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In mathematics, the adjective trivial is often used to refer to a claim or a case which can be readily obtained from context, or an object which possesses a simple structure (e.g., groups, topological spaces).
Triviality Meaning in Maths. In Mathematics, triviality is a property of objects having simple structures. The word trivial is used for simple and evident concepts or things, such as – topological spaces and groups that have a simple arrangement. The antonym of trivial is non-trivial.
The definition of the word "trivial" is a matter of consensus, and that consensus can change even among mathematicians. It is important to not that you may claim something is trivial only if a vast majority of mathematicians in your field also consider it trivial.
In Mathematics, we define triviality as a property of objects that have simple structures. The word trivial is basically used for very simple and evident concepts or things, for example – topological spaces and groups have a very simple arrangement.
We define triviality in mathematics as a quality of things with simple structures. The term trivial refers to very fundamental and obvious notions or entities, such as topological spaces and groups, which have a very simple layout. Nontrivial is the most basic and straightforward antonym of trivial.
- Arpita Srivastava
A comprehensive guide to the concept of Triviality in Mathematics. Learn about its meaning, examples, proofs, and the difference between trivial and non-trivial solutions.
In mathematics, the term "trivial" is often used to refer to objects (e.g., groups, topological spaces) with a very simple structure. These include, among others: Empty set: the set containing no or null members. Trivial group: the mathematical group containing only the identity element.
