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• ID : Q629085

말뭉치

1. The phrases "multivalued function" and "partial function" upset some picky types who say things like, "But a multi­valued func­tion is not a func­tion!".
2. The term "multivalued function" is, therefore, a misnomer since functions are single-valued.
3. The indefinite integral is a multivalued function of real-valued functions.
4. The practice of allowing function in mathematics to mean also multivalued function dropped out of usage at some point in the first half of the twentieth century.
5. A multivalued function also known as multi-function, multimap, set-valued function.
6. The term of ”multivalued function” is not correct, but became very popular.
7. Also the indefinite integral can be considered as a multivalued function.
8. Well… Our multivalued function here does not have an infinite number of values for each z: it has only two, namely √r ei(θ/2) and √r ei(θ/2 + π).
9. A multiple-valued function can be considered as a collection of single-valued functions, each member of which is called a branch of the function.
10. One way to generalize this notion is to remove the uniqueness aspect of this assignment, and what results is a multivalued function.
11. Another way of looking at a multivalued function is to interpret it as a special type of a relation , called a total relation.
12. All of this becomes a bit clearer using the notion of the Riemann Surface associated with a multiple valued function on the complex plane.
13. In mathematics, a multivalued function, also called multifunction, many-valued function, set-valued function, is similar to a function, but may associate several values to each input.
14. The term multivalued function originated in complex analysis, from analytic continuation.
15. Alternatively, dealing with the multivalued function allows having something that is everywhere continuous, at the cost of possible value changes when one follows a closed path (monodromy).
16. Every real number greater than zero has two real square roots, so that square root may be considered a multivalued function.
17. A branch point is a point “z” where a multivalued function equals zero or infinity.

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위키데이터

• ID : Q629085