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trevor
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Given that A = {1, 2, 3 ……..20} and R is a ternary relation on A defined by equation
x2 + 4y = z .Find the set of ordered triples of R.
x2 + 4y = z .Find the set of ordered triples of R.
trevor said:Given that A = {1, 2, 3 ……..20} and R is a ternary relation on A defined by equation
x2 + 4y = z .Find the set of ordered triples of R.
A ternary relation is a mathematical concept that represents a relationship between three elements or objects. It is a type of n-ary relation, where n refers to the number of elements involved in the relationship.
A ternary relation on a set A can be defined as a subset of the Cartesian product A x A x A, where each element in the subset is an ordered triple (a,b,c) such that a, b, and c are elements of set A.
The purpose of finding the set of ordered triples of a ternary relation on A is to analyze and understand the relationship between the elements of set A in a systematic and organized manner. It allows for a better understanding of the properties and characteristics of the ternary relation.
To find the set of ordered triples of a ternary relation on A, you can list out all the possible combinations of elements from set A in the form of ordered triples. You can also use a table or diagram to represent the ternary relation and identify the ordered triples from it.
Some real-life examples of ternary relations include the relationship between a student, a course, and a grade in a school, the relationship between a customer, a product, and a price in a store, and the relationship between a doctor, a patient, and a medication in a hospital.