Single-valued

Adjective describing a function or relation that assigns exactly one value to each input or element in its domain. In mathematical contexts, single-valued functions produce a unique output for every input, distinguishing them from multi-valued functions that may yield several outputs for a single input.

Single-valued meaning with examples

In mathematics, a single-valued function is essential for establishing predictable outputs; for instance, the square root function typically returns the principal root, ensuring that every non-negative number corresponds to one specific value.
When programming, a variable declared as single-valued allows for clarity and simplicity in data handling, preventing unexpected results that might arise from functions returning multiple values for the same input.
The concept of single-valued mappings is crucial in graph theory, where each vertex can be associated with only one edge, facilitating easier navigation and understanding of network structures and relationships.
In database design, maintaining single-valued attributes ensures the integrity of data entries, making it clear that each field will correspond to a unique value, thus reducing redundancy and complexity.
When defining a physical property, such as temperature, it can be considered single-valued in a given context, as each location and time will correspond to a specific temperature reading without ambiguity.

Single-valued Synonyms

clear-cut coherent definite distinct exclusive homogeneous individual isolated limited one-to-one plain singular solitary specific straightforward unambiguous unified unique unitary univalent

Single-valued Antonyms

ambiguous broad common composite confusing diffuse disparate diverse general heterogeneous inconsistent indeterminate multiple multi-valued non-specific plural uncertain vague variable variegated