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I am an engineer who is in love with math and lifelong math student. I love to learn new things in mathematics for self-satisfaction. My idols are Gauss , Euler , Ramanujan because they were in love with math as I feel.


Dec
30
reviewed Approve suggested edit on find the following limit: $\lim\limits_{x \to 1} \left(\dfrac{f(x)}{f(1)}\right)^{\frac{1}{\log(x)}}$
Dec
27
reviewed Approve suggested edit on Prove that $\displaystyle\int_0^1{\left\lfloor{1\over x}\right\rfloor}^{-1}dx={1\over2^2}+{1\over3^2}+{1\over4^2}+\cdots.$
Dec
25
reviewed Approve suggested edit on Simplified form for $\frac{\operatorname d^n}{\operatorname dx^n}\left(\frac{x}{e^x-1}\right)$?
Dec
20
revised Number of distinct $f(x_1,x_2,x_3,\ldots,x_n)$ under permutation of the input
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Dec
19
comment Is there a simple explanation why degree 5 polynomials (and up) are unsolvable?
+1 for very simple explanation. If you proof why we cannot find four functions in A, B, C, D, and E which is preserved under permutations of those five letters, That will be great answer for simple explanation. I think Lagrange shew that in his book. Please check in Jim Brown's paper on page 5 .math.caltech.edu/~jimlb/abel.pdf . It is very interesting subject. I also have a question about the permuations. Maybe you can wish to check it.math.stackexchange.com/questions/120692/…
Nov
23
awarded  Good Question
Nov
9
revised Is there any handwavy argument that shows that $\int_{-\infty}^{\infty} e^{-ikx} dk = 2\pi \delta(x)$?
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Nov
9
answered Is there any handwavy argument that shows that $\int_{-\infty}^{\infty} e^{-ikx} dk = 2\pi \delta(x)$?
Oct
20
comment What is the tens digit of $3^{100}$?
The general formula was my dream and there is an answer in my question . Check it please math.stackexchange.com/questions/141919/…
Oct
10
revised To find the closed form of $ f^{-1}(x)$ if $3f(x)=e^{x}+e^{\alpha x}+e^{\alpha^2 x}$
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Oct
8
revised if $f(x) = x-\frac{1}{x}.$ Then no. of solution of the equation $f(f(f(x))) = 1$
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Oct
8
awarded  Organizer
Oct
8
revised if $f(x) = x-\frac{1}{x}.$ Then no. of solution of the equation $f(f(f(x))) = 1$
edited tags
Oct
8
answered if $f(x) = x-\frac{1}{x}.$ Then no. of solution of the equation $f(f(f(x))) = 1$
Oct
7
comment Before Abel's proof, what did they used for trying to find the general solution for quintics?
I recommend you to read Jim Brown's paper "Abel and The Insolvability of the Quintic" for your question. math.caltech.edu/~jimlb/abel.pdf
Oct
6
accepted Euler's infinite product for the sine function and differential equation relation
Oct
3
comment Closed form of $\lim_{n\to\infty}[(\sum_{k=1}^n\frac{1}{n\ln(1+\frac{k^2}{n^2})})-\frac{{n \pi}^2}{6}]$
Thanks about the result but I try to find a result in a closed formed number. I know the result about $1/2-1/36 \approx 0.47$. You can see from my calculations in question.
Oct
3
revised Closed form of $\lim_{n\to\infty}[(\sum_{k=1}^n\frac{1}{n\ln(1+\frac{k^2}{n^2})})-\frac{{n \pi}^2}{6}]$
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Oct
3
revised Closed form of $\lim_{n\to\infty}[(\sum_{k=1}^n\frac{1}{n\ln(1+\frac{k^2}{n^2})})-\frac{{n \pi}^2}{6}]$
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Oct
3
revised Closed form of $\lim_{n\to\infty}[(\sum_{k=1}^n\frac{1}{n\ln(1+\frac{k^2}{n^2})})-\frac{{n \pi}^2}{6}]$
added 875 characters in body