|vari(i, from, to, expr, <by>)|2.4|Bias-corrected sample variance - Iterated operator - Calculus operator| |stdi|Calculus operator|stdi(i, from, to, expr, <by>)|2.4|Bias-corrected sample standard deviation - Iterated operator - Calculus operator| |mini|Calculus operator|mini(i, from, to, expr, <by>)|2.4|Minimum value - Iterated operator - Calculus operator| |maxi|Calculus operator|maxi(i, from, to, expr, <by>)|2.4|Maximum value - Iterated operator - Calculus operator| |solve|Calculus operator|solve(expr, arg, from, to)|4.0|Equation solving (root finding) f(x)=0 - Calculus operator|

Random Variables

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[Uni]|Random variable|[Uni]|3.0|Uniform continuous distribution U(0,1) - Random variable| |[Int]|Random variable|[Int]|3.0|Random integer - Random variable| |[Int1]|Random variable|[Int1]|3.0|Uniform discrete distribution - Random integer U{-10¹,10¹} - Random variable| |[Int2]|Random variable|[Int2]|3.0|Uniform discrete distribution - Random integer U{-10²,10²} - Random variable| |[Int3]|Random variable|[Int3]|3.0|Uniform discrete distribution - Random integer U{-10³,10³} - Random variable| |[Int4]|Random variable|[Int4]|3.0|Uniform discrete distribution - Random integer U{-10⁴,10⁴} - Random variable| |[Int5]|Random variable|[Int5]|3.0|Uniform discrete distribution - Random integer U{-10⁵,10⁵} - Random variable| |[Int6]|Random variable|[Int6]|3.0|Uniform discrete distribution - Random integer U{-10⁶,10⁶} - Random variable| |[Int7]|Random variable|[Int7]|3.0|Uniform discrete distribution - Random integer U{-10⁷,10⁷} - Random variable| |[Int8]|Random variable|[Int8]|3.0|Uniform discrete distribution - Random integer U{-10⁸,10⁸} - Random variable| |[Int9]|Random variable|[Int9]|3.0|Uniform discrete distribution - Random integer U{-10⁹,10⁹} - Random variable| |[nat]|Random variable|[nat]|3.0|Random natural number including 0 - Random variable| |[nat1]|Random variable|[nat1]|3.0|Uniform discrete distribution - Random natural number including 0 U{0,10¹} - Random variable| |[nat2]|Random variable|[nat2]|3.0|Uniform discrete distribution - Random natural number including 0 U{0,10²} - Random variable| |[nat3]|Random variable|[nat3]|3.0|Uniform discrete distribution - Random natural number including 0 U{0,10³} - Random variable| |[nat4]|Random variable|[nat4]|3.0|Uniform discrete distribution - Random natural number including 0 U{0,10⁴} - Random variable| |[nat5]|Random variable|[nat5]|3.0|Uniform discrete distribution - Random natural number including 0 U{0,10⁵} - Random variable| |[nat6]|Random variable|[nat6]|3.0|Uniform discrete distribution - Random natural number including 0 U{0,10⁶} - Random variable| |[nat7]|Random variable|[nat7]|3.0|Uniform discrete distribution - Random natural number including 0 U{0,10⁷} - Random variable| |[nat8]|Random variable|[nat8]|3.0|Uniform discrete distribution - Random natural number including 0 U{0,10⁸} - Random variable| |[nat9]|Random variable|[nat9]|3.0|Uniform discrete distribution - Random natural number including 0 U{0,10⁹} - Random variable| |[Nat]|Random variable|[Nat]|3.0|Random natural number - Random variable| |[Nat1]|Random variable|[Nat1]|3.0|Uniform discrete distribution - Random natural number U{1,10¹} - Random variable| |[Nat2]|Random variable|[Nat2]|3.0|Uniform discrete distribution - Random natural number U{1,10²} - Random variable| |[Nat3]|Random variable|[Nat3]|3.0|Uniform discrete distribution - Random natural number U{1,10³} - Random variable| |[Nat4]|Random variable|[Nat4]|3.0|Uniform discrete distribution - Random natural number U{1,10⁴} - Random variable| |[Nat5]|Random variable|[Nat5]|3.0|Uniform discrete distribution - Random natural number U{1,10⁵} - Random variable| |[Nat6]|Random variable|[Nat6]|3.0|Uniform discrete distribution - Random natural number U{1,10⁶} - Random variable| |[Nat7]|Random variable|[Nat7]|3.0|Uniform discrete distribution - Random natural number U{1,10⁷} - Random variable| |[Nat8]|Random variable|[Nat8]|3.0|Uniform discrete distribution - Random natural number U{1,10⁸} - Random variable| |[Nat9]|Random variable|[Nat9]|3.0|Uniform discrete distribution - Random natural number U{1,10⁹} - Random variable| |[Nor]|Random variable|[Nor]|3.0|Normal distribution N(0,1) - Random variable|

Mathematical Constants

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |π|Constant value|π|5.0|Pi, Archimedes' or Ludolph's number - Mathematical constant π - Constant value - Unicode math symbol| |ℼ|Constant value|ℼ|5.0|Pi, Archimedes' or Ludolph's number - Mathematical constant π - Constant value - Unicode math symbol| |pi|Constant value|pi|1.0|Pi, Archimedes' or Ludolph's number - Mathematical constant π - Constant value| |e|Constant value|e|1.0|Napier's or Euler's number (base of Natural logarithm) - Mathematical constant e - Constant value| |ℯ|Constant value|ℯ|5.0|Napier's or Euler's number (base of Natural logarithm) - Mathematical constant e - Constant value - Unicode math symbol| |ⅇ|Constant value|ⅇ|5.0|Napier's or Euler's number (base of Natural logarithm) - Mathematical constant e - Constant value - Unicode math symbol| |[gam]|Constant value|[gam]|1.0|Euler-Mascheroni constant - Mathematical constant γ - Constant value| |[phi]|Constant value|[phi]|1.0|Golden ratio - Mathematical constant φ - Constant value| |[PN]|Constant value|[PN]|1.0|Plastic constant - Mathematical constant ρ - Constant value| |[B*]|Constant value|[B*]|1.0|Embree-Trefethen constant - Mathematical constant β* - Constant value| |[F'd]|Constant value|[F'd]|1.0|Feigenbaum delta constant - Mathematical constant δ - Constant value| |[F'a]|Constant value|[F'a]|1.0|Feigenbaum alpha constant - Mathematical constant α - Constant value| |[C2]|Constant value|[C2]|1.0|Twin prime constant - Mathematical constant ∏₂ - Constant value| |[M1]|Constant value|[M1]|1.0|Meissel-Mertens constant - Mathematical constant M₁, B₁ - Constant value| |[B2]|Constant value|[B2]|1.0|Brun's constant for twin primes - Mathematical constant B₂ - Constant value| |[B4]|Constant value|[B4]|1.0|Brun's constant for prime quadruplets - Mathematical constant B₄ - Constant value| |[BN'L]|Constant value|[BN'L]|1.0|de Bruijn-Newman constant - Mathematical constant Λ - Constant value| |[Kat]|Constant value|[Kat]|1.0|Catalan's constant - Mathematical constant G - Constant value| |[K*]|Constant value|[K*]|1.0|Landau-Ramanujan constant - Mathematical constant b - Constant value| |[K.]|Constant value|[K.]|1.0|Viswanath's constant - Mathematical constant V - Constant value| |[B'L]|Constant value|[B'L]|1.0|Legendre's constant - Mathematical constant B - Constant value| |[RS'm]|Constant value|[RS'm]|1.0|Ramanujan-Soldner constant - Mathematical constant μ - Constant value| |[EB'e]|Constant value|[EB'e]|1.0|Erdos-Borwein constant - Mathematical constant E - Constant value| |[Bern]|Constant value|[Bern]|1.0|Bernstein's constant - Mathematical constant β - Constant value| |[GKW'l]|Constant value|[GKW'l]|1.0|Gauss-Kuzmin-Wirsing constant - Mathematical constant λ - Constant value| |[HSM's]|Constant value|[HSM's]|1.0|Hafner-Sarnak-McCurley constant - Mathematical constant σ - Constant value| |[lm]|Constant value|[lm]|1.0|Golomb-Dickman constant - Mathematical constant λ - Constant value| |[Cah]|Constant value|[Cah]|1.0|Cahen's constant - Mathematical constant C - Constant value| |[Ll]|Constant value|[Ll]|1.0|Laplace limit constant - Mathematical constant - Constant value| |[AG]|Constant value|[AG]|1.0|Alladi-Grinstead constant - Mathematical constant - Constant value| |[L*]|Constant value|[L*]|1.0|Lengyel's constant - Mathematical constant Λ - Constant value| |[L.]|Constant value|[L.]|1.0|Levy's constant - Mathematical constant - Constant value| |[Dz3]|Constant value|[Dz3]|1.0|Apery's constant - Mathematical constant ζ(3) - Constant value| |[A3n]|Constant value|[A3n]|1.0|Mills' constant - Mathematical constant A - Constant value| |[Bh]|Constant value|[Bh]|1.0|Backhouse's constant - Mathematical constant B - Constant value| |[Pt]|Constant value|[Pt]|1.0|Porter's constant - Mathematical constant C - Constant value| |[L2]|Constant value|[L2]|1.0|Lieb's square ice constant - Mathematical constant - Constant value| |[Nv]|Constant value|[Nv]|1.0|Niven's constant - Mathematical constant C - Constant value| |[Ks]|Constant value|[Ks]|1.0|Sierpinski's constant - Mathematical constant K - Constant value| |[Kh]|Constant value|[Kh]|1.0|Khinchin's constant - Mathematical constant K₀ - Constant value| |[FR]|Constant value|[FR]|1.0|Fransen-Robinson constant - Mathematical constant F - Constant value| |[La]|Constant value|[La]|1.0|Landau's constant - Mathematical constant L - Constant value| |[P2]|Constant value|[P2]|1.0|Parabolic constant - Mathematical constant P - Constant value| |[Om]|Constant value|[Om]|1.0|Omega constant - Mathematical constant Ω - Constant value| |[MRB]|Constant value|[MRB]|1.0|MRB constant - Mathematical constant S - Constant value| |[li2]|Constant value|[li2]|2.3|Logarithmic integral at point 2 - Mathematical constant li(2) - Constant value| |[EG]|Constant value|[EG]|2.3|Gompertz constant - Mathematical constant δ - Constant value|

Physical Constant

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[c]|Constant value|[c]|4.0|Light speed in vacuum - Physical constant c [m/s] (m=1, s=1) - Constant value| |[G.]|Constant value|[G.]|4.0|Gravitational constant - Physical constant G (m=1, kg=1, s=1) - Constant value| |[g]|Constant value|[g]|4.0|Gravitational acceleration on Earth - Physical constant g [m/s²] (m=1, s=1) - Constant value| |[hP]|Constant value|[hP]|4.0|Planck constant - Physical constant h (m=1, kg=1, s=1) - Constant value| |[h-]|Constant value|[h-]|4.0|Reduced Planck constant (Dirac constant) - Physical constant ħ (m=1, kg=1, s=1) - Constant value| |[lP]|Constant value|[lP]|4.0|Planck length - Physical constant lᵖ [m] (m=1) - Constant value| |[mP]|Constant value|[mP]|4.0|Planck mass - Physical constant mᵖ [kg] (kg=1) - Constant value| |[tP]|Constant value|[tP]|4.0|Planck time - Physical constant tᵖ [s] (s=1) - Constant value|

Astronomical Constant

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[ly]|Constant value|[ly]|4.0|Light year - Astronomical constant ly [m] (m=1) - Constant value| |[au]|Constant value|[au]|4.0|Astronomical unit - Astronomical constant au, AU [m] (m=1) - Constant value| |[pc]|Constant value|[pc]|4.0|Parsec - Astronomical constant pc [m] (m=1) - Constant value| |[kpc]|Constant value|[kpc]|4.0|Kiloparsec - Astronomical constant kpc [m] (m=1) - Constant value| |[Earth-R-eq]|Constant value|[Earth-R-eq]|4.0|Earth equatorial radius - Astronomical constant Rª⊕ [m] (m=1) - Constant value| |[Earth-R-po]|Constant value|[Earth-R-po]|4.0|Earth polar radius - Astronomical constant Rᵇ⊕ [m] (m=1) - Constant value| |[Earth-R]|Constant value|[Earth-R]|4.0|Earth mean radius - Astronomical constant R⊕ (m=1) - Constant value| |[Earth-M]|Constant value|[Earth-M]|4.0|Earth mass - Astronomical constant M⊕ [kg] (kg=1) - Constant value| |[Earth-D]|Constant value|[Earth-D]|4.0|Earth-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value| |[Moon-R]|Constant value|[Moon-R]|4.0|Moon mean radius - Astronomical constant [m] (m=1) - Constant value| |[Moon-M]|Constant value|[Moon-M]|4.0|Moon mass - Astronomical constant [kg] (kg=1) - Constant value| |[Moon-D]|Constant value|[Moon-D]|4.0|Moon-Earth distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value| |[Solar-R]|Constant value|[Solar-R]|4.0|Solar mean radius - Astronomical constant R☉ [m] (m=1) - Constant value| |[Solar-M]|Constant value|[Solar-M]|4.0|Solar mass - Astronomical constant M☉ [kg] (kg=1) - Constant value| |[Mercury-R]|Constant value|[Mercury-R]|4.0|Mercury mean radius - Astronomical constant [m] (m=1) - Constant value| |[Mercury-M]|Constant value|[Mercury-M]|4.0|Mercury mass - Astronomical constant [kg] (kg=1) - Constant value| |[Mercury-D]|Constant value|[Mercury-D]|4.0|Mercury-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value| |[Venus-R]|Constant value|[Venus-R]|4.0|Venus mean radius - Astronomical constant [m] (m=1) - Constant value| |[Venus-M]|Constant value|[Venus-M]|4.0|Venus mass - Astronomical constant [kg] (kg=1) - Constant value| |[Venus-D]|Constant value|[Venus-D]|4.0|Venus-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value| |[Mars-R]|Constant value|[Mars-R]|4.0|Mars mean radius - Astronomical constant [m] (m=1) - Constant value| |[Mars-M]|Constant value|[Mars-M]|4.0|Mars mass - Astronomical constant [kg] (kg=1) - Constant value| |[Mars-D]|Constant value|[Mars-D]|4.0|Mars-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value| |[Jupiter-R]|Constant value|[Jupiter-R]|4.0|Jupiter mean radius - Astronomical constant [m] (m=1) - Constant value| |[Jupiter-M]|Constant value|[Jupiter-M]|4.0|Jupiter mass - Astronomical constant [kg] (kg=1) - Constant value| |[Jupiter-D]|Constant value|[Jupiter-D]|4.0|Jupiter-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value| |[Saturn-R]|Constant value|[Saturn-R]|4.0|Saturn mean radius - Astronomical constant [m] (m=1) - Constant value| |[Saturn-M]|Constant value|[Saturn-M]|4.0|Saturn mass - Astronomical constant [kg] (kg=1) - Constant value| |[Saturn-D]|Constant value|[Saturn-D]|4.0|Saturn-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value| |[Uranus-R]|Constant value|[Uranus-R]|4.0|Uranus mean radius - Astronomical constant [m] (m=1) - Constant value| |[Uranus-M]|Constant value|[Uranus-M]|4.0|Uranus mass - Astronomical constant [kg] (kg=1) - Constant value| |[Uranus-D]|Constant value|[Uranus-D]|4.0|Uranus-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value| |[Neptune-R]|Constant value|[Neptune-R]|4.0|Neptune mean radius - Astronomical constant [m] (m=1) - Constant value| |[Neptune-M]|Constant value|[Neptune-M]|4.0|Neptune mass - Astronomical constant [kg] (kg=1) - Constant value| |[Neptune-D]|Constant value|[Neptune-D]|4.0|Neptune-Sun distance - Astronomical constant - Semi major axis [m] (m=1) - Constant value|

Metric prefixes

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[Y]|Unit|[Y]|4.0|Septillion / Yotta - Metric prefix = 10²⁴ - Dimensionless unit| |[sept]|Unit|[sept]|4.0|Septillion / Yotta - Metric prefix = 10²⁴ - Dimensionless unit| |[Z]|Unit|[Z]|4.0|Sextillion / Zetta - Metric prefix = 10²¹ - Dimensionless unit| |[sext]|Unit|[sext]|4.0|Sextillion / Zetta - Metric prefix = 10²¹ - Dimensionless unit| |[E]|Unit|[E]|4.0|Quintillion / Exa - Metric prefix = 10¹⁸ - Dimensionless unit| |[quint]|Unit|[quint]|4.0|Quintillion / Exa - Metric prefix = 10¹⁸ - Dimensionless unit| |[P]|Unit|[P]|4.0|Quadrillion / Peta - Metric prefix = 10¹⁵ - Dimensionless unit| |[quad]|Unit|[quad]|4.0|Quadrillion / Peta - Metric prefix = 10¹⁵ - Dimensionless unit| |[T]|Unit|[T]|4.0|Trillion / Tera - Metric prefix = 10¹² - Dimensionless unit| |[tril]|Unit|[tril]|4.0|Trillion / Tera - Metric prefix = 10¹² - Dimensionless unit| |[G]|Unit|[G]|4.0|Billion / Giga - Metric prefix = 10⁹ - Dimensionless unit| |[bil]|Unit|[bil]|4.0|Billion / Giga - Metric prefix = 10⁹ - Dimensionless unit| |[M]|Unit|[M]|4.0|Million / Mega - Metric prefix = 10⁶ - Dimensionless unit| |[mil]|Unit|[mil]|4.0|Million / Mega - Metric prefix = 10⁶ - Dimensionless unit| |[k]|Unit|[k]|4.0|Thousand / Kilo - Metric prefix = 10³ - Dimensionless unit| |[th]|Unit|[th]|4.0|Thousand / Kilo - Metric prefix = 10³ - Dimensionless unit| |[hund]|Unit|[hund]|4.0|Hundred / Hecto - Metric prefix = 10² - Dimensionless unit| |[hecto]|Unit|[hecto]|4.0|Hundred / Hecto - Metric prefix = 10² - Dimensionless unit| |[ten]|Unit|[ten]|4.0|Ten / Deca - Metric prefix = 10 - Dimensionless unit| |[deca]|Unit|[deca]|4.0|Ten / Deca - Metric prefix = 10 - Dimensionless unit| |[deci]|Unit|[deci]|4.0|Tenth / Deci - Metric prefix = 10⁻¹ - Dimensionless unit| |[centi]|Unit|[centi]|4.0|Hundredth / Centi - Metric prefix = 10⁻² - Dimensionless unit| |[milli]|Unit|[milli]|4.0|Thousandth / Milli - Metric prefix = 10⁻³ - Dimensionless unit| |[mic]|Unit|[mic]|4.0|Millionth / Micro - Metric prefix = 10⁻⁶ - Dimensionless unit| |[n]|Unit|[n]|4.0|Billionth / Nano - Metric prefix = 10⁻⁹ - Dimensionless unit| |[p]|Unit|[p]|4.0|Trillionth / Pico - Metric prefix = 10⁻¹² - Dimensionless unit| |[f]|Unit|[f]|4.0|Quadrillionth / Femto - Metric prefix = 10⁻¹⁵ - Dimensionless unit| |[a]|Unit|[a]|4.0|Quintillionth / Atoo - Metric prefix = 10⁻¹⁸ - Dimensionless unit| |[z]|Unit|[z]|4.0|Sextillionth / Zepto - Metric prefix = 10⁻²¹ - Dimensionless unit| |[y]|Unit|[y]|4.0|Septillionth / Yocto - Metric prefix = 10⁻²⁴ - Dimensionless unit|

Units of length

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[m]|Unit|[m]|4.0|Meter - Unit of length [m] (m=1) - Unit| |[km]|Unit|[km]|4.0|Kilometer - Unit of length [m] (m=1) - Unit| |[cm]|Unit|[cm]|4.0|Centimeter - Unit of length [m] (m=1) - Unit| |[mm]|Unit|[mm]|4.0|Millimeter - Unit of length [m] (m=1) - Unit| |[inch]|Unit|[inch]|4.0|Inch - Unit of length [m] (m=1) - Unit| |[yd]|Unit|[yd]|4.0|Yard - Unit of length [m] (m=1) - Unit| |[ft]|Unit|[ft]|4.0|Feet - Unit of length [m] (m=1) - Unit| |[mile]|Unit|[mile]|4.0|Mile - Unit of length [m] (m=1) - Unit| |[nmi]|Unit|[nmi]|4.0|Nautical mile - Unit of length [m] (m=1) - Unit|

Units of area

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[m2]|Unit|[m2]|4.0|Square meter - Unit of area [m²] (m=1) - Unit| |[cm2]|Unit|[cm2]|4.0|Square centimeter - Unit of area [m²] (m=1) - Unit| |[mm2]|Unit|[mm2]|4.0|Square millimeter - Unit of area [m²] (m=1) - Unit| |[are]|Unit|[are]|4.0|Are - Unit of area [m²] (m=1) - Unit| |[ha]|Unit|[ha]|4.0|Hectare - Unit of area [m²] (m=1) - Unit| |[acre]|Unit|[acre]|4.0|Acre - Unit of area [m²] (m=1) - Unit| |[km2]|Unit|[km2]|4.0|Square kilometer - Unit of area [m²] (m=1) - Unit|

Units of volume

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[mm3]|Unit|[mm3]|4.0|Cubic millimeter - Unit of volume [m³] (m=1) - Unit| |[cm3]|Unit|[cm3]|4.0|Cubic centimeter - Unit of volume [m³] (m=1) - Unit| |[m3]|Unit|[m3]|4.0|Cubic meter - Unit of volume [m³] (m=1) - Unit| |[km3]|Unit|[km3]|4.0|Cubic kilometer - Unit of volume [m³] (m=1) - Unit| |[ml]|Unit|[ml]|4.0|Milliliter - Unit of volume [m³] (m=1) - Unit| |[l]|Unit|[l]|4.0|Liter - Unit of volume [m³] (m=1) - Unit| |[gall]|Unit|[gall]|4.0|Gallon - Unit of volume [m³] (m=1) - Unit| |[pint]|Unit|[pint]|4.0|Pint - Unit of volume [m³] (m=1) - Unit|

Units of time

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[s]|Unit|[s]|4.0|Second - Unit of time [s] (s=1) - Unit| |[ms]|Unit|[ms]|4.0|Millisecond - Unit of time [s] (s=1) - Unit| |[min]|Unit|[min]|4.0|Minute - Unit of time [s] (s=1) - Unit| |[h]|Unit|[h]|4.0|Hour - Unit of time [s] (s=1) - Unit| |[day]|Unit|[day]|4.0|Day - Unit of time [s] (s=1) - Unit| |[week]|Unit|[week]|4.0|Week - Unit of time [s] (s=1) - Unit| |[yearj]|Unit|[yearj]|4.0|Julian year = 365.25 days - Unit of time [s] (s=1) - Unit|

Units of mass

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[kg]|Unit|[kg]|4.0|Kilogram - Unit of mass [kg] (kg=1) - Unit| |[gr]|Unit|[gr]|4.0|Gram - Unit of mass [kg] (kg=1) - Unit| |[mg]|Unit|[mg]|4.0|Milligram - Unit of mass [kg] (kg=1) - Unit| |[dag]|Unit|[dag]|4.0|Decagram - Unit of mass [kg] (kg=1) - Unit| |[t]|Unit|[t]|4.0|Tonne - Unit of mass [kg] (kg=1) - Unit| |[oz]|Unit|[oz]|4.0|Ounce - Unit of mass [kg] (kg=1) - Unit| |[lb]|Unit|[lb]|4.0|Pound - Unit of mass [kg] (kg=1) - Unit|

Units of information

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[b]|Unit|[b]|4.0|Bit - Unit of information [bit] (bit=1) - Unit| |[kb]|Unit|[kb]|4.0|Kilobit - Unit of information [bit] (bit=1) - Unit| |[Mb]|Unit|[Mb]|4.0|Megabit - Unit of information [bit] (bit=1) - Unit| |[Gb]|Unit|[Gb]|4.0|Gigabit - Unit of information [bit] (bit=1) - Unit| |[Tb]|Unit|[Tb]|4.0|Terabit - Unit of information [bit] (bit=1) - Unit| |[Pb]|Unit|[Pb]|4.0|Petabit - Unit of information [bit] (bit=1) - Unit| |[Eb]|Unit|[Eb]|4.0|Exabit - Unit of information [bit] (bit=1) - Unit| |[Zb]|Unit|[Zb]|4.0|Zettabit - Unit of information [bit] (bit=1) - Unit| |[Yb]|Unit|[Yb]|4.0|Yottabit - Unit of information [bit] (bit=1) - Unit| |[B]|Unit|[B]|4.0|Byte - Unit of information [bit] (bit=1) - Unit| |[kB]|Unit|[kB]|4.0|Kilobyte - Unit of information [bit] (bit=1) - Unit| |[MB]|Unit|[MB]|4.0|Megabyte - Unit of information [bit] (bit=1) - Unit| |[GB]|Unit|[GB]|4.0|Gigabyte - Unit of information [bit] (bit=1) - Unit| |[TB]|Unit|[TB]|4.0|Terabyte - Unit of information [bit] (bit=1) - Unit| |[PB]|Unit|[PB]|4.0|Petabyte - Unit of information [bit] (bit=1) - Unit| |[EB]|Unit|[EB]|4.0|Exabyte - Unit of information [bit] (bit=1) - Unit| |[ZB]|Unit|[ZB]|4.0|Zettabyte - Unit of information [bit] (bit=1) - Unit| |[YB]|Unit|[YB]|4.0|Yottabyte - Unit of information [bit] (bit=1) - Unit|

Units of energy

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[J]|Unit|[J]|4.0|Joule - Unit of energy [J] (m=1, kg=1, s=1) - Unit| |[eV]|Unit|[eV]|4.0|Electronovolt - Unit of energy [J] (m=1, kg=1, s=1) - Unit| |[keV]|Unit|[keV]|4.0|Kiloelectronovolt - Unit of energy [J] (m=1, kg=1, s=1) - Unit| |[MeV]|Unit|[MeV]|4.0|Megaelectronovolt - Unit of energy [J] (m=1, kg=1, s=1) - Unit| |[GeV]|Unit|[GeV]|4.0|Gigaelectronovolt - Unit of energy [J] (m=1, kg=1, s=1) - Unit| |[TeV]|Unit|[TeV]|4.0|Teraelectronovolt - Unit of energy [J] (m=1, kg=1, s=1) - Unit|

Units of speed

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[m/s]|Unit|[m/s]|4.0|Meter per second - Unit of speed [m/s] (m=1, s=1) - Unit| |[km/h]|Unit|[km/h]|4.0|Kilometer per hour - Unit of speed [m/s] (m=1, s=1) - Unit| |[mi/h]|Unit|[mi/h]|4.0|Mile per hour - Unit of speed [m/s] (m=1, s=1) - Unit| |[knot]|Unit|[knot]|4.0|Knot - Unit of speed [m/s] (m=1, s=1) - Unit|

Units of acceleration

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[m/s2]|Unit|[m/s2]|4.0|Meter per square second - Unit of acceleration [m/s²] (m=1, s=1) - Unit| |[km/h2]|Unit|[km/h2]|4.0|Kilometer per square hour - Unit of acceleration [m/s²] (m=1, s=1) - Unit| |[mi/h2]|Unit|[mi/h2]|4.0|Mile per square hour - Unit of acceleration [m/s²] (m=1, s=1) - Unit|

Units of angle

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |[rad]|Unit|[rad]|4.0|Radian - Unit of angle [rad] (rad=1) - Unit| |[deg]|Unit|[deg]|4.0|Degree of arc - Unit of angle [rad] (rad=1) - Unit| |[']|Unit|[']|4.0|Minute of arc - Unit of angle [rad] (rad=1) - Unit| |['']|Unit|['']|4.0|Second of arc - Unit of angle [rad] (rad=1) - Unit|

Other parser symbols

|Keyword|Type|Syntax|Since|Description| |---|---|---|---|---| |(|Parser symbol|( ... )|1.0|Left parentheses - Parser symbol| |)|Parser symbol|( ... )|1.0|Right parentheses - Parser symbol| |,|Parser symbol|(a1, ... ,an)|1.0|Comma (function parameters) - Parser symbol| |;|Parser symbol|(a1; ... ;an)|1.0|Semicolon (function parameters) - Parser symbol| | |Parser symbol| |4.2|Blank (whitespace) character - Parser symbol|

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Best regards, Mariusz Gromada