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In statistics and related fields, a similarity measure or similarity function or similarity metric is a real-valued function that quantifies the similarity between two objects. Although no single definition of a similarity exists, usually such measures are in some sense the inverse of distance metrics : they take on large values for similar ...
Similarly, the function has a global (or absolute) minimum point at x ∗, if f(x ∗) ≤ f(x) for all x in X. The value of the function at a maximum point is called the maximum value of the function, denoted max ( f ( x ) ) {\displaystyle \max(f(x))} , and the value of the function at a minimum point is called the minimum value of the ...
The similarity is a function such that its value is greater when two points are closer (contrary to the distance, which is a measure of dissimilarity: the closer the points, the lesser the distance). The definition of the similarity can vary among authors, depending on which properties are desired. The basic common properties are Positive defined:
Pleonasm sometimes serves the same function as rhetorical repetition—it can be used to reinforce an idea, contention or question, rendering writing clearer and ...
Thesaurus Linguae Latinae. A modern english thesaurus. A thesaurus (pl.: thesauri or thesauruses), sometimes called a synonym dictionary or dictionary of synonyms, is a reference work which arranges words by their meanings (or in simpler terms, a book where one can find different words with similar meanings to other words), [1] [2] sometimes as a hierarchy of broader and narrower terms ...
The terminology is used similarly for equations with several unknowns. [ 18 ] In mathematical logic and computer science , an equation may described as a binary formula or Boolean -valued expression , which may be true for some values of the variables (if any) and false for other values. [ 19 ]
In full analogy to the above-mentioned four functions another set of four "half-value" functions exists as well: The haversed sine [27] or haversine (Latin semiversus), [28] [29] abbreviated haversin, semiversin, semiversinus, havers, hav, [30] [31] hvs, [nb 2] sem, or hv, [32] most famous from the haversine formula used historically in navigation
Similarly, a sequence,, … is called superadditive if it satisfies the inequality + + for all and . The term "superadditive" is also applied to functions from a boolean algebra to the real numbers where P ( X ∨ Y ) ≥ P ( X ) + P ( Y ) , {\displaystyle P(X\lor Y)\geq P(X)+P(Y),} such as lower probabilities .