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Mathematics
Awe Kumar Jha's user avatar
Awe Kumar Jha's user avatar
Awe Kumar Jha's user avatar
Awe Kumar Jha
  • Member for 5 years, 8 months
  • Last seen this week
  • India
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I like pure mathematics, classical Hindustani music, and painting!

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8
Find $P(x,y,z)=x^n+y^n+z^n-\prod\limits_{k=0}^{n-1}(x+\omega_n^ky+\omega_n^{-k}z)$, where $\omega_n$ denotes a primitive $n$th root of unity
Oct 20, 2018
8
Closed form of $\int_0^\pi \frac{\sin(x)}{\sqrt{x^3+x+1}} dx$
Dec 23, 2018
5
Integration of $\int^{1}_{-1} \frac {1}{3} \sinh^{-1} \left( \frac {3\sqrt 3}{2} (1-t^2) \right) dt$
Mar 18, 2019
5
On the integrals $\int_{-1}^0 \sqrt[2n+1]{x-\sqrt[2n+1]x} \mathrm dx$
Apr 1, 2019
4
If $p,q,r$ be lengths of perpendiculars from vertices of triangle $ABC$ on any line, prove $a^2(p-q)(p-r)+b^2(q-r)(q-p)+c^2(r-p)(r-q)=4\Delta^2$
Nov 21, 2018
4
Finding a closed form for coefficients in $x^{3n}=x_0\left(a_nx+b_n+\frac {c_n}{x}\right)$
Apr 6, 2019
3
Deriving $\sqrt2 \approx 1 + \frac13 + \frac1{3 \cdot 4} - \frac1{3 \cdot 4 \cdot34}$
Oct 21, 2018
3
Using Taylor series expansion to solve the equation $\frac{\tanh^{-1}(x)}{\beta} -2x =0$
Mar 16, 2019
3
Please prove $n! > (n/3)^n$ is true, without using mathematical induction
Feb 13, 2019
2
The rth term in $(1+x)^{1/x} = e[1 - \frac {1}{2}x + \frac {11}{24}x^2 - \frac {7}{16}x^3 + ....]$
Oct 22, 2018
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15
Is there a gravitational analogue of a classical Rutherford-atom?
8
What is the difference between Yajna and Havana?
8
What is the meaning of Tri-sapta in Atharva-veda?
8
Can Le Chatelier's principle be derived?
5
Is a hydrogen molecule smaller than hydrogen atom?