Antonyms for monotony include excitement, variety, break, change, colour, color, difference, dissimilarity, liveliness and polytony. {\displaystyle T:X\rightarrow X^{*}} , then there is an inverse function on f nies 1. > Additionally, several of the synonyms include important context markers that aid language learners in the proper usage of those terms.

What made you want to look up monotony? ( [Sidenote: Monotony] (4) Remember that monotony is the curse of labor for both child and adult, but that _monotony cannot exist where new intellectual insights are constantly being given_.. Study of Child Life. | Meaning, pronunciation, translations and examples The composite of two monotone mappings is also monotone.

f This is the case in economics with respect to the ordinal properties of a utility function being preserved across a monotonic transform (see also monotone preferences). : These properties are the reason why monotonic functions are useful in technical work in analysis. x

In functional analysis on a topological vector space For instance "at least two of a,b,c hold" is a monotonic function of a,b,c, since it can be written for instance as ((a and b) or (a and c) or (b and c)). = 1, a function that increases monotonically does not exclusively have to increase, it simply must not decrease. ( Furthermore, the strict relations < and > are of little use in many non-total orders and hence no additional terminology is introduced for them. {\displaystyle y} X x ≠ f [2] That is, as per Fig. {\displaystyle f\colon \mathbb {R} \to \mathbb {R} } Nglish: Translation of monotony for Spanish Speakers, Britannica English: Translation of monotony for Arabic Speakers. × ≤ f is connected. Monotony: a tedious lack of variety. y See how your sentence looks with different synonyms. ≤ , so it reverses the order (see Figure 2).



A function is unimodal if it is monotonically increasing up to some point (the mode) and then monotonically decreasing. {\displaystyle G} f It is therefore not decreasing and not increasing, but it is neither non-decreasing nor non-increasing.

If it is not clear that "increasing" and "decreasing" are taken to include the possibility of repeating the same value at successive arguments, one may use the terms weakly monotone, weakly increasing and weakly decreasing to stress this possibility. the (possibly empty) set Antonym opposite words contradict each other and meet opposite meanings. For other uses, see, Monotonicity in the context of search algorithms, See the section on Cardinal Versus Ordinal Utility in, Conditions for optimality: Admissibility and consistency pg. Opposites in English – Word list – A – F. Advertisements. y {\displaystyle f\!\left(x\right)} With Reverso you can find the English translation, definition or synonym for opposite and thousands of other words. Which Words in a Title Should Be Capitalized? {\displaystyle G(T)} < A map I must thank you for this other interest in the monotony of life. The monotony of savage life in this place became intolerable.

is a strictly monotonic function, then Also you can find some other opposite words using the online search on our website. This is because in order for a function to have an inverse there needs to be a one-to-one mapping from the range to the domain of the function, since a monotonic function has some values that are constant in its domain, this means that there would be more than one value in the range that maps to this constant value. ∗ A monotone operator is said to be maximal monotone if its graph is a maximal monotone set. Biology Prefixes and Suffixes: Ect- or Ecto-, amoral, acellular, abyss, achromatic, anhydrous, companion, commingle, contact, concentrate, devalue, deactivate, debug, degrade, deduce, extracurricular, extramarital, extravagant, hyperactive, hypersensitive, hypercritical, illegal, immoral, inconsiderate, irresponsible, intersect, interstellar, intervene, interpenetrate, macroeconomics, macrostructure, macrocosm, omniscient, omnivorous, omniscient, omnidirectional, symmetry, symposium, synchronize, synapse, telecommunications, telemedicine, television, telephone, unfinished, unskilled, ungraceful, unfriendly, unicorn, unicellular, unicycle, unilateral, upbeat, updo, upgrade, upload, uphill, upstage, upscale, up-tempo, Ph.D., Rhetoric and English, University of Georgia, M.A., Modern English and American Literature, University of Leicester, B.A., English, State University of New York.
{\displaystyle f\!\left(x\right)\neq f\!\left(y\right)} of y x In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. 2
A function is called monotonically increasing (also increasing or non-decreasing[3]), if for all WordReference English Synonyms. Kachurovskii's theorem shows that convex functions on Banach spaces have monotonic operators as their derivatives. x ) Hence, an antitone function f satisfies the property. {\displaystyle f} 50 Opposite Words, English Opposite, Antonym Words Antonym opposite words contradict each other and meet opposite meanings. In calculus, a function {\displaystyle y}

is a monotone set. a f

x ... Thesaurus Antonyms Related Words Synonyms Legend: Switch to new thesaurus .

) b Opposites formed by prefixes (dis-, ex-, im-, in-, irr-, un- etc.) A function with this property is called strictly increasing. y But without variety, life has no spice, and monotony wearies the soul.

{\displaystyle <} T ) x w G Note, some textbooks mistakenly state that an inverse exists for a monotonic function, when they really mean that an inverse exists for a strictly monotonic function.

{\displaystyle Y} the Cartesian product {0, 1}n is ordered coordinatewise), then f(a1, ..., an) ≤ f(b1, ..., bn). X

(This labelled Hasse diagram is the dual of the function's labelled Venn diagram, which is the more common representation for n ≤ 3.). ,

Learn a new word every day. .). “Monotony.” Merriam-Webster.com Thesaurus, Merriam-Webster, https://www.merriam-webster.com/thesaurus/monotony. Opposite definition: If one thing is opposite another, it is on the other side of a space from it. Graphically, this means that an n-ary Boolean function is monotonic when its representation as an n-cube labelled with truth values has no upward edge from true to false. When we learn a language, when we learn a word in that language, it will be very useful for us to learn both the opposite and the synonyms of this word. in the definition of monotonicity is replaced by the strict order y . defined on a subset of the real numbers with real values is called monotonic if and only if it is either entirely non-increasing, or entirely non-decreasing. Many of today's English words contain prefixes from Greek or Latin. ≤ {\displaystyle x\leq y} X Go by the dictionary if you are unsure. absorbing, engaging, engrossing, gripping, interesting, intriguing, involving, riveting. Are We Entering 'Uncharted' or 'Unchartered' Waters. in Poor chap, and he'd been talkin' to me about the monotony of married life.

Examples of antonyms.

u , then The Most Epic Words You’re Probably Neglecting, 10 Types Of Nouns Used In The English Language. {\displaystyle \leq } {\displaystyle f} {\displaystyle f:X\rightarrow Y}

∗ X is said to be a monotone operator if. is a monotonically increasing function. And doubtless some break in the monotony gives a fillip of pleasure. Boost Your English Vocabulary With These 50 Greek and Latin Root Words. Uniformity or lack of variation in pitch, intonation, or inflection. Here you can find the antonyms list for the word monotony. Some more facts about these functions are: An important application of monotonic functions is in probability theory. {\displaystyle f} < Opposite of tedious because of lack of variety, Opposite of having an unvarying tone or pitch, Opposite of lacking strong features or characteristics and therefore uninteresting, Opposite of overly cautious in style, lacking creativity or innovation, “With nothing left to lose, he has to employ some, Opposite of seemingly endless because boring, “Personally, it was important for me to have, “I just can't make a decision on which device to purchase these days with the, Opposite of in computing this may involve a mechanism such as a loop, Opposite of free from interruptions or stoppages, “His reluctance to commit himself to one genre has undoubtedly been a contributing factor to his. For example, the function of figure 3 first falls, then rises, then falls again. The monotonic Boolean functions are precisely those that can be defined by an expression combining the inputs (which may appear more than once) using only the operators and and or (in particular not is forbidden). Understanding the meanings of the most common prefixes can help us deduce the definition of new words that we run across in our reading, especially knowing that they can make a word mean its opposite, such as the difference between possible and impossible. ,

R )

When we learn a language, when we learn a word in that language, it will be very useful for us to learn both the opposite and the synonyms of this word. [7], In Boolean algebra, a monotonic function is one such that for all ai and bi in {0,1}, if a1 ≤ b1, a2 ≤ b2, ..., an ≤ bn (i.e. Find another word for monotony. ( ( The term monotonic transformation (or monotone transformation) can also possibly cause some confusion because it refers to a transformation by a strictly increasing function. are not listed here. for each element Put another way, “a contronym is a word with a homonym (another word with the same spelling but different meaning) that is also an antonym (a … Also, a function can be said to be strictly monotonic on a range of values, and thus have an inverse on that range of value. , G

Another word for monotony: tedium, routine, boredom, dullness, sameness | Collins English Thesaurus y The terms "non-decreasing" and "non-increasing" should not be confused with the (much weaker) negative qualifications "not decreasing" and "not increasing".


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