monotonically

[ mon-uh-ton-ik-lee ]

adverb

1. in a monotone; without varying the pitch or expression of one’s voice:

   A bubbly “So I had the job interview!” conveys one thing, while the same words said monotonically and hesitantly convey the opposite.

2. Mathematics. (of a function or sequence) in such a way as to generate progressively higher or lower values consistently, with no reversal:

   Show that x3 – 3x2 + 3x + 2 is monotonically increasing in every interval.

Word History and Origins

Origin of monotonically¹

monotonic ( def ) + -ally ( def )