single-valued function Antonyms
No Synonyms and anytonyms found
Meaning of single-valued function
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
- 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.
- 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.
- The sine function is a single-valued function that maps each real number to a corresponding value between -1 and 1.
- Single-valued functions are fundamental in calculus and analysis for their predictability and tractability.
- The logarithm function is single-valued for positive real numbers, where each input has a unique logarithmic value.
- Computer programs often require single-valued functions for simplicity and efficiency in processing data.
- The exponential function is single-valued, with each real number having a unique exponential value.
- In complex analysis, single-valued functions are defined on certain regions to ensure analytic continuation and consistency.
FAQs About 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
No synonyms found.
No antonyms found.
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.
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.