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If the field of a vector space weren't characteristic zero, then what would change in the theory?
Jun 30, 2017
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19
If $A$ and $B$ are positive constants, show that $\frac{A}{x-1} + \frac{B}{x-2}$ has a solution on $(1,2)$
Jul 27, 2016
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11
Topologically, is there a definition of differentiability that is dependent on the underlying topology, similar to continuity?
Aug 13, 2018
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11
How to prove that the both definition of completeness of $\mathbb{R}$ are equivalent?
Oct 9, 2017
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10
True or false: If $f(x)$ is continuous on $[0, 2]$ and $f(0)=f(2)$, then there exists a number $c\in [0, 1]$ such that $f(c) = f(c + 1)$.
Aug 8, 2016
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9
What are the applications of sequence of functions?
Jan 5, 2018
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9
What if the basis not countable, then what?
Oct 1, 2017
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9
In a field why does the multiplicative identity have an additive inverse, whereas the additive identity doesn't have a multiplicative inverse?
Jul 29, 2017
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8
If I want to distribute 50 identical candies to 100 children, what is the expected number of candies a child with at least one candy has?
Sep 29, 2020
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7
A confusion about the second connection axiom of Euclidean Geometry
May 13, 2018
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