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1d
comment physicist : how should i study maths?
Gerard 'Hooft has a very nice website devoted to just the kind of advice you seem to be looking for, where outlines how to be a good theoretical physicist. And if you decide you want something that requires less intelligence and commitment, he has a second guide for how to be an awful theoretical physicist.
1d
comment 2.71828. And then another 1828.
I vote that this is a coincidence arising from using base 10. If you look at $e$ in other bases, no comparative patterns really jump out.
1d
comment History of infinite series representations of $\sin(x)$ and $\cos(x)$
The the first written record of the series representations of trigonometric functions comes from the Indian mathematician Madhava in the 1300's.
2d
comment Are These Orthonormal Functions?
What's the text/page?
2d
comment Are These Orthonormal Functions?
Are you sure the interval isn't $[-a,a]$?
2d
comment Find Laplace Transform of the following function
The function you have defined is not a step function...
2d
comment How to evaluate the following series
This is called an arithmetico-geometric sequence, and it's certainly been discussed here before.
2d
comment Integration over time by having derivation
You have the ODE $\dot p=\mu p(p-1)$, thus $p=\frac{\dot p}{\mu(p-1)}$.
2d
comment How to find f(x+a)?
Don't forget to change the limits of integration when you make the substitution.
2d
answered verifying log rules via elementary properties of an integral
2d
comment Calculating absolute value and argument of a complex number
There's a much easier way to get the absolute value of this complex number: $|z|^2=zz^*=\frac{1}{(\sqrt3-i)^2}\frac{1}{(\sqrt3+i)^2}=\frac{1}{(3+1)^2}$.
2d
answered Showing there's no potential for a vector field on some region of the space?
2d
comment Use of mathematical induction to compute $\int_0^{\pi/2} \sin^{2n+1}xdx$?
Can you get as far as showing $\int_0^{\pi/2}\sin^{2n+1}xdx =\frac{2n}{2n+1}\int_0^{\pi/2}\sin^{2n-1}xdx$?
2d
answered Solve non-linear ode system as a function of $t$.
2d
comment Solve non-linear ode system as a function of $t$.
The first equation implies $\ddot x=\dot y$. Substitute that into the second equation to obtain an equivalent 2nd order ODE
2d
comment Determine if the following series converges or diverges using the alternating series test.
Do you know what the alternating series test states?
2d
answered Calculating real and imaginary part of a complex number
2d
comment How find the $AP+\frac{1}{2}BP$ minmum value
@DonAntonio I now think the minimum is $\frac{\sqrt7}{2}a$, in case you're still curious.
2d
comment combine $\cos2t+\sqrt{\sin2t}$ a single wave of form $A \cos (wt-\theta)$
Do you mean to have $\cos{2t}+\sqrt{\sin{2t}}$? Because that will result in a complex answer.
2d
comment Determining whether a point with unknown values is positive
Are you also requiring the roots be real?