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Opposition is a semantic relation in which one word has a sense or meaning that negates or, in terms of a scale, is distant from a related word. Some words lack a lexical opposite due to an accidental gap in the language's lexicon. For instance, while the word "devout" has no direct opposite, it is easy to conceptualize a scale of devoutness ...
Binary opposition is the system of language and/or thought by which two theoretical opposites are strictly defined and set off against one another. [1] It is the contrast between two mutually exclusive terms, such as on and off, up and down, left and right. [ 2 ]
d / d Leibniz's notation for the derivative, which is used in several slightly different ways. 1. If y is a variable that depends on x, then , read as "d y over d x" (commonly shortened to "d y d x"), is the derivative of y with respect to x. 2.
In category theory, a branch of mathematics, the opposite category or dual category C op of a given category C is formed by reversing the morphisms, i.e. interchanging the source and target of each morphism. Doing the reversal twice yields the original category, so the opposite of an opposite category is the original category itself.
An unpaired word is one that, according to the usual rules of the language, would appear to have a related word but does not. [1] Such words usually have a prefix or suffix that would imply that there is an antonym, with the prefix or suffix being absent or opposite.
In category theory, a branch of mathematics, duality is a correspondence between the properties of a category C and the dual properties of the opposite category C op.Given a statement regarding the category C, by interchanging the source and target of each morphism as well as interchanging the order of composing two morphisms, a corresponding dual statement is obtained regarding the opposite ...
A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. [1] [2] It is a statement that, despite apparently valid reasoning from true or apparently true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion.
The origin of the term in mathematical language comes from the medieval trivium curriculum, which distinguishes from the more difficult quadrivium curriculum. [ 1 ] [ 3 ] The opposite of trivial is nontrivial , which is commonly used to indicate that an example or a solution is not simple, or that a statement or a theorem is not easy to prove.