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We take for granted that 0 times anything equals 0. But why? You might think of counting numbers, but we use 0 for a lot of different systems like naturals, reals, modular arithmetic,...
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Apr 18, 2014 · When learning mathematics, it's useful to prove "obvious" results in addition to "non-obvious" ones because: you "know" they're true before you start, which can save some frustration. the ease or difficulty of proving the obvious teaches you something interesting about the area you're working in.
Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeOutro:"Lateralus" as performed by Sakis StrigasO...
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Jul 30, 2022 · Most kids say it's obvious after they've seem lots of cases - where "lots" means a few with really small odd numbers. The proof isn't hard - once you have good definitions of "even" and "odd". How do you know there are infinitely many primes?
A Theorem is 'obvious' when one does not see an immediate obstruction (for instance a counter-example). Of course it may be true or false, depending on how you are lucky or not. An obvious true theorem whose proof is notoriously difficult is the existence of solutions to linear PDEs $P(i\nabla_x)u=f$ for constant coefficients operators ...
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Apr 26, 2016 · It isn't supposed to just mean "easy" or "obvious". I always thought the word "trivial" was for situations like: a statement about all pairs of points when there only is one point, or a claim that a probability is bounded above by something greater than 1.
