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An antonym is one of a pair of words with opposite meanings. Each word in the pair is the antithesis of the other. A word may have more than one antonym. There are three categories of antonyms identified by the nature of the relationship between the opposed meanings.
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, sometimes simply as lists of synonyms and antonyms.
Hindi: कल and Urdu: کل (kal) may mean either "yesterday" or "tomorrow" (disambiguated by the verb in the sentence).; Icelandic: fram eftir can mean "toward the sea" or "away from the sea" depending on dialect.
Operationalization is the scientific practice of operational definition, where even the most basic concepts are defined through the operations by which we measure them. The practice originated in the field of physics with the philosophy of science book The Logic of Modern Physics (1927), by Percy Williams Bridgman, whose methodological position is called "operationalism".
Some authors define measurable functions as exclusively real-valued ones with respect to the Borel algebra. [ 1 ] If the values of the function lie in an infinite-dimensional vector space , other non-equivalent definitions of measurability, such as weak measurability and Bochner measurability , exist.
If (,,) is a measure space, a property is said to hold almost everywhere in if there exists a measurable set with () =, and all have the property . [5] Another common way of expressing the same thing is to say that "almost every point satisfies P {\displaystyle P\,} ", or that "for almost every x {\displaystyle x} , P ( x ) {\displaystyle P(x ...
where is a measurable set and is the indicator function of . This agrees with the convolution defined above when μ and ν are regarded as distributions, as well as the convolution of L 1 functions when μ and ν are absolutely continuous with respect to the Lebesgue measure.
Synonyms often express a nuance of meaning or are used in different registers of speech or writing. Various technical domains may employ synonyms to convey precise technical nuances. Some writers avoid repeating the same word in close proximity, and prefer to use synonyms: this is called elegant variation. Many modern style guides criticize this.