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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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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. Trivial ring: a ring defined on a singleton set.
By strictly defined, I mean that if you say "the trivial solution to the ODE $y'=g(x) y$", I know with certainty that you mean the solution $y\equiv 0$. The same goes for trivial subgroups, trivial topological spaces, trivial vector subspaces and so on.
Triviality. 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”.
Mar 14, 2022 · Generally, "trivial" or "trivially true" can be essentially thought of as meaning "obvious at a glance or with little thought in mind", and a "trivial situation" is one of little importance. As noted above though, it depends on context.
Apr 20, 2016 · The calculations behind t-values compare your sample mean(s) to the null hypothesis and incorporates both the sample size and the variability in the data. A t-value of 0 indicates that the sample results exactly equal the null hypothesis.
T-tests are statistical hypothesis tests that you use to analyze one or two sample means. Depending on the t-test that you use, you can compare a sample mean to a hypothesized value, the means of two independent samples, or the difference between paired samples.
