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The term antonym (and the related antonymy) is commonly taken to be synonymous with opposite, but antonym also has other more restricted meanings. Graded (or gradable) antonyms are word pairs whose meanings are opposite and which lie on a continuous spectrum (hot, cold).
Converses can be understood as a pair of words where one word implies a relationship between two objects, while the other implies the existence of the same relationship when the objects are reversed. [3] Converses are sometimes referred to as complementary antonyms because an "either/or" relationship is present between them. One exists only ...
The same term can also be used more informally to refer to something "standard" or "classic". For example, one might say that Euclid's proof is the "canonical proof" of the infinitude of primes. There are two canonical proofs that are always used to show non-mathematicians what a mathematical proof is like:
For example, in the expression 3(x+y) the parentheses are symbols of grouping, but in the expression (3, 5) the parentheses may indicate an open interval. The most common symbols of grouping are the parentheses and the square brackets, and the latter are usually used to avoid too many repeated parentheses.
g 1, g 2 denotes the ordered pair of the two group elements. *' can be viewed as the naturally induced addition of +. In group theory , a branch of mathematics , an opposite group is a way to construct a group from another group that allows one to define right action as a special case of left action .
Other contronyms are a form of polysemy, but where a single word acquires different and ultimately opposite definitions. For example, sanction—"permit" or "penalize"; bolt (originally from crossbows)—"leave quickly" or "fix/immobilize"; fast—"moving rapidly" or "fixed in place".
The expression "macaroni and cheese" is an irreversible binomial.The order of the two keywords of this familiar expression cannot be reversed idiomatically.. In linguistics and stylistics, an irreversible binomial, [1] frozen binomial, binomial freeze, binomial expression, binomial pair, or nonreversible word pair [2] is a pair of words used together in fixed order as an idiomatic expression ...
For example, Michael Maier stresses that the union of opposites is the aim of the alchemical work. Or, according to Paracelsus ' pupil, Gerhard Dorn , the highest grade of the alchemical coniunctio consisted in the union of the total man with the unus mundus ("one world").