21.1.3 Triangle function
The triangle function is defined by
| Λ(x)=
| ⎧
⎨
⎩ | | 1−|x|, | |x|<1, |
| 0, | otherwise.
|
|
|
This is equal to the convolution of rectangle
function with itself (see Section 21.1.2).
The tri
command computes the triangle function.
-
tri takes
x, an expression.
- tri(x) returns the value of triangle function at x.
Example
|
| |
| ⎛
⎝ | −x+1+1 | ⎞
⎠ | ⎛
⎝ | θ | ⎛
⎝ | x−1 | ⎞
⎠ | −θ | ⎛
⎝ | x−1−1 | ⎞
⎠ | ⎞
⎠ | + | ⎛
⎝ | 1+x−1 | ⎞
⎠ | ⎛
⎝ | θ | ⎛
⎝ | −x+1 | ⎞
⎠ | −θ | ⎛
⎝ | −x+1−1 | ⎞
⎠ | ⎞
⎠ |
| | | | | | | | | | |
|