# gt, >

Determine greater than

## Syntax

``A > B``
``gt(A,B)``

## Description

example

````A > B` returns a logical array or a table of logical values with elements set to logical `1` (`true`) where `A` is greater than `B`; otherwise, the element is logical `0` (`false`). The test compares only the real part of numeric arrays. `gt` returns logical `0` (`false`) where `A` or `B` have `NaN` or undefined `categorical` elements.```
````gt(A,B)` is an alternate way to execute `A > B`, but is rarely used. It enables operator overloading for classes.```

## Examples

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Determine if vector elements are greater than a given value.

Create a numeric vector.

`A = [1 12 18 7 9 11 2 15];`

Test the vector for elements that are greater than `10`.

`A > 10`
```ans = 1x8 logical array 0 1 1 0 0 1 0 1 ```

The result is a vector with values of logical `1` (`true`) where the elements of `A` satisfy the expression.

Use the vector of logical values as an index to view the values in `A` that are greater than `10`.

`A(A > 10)`
```ans = 1×4 12 18 11 15 ```

The result is a subset of the elements in `A`.

Create a matrix.

`A = magic(4)`
```A = 4×4 16 2 3 13 5 11 10 8 9 7 6 12 4 14 15 1 ```

Replace all values greater than `9` with the value `10`.

`A(A > 9) = 10`
```A = 4×4 10 2 3 10 5 10 10 8 9 7 6 10 4 10 10 1 ```

The result is a new matrix whose largest element is `10`.

Create an ordinal categorical array.

```A = categorical({'large' 'medium' 'small'; 'medium' ... 'small' 'large'},{'small' 'medium' 'large'},'Ordinal',1)```
```A = 2x3 categorical large medium small medium small large ```

The array has three categories: `'small'`, `'medium'`, and `'large'`.

Find all values greater than the category `'medium'`.

`A > 'medium'`
```ans = 2x3 logical array 1 0 0 0 0 1 ```

A value of logical `1` (`true`) indicates a value greater than the category `'medium'`.

Compare the rows of `A`.

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

The function returns logical `1` (`true`) where the first row has a category value greater than the second row.

Create a vector of complex numbers.

`A = [1+i 2-2i 1+3i 1-2i 5-i];`

Find the values that are greater than `2`.

`A(A > 2)`
```ans = 5.0000 - 1.0000i ```

`gt` compares only the real part of the elements in `A`.

Use `abs` to find which elements are outside a radius of `2` from the origin.

`A(abs(A) > 2)`
```ans = 1×4 complex 2.0000 - 2.0000i 1.0000 + 3.0000i 1.0000 - 2.0000i 5.0000 - 1.0000i ```

The result has more elements since `abs` accounts for the imaginary part of the numbers.

Create a vector of dates.

`A = datetime([2014,05,01;2014,05,31])`
```A = 2x1 datetime 01-May-2014 31-May-2014 ```

Find the dates that occur after May 10, 2014.

`A(A > '2014-05-10')`
```ans = datetime 31-May-2014 ```

Since R2023a

Create two tables and compare them. The row names (if present in both) and variable names must be the same, but do not need to be in the same orders. Rows and variables of the output are in the same orders as the first input.

`A = table([1;2],[3;4],VariableNames=["V1","V2"],RowNames=["R1","R2"])`
```A=2×2 table V1 V2 __ __ R1 1 3 R2 2 4 ```
`B = table([4;2],[3;1],VariableNames=["V2","V1"],RowNames=["R2","R1"])`
```B=2×2 table V2 V1 __ __ R2 4 3 R1 2 1 ```
`A > B`
```ans=2×2 table V1 V2 _____ _____ R1 false true R2 false false ```

## Input Arguments

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Operands, specified as scalars, vectors, matrices, multidimensional arrays, tables, or timetables. 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 an ordinal `categorical` array, the other input can be an ordinal `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. 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.

Inputs that are tables or timetables must meet the following conditions: (since R2023a)

• If an input is a table or timetable, then all its variables must have data types that support the operation.

• If only one input is a table or timetable, then the other input must be a numeric or logical array.

• If both inputs are tables or timetables, then:

• Both inputs must have the same size, or one of them must be a one-row table.

• Both inputs must have variables with the same names. However, the variables in each input can be in a different order.

• If both inputs are tables and they both have row names, then their row names must be the same. However, the row names in each input can be in a different order.

• If both inputs are timetables, then their row times must be the same. However, the row times in each input can be in a different order.

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

## Version History

Introduced before R2006a

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