single-valued function Synonyms

No Synonyms and anytonyms found

single-valued function Meaning

Wordnet

single-valued function (n)

(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)

single-valued function Sentence Examples

1. In mathematics, a single-valued function assigns exactly one output to each input in its domain.
2. A single-valued function is also referred to as a well-defined function.
3. The square root function is an example of a single-valued function, where each non-negative real number has a unique square root.
4. A function cannot be multivalued; it must be single-valued to be considered well-behaved.
5. The sine function is a single-valued function that maps each real number to a corresponding value between -1 and 1.
6. Single-valued functions are fundamental in calculus and analysis for their predictability and tractability.
7. The logarithm function is single-valued for positive real numbers, where each input has a unique logarithmic value.
8. Computer programs often require single-valued functions for simplicity and efficiency in processing data.
9. The exponential function is single-valued, with each real number having a unique exponential value.
10. In complex analysis, single-valued functions are defined on certain regions to ensure analytic continuation and consistency.

FAQs About the word single-valued function

What is the meaning of the word single-valued function

(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

What are the synonyms of the word single-valued function

No synonyms found.

What are the antonyms of the word single-valued function

No antonyms found.

What is the usage of word single-valued function

In mathematics, a single-valued function assigns exactly one output to each input in its domain.

A single-valued function is also referred to as a well-defined function.

How to use the word single-valued function in a sentence?

The square root function is an example of a single-valued function, where each non-negative real number has a unique square root.

A function cannot be multivalued; it must be single-valued to be considered well-behaved.