Recent content by harmonic_lens
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Undergrad De moivre's theorem complex number
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...- harmonic_lens
- Post #4
- Forum: Topology and Analysis
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Graduate Calculating Correlations and Sensitivity Coefficients
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...- harmonic_lens
- Post #2
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Help eliminating parameter for harmonic trig combination
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?- harmonic_lens
- Post #5
- Forum: General Math
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Graduate Help eliminating parameter for harmonic trig combination
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...- harmonic_lens
- Post #3
- Forum: General Math
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Graduate Hypothesis of Quantum Entanglement acting up particle/wave duality
haha, your journey is just beginning.- harmonic_lens
- Post #6
- Forum: Quantum Physics
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Graduate Hypothesis of Quantum Entanglement acting up particle/wave duality
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...- harmonic_lens
- Post #2
- Forum: Quantum Physics
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How do I copy and paste equations from the textbook pdf to word
imo stop using word for mathematics and use LyX or LaTeX instead. If you're a coder go for LaTeX. If you want a nice GUI go for LyX.- harmonic_lens
- Post #2
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Undergrad Explanation of Axioms, First Principles, and Assumptions
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...- harmonic_lens
- Post #2
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Help eliminating parameter for harmonic trig combination
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...- harmonic_lens
- Thread
- Combination Harmonic Parameter Trig
- Replies: 5
- Forum: General Math