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  2. Function (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Function_(mathematics)

    Partial functions are defined similarly to ordinary functions, with the "total" condition removed. That is, a partial function from X to Y is a binary relation R between X and Y such that, for every x ∈ X , {\displaystyle x\in X,} there is at most one y in Y such that ( x , y ) ∈ R . {\displaystyle (x,y)\in R.}

  3. Self-similarity - Wikipedia

    en.wikipedia.org/wiki/Self-similarity

    This property means that simple models using a Poisson distribution are inaccurate, and networks designed without taking self-similarity into account are likely to function in unexpected ways. Similarly, stock market movements are described as displaying self-affinity, i.e. they appear self-similar when transformed via an appropriate affine ...

  4. Synonym - Wikipedia

    en.wikipedia.org/wiki/Synonym

    A synonym is a word, morpheme, or phrase that means precisely or nearly the same as another word, morpheme, or phrase in a given language. [2] For example, in the English language , the words begin , start , commence , and initiate are all synonyms of one another: they are synonymous .

  5. Thesaurus - Wikipedia

    en.wikipedia.org/wiki/Thesaurus

    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 ...

  6. Pleonasm - Wikipedia

    en.wikipedia.org/wiki/Pleonasm

    Pleonasm sometimes serves the same function as rhetorical repetition—it can be used to reinforce an idea, contention or question, rendering writing clearer and ...

  7. Field with one element - Wikipedia

    en.wikipedia.org/wiki/Field_with_one_element

    A monoid ideal in a monoid A is a subset I that is multiplicatively closed, contains 0, and such that IA = {ra : r ∈ I, a ∈ A} = I. Such an ideal is prime if A ∖ I is multiplicatively closed and contains 1. For monoids A and B, a monoid homomorphism is a function f : A → B such that =; =, and

  8. List of mathematical abbreviations - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical...

    arcosech – inverse hyperbolic cosecant function. (Also written as arcsch.) arcosh – inverse hyperbolic cosine function. arcoth – inverse hyperbolic cotangent function. arcsch – inverse hyperbolic cosecant function. (Also written as arcosech.) arcsec – inverse secant function. arcsin – inverse sine function. arctan – inverse ...

  9. Superadditivity - Wikipedia

    en.wikipedia.org/wiki/Superadditivity

    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 .