dyadic operation

Thân thiện

A student writes a simple dyadic operation on the chalkboard.

Definition

1. 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.

Học thuật

Noun

1. an operation on exactly two operands