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.

Apr
14
reviewed Approve suggested edit on How can you derive $\sin(x) = \sin(x+2\pi)$ from the Taylor series for $\sin(x)$?
Apr
3
comment Is there a formula for $\sum_{n=0}^{+\infty} q^{n^3}$?
Have you seen my question on the subject? I will be appreciated if you check.math.stackexchange.com/questions/358407/… Thanks
Apr
3
comment To evaluate $\int_0^{+\infty} \frac{\;\mathrm dx}{\sqrt[3]{x^3+a^3}\sqrt[3]{x^3+b^3}\sqrt[3]{x^3+c^3}}$
@Noam D. Elkis I think that you mistyped $x^3 = 1/t$, $dx = -t^{-2/3} dt/3$ . I have updated it as $dx = -t^{-4/3} dt/3$ . Thanks a lot for your great answer.
Apr
3
revised To evaluate $\int_0^{+\infty} \frac{\;\mathrm dx}{\sqrt[3]{x^3+a^3}\sqrt[3]{x^3+b^3}\sqrt[3]{x^3+c^3}}$
I have updated @Noam D. Elkies . Thanks a lot for your answer. I have noticed a mistake after your the change of variables . It should be $dx = -t^{-4/3} dt/3$ . Best Regards
Mar
30
comment Identities for power series like $\sum_n z^{n^3}$
I have been working on that subject. Althought I have not found a nice expression yet, please see my question and my results about it. mathoverflow.net/questions/127327/…
Mar
30
revised Convert a 2D point to 3D on a plane
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Mar
30
answered Convert a 2D point to 3D on a plane
Mar
10
answered Differentiate $\sqrt{1+f(x)^2}/(1+f(x))$
Feb
12
comment General solution to ODE $ y''-Ay^5=0 $
You can use the same way as I showed for other similiar question.math.stackexchange.com/questions/166981/…
Jan
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awarded Popular Question
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awarded Yearling
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Dec
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awarded Constituent
Dec
9
reviewed Approve suggested edit on In ΔABC prove that sides are in $AP$.
Dec
9
revised Generating Function of distinct way of partitioned square sums of positive integers
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Dec
9
comment Generating Function of distinct way of partitioned square sums of positive integers
@VladimirDotsenko : I updated the coefficient of $x^{49}$. Euler is our master and I know the sum formula is not very easy and simple. Maybe There is more than one sum. It is also one reality that if it had a simple sum formula, I am sure that Euler had already found it many years ago. It is just my wonder how relationship has in it.Thanks a lot for comment and coefficients.
Dec
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revised Generating Function of distinct way of partitioned square sums of positive integers
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revised Generating Function of distinct way of partitioned square sums of positive integers
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revised Generating Function of distinct way of partitioned square sums of positive integers
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