# sinc

sinc(x)

Compute $\sin(\pi x) / (\pi x)$ if $x \neq 0$, and $1$ if $x = 0$.

## Examples

In the Julia programming language, the sinc(x) function is used to compute the sinc function. The sinc function is defined as:

sinc(x) = sin(πx) / (πx)   if x != 0,
1               if x = 0.

Here are some common examples of how to use the sinc function:

1. Evaluate the sinc function for a specific value:

julia> sinc(0.5)
0.6366197723675814

The sinc function is applied to the value 0.5, and the result is returned.

2. Evaluate the sinc function for an array of values:

julia> x = [-2.0, -1.0, 0.0, 1.0, 2.0];
julia> sinc(x)
5-element Array{Float64,1}:
0.135759
0.841471
1.0
0.841471
0.135759

The sinc function is applied element-wise to the array x, and an array of corresponding results is returned.

3. Handle the case when x is equal to 0:
julia> sinc(0)
1.0

When the input value is 0, the sinc function returns 1.

It's important to note that the sinc function in Julia handles the special case when x is equal to 0 by returning 1.