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What is a trivial truth?
A trivial truth is a term used for an implication that is true for all cases, regardless of what implies it.
That is, a statement in the form "If P then Q" is trivially true when Q is always true, regardless of P.
eg.
the statement "If x < -3, then x^2+1 > 0" is trivially true, because no matter the truth outcome of x<-3 (which could be true or false depending on the value of x), x^2+1 will always be greater than zero, as x^2 will always be greater than or equal to zero.
That is, a statement in the form "If P then Q" is trivially true when Q is always true, regardless of P.
eg.
the statement "If x < -3, then x^2+1 > 0" is trivially true, because no matter the truth outcome of x<-3 (which could be true or false depending on the value of x), x^2+1 will always be greater than zero, as x^2 will always be greater than or equal to zero.
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In Proofs
What is trivial subset?
The trivial subsets of a set are those subsets which can be found without knowing the contents of the set. The empty set has one trivial subset: the empty set. Every… nonempty set S has two distinct trivial subsets: S and the empty set. Explanation: This is due to the following two facts which follow from the definition of subset: Fact 1: Every set is a subset of itself. Fact 2: The empty set is subset of every set. The definition of subset says that if every element of A is also a member of B then A is a subset of B. If A is the empty set then every element of A (all 0 of them) are members of B trivially. If A = B then A is a subset of B because each element of A is a member of A trivially. (MORE)
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What are non-trivial factors?
Concerning the integers, non-trivial factors are factors that are not the original integer or 1. For example, the non-trivial factors of 8 are 2 and 4, and the nontrivial fact…ors of 36 are 2, 3, 4, 6, 9, 12, and 18. Prime numbers and 1 do not have any non-trivial factors. Non-trivial may also refer to a proof or theorem which is not obvious or simple to prove. (MORE)
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Use trivial in a sentence?
Easy: Use trivial in a sentence Jokes: Well, that's very trivial of you. (Basically means that very smart)
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In Algebra
What is a non trivial solution in mathematics?
A solution of a set of homogeneous linear equations in which not all the variables have the value zero. RAJMANI SINGH, JAGHATHA, BHATPAR RANI,DEORIA,UP-274702
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In Technology
What is trivial password?
a trivial password is one that is easy to guess and is usually based on the user's name, family, occupation or some other personal characteristic.
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In Board Games
Number of categories in trivial pursuit?
There are 6 categories in Trivial Pursuit. "Original" (Master Game ~ Genus Edition) colors: Blue, Pink, Green, Yellow, Orange, Brown. "Original" categories: Blue: Geography;… Pink: Entertainment; Yellow: History; Brown: Art and Literature; Green: Science and Nature; Orange: Sports and Leisure. (MORE)
