Hahaha, this is something Feynman talked about from his childhood. What you've presented is actually a higher-order form of something called http://en.wikipedia.org/wiki/Morrie's_law"]Morrie's[/PLAIN] Law (Feynman's little friend in childhood). From what I've studied, a useful application is in...
It sounds to me like the only way you could make a valuable correlation would be if you ran your experiment again with slightly tweaked input parameter, giving you new outputs A', B', C'. Then I'd calculate mean and SD and whatever else you think is good for the new data, and then see the...
I want to know the actual steps taken to eliminate the parameter. In other words, if all I had were the two initial equations of u and v, and I wanted to make an elliptic equation without t (not knowing the answer), how would I go about doing it?
I apologize, I wrote it down wrong. The most general form of the combination assumes a general ellipse for harmonic waves of differing amplitudes. According to the text, when amplitudes are the same, the general ellipse degenerates into a perfect circle. We can assume the periods are equal...
I think what you are verbalizing is the Heisenberg Uncertainty Principle to a certain extent. Basically, the principle is that when you view an electron, because the light must bounce off of it and then to your eye for it to be observed, the electron interacts with an incoming photon of light...
an axiom is something so intuitive to humans that we just assume proof is unnecessary. this may change over time (e.g. in 1400, the world was flat).
a first principle is something that cannot be derived from any other idea. in philosophy, i would venture to say a good example would be the value...
Hey guys, I'm reading the Theory of Sound and I've come to a part in which I'm having trouble double-checking the algebra.
Suppose we have two harmonic sound waves of equal amplitude traveling directly perpendicular to each other.
\begin{align} u=acos(2πnt-ε) && v=bcos(2πnt) \end{align}
They...