Search results
Results from the WOW.Com Content Network
Opposites may be viewed as a special type of incompatibility. [1] Words that are incompatible create the following type of entailment (where X is a given word and Y is a different word incompatible with word X): [2] sentence A is X entails sentence A is not Y [3] An example of an incompatible pair of words is cat : dog:
Īhām, ambiguity used as a literary device in Middle Eastern poetry-onym, suffix denoting a class of names; Oxymoron, contradiction used as a figure of speech; Semantics; Skunked term, a term that becomes difficult to use because it is evolving from one meaning to another, or is otherwise controversial
Used paired with ±, denotes the opposite sign; that is, + if ± is –, and – if ± is +. ÷ (division sign) Widely used for denoting division in Anglophone countries, it is no longer in common use in mathematics and its use is "not recommended". [1] In some countries, it can indicate subtraction.: 1.
In linguistics, converses or relational antonyms are pairs of words that refer to a relationship from opposite points of view, such as parent/child or borrow/lend. [ 1 ] [ 2 ] The relationship between such words is called a converse relation . [ 2 ]
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.
Although it is quite freely used in mathematical proofs, not every school of mathematical thought accepts this kind of nonconstructive proof as universally valid. [ 1 ] More broadly, proof by contradiction is any form of argument that establishes a statement by arriving at a contradiction, even when the initial assumption is not the negation of ...
An alternative notation for [] used in mathematical logic and set theory is ″. [6] [7] Some texts refer to the image of as the range of , [8] but this usage should be avoided because the word "range" is also commonly used to mean the codomain of .
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: