monotone non-decreasing function
nounUK /ˈmɒnətəʊn nɒn dɪˈkriːsɪŋ ˈfʌŋkʃən/
US /ˈmɑːnətoʊn nɑːn dɪˈkriːsɪŋ ˈfʌŋkʃən/
A function that never goes down as you move to the right.
The sequence 1, 2, 2, 3, 5 is produced by a monotone non-decreasing function.
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OTHER MEANINGS
2. A function f such that x ≤ y implies f(x) ≤ f(y) for all x and y in its domain.
Every constant function is a monotone non-decreasing function.
3. A real-valued function whose graph never slopes downward from left to right.
The step function that stays flat and then jumps up is monotone non-decreasing.
4. A map between ordered sets that preserves the order relation in the forward direction.
In lattice theory, a monotone non-decreasing function preserves the partial order.