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The following examples show the subjectivity and ambiguity of the triviality judgement. Triviality also depends on context. A proof in functional analysis would probably, given a number, trivially assume the existence of a larger number.
Learn triviality meaning in terms of Mathematics. Also, learn the proof of trivial with examples and other terminology used such as trivial solutions, trivial factors, trivial group, trivial graph.
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.
For example, the proof that the number $7$ is a prime number can be considered trivial. It is clear that this definition of the word is much more subjective than the first.
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.
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.
Triviality refers to the process of obtaining results from a context or an object with little or no effort. The objects used in these situations have simple topological structures. Graph theory, group theory and matrix are some common examples of triviality.
