Binary operation and Function (mathematics)

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Difference between Binary operation and Function (mathematics)

Binary operation vs. Function (mathematics)

In mathematics, a binary operation on a set is a calculation that combines two elements of the set (called operands) to produce another element of the set. In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

Algebra

Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.

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Associative property

In mathematics, the associative property is a property of some binary operations.

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Commutative property

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

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Division by zero

In mathematics, division by zero is division where the divisor (denominator) is zero.

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Identity element

In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.

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Map (mathematics)

In mathematics, the term mapping, sometimes shortened to map, refers to either a function, often with some sort of special structure, or a morphism in category theory, which generalizes the idea of a function.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Number

A number is a mathematical object used to count, measure and also label.

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Operation (mathematics)

In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.

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Ordered pair

In mathematics, an ordered pair (a, b) is a pair of objects.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

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Tuple

In mathematics, a tuple is a finite ordered list (sequence) of elements.

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Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

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