dyadic operation
Definition
- Noun:
- An operation on exactly two operands: In mathematics, logic, and computer science, a dyadic operation is a calculation or function that combines exactly two elements (called operands) to produce a new element. It is synonymous with a binary operation.
Usage
- The term is used in formal academic and technical contexts, particularly in mathematics (e.g., algebra, set theory), computer programming, and formal logic.
- It specifies the precise number of inputs required for the operation.
Examples
- Noun:
- Addition is a classic example of a dyadic operation.
- In the expression
5 + 3, the plus sign represents a dyadic operation. - The programmer implemented a new dyadic operation for the custom data type.
Advanced Usage
- Formal Definition: In set theory, a dyadic operation on a set S is formally defined as a function from the Cartesian product S × S to S.
- Contrast with Other Operations: It is distinct from a monadic (or unary) operation, which acts on a single operand (e.g., negation: ), and a triadic (or ternary) operation, which requires three operands.
Variants and Related Words
- Dyadic (adjective): Pertaining to or involving two parts or elements.
- They studied the dyadic relationship between teacher and student.
- Binary operation (noun): A common synonym for "dyadic operation."
- Operand (noun): An object upon which an operation is performed.
Synonyms
- Binary operation: The most direct and commonly used synonym.
- Two-operand operation: A descriptive synonym.
Related Phrases
- Dyadic relation: A relation involving two elements or entities.
- Closed under the operation: A property where applying a dyadic operation to any two elements of a set always produces another element within the same set.
Noun
-
an operation on exactly two operands
