(mathematics) In a monotonic manner, of a function that either never decreases or never increases as its independent variable increases.
Used in a Sentence
monotonically
Definitions, parts of speech, synonyms, and sentence examples for monotonically.
Editorial note
The correct solution is to use a monotonically increasing time function, such Linux’s clock_gettime() or OS X’s mach_absolute_time().
Examples16
Definitions2
Parts of speech1
Quick take
(mathematics) In a monotonic manner, of a function that either never decreases or never increases as its independent variable increases.
Meaning at a glance
The clearest senses and uses of monotonically gathered in one view.
In a monotonic manner, pertaining to the Greek system of diacritics which discards the breathings and employs a single accent to indicate stress.
Definitions
Core meanings and parts of speech for monotonically.
adverb
(mathematics) In a monotonic manner, of a function that either never decreases or never increases as its independent variable increases.
adverb
In a monotonic manner, pertaining to the Greek system of diacritics which discards the breathings and employs a single accent to indicate stress.
Example sentences
The correct solution is to use a monotonically increasing time function, such Linux’s clock_gettime() or OS X’s mach_absolute_time().
The correct solution is to use a monotonically-increasing timer, such as Linux's clock_gettime() or OS X’s mach_absolute_time().
It is known that when training an RBM, the reconstruction error decreases but not monotonically; in fact it fluctuates.
Well, its a monotonically increasing function of your contributions, but its not proportional to them, because of the bend points.
The sequence is not monotonically increasing.
How does TAI not also solve monotonically increasing values, and in a standardized way to boot?
System clocks still wouldn't be guaranteed to be monotonically increasing, but at least there wouldn't be minutes with 61 seconds.
Yes, but the VM clock guaranteed more, every time you access the clock using erlang:now() you would get a monotonically increasing value.
You can answer as many or as few as you want, but matches get better as you answer more, with monotonically diminishing returns.
You missed one: Your clock is not monotonically increasing at all times.
Concretely, I expect the peak salaries for people who program for a living to continue to increase more or less monotonically.
E($$$), for you operator fans, increases pretty much monotonically for each day you don't quit or get fired or succumb to a more tragic outcome.
Quote examples
In all seriousness, the definition of monotonically increasing that I was taught is the same as exists in wikipedia: "A function is called monotonically increasing (also increasing or non-decreasing), if for all x and y such that x <= y one has f(x) <= f(y).
There's no case to be made that, if I say a "monotonically increasing sequence" must be increasing rather than nondecreasing, I've made a terminological mistake.
It's monotonically varying." When I clicked "I think I know it", nothing happened.
You think the definition of "monotonic function" is more relevant to the meaning of "monotonically increasing sequence" than the definition of "monotone increasing" is?
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use monotonically in a sentence?
The correct solution is to use a monotonically increasing time function, such Linux’s clock_gettime() or OS X’s mach_absolute_time().
What does monotonically mean?
(mathematics) In a monotonic manner, of a function that either never decreases or never increases as its independent variable increases.
What part of speech is monotonically?
monotonically is commonly used as adverb.