Differences between revisions 1 and 11 (spanning 10 versions)

MATLAB Built-in Functions

Several functions are built into MATLAB.

Contents

MATLAB Built-in Functions

Numeric Functions

Most built-in functions operate on numeric arrays by applying the function element-wise. These include:

Mathematical functions

Name	Meaning	Notes
`abs(x)`	absolute value
`ceil(x)`	round toward positive infinity
`exp(x)`	exponentiation
`factorial(x)`	factorial
`fix(x)`	round toward 0
`floor(x)`	round toward negative infinity
`log(x)`	natural logarithm
`log10(x)`	base-10 logarithm
`max(x)`	maximum	optionally return index of maximum as well: `[m,i]=max(x)`
`min(x)`	minimum	optionally return index of minimum as well: `[m,i]=min(x)`
`mod(x,d)`	modulo of x divided by d
`nthroot(x,n)`	nth root of x
`round(x)`	round to integer
`sqrt(x)`	square root

Trig functions

Name	Meaning
`sin`	sine
`cos`	cosine
`tan`	tangent
`cot`	cotangent
`sec`	secant
`csc`	cosecant
`asin`	inverse sine
`acos`	inverse cosine
`atan`	inverse tangent
`acot`	inverse cotangent
`asec`	inverse secant
`acsc`	inverse cosecant
`sinh`	hyperbolic sine
`cosh`	hyperbolic cosine
`tanh`	hyperbolic tangent
`coth`	hyperbolic cotangent
`sech`	hyperbolic secant
`csch`	hyperbolic cosecant
`asinh`	inverse hyperbolic sine
`acosh`	inverse hyperbolic cosine
`atanh`	inverse hyperbolic tangent
`acoth`	inverse hyperbolic cotangent
`asech`	inverse hyperbolic secant
`acsch`	inverse hyperbolic cosecant

Type-checking functions

Name	Meaning
`allfinite(x)`	are all elements finite
`anynan(x)`	are any elements NaN
`isfloat(x)`	is a floating-point array
`isinteger(x)`	is an integer array
`isnumeric(x)`	is a numeric array
`isreal(x)`	uses complex storage

Array functions

Name	Meaning
`linspace(a,b,n)`	row vector of `n` evenly-spaced elements starting at `a` and ending in `b`

String Functions

These functions operate on a string array and return a string scalar:

Name	Meaning
`join(s)`	join the elements of string matrix `s`
`join(s,d)`	join the elements of string matrix `s` using delimiter `d`

Matrix Functions

These functions create a matrix from other types:

Name	Meaning
`diag(v)`	diagonal matrix from vector `v`
`eye(n)`	n x n identity matrix
`ones(n)`	n x n matrix of 1s
`ones(r,c)`	r x c matrix of 1s
`rand(n)`	n x n matrix of random numbers
`rand(r,c)`	r x c matrix of random numbers
`zeros(n)`	n x n matrix of 0s
`zeros(r,c)`	r x c matrix of 0s

These functions operate on a matrix and return other types:

Name	Meaning
`det(m)`	determinant
`diag(m)`	diagonal vector from matrix `m`
`eig(m)`	vector of eigenvalues
`size(m)`	array of dimensions

These functions transform a matrix:

Name	Meaning
`inv(m)`	invert
`transpose(m)`	transpose

To demonstrate how the size function can be used:

>> A = [12 62 93 -8];
>> sz = size(A)

sz = 1×2

     1     4
>> B = zeros(size(A))

B = 1x4

       0    0    0    0

Vector Functions

These functions operate on matrices that are specifically of sizes 1 x n or n x 1. MATLAB generally can work with either row or column vectors.

Name	Meaning
`cross(a,b)`	Cross product
`dot(a,b)`	Dot product

CategoryRicottone

-  ⇤ ← Revision 1 as of 2025-10-22 18:19:55 → 
  Size: 2439
  Editor: DominicRicottone
  Comment: Initial commit
+   ← Revision 11 as of 2026-01-19 16:03:56 → ⇥
  Size: 5249
  Editor: DominicRicottone
  Comment: More functions
-Deletions are marked like this.
+Additions are marked like this.
 Line 11:
-== Description ==
+== Numeric Functions ==
 Line 13:
-=== Mathematical Functions ===
+Most built-in functions operate on [[MATLAB/DataTypes#Numeric|numeric arrays]] by applying the function element-wise. These include:
 Line 15:
-||'''Name'''    ||'''Meaning'''                   ||
||`abs(x)`      ||absolute value                  ||
||`ceil(x)`     ||round toward positive infinity  ||
||`exp(x)`      ||exponentiation                  ||
||`factorial(x)`||factorial                       ||
||`fix(x)`      ||round toward 0                  ||
||`floor(x)`    ||round toward negative infinity  ||
||`log(x)`      ||natural logarithm               ||
||`log10(x)`    ||base-10 logarithm               ||
||`mod(x,d)`    ||modulo of ''x'' divided by ''d''||
||`nthroot(x,n)`||''n''th root of ''x''           ||
||`round(x)`    ||round to integer                ||
||`sqrt(x)`     ||square root                     ||
+=== Mathematical functions ===
-Line 29:
+Line 17:
-=== Trig Functions ===
+||'''Name'''    ||'''Meaning'''                   ||'''Notes'''||
||`abs(x)`      ||absolute value                  ||           ||
||`ceil(x)`     ||round toward positive infinity  ||           ||
||`exp(x)`      ||exponentiation                  ||           ||
||`factorial(x)`||factorial                       ||           ||
||`fix(x)`      ||round toward 0                  ||           ||
||`floor(x)`    ||round toward negative infinity  ||           ||
||`log(x)`      ||natural logarithm               ||           ||
||`log10(x)`    ||base-10 logarithm               ||           ||
||`max(x)`      ||maximum                         ||optionally return index of maximum as well: `[m,i]=max(x)`||
||`min(x)`      ||minimum                         ||optionally return index of minimum as well: `[m,i]=min(x)`||
||`mod(x,d)`    ||modulo of ''x'' divided by ''d''||           ||
||`nthroot(x,n)`||''n''th root of ''x''           ||           ||
||`round(x)`    ||round to integer                ||           ||
||`sqrt(x)`     ||square root                     ||           ||

=== Trig functions ===
-Line 57:
+Line 61:
-=== Matrix Functions ===
+=== Type-checking functions ===

||'''Name'''    ||'''Meaning'''                   ||
||`allfinite(x)`||are all elements finite         ||
||`anynan(x)`   ||are any elements NaN            ||
||`isfloat(x)`  ||is a floating-point array       ||
||`isinteger(x)`||is an integer array             ||
||`isnumeric(x)`||is a numeric array              ||
||`isreal(x)`   ||uses complex storage            ||

=== Array functions ===

||'''Name'''       ||'''Meaning'''                                                             ||
||`linspace(a,b,n)`||row vector of `n` evenly-spaced elements starting at `a` and ending in `b`||

----



== String Functions ==

These functions operate on a [[MATLAB/DataTypes#String|string array]] and return a string scalar:

||'''Name''' ||'''Meaning'''                                             ||
||`join(s)`  ||join the elements of string matrix `s`                    ||
||`join(s,d)`||join the elements of string matrix `s` using delimiter `d`||

----



== Matrix Functions ==

These functions create a matrix from other types:

||'''Name'''  ||'''Meaning'''                     ||
||`diag(v)`   ||diagonal matrix from vector `v`   ||
||`eye(n)`    ||''n x n'' identity matrix         ||
||`ones(n)`   ||''n x n'' matrix of 1s            ||
||`ones(r,c)` ||''r x c'' matrix of 1s            ||
||`rand(n)`   ||''n x n'' matrix of random numbers||
||`rand(r,c)` ||''r x c'' matrix of random numbers||
||`zeros(n)`  ||''n x n'' matrix of 0s            ||
||`zeros(r,c)`||''r x c'' matrix of 0s            ||

These functions operate on a matrix and return other types:
-Line 60:
+Line 109:
-||`diag(v)`  ||diagonal matrix from vector `v`||
+||`det(m)`   ||determinant                    ||
-Line 62:
+Line 111:
-||`eye(n)`   ||''n x n'' identity matrix      ||
||`ones(n)`  ||''n x n'' matrix of 1s         ||
||`zeros(n)` ||''n x n'' matrix of 0s         ||
+||`eig(m)`   ||vector of eigenvalues          ||
||`size(m)`  ||array of dimensions            ||

These functions transform a matrix:

||'''Name'''    ||'''Meaning'''||
||`inv(m)`      ||invert       ||
||`transpose(m)`||transpose    ||

To demonstrate how the `size` function can be used:

{{{
>> A = [12 62 93 -8];
>> sz = size(A)

sz = 1×2

     1     4
>> B = zeros(size(A))

B = 1x4

       0    0    0    0
}}}

----



== Vector Functions ==

These functions operate on matrices that are specifically of sizes ''1 x n'' or ''n x 1''. MATLAB generally can work with either row or column vectors.

||'''Name'''  ||'''Meaning'''                  ||
||`cross(a,b)`||Cross product                  ||
||`dot(a,b)`  ||Dot product                    ||

Diff for "MATLAB/BuiltinFunctions"