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For our case with 346 days wave, it may be formed this way: any periodic wave with the period of 346 days is calculated as a sum of sinuses and cosines HARMONICS (or overtones). For 346 days, i.e. 346 days wave, the overtones are 346/2=173 days wave, 346/3=115.3 days wave, 346/4=86.5 days wave, etc. This is the formula:

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In Quantum Mechanics, we understand this wave-particle duality using (complex) probability amplitudes which satisfy a wave equation. The probability to find a particle at a position at some time is the absolute square of the probability amplitude .

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Periodic SQUARE Wave: Complex Exponential Fourier Series The following MATLAB m-files describe how to save (scoeff.m) and load (lcoeff.m) coefficients for complex exponential Fourier series representation associated for a squarewave signal. Pay careful attention to the manner in which the vector "carray" is prepared. An

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Fourier sine series: square wave Math 331, Fall 2017, Lecture 1, (c) Victor Matveev. Fourier series of a constant function f(x)=1 converges to an odd periodic extension of this function, which is a square wave.

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Example (Square Wave) 19 Example (Square Wave) 20 Example (Square Wave) 21 Harmonics T is a period of all the above signals Even Part Odd Part DC Part 22 Harmonics 23 Harmonics 24 Amplitudes and Phase Angles 25 Fourier Series. Complex Form of the Fourier Series; 26 Complex Exponentials 27 Complex Form of the Fourier Series 28 Complex Form of ...

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Fourier transform of the six-term truncation of the Fourier series for the square wave. The Fourier transform is zero except at the six frequency values that contribute to the Fourier series. The Basel Problem: The Basel Problem is a well-known problem in mathematical analysis, concerned with computing a certain value of the Riemann zeta function: