monotonically UK /ˌmɒnəˈtɒnɪkli/US /ˌmɑnəˈtɑnɪkli/ adverb2 •In a monotonic manner, of a function that either never decreases or never increases as its independent variable increases. •In a monotonic manner, pertaining to the Greek system of diacritics which discards the breathings and employs a single accent to indicate stress.