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- Triviality is used to describe a result that needs very less or no effort to prove or derive it. Its synonyms are unimportance, insignificance, in-consequence, etc. Richard Feynman, Nobel Prize winner, stated- “a trivial theorem is a theorem whose proof has been obtained once”.
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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.
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.
Feb 28, 2024 · 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.
- Arpita Srivastava
Examples of triviality. Example 1. Trivial Solution. Consider the formula x + 3 equals x + 3. This equation has a simple solution: x = any real value. This is because subtracting x from both sides of the equation results in 3 = 3, which is always true regardless of x’s value.
Truth Table. What Does Triviality Mean in Maths? In the field of Mathematics, triviality is a characteristic of objects with simple structures. The term "trivial" is applied to easily understood or straightforward concepts or objects, such as topological spaces and groups with simple arrangements.
Thus, surprisingly, a classical theory that appears to describe interacting particles can, when realized as a quantum field theory, become a "trivial" theory of noninteracting free particles. This phenomenon is referred to as quantum triviality.
Argument. A bicycle shed. The concept was first presented as a corollary of his broader "Parkinson's law" spoof of management. He dramatizes this "law of triviality" with the example of a committee's deliberations on an atomic reactor, contrasting it to deliberations on a bicycle shed.
