Mathematics
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Pure mathematics exist by themselves; no will produces them, no power can limit them.

They are eternal laws that no man can infringe, and from which it is impossible to escape.

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Score Newest
question
32
Composition of two Riemann integrable functions
Dec 10, 2014
question
29
Can a countable group have uncountably many subgroups?
Oct 13, 2014
question
25
If every absolutely convergent series is convergent then $X$ is Banach
Mar 11, 2016
answer
24
Suppose that $f ' (x)$ exists and $f(x)$ has two roots $x_1$ and $x_2$. Try to prove that:
Nov 25, 2014
question
19
Show that $(R/I)[x]\cong R[x]/I[x]$.
Sep 2, 2016
question
18
Relation between trace and rank for projection matrices
Oct 22, 2014
question
17
Show that every compact metrizable space has a countable basis
Feb 6, 2016
answer
17
Prove that the center of G has order divisible by p
Feb 6, 2017
answer
17
Metric is continuous function
Dec 3, 2015
question
16
Show that an open linear map between normed spaces is surjective.
Jan 17, 2017
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Why do students go for a PhD even when chances of getting academic jobs on its completion are slim?
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What if your advisor does not know anything about your research field?
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What to do if one reviewer asks to delete and another asks to add more details to a proof?
11
Is it wise to select a PhD topic before choosing an advisor?
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Will every PhD student from a reputed institute land a postdoc position?

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