Determine Whether the Binary Relation Is

question 46

Short Answer

determine whether the binary relation is:
(1) reflexive, (2) symmetric, (3) antisymmetric, (4) transitive.
-The relation R on the set of all people where aR b means that a is at least as tall as b.

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Definitions:

Category

People who share one or more attributes but who lack a sense of common identity or belonging.

Social networks

Structures made up of individuals or organizations connected by one or more specific types of interdependency, such as friendship, kinship, common interest, or economic exchange.

Duncan Watts

A sociologist known for his work on network theory, particularly in relation to small worlds and collective dynamics.

Charismatic authority

Describes a form of leadership where followers attribute extraordinary leadership abilities or qualities to a leader, often seen as revolutionary or heroic.