# How to calculate the difference between adjacent elements of a vector in Matlab and Octave

Use **diff() **function to calculate the difference between adjacent elements of a vector in Matlab and Octave

**diff(v)**

The parameter v is a vector with n elements.

The result is a vector with n-1 elements consisting of the difference between adjacent elements

## Example

Create a numeric vector with 5 elements

>> v=[5, 3, 7, 1, 4]

Calculate the difference between adjacent elements

>> diff(v)

ans =

-2 4 -6 3

The result is a vector with 4 elements.

The elements of the new vector are the difference between the adjacent elements of the original vector.

$$ v(2)-v(1) = 3 - 5 = -2 \\ v(3)-v(2)= 7 - 3 = 4 \\ v(4)-v(3) = 1-7 = -6 \\ v(5)-v(4) = 4-1 = 3 $$

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