Definitions for single-valued function
sin·gle-val·ued func·tion

Princeton's WordNetRate this definition:0.0 / 0 votes

1. function, mathematical function, single-valued function, map, mappingnoun

   (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)

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1. single-valued functionnoun

   Any function in which each point in the domain maps to just one point in the range

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1. single-valued function

   In mathematics, multivalued function, also called multifunction and many-valued function, is a set-valued function with continuity properties that allow considering it locally as an ordinary function. Multivalued functions arise commonly in applications of implicit function theorem, since this theorem can be viewed as asserting the existence of a multivalued function. In particular, the inverse function of a differentiable function is a multivalued function. For example, the complex logarithm is a multivalued function, as the inverse of the exponential function. It cannot be considered as an ordinary function, since, when one follow one value of the logarithm along a circle centered at 0, one gets another value than the starting one after a complete turn. This phenomenon is called monodromy. Another common way for defining a multivalued function is analytic continuation, which generates commonly some monodromy: analytic continuation along a closed curve may generate a final value that differs from the starting value. Multivalued functions arise also as solutions of differential equations, where the different values are parametrized by initial conditions.

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1. single-valued function

   A single-valued function, also referred to as a univalent function, is a type of function that for each input from the domain assigns exactly one output in the codomain. This means the function never produces two or more distinct results for the same input.

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1. Single-valued function

   A single-valued function is an emphatic term for a mathematical function in the usual sense. That is, each element of the function's domain maps to a single, well-defined element of its range. This contrasts with a general binary relation, which can be viewed as being a multi-valued function.

Matched Categories

1. • Mathematical Relation
   • Mathematics

How to pronounce single-valued function?

1. Alex

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How to say single-valued function in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of single-valued function in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of single-valued function in Pythagorean Numerology is: 8

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=single-valued function
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Single-Valued_Function
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Single-Valued_Function
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=single-valued function