Mathlover

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 24 answered Find area of rhombus Apr 21 answered Why General Leibniz rule and Newton's Binomial are so similar? Apr 20 comment Compute $\int _{\frac{4}{5}}^2\:f^{-1}\left(x\right)dx$Yes İt could be .Thanks for comment. I just wanted to give a hint how to approach for such problems. Apr 20 answered Compute $\int _{\frac{4}{5}}^2\:f^{-1}\left(x\right)dx$ Apr 20 reviewed Approve suggested edit on $\lim_{x\to\infty}{f(x)}=\lim_{x\to\infty}{g(x)}\Rightarrow\lim_{x\rightarrow\infty}{\frac{f(x)}{2^x}}=\lim_{x\rightarrow\infty}{\frac{g(x)}{2^x}}$? Apr 20 comment Binomial Theorem of Differentiation?You are welcome. Apr 20 comment Binomial Theorem of Differentiation?Yes . It will work you can use that method to prove the multinational but it will has longer terms. You may try to find the coefficients of $e^{xh}e^{yh}e^{zh}=e^{(x+y+z)h}$. Good luck Apr 20 answered Binomial Theorem of Differentiation? 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 planedeleted 5 characters in body 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 18 awarded Popular Question Jan 5 awarded Yearling Jan 5 awarded Yearling