Whilst messing around with some geometry pertaining to the n-sided regular polygon, I stumbled upon this equation which I could not find anywhere on the internet.
\pi = \lim_{n \to \infty} n \sin \frac{\pi}{n}
But if we take this to be true then, by substitution, this is also true:
\pi =...
In the case of ionic bonding, a non-metal (e.g. fluorine) will gain electrons to ensure that each of it's occupied electron orbitals are full (containing two electrons).
The Pauli Exclusion Principle is the reason more than two electrons cannot occupy the same orbital. This is easy for me to grasp.
Why, then, does the Pauli Exclusion Principle make an orbital MORE stable with two electrons as opposed to one?
(This is in the interest of knowledge. I'm not...
So... I know that decay occurs when the nucleus of an atom has an unstable proton-neutron configuration.
My question is, at the instant that decay occurs, what triggers it? Is it quantum mechanical in nature? If so, why are half lives so consistent?
do you mean that because I am using a calculator that i may as well just go
\pi=
?
I guess youre right.
But since its not used for approximating pi, at least it fueled my mathematic curiosity for 15 mins :P
Maybe it has a use somewhere else... :/
I have found an equation which deals with regular polygons touching circles tangentially with each of their sides.
P=Dn\tan(\frac{180}{n})
where
P is the perimeter of the polygon.
D is the diameter of the circle.
n is the number of sides on the polygon.
i originaly thought it would be...
That was the problem with Newtonian gravity. Mercury's orbit seemed erratic until Einstein came along with general relativity and showed that mercury is so close to the sun that the curvature in space-time caused by the sun made mercury's orbit seem to change.
Gr fixed problems with Newtonian...
My question is about whether or not space exists without matter for it to manipulate.
Does the space inside a regular spaceship contract when there are no particles?
Alternately, imagine a ping-pong ball floating inside the spaceship before it accelerates rapidly. Is the ping-pong ball...