Bruun's algorithm is a fast Fourier transform (FFT) algorithm based on an unusual recursive polynomial-factorization approach, proposed for powers of two by G. Bruun in 1978 and generalized to arbitrary even composite sizes by H. Murakami in 1996. Because its operations involve only real coefficients until the last computation stage, it was initially proposed as a way to efficiently compute the discrete Fourier transform (DFT) of real data. Bruun's algorithm has not seen widespread use, however, as approaches based on the ordinary Cooley–Tukey FFT algorithm have been successfully adapted to real data with at least as much efficiency. Furthermore, there is evidence that Bruun's algorithm may be intrinsically less accurate than Cooley–Tukey in the face of finite numerical precision (Storn, 1993). Nevertheless, Bruun's algorithm illustrates an alternative algorithmic framework that can express both itself and the Cooley–Tukey algorithm, and thus provides an interesting perspective on FFTs that permits mixtures of the two algorithms and other generalizations. (Wikipedia).
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Lagrange multipliers: 2 constraints
Free ebook http://tinyurl.com/EngMathYT A lecture showing how to apply the method of Lagrange multipliers where two contraints are involved.
From playlist Lagrange multipliers
I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.
From playlist Differential Equations
Solve a Bernoulli Differential Equation Initial Value Problem
This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
More periodic oscillations in a modified Brusselator
This is a longer version of the video https://youtu.be/mRcN-4kzGFY , with a different coloring of molecules, to make the oscillations more visible. The Brusselator model was proposed by Ilya Prigogine and his collaborators at the Université Libre de Bruxelles, to describe an oscillating a
From playlist Molecular dynamics
The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?
In this video, we take a look at one of the most beautiful algorithms ever created: the Fast Fourier Transform (FFT). This is a tricky algorithm to understand so we take a look at it in a context that we are all familiar with: polynomial multiplication. You will see how the core ideas of t
From playlist Fourier
Algorithm Archive, let's go! (Day 4)
Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/simuleios
From playlist Algorithm-archive
The Fast Fourier Transform (FFT)
Here I introduce the Fast Fourier Transform (FFT), which is how we compute the Fourier Transform on a computer. The FFT is one of the most important algorithms of all time. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter
From playlist Fourier
Lecture: Discrete Fourier Transform (DFT) and the Fast Fourier Transform (FFT)
This lecture details the algorithm used for constructing the FFT and DFT representations using efficient computation.
From playlist Beginning Scientific Computing
ME565 Lecture 17: Fast Fourier Transforms (FFT) and Audio
ME565 Lecture 17 Engineering Mathematics at the University of Washington Fast Fourier Transforms (FFT) and Audio Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L17.pdf Matlab code: * http://faculty.washington.edu/sbrunton/me565/matlab/EX1_FFT.m * http://faculty.washington.
From playlist Fourier
Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/simuleios
From playlist Misc
Lec 20 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 20: Computation of the discrete Fourier transform, part 3 Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES.6-008 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
Isolating a logarithm and using the power rule to solve
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of the equation, we then get rid of the logarithm. This i
From playlist Solve Logarithmic Equations
Download the free PDF from http://tinyurl.com/EngMathYT This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.
From playlist Lagrange multipliers
Designing and Optimizing MATLAB Algorithms for HDL Code Generation
Through demonstrations, learn about new optimization techniques and workflows in HDL Coder™. - MATLAB | Developer Tech Showcase Playlist: https://www.youtube.com/playlist?list=PLn8PRpmsu08qbAPHntzvCBN3Rw2cs9wqm - Code Generation | Developer Tech Showcase Playlist: https://www.youtube.com
From playlist Tips and Tricks from MATLAB and Simulink Developers
Faster than Fast Fourier Transform (ft. Michael Kapralov)
This video presents a recent breakthrough called the Sparse Fourier Transform (SFT). This algorithm yields an exponential speed-up over the celebrated Fast Fourier Transform (FFT) when asked to extract a small number of dominant Fourier coefficients. The video features Assistant Professor
From playlist Fourier
C45 Example problem solving a Cauchy Euler equation
Solving problems is the ONLY way get to learn these techniques. Another Cauchy-Euler equation solved.
From playlist Differential Equations
Lagrange multipliers: 2 constraints
Download the free PDF http://tinyurl.com/EngMathYT This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
Intuitive Understanding of the Fourier Transform and FFTs
An intuitive introduction to the fourier transform, FFT and how to use them with animations and Python code. Presented at OSCON 2014.
From playlist Fourier
Multivariable Calculus | Lagrange multipliers
We give a description of the method of Lagrange multipliers and provide some examples -- including the arithmetic/geometric mean inequality. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus