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Lecture 1: Introduction to Superposition
1:16:07
YouTubeMIT OpenCourseWare
Lecture 1: Introduction to Superposition
MIT 8.04 Quantum Physics I, Spring 2013 View the complete course: http://ocw.mit.edu/8-04S13 Instructor: Allan Adams In this lecture, Prof. Adams discusses a series of thought experiments involving "box apparatus" to illustrate the concepts of uncertainty and superposition, which are central to quantum mechanics. The first ten minutes are ...
8.5M viewsJun 18, 2014
Fourier Series Animation
24K views · 185 reactions | From Circles to Squares - This animation shows how a Fourier series builds a square wave. Starting smooth and wavy, each added harmonic sharpens the shape until it forms the classic square wave. | The Brain Maze | Facebook
24K views · 185 reactions | From Circles to Squares - This animation shows how a Fourier series builds a square wave. Starting smooth and wavy, each added harmonic sharpens the shape until it forms the classic square wave. | The Brain Maze | Facebook
FacebookThe Brain Maze
11.4K views1 week ago
Fourier series allow us to approximate complex periodic functions, like the square wave, by summing simple sine waves. As more terms (harmonics) are added to the series, the approximation becomes increasingly accurate. The square wave, which has sharp transitions, can be closely mimicked by combining enough sine waves with carefully chosen frequencies and amplitudes. This process beautifully demonstrates how smooth functions can build up sharp, structured patterns. 📌Support us - Like/Share/Foll
Fourier series allow us to approximate complex periodic functions, like the square wave, by summing simple sine waves. As more terms (harmonics) are added to the series, the approximation becomes increasingly accurate. The square wave, which has sharp transitions, can be closely mimicked by combining enough sine waves with carefully chosen frequencies and amplitudes. This process beautifully demonstrates how smooth functions can build up sharp, structured patterns. 📌Support us - Like/Share/Foll
FacebookMath-Magazine
12.1K views1 month ago
Fourier epicycles are a fascinating way of visualizing Fourier series, which express complex periodic shapes as sums of simple circular motions. Imagine tracing a point on the rim of a small circle that itself rotates around another circle, which rotates around yet another, and so on. Each circle represents a sine or cosine term with a specific frequency, amplitude, and phase. By combining many of these rotating circles, we can recreate intricate paths and curves, even those that look nothing li
Fourier epicycles are a fascinating way of visualizing Fourier series, which express complex periodic shapes as sums of simple circular motions. Imagine tracing a point on the rim of a small circle that itself rotates around another circle, which rotates around yet another, and so on. Each circle represents a sine or cosine term with a specific frequency, amplitude, and phase. By combining many of these rotating circles, we can recreate intricate paths and curves, even those that look nothing li
FacebookMathswithmuza
159.3K views2 months ago
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