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MonkeyKing
  • Member for 7 years, 4 months
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18 votes
1 answer
590 views

Is it a good approach to heavily depend on visualization to learn math?

10 votes
3 answers
328 views

Sum of digits of $11\dots 11^2$ where $11\dots 11$ is a 1992 digit number with all digits $1$ [duplicate]

5 votes
3 answers
250 views

Is it in general true that a space is not homeomorphic to the punctured version of this space?

4 votes
2 answers
165 views

How to prove that $\frac{1}{2\pi}\int^{2\pi}_0 e^{\cos \theta}\,d\theta = \sum\limits^\infty_{n=0}\frac{1}{(n!2^n)^2}$

4 votes
1 answer
183 views

Circular definition?

3 votes
1 answer
61 views

Let $f(\lambda) =\lambda^4 - 4\lambda^2 + 2 \in \mathbb{Q}[\lambda]$, let $E$ be the splitting field, find $E$ and $[E : \mathbb{Q}]$

3 votes
2 answers
42 views

Fundamental theorem of calculus related problem

3 votes
1 answer
169 views

What does the notation $\mathbf{R}^\mathbf{R}$ mean?

3 votes
1 answer
133 views

Construct an analytic function which has simple zeros at all $m+in$

2 votes
2 answers
59 views

Product topology on uncountably index sets

2 votes
2 answers
39 views

Integrate integrals where $x$ is on the bound

2 votes
0 answers
126 views

Convergence of harmonic functions

2 votes
1 answer
876 views

Bounded holomorphic function in unit disk

2 votes
1 answer
1k views

If $f$ and $g$ are both uniformly continuous, show that $\max(f, g)$ is uniformly continuous

2 votes
1 answer
51 views

Prove $\Bbb C^2 \setminus \{0\}/\Bbb C^*$ is homeomorphic to $(\Bbb C^2 \setminus \{0\})/_{\sim f}$, where $f=\frac{qi\bar{q}}{|q|^2}$, $q$ quaternion

2 votes
1 answer
38 views

How can I prove this Bessel function relation

2 votes
1 answer
59 views

Please help me with proving a subgroup is normal

2 votes
1 answer
54 views

Trying to prove $f'$ has no zero for a 2-to-1 function $f$

2 votes
1 answer
82 views

Rules of natural deduction

2 votes
2 answers
243 views

Using Cauchy's formula to evaluate integral over a small circle

2 votes
0 answers
539 views

Determine if a surface exists with given First and Second Fundamental Form coefficients

2 votes
1 answer
51 views

If both $f$ and $\hat{f}$ are in $L^1(\mathbb{R})$, then they are both in $L^2(\mathbb{R})$.

2 votes
2 answers
78 views

Integration by part with substitution

2 votes
0 answers
454 views

Generating Chebyshev polynomials by Gram-Schmidt

2 votes
1 answer
178 views

Do we need linearity to show that compact operators are bounded?

1 vote
0 answers
1k views

Integrate over vertical line

1 vote
1 answer
33 views

For any compact $K \subset G$ open, how to show that there exist $R > 0$ s.t. $B(a;R) \subset G$ for all $a\in K$?

1 vote
1 answer
56 views

Why did mathematicians name a functional that assigns number to function as a "distribution"?

1 vote
2 answers
412 views

Automorphism of $\Bbb Q[x]$

1 vote
0 answers
401 views

A PDE question using variation of parameters