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Abelian শব্দের বাংলা অর্থ: মুহাম্মদ হিদায়াত উল্লাহ
Abelian Meaning In Bengali মুহাম্মদ হিদায়াত উল্লাহ
Abelian
Definition
1) In mathematics, 'Abelian' refers to a mathematical structure or group in which the order of combining elements does not affect the result. It is named after the Norwegian mathematician Niels Henrik Abel.
2) 'Abelian' can also refer to a type of topological space called an Abelian group, which satisfies the commutative property for its group operation.
3) The term 'Abelian' can also describe a specific property of a mathematical operation, such as addition or multiplication, where the order of the operands does not impact the final outcome.
Examples
Abelian Example in a sentence
1) The Abelian group is known for its commutative properties.
2) An Abelian variety is a special kind of algebraic variety that has nice group properties.
3) The Abelian sandpile model is often used to study self-organized criticality.
4) The Abelian Higgs model is a quantum field theory that describes the interactions between gauge bosons and scalar fields.
5) One example of an Abelian lattice is the two-dimensional square lattice.
6) Abelian groups are important in mathematics due to their simple and well-understood structure.
7) The Abelian theorem states that all finitely generated abelian groups are isomorphic to a direct sum of cyclic groups.
8) The Abelian category provides a framework for studying algebraic structures with good functorial properties.
9) In algebraic geometry, the Abelian surface is a smooth projective surface with a positive definite symmetric bilinear form.
10) The Abelian integral represents an elliptic integral with a special form that simplifies its calculation.
11) Here is an example using the word 'Abelian':
12) The group of integers under addition is an Abelian group.
Part of Speech
Abelian (Noun)
Synonyms
Encyclopedia
In mathematics, 'Abelian' refers to a mathematical structure or group in which the order of combining elements does not affect the result. It is named after the Norwegian mathematician Niels Henrik Abel.
'Abelian' can also refer to a type of topological space called an Abelian group, which satisfies the commutative property for its group operation.
The term 'Abelian' can also describe a specific property of a mathematical operation, such as addition or multiplication, where the order of the operands does not impact the final outcome.
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