Operators and Elementary Operations

Perform arithmetic, relational, and logical operations on symbolic objects

Symbolic Math Toolbox™ includes functions for arithmetic, relational, and logical operations, as well as modulo and complex number operations, on symbolic objects. You can use these functions to perform simple operations like addition, multiplication, and calculating exponents, as well as other operations like finding the nth root, modulus, and finding the quotient and remainder of a division.

Functions

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Arithmetic Operations

`minus`	Symbolic subtraction
`plus`	Symbolic addition
`times`	Symbolic array multiplication
`ldivide`	Symbolic array left division
`rdivide`	Symbolic array right division
`power`	Symbolic array power
`nthroot`	Nth root of symbolic numbers
`mtimes`	Symbolic matrix multiplication
`mldivide`	Symbolic matrix left division
`mrdivide`	Symbolic matrix right division
`mpower`	Symbolic matrix power
`transpose`	Symbolic matrix transpose
`ctranspose`	Symbolic matrix complex conjugate transpose

Relational Operations

Operators

`eq`	Define symbolic equation
`ge`	Define greater than or equal to condition
`gt`	Define greater than relation
`le`	Define less than or equal to condition
`lt`	Define less than relation
`ne`	Define inequality

Functions

`has`	Check if expression contains particular subexpression
`hasSymType`	Determine whether symbolic object contains specific type
`in`	Numeric type of symbolic input
`isAlways`	Determine if symbolic conditions are true for all values of variables
`isequal`	Determine if symbolic inputs are equal
`isequaln`	Test symbolic objects for equality, treating `NaN` values as equal
`isSymType`	Determine whether symbolic object is specific type
`max`	Maximum elements of symbolic input
`min`	Minimum elements of symbolic input
`piecewise`	Conditionally defined expression or function

Logical Operations

Operators

`and`	Logical AND for symbolic expressions
`not`	Logical NOT for symbolic expressions
`or`	Logical OR for symbolic expressions
`xor`	Logical XOR for symbolic expressions

Functions

`all`	Test whether all equations and inequalities represented as elements of symbolic array are valid
`any`	Test whether at least one of equations and inequalities represented as elements of symbolic array is valid
`has`	Check if expression contains particular subexpression
`hasSymType`	Determine whether symbolic object contains specific type
`in`	Numeric type of symbolic input
`isAlways`	Determine if symbolic conditions are true for all values of variables
`isequaln`	Test symbolic objects for equality, treating `NaN` values as equal
`isfinite`	Check whether symbolic array elements are finite
`isinf`	Check whether symbolic array elements are infinite
`isnan`	Check whether symbolic array elements are `NaN`s
`isSymType`	Determine whether symbolic object is specific type
`logical`	Determine if symbolic equation, inequality, or condition is true
`symtrue`	Symbolic logical constant true
`symfalse`	Symbolic logical constant false

Modulo Operations

`mod`	Symbolic modulus after division
`powermod`	Modular exponentiation
`quorem`	Quotient and remainder
`rem`	Remainder after division

Complex Numbers

`abs`	Symbolic absolute value (complex modulus or magnitude)
`angle`	Symbolic polar angle
`conj`	Complex conjugate of symbolic input
`imag`	Imaginary part of complex number
`real`	Real part of complex number

Topics

Check Symbolic Equations, Inequalities, and Conditional Statements
Determine if symbolic equations, inequalities, and conditional statements are true.
Linear Algebraic Operations
Perform linear algebra with symbolic expressions and functions.