Fourier series | Real analysis | Numerical artefacts
In mathematics, the Gibbs phenomenon, discovered by Henry Wilbraham and rediscovered by J. Willard Gibbs, is the oscillatory behavior of the Fourier series of a piecewise continuously differentiable periodic function around a jump discontinuity. The function's th partial Fourier series (formed by summing its lowest constituent sinusoids) produces large peaks around the jump which overshoot and undershoot the function's actual values. This approximation error approaches a limit of about 9% of the jump as more sinusoids are used, though the infinite Fourier series sum does eventually converge almost everywhere except the point of discontinuity. The Gibbs phenomenon was observed by experimental physicists, but was believed to be due to imperfections in the measuring apparatus, and it is one cause of ringing artifacts in signal processing. (Wikipedia).
Quantum Theory - Full Documentary HD
Check: https://youtu.be/Hs_chZSNL9I The World of Quantum - Full Documentary HD http://www.advexon.com For more Scientific DOCUMENTARIES. Subscribe for more Videos... Quantum mechanics (QM -- also known as quantum physics, or quantum theory) is a branch of physics which deals with physica
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The Universe Exists Because of Identical Particles.
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Teach Astronomy - Doppler Effect
http://www.teachastronomy.com/ The Doppler Effect is the shift of wavelength or frequency of a source of waves due to the motion of that source of waves. Doppler Effect is most familiar in terms of sound waves. As a source of sound, such as a siren, approaches you, the pitch or frequency
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Explaining the Doppler effect. Worked problems.
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This video will describe how to compute the Fourier Series in Python and Gibbs Phenomena that appear for discontinuous functions. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science and Engineering:
From playlist Data-Driven Science and Engineering
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This video will describe how to compute the Fourier Series in Matlab and Gibbs Phenomena that appear for discontinuous functions. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science and Engineering:
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https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
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We show that, under the assumption of shift-invariance, the Glauber-invariant states on a Cayley tree are exactly the Gibbs states. Moreover, any shift-invariant state weakly converges to the set of Gibbs states over time. This is achieved by developing an 'extrinsic' approach to free ener
From playlist Northeastern Probability Seminar 2020
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From playlist MIT 18.085 Computational Science & Engineering I, Fall 2007
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