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A relation is defined as a set of tuples. Mathematically, elements of a set have no order among them; hence, tuples in a relation do not have any particular order. In other words, a relation is not sensitive to the ordering of tuples. Tuple ordering is not part of a relation definition because a relation attempts to represent facts at a logical or abstract level. Many logical orders can be specified on a relation but there is no preference for one logical ordering over another.

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Q: Why are tuples in a relation not ordered?

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A set of ordered pairs is a relation. Or Just simply "Coordinates"

Usually the set of x values.

Describe how to find the domain and range of a relation given by a set of ordered pairs.

All functions are relations but all relations are not functions.

A relation is a set of ordered pairs.A function is a relation such that for each element there is one and only one second element.Example:{(1, 2), (4, 3), (6, 1), (5, 2)}This is a function because every ordered pair has a different first element.Example:{(1, 2), (5, 6), (7, 2), (1, 3)}This is a relation but not a function because when the first element is 1, the second element can be either 2 or 3.

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Since relation is a set, and tuples are element of a set, according to set theory, the elements of a set are not ordered.

A relation is defined as a set of tuples. Mathematically, elements of a set have no order among them; hence, tuples in a relation do not have any particular order. In other words, a relation is not sensitive to the ordering of tuples. Tuple ordering is not part of a relation definition because a relation attempts to represent facts at a logical or abstract level. Many logical orders can be specified on a relation but there is no preference for one logical ordering over another.

ExtensionThe extension of a given relation is the set of tuples appearing in that relation at any given instance. The extension thus varies with time. It changes as tuples are created, destroyed, and updated.

No Duplicate Tuples - A relation cannot contain two or more tuples which have the same values for all the attributes. i.e., In any relation, every row is unique. • Tuples are unordered - The order of rows in a relation is immaterial. • Attributes are unordered - The order of columns in a relation is immaterial. • Attribute Values are Atomic - Each tuple contains exactly one value for each attribute. It may be noted that many of the properties of relations follow the fact that the body of a relation is a mathematical set.

Union of Sets | Intersection of Set | Difference of Set | Complement of Set | Ordered Pair | Equality or Ordered n-tuples | Cartesian Products of Set :))♥

A relation is a set of ordered pairs

If a set of ordered pairs is not a relation, the set can still be a function.

In database theory, a relation is defined as a set of tuples that have the same attributes. A tuple is also known as a row or record.

A relation is defined as a set of ordered pairs. A function is a special kind of relation ...

A relation is when the domain in the ordered pair (x) is different from the domain in all other ordered pairs. The range (y) can be the same and it still be a function.

A set of ordered pairs is a relation. Or Just simply "Coordinates"

set of ordered pairs