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# ne, ~=

Determine inequality

## Syntax

``A ~= B``
``ne(A,B)``

## Description

example

````A ~= B` returns a logical array with elements set to logical `1` (`true`) where arrays `A` and `B` are not equal; otherwise, the element is logical `0` (`false`). The test compares both real and imaginary parts of numeric arrays. `ne` returns logical `1` (`true`) where `A` or `B` have NaN or undefined `categorical` elements.```
````ne(A,B)` is an alternative way to execute `A ~= B`, but is rarely used. It enables operator overloading for classes.```

## Examples

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Create two vectors containing both real and imaginary numbers, then compare the vectors for inequality.

```A = [1+i 3 2 4+i]; B = [1 3+i 2 4+i]; A ~= B```
```ans = 1x4 logical array 1 1 0 0 ```

The `ne` function tests both real and imaginary parts for inequality, and returns logical `1` (`true`) where one or both parts are not equal.

Create a character vector.

`M = 'masterpiece';`

Test for the presence of a specific character using `~=`.

`M ~= 'n'`
```ans = 1x11 logical array 1 1 1 1 1 1 1 1 1 1 1 ```

The value of logical `1` (`true`) indicates the absence of the character `'n'`. The character is not present in the vector.

Create a categorical array with two values: `'heads'` and `'tails'`.

`A = categorical({'heads' 'heads' 'tails'; 'tails' 'heads' 'tails'})`
```A = 2x3 categorical heads heads tails tails heads tails ```

Find all values not in the `'heads'` category.

`A ~= 'heads'`
```ans = 2x3 logical array 0 0 1 1 0 1 ```

A value of logical `1` (`true`) indicates a value not in the category. Since `A` only has two categories, `A ~= 'heads'` returns the same answer as `A == 'tails'`.

Compare the rows of `A` for inequality.

`A(1,:) ~= A(2,:)`
```ans = 1x3 logical array 1 0 0 ```

A value of logical `1` (`true`) indicates where the rows have unequal category values.

Many numbers expressed in decimal text cannot be represented exactly as binary floating numbers. This leads to small differences in results that the `~=` operator reflects.

Perform a few subtraction operations on numbers expressed in decimal and store the result in `C`.

`C = 0.5-0.4-0.1`
```C = -2.7756e-17 ```

With exact decimal arithmetic, `C` should be equal to exactly `0`. Its small value is due to the nature of binary floating-point arithmetic.

Compare `C` to `0` for inequality.

`C ~= 0`
```ans = logical 1 ```

Compare floating-point numbers using a tolerance, `tol`, instead of using `~=`.

```tol = eps(0.5); abs(C-0) > tol```
```ans = logical 0 ```

The two numbers, `C` and `0`, are closer to one another than two consecutive floating-point numbers near `0.5`. In many situations, `C` may act like `0`.

Compare the elements of two `datetime` arrays for inequality.

Create two `datetime` arrays in different time zones.

```t1 = [2014,04,14,9,0,0;2014,04,14,10,0,0]; A = datetime(t1,'TimeZone','America/Los_Angeles'); A.Format = 'd-MMM-y HH:mm:ss Z'```
```A = 2x1 datetime 14-Apr-2014 09:00:00 -0700 14-Apr-2014 10:00:00 -0700 ```
```t2 = [2014,04,14,12,0,0;2014,04,14,12,30,0]; B = datetime(t2,'TimeZone','America/New_York'); B.Format = 'd-MMM-y HH:mm:ss Z'```
```B = 2x1 datetime 14-Apr-2014 12:00:00 -0400 14-Apr-2014 12:30:00 -0400 ```

Check where elements in `A` and `B` are not equal.

`A~=B`
```ans = 2x1 logical array 0 1 ```

## Input Arguments

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Operands, specified as scalars, vectors, matrices, or multidimensional arrays. Inputs `A` and `B` must either be the same size or have sizes that are compatible (for example, `A` is an `M`-by-`N` matrix and `B` is a scalar or `1`-by-`N` row vector). For more information, see Compatible Array Sizes for Basic Operations.

You can compare numeric inputs of any type, and the comparison does not suffer loss of precision due to type conversion.

• If one input is a `categorical` array, the other input can be a `categorical` array, a cell array of character vectors, or a single character vector. A single character vector expands into a cell array of character vectors of the same size as the other input. If both inputs are ordinal `categorical` arrays, they must have the same sets of categories, including their order. If both inputs are `categorical` arrays that are not ordinal, they can have different sets of categories. See Compare Categorical Array Elements for more details.

• If one input is a `datetime` array, the other input can be a `datetime` array, a character vector, or a cell array of character vectors.

• If one input is a `duration` array, the other input can be a `duration` array or a numeric array. The operator treats each numeric value as a number of standard 24-hour days.

• If one input is a string array, the other input can be a string array, a character vector, or a cell array of character vectors. The corresponding elements of `A` and `B` are compared lexicographically.

Data Types: `single` | `double` | `int8` | `int16` | `int32` | `int64` | `uint8` | `uint16` | `uint32` | `uint64` | `logical` | `char` | `string` | `categorical` | `datetime` | `duration`
Complex Number Support: Yes

## Compatibility Considerations

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Behavior changed in R2016b

Behavior changed in R2020b

## See Also

### Topics

Introduced before R2006a

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