Why do some authors use terms "non-ascending" and "non-descending" instead of ascending and descending?

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In my math book, everywhere the author has used "non-ascending" instead of descending and "non-descending" instead of ascending.
I was wondering if there is some special meaning or use associated with it?
Because the way I see it is that it just increases the number of words and wastes ink.

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The sequence 2, 2, 2, 3, 4 is not increasing, but it's non-decreasing.

The sequence 2, 3, 4, 5, 6 is both increasing and non-decreasing.

Compare the difference between "less than" and "not greater than."

(I have never seen the words ascending/descending used in this context but I imagine it's the same).