Recent content by guysensei1

I would think that they would be flourine and perhaps the alkali metals. Certainly most people would agree with fluorine?

I don't think there's a closed form expression for that.

Not terribly hard but something I've found interesting \int_{0}^{1}\sin (\ln(x)) dx

Found this on wikipedia: http://en.wikipedia.org/wiki/Sophomore's_dream

My graphing calculator managed to calculate the integral to 10 decimal places, and I calculated the summation to x=20 using the graphing calculator as well (to 10 DP). And they're the same. I recently just learned Riemann sums in school and I don't fully understand why the 2 are equal...

Why is this true (at least, according to my calculator)? Is there something obvious that I've missed? \int_{0}^{1}\frac{1}{x^x}dx=\sum_{x=1}^{\infty }\frac{1}{x^x}

This equation (when equated to 0) does not have √2+√3+√5 as a root. I think there's a mistake, but I can't find it.

Gah, I should have said that all the coefficients must be integers, and P(x)=0 is not allowed. :P

Given some algebraic number, let's say, √2+√3+√5, or 2^(1/3)+√2, is there some way to find the polynomial that will give 0 when that number is substituted in? I know that there are methods to find the polynomial for some of the simpler numbers like √2+√3, but I have no clue where to begin for...

What I was looking for is a function that gives itself when the length of curve function is applied.

A function f(x) where f(x)=length of the graph curve/line from 0 to x Can this function be expressed in algebraic form or some other form? Does it have a name?

Hmm... What would happen if you feed electrons into a particle accelerator and collided them in that case?

Wiki says that the thorium atom is bonded to 15 hydrogens? How does this even work? Any diagrams on the molecular structure?

Probably white from the heat.

They feel hot because metals conduct heat really well, so even though other stuff is at the same temperature, the metal feels hotter because heat flows into your hand faster.