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# Arithmetic

## Functions

## Topics

Addition, subtraction, multiplication, division, power,
rounding

`plus` |
Addition |

`uplus` |
Unary plus |

`minus` |
Subtraction |

`uminus` |
Unary minus |

`times` |
Element-wise multiplication |

`rdivide` |
Right array division |

`ldivide` |
Left array division |

`power` |
Element-wise power |

`mtimes` |
Matrix Multiplication |

`mrdivide` |
Solve systems of linear equations xA = B for x |

`mldivide` |
Solve systems of linear equations Ax = B for x |

`mpower` |
Matrix power |

`cumprod` |
Cumulative product |

`cumsum` |
Cumulative sum |

`diff` |
Differences and Approximate Derivatives |

`movsum` |
Moving sum |

`prod` |
Product of array elements |

`sum` |
Sum of array elements |

`ceil` |
Round toward positive infinity |

`fix` |
Round toward zero |

`floor` |
Round toward negative infinity |

`idivide` |
Integer division with rounding option |

`mod` |
Remainder after division (modulo operation) |

`rem` |
Remainder after division |

`round` |
Round to nearest decimal or integer |

`bsxfun` |
Apply element-wise operation to two arrays with implicit expansion enabled |

Matrix operations follow the rules of linear algebra,
and array operations execute element by element operations and support
multidimensional arrays. The period character (`.`

)
distinguishes the array operations from the matrix operations.

**Compatible Array Sizes for Basic Operations**

Most binary operators and functions
in MATLAB^{®} support numeric arrays that have compatible sizes.
Two inputs have compatible sizes if, for every dimension, the dimension
sizes of the inputs are either the same or one of them is 1.

Precedence rules determine the order in which MATLAB evaluates an expression.

MATLAB represents floating-point numbers in either double-precision or single-precision format. The default is double precision.

MATLAB supports 1-, 2-, 4-, and 8-byte storage for integer data. If you use the smallest integer type that accommodates your data, you can save memory and program execution time.

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