Trivial Pursuit Family Edition Questions A trivial theory is such that it has all the sentences as theorems This is possible only if it contains an inconsistency which enables one to derive any sentence at will So why
Of course if you re reading and you see the that the author calls things trivial that don t appear trivial to you you should take this as a lesson for your own mathematical writing TI TI trivial and nontrivial Berry
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begingroup Since the zero solution is the obvious solution hence it is called a trivial solution Any solution which has at least one component non zero thereby making it a non obvious It s trivial We physicists were laughing trying to figure them out We decided that trivial means proved So we joked with the mathematicians We have a new theorem that
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow the largest most trusted online community for begingroup To expand on the comment of Peter the reason for using the word trivial in that context is that it takes a trivial amount of effort to verify that 0 is a
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X X is a trivial answer more in the first part of my definition above In applied mathematics using operations research 0 0 0 will often be a trivial answer because we would The same goes for trivial subgroups trivial topological spaces trivial vector subspaces and so on In each case the word trivial has a well defined meaning and is in no way ambiguous The
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A trivial theory is such that it has all the sentences as theorems This is possible only if it contains an inconsistency which enables one to derive any sentence at will So why
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Of course if you re reading and you see the that the author calls things trivial that don t appear trivial to you you should take this as a lesson for your own mathematical writing
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