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15
Math.TechQA.Club
2018-11-27 15:19:03
53
Views
$f$ is continuous on $\mathbb R -\{0\}$, but cannot be made into a continuous function by change on a set of measure zero.
Published on
27 Nov 2018 - 15:19
#real-analysis
#proof-verification
#continuity
#lebesgue-measure
#alternative-proof
70
Views
Alternative proof for $ \sum \left(\frac{k-2}{k}\right)^k$ is divergent.
Published on
28 Nov 2018 - 12:11
#real-analysis
#sequences-and-series
#alternative-proof
74
Views
divergence of $\sum_{n=3}^\infty \frac{\sqrt{n}+2}{n-2}$ verification/ alternative method
Published on
29 Nov 2018 - 21:50
#real-analysis
#sequences-and-series
#proof-verification
#alternative-proof
51
Views
If $|c_k| \leq k^2 $ does $\sum \frac{(-2)^k +c_k^3}{3^k }$ converge?
Published on
02 Dec 2018 - 13:28
#real-analysis
#proof-verification
#alternative-proof
295
Views
Prove that $\sum_{n=0}^{\infty}\frac{\Gamma^2(n+1)}{\Gamma(2n+2)}=\frac{2\pi}{3^{3/2}}$
Published on
02 Dec 2018 - 21:29
#sequences-and-series
#special-functions
#alternative-proof
261
Views
"Natural" proof of $P\left(\frac{d}{dx}\right)\bigl(e^{xy}Q(x)\bigr)=Q\left(\frac{d}{dy}\right)\bigl(e^{xy}P(y)\bigr)$.
Published on
25 Mar 2026 - 1:29
#ordinary-differential-equations
#polynomials
#exponential-function
#alternative-proof
#differential-operators
333
Views
Prove $\int_0^1\frac{\log(t^2-t+1)}{t^2-t}\mathrm dt=\frac{\pi^2}9$
Published on
03 Dec 2018 - 17:29
#integration
#sequences-and-series
#alternative-proof
100
Views
What's the better proof for $|a| - |b|$ $\leq$ $|a - b|$
Published on
26 Mar 2026 - 4:51
#proof-verification
#inequality
#absolute-value
#alternative-proof
84
Views
closed form for $\sum_{n\geq1}\pi n\log\frac{4n+1}{4n-1}\prod_{k\geq1\\k\neq n}\frac{k^2}{k^2-n^2}$?
Published on
25 Mar 2026 - 23:58
#integration
#closed-form
#alternative-proof
69
Views
Alternative ways to determine the centre of $GL_n(K)$
Published on
05 Dec 2018 - 12:27
#linear-algebra
#abstract-algebra
#alternative-proof
487
Views
Is there a clever way to find the units of the quotient ring $\mathbb{Z}_6[x]/\langle x^2+2x\rangle$?
Published on
05 Dec 2018 - 19:50
#abstract-algebra
#polynomials
#ring-theory
#alternative-proof
759
Views
Invertible linear operator with diagonalizable power is diagonalizable
Published on
26 Mar 2026 - 9:39
#linear-algebra
#proof-verification
#alternative-proof
#diagonalization
167
Views
Shortest way to find the centralizer and normalizer of $A=\{1,s,r^2,sr^2\}\subseteq D_8$?
Published on
26 Mar 2026 - 4:36
#group-theory
#alternative-proof
#group-actions
71
Views
Let $A$ be $10 \times 10$ real matrix. then which of the following is correct?
Published on
09 Dec 2018 - 5:44
#real-analysis
#sequences-and-series
#limits
#alternative-proof
37
Views
Check if $\sup\left\{\int_J|f(x)|\chi_B(x)\, dx:\lambda(B)\le1/k\right\}\to 0$
Published on
09 Dec 2018 - 7:52
#analysis
#measure-theory
#proof-verification
#lebesgue-integral
#alternative-proof
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