- published: 14 Nov 2020
- views: 1865550
Fast Fourier transform
A fast Fourier transform (FFT) algorithm computes the discrete Fourier transform (DFT) of a sequence, or its inverse. Fourier analysis converts a signal from its original domain (often time or space) to a representation in the frequency domain and vice versa. An FFT rapidly computes such transformations by factorizing the DFT matrix into a product of sparse (mostly zero) factors. As a result, it manages to reduce the complexity of computing the DFT from 
, which arises if one simply applies the definition of DFT, to 
, where 
is the data size.
Fast Fourier transforms are widely used for many applications in engineering, science, and mathematics. The basic ideas were popularized in 1965, but some algorithms had been derived as early as 1805. In 1994 Gilbert Strang described the FFT as "the most important numerical algorithm of our lifetime" and it was included in Top 10 Algorithms of 20th Century by the IEEE journal Computing in Science & Engineering.
Overview
There are many different FFT algorithms involving a wide range of mathematics, from simple complex-number arithmetic to group theory and number theory; this article gives an overview of the available techniques and some of their general properties, while the specific algorithms are described in subsidiary articles linked below.
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Fast_Fourier_transform
FFT (disambiguation)
FFT is a fast Fourier transform.
FFT may also refer to:
See also
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/FFT_(disambiguation)
For Those Who Have Heart
For Those Who Have Heart is the second studio album by American rock band A Day to Remember, and their first for Victory. It was released on January 22, 2007 by Victory. For the album, the band had a line-up change swapping drummer Bobby Scruggs for Alex Shelnutt. It charted at number 17 on the Heatseekers Album Chart in the U.S. The music video for "The Plot to Bomb the Panhandle" was released a month later. Several of the album's songs appeared on the band's MySpace profile before the release. Recorded and mixed at Zing Studios by producer Eric Arena, the album was re-released in February 2008, with additional tracks and a bonus DVD. The DVD featured a performance of the band live at The Capitol, in the band's hometown, Ocala, Florida. The music video for "The Danger in Starting a Fire" was released in the same month, and the music video for "Since U Been Gone", which had been streamed on the band's MySpace previously, was released in July. For Those Who Have Heart was generally well received by music critics.
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/For_Those_Who_Have_Heart
Podcasts:
FFT
ALBUMS
- Tainted Candy: A Tribute to 80s New Wave released: 2012
F.F.T
ALBUMS
- Future Frequency Technology released: 2006
-
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 the FFT can be "discovered" through asking the right questions. The key insights that are presented in this video is that polynomial multiplication can be improved significantly by multiplying polynomials in a special value representation. The challenge that presents itself is the problem of converting a polynomial from a standard coefficient representation to value representation. We see that the FFT is an incredibly efficient recursive algorithm that performs this task, and we also discover that a slig...
published: 14 Nov 2020 -
Who's The BEST KID BALLER In FFT! Pt 2
Taylor has challenged kaylan once again to see who gets the crown of the BEST BALLER in FFT, today they will do numerous challenges to prove who is the best. FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/ FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_
published: 28 Apr 2023 -
Understanding the Discrete Fourier Transform and the FFT
The discrete Fourier transform (DFT) transforms discrete time-domain signals into the frequency domain. The most efficient way to compute the DFT is using a fast Fourier transform (FFT) algorithm. This Tech Talk answers a few common questions that are often asked about the DFT and the FFT. It covers an overview of the algorithm where you’ll be walked through an understanding of why you might look at the absolute value of the FFT, how bin width is calculated, and what the difference is between one-sided and two-sided FFTs. Learn more: - How to Do FFT in MATLAB: https://youtu.be/XEbV7WfoOSE - What Is a Fast Fourier Transform? https://bit.ly/47uMTNu - Veritasium: The Remarkable Story Behind the Most Important Algorithm of All Time: https://youtu.be/nmgFG7PUHfo - FFT MATLAB App: https://bit...
published: 29 Nov 2023 -
We Explored An Abandoned Football Gym
Today Taylor and Kaylan are going against eachother in a abandoned football gym FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/ FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_re
published: 03 Mar 2024 -
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 2 from: "Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunton and Kutz Amazon: https://www.amazon.com/Data-Driven-Science-Engineering-Learning-Dynamical/dp/1108422098/ Brunton Website: eigensteve.com This video was produced at the University of Washington
published: 31 Mar 2020 -
FFT in Data Analysis (Fast Fourier Transform)
General overview of what FFT is and how FFT is used in data analysis. Titan S8: https://www.madgetech.com/data-loggers/applications/alternative-energy/solar/titan-s8.html SVR101: https://www.madgetech.com/data-loggers/shock/svr101.html https://www.madgetech.com/ - Music - Artist: Audioinfinity Title: Tutorial Background http://www.hooksounds.com
published: 04 Feb 2019 -
We HOSTED A 1v1 Football Tournament vs The BEST KID Footballers
Taylor wants revenge after loosing two 1 v 1 tournaments in a row, can Taylor porve himself today? FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/ FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_
published: 17 Feb 2024 -
Giving Our Keep $100 For Every Save He Makes!
George goes against FFT in todays episode to secure as much money as he can versus Kaylan and Taylor FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/ FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_ Follow our contestants TikTok's Sebc.24 R7.szn0 erenoffical_11
published: 10 Feb 2024 -
The Remarkable Story Behind The Most Important Algorithm Of All Time
The Fast Fourier Transform is used everywhere but it has a fascinating origin story that could have ended the nuclear arms race. This video is sponsored by 80,000 Hours. Head to http://80000hours.org/veritasium to sign up for their newsletter and get sent a free copy of their in-depth career guide. A huge thank you to Dr. Richard Garwin for taking the time to speak with us. Thanks to Dr. Steve Brunton of the University of Washington for his help with understanding the Fast Fourier Transform. Thanks to Dr. Cliff Thurber of the University of Wisconsin-Madison, Dr. Paul Richards of Columbia University, and Dr. Steven Gibbons of the Norwegian Geotechnical Institute for their expertise. Thanks to Grant Sanderson of 3Blue1Brown for his helpful feedback on the script. His great video on the...
published: 03 Nov 2022 -
We Challenged The KID PULISIC To A Football Battle
Today we a special guest with us, the kid PULISIC Kaylan and Taylor go have given kid PULISIC to prove himself, let's see how he does FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/ FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_re
published: 24 Feb 2024
developed with YouTube
28:23
The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?
- Order: Reorder
- Duration: 28:23
- Uploaded Date: 14 Nov 2020
- views: 1865550
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 s...
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 the FFT can be "discovered" through asking the right questions. The key insights that are presented in this video is that polynomial multiplication can be improved significantly by multiplying polynomials in a special value representation. The challenge that presents itself is the problem of converting a polynomial from a standard coefficient representation to value representation.
We see that the FFT is an incredibly efficient recursive algorithm that performs this task, and we also discover that a slightly tweaked FFT (Inverse FFT) can also solve the reverse problem of interpolation. If this video doesn't blow your mind, I don't know what will.
0:00 Introduction
2:19 Polynomial Multiplication
3:36 Polynomial Representation
6:06 Value Representation Advantages
7:07 Polynomial Multiplication Flowchart
8:04 Polynomial Evaluation
13:49 Which Evaluation Points?
16:30 Why Nth Roots of Unity?
18:28 FFT Implementation
22:47 Interpolation and Inverse FFT
26:49 Recap
Also a subtle mistake that a commenter made me aware of -- at 26:40 instead of replacing w with (1/n * e^{-2 * pi i/ n}), the actual right way to do this is by taking the final output of the IFFT at the end of the recursion and dividing by n.
So the full change is w = e^{-2 pi i / n}
And then somewhere outside the scope of the IFFT function ifft_result = 1/n * IFFT(values)
The treatment of the FFT in this video is inspired by several well known references, mainly Introduction to Algorithms (Cormen et al.) and Algorithms (Papadimitriou et al.).
Support: https://www.patreon.com/reducible
This video wouldn't be possible without the open source manim library created by 3blue1brown: https://github.com/3b1b/manim
Here is link to the repository that contains the code used to generate the animations in this video: https://github.com/nipunramk/Reducible
Elegant proof that the matrix used in the proof that (d + 1) points uniquely define a degree d polynomial is invertible: https://math.stackexchange.com/questions/426932/why-are-vandermonde-matrices-invertible
Music:
Lift Motif by Kevin MacLeod is licensed under a Creative Commons Attribution license (https://creativecommons.org/licenses/...)
Source: http://incompetech.com/music/royalty-...
Artist: http://incompetech.com/
All other music by Aakash Gandhi
SVG Attributions:
Earth: Designed by Flat Icons from www.flaticon.com, CC BY 4.0 https://creativecommons.org/licenses/by/4.0, via Wikimedia Commons
GPS: Icons made by https://www.flaticon.com/authors/pause08 from https://www.flaticon.com/
Wireless Comms: Design inspired by https://svgsilh.com/image/297434.html
https://wn.com/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 the FFT can be "discovered" through asking the right questions. The key insights that are presented in this video is that polynomial multiplication can be improved significantly by multiplying polynomials in a special value representation. The challenge that presents itself is the problem of converting a polynomial from a standard coefficient representation to value representation.
We see that the FFT is an incredibly efficient recursive algorithm that performs this task, and we also discover that a slightly tweaked FFT (Inverse FFT) can also solve the reverse problem of interpolation. If this video doesn't blow your mind, I don't know what will.
0:00 Introduction
2:19 Polynomial Multiplication
3:36 Polynomial Representation
6:06 Value Representation Advantages
7:07 Polynomial Multiplication Flowchart
8:04 Polynomial Evaluation
13:49 Which Evaluation Points?
16:30 Why Nth Roots of Unity?
18:28 FFT Implementation
22:47 Interpolation and Inverse FFT
26:49 Recap
Also a subtle mistake that a commenter made me aware of -- at 26:40 instead of replacing w with (1/n * e^{-2 * pi i/ n}), the actual right way to do this is by taking the final output of the IFFT at the end of the recursion and dividing by n.
So the full change is w = e^{-2 pi i / n}
And then somewhere outside the scope of the IFFT function ifft_result = 1/n * IFFT(values)
The treatment of the FFT in this video is inspired by several well known references, mainly Introduction to Algorithms (Cormen et al.) and Algorithms (Papadimitriou et al.).
Support: https://www.patreon.com/reducible
This video wouldn't be possible without the open source manim library created by 3blue1brown: https://github.com/3b1b/manim
Here is link to the repository that contains the code used to generate the animations in this video: https://github.com/nipunramk/Reducible
Elegant proof that the matrix used in the proof that (d + 1) points uniquely define a degree d polynomial is invertible: https://math.stackexchange.com/questions/426932/why-are-vandermonde-matrices-invertible
Music:
Lift Motif by Kevin MacLeod is licensed under a Creative Commons Attribution license (https://creativecommons.org/licenses/...)
Source: http://incompetech.com/music/royalty-...
Artist: http://incompetech.com/
All other music by Aakash Gandhi
SVG Attributions:
Earth: Designed by Flat Icons from www.flaticon.com, CC BY 4.0 https://creativecommons.org/licenses/by/4.0, via Wikimedia Commons
GPS: Icons made by https://www.flaticon.com/authors/pause08 from https://www.flaticon.com/
Wireless Comms: Design inspired by https://svgsilh.com/image/297434.html
8:21
Who's The BEST KID BALLER In FFT! Pt 2
- Order: Reorder
- Duration: 8:21
- Uploaded Date: 28 Apr 2023
- views: 97526
Taylor has challenged kaylan once again to see who gets the crown of the BEST BALLER in FFT, today they will do numerous challenges to prove who is the best.
F...
Taylor has challenged kaylan once again to see who gets the crown of the BEST BALLER in FFT, today they will do numerous challenges to prove who is the best.
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_
https://wn.com/Who's_The_Best_Kid_Baller_In_Fft_Pt_2
Taylor has challenged kaylan once again to see who gets the crown of the BEST BALLER in FFT, today they will do numerous challenges to prove who is the best.
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_
- published: 28 Apr 2023
- views: 97526
19:20
Understanding the Discrete Fourier Transform and the FFT
- Order: Reorder
- Duration: 19:20
- Uploaded Date: 29 Nov 2023
- views: 172493
The discrete Fourier transform (DFT) transforms discrete time-domain signals into the frequency domain. The most efficient way to compute the DFT is using a fas...
The discrete Fourier transform (DFT) transforms discrete time-domain signals into the frequency domain. The most efficient way to compute the DFT is using a fast Fourier transform (FFT) algorithm.
This Tech Talk answers a few common questions that are often asked about the DFT and the FFT. It covers an overview of the algorithm where you’ll be walked through an understanding of why you might look at the absolute value of the FFT, how bin width is calculated, and what the difference is between one-sided and two-sided FFTs.
Learn more:
- How to Do FFT in MATLAB: https://youtu.be/XEbV7WfoOSE
- What Is a Fast Fourier Transform? https://bit.ly/47uMTNu
- Veritasium: The Remarkable Story Behind the Most Important Algorithm of All Time: https://youtu.be/nmgFG7PUHfo
- FFT MATLAB App: https://bit.ly/FFT-MATLAB-App
--------------------------------------------------------------------------------------------------------
Get a free product trial: https://goo.gl/ZHFb5u
Learn more about MATLAB: https://goo.gl/8QV7ZZ
Learn more about Simulink: https://goo.gl/nqnbLe
See what's new in MATLAB and Simulink: https://goo.gl/pgGtod
© 2023 The MathWorks, Inc. MATLAB and Simulink are registered trademarks of The MathWorks, Inc.
See www.mathworks.com/trademarks for a list of additional trademarks. Other product or brand names may be trademarks or registered trademarks of their respective holders.
https://wn.com/Understanding_The_Discrete_Fourier_Transform_And_The_Fft
The discrete Fourier transform (DFT) transforms discrete time-domain signals into the frequency domain. The most efficient way to compute the DFT is using a fast Fourier transform (FFT) algorithm.
This Tech Talk answers a few common questions that are often asked about the DFT and the FFT. It covers an overview of the algorithm where you’ll be walked through an understanding of why you might look at the absolute value of the FFT, how bin width is calculated, and what the difference is between one-sided and two-sided FFTs.
Learn more:
- How to Do FFT in MATLAB: https://youtu.be/XEbV7WfoOSE
- What Is a Fast Fourier Transform? https://bit.ly/47uMTNu
- Veritasium: The Remarkable Story Behind the Most Important Algorithm of All Time: https://youtu.be/nmgFG7PUHfo
- FFT MATLAB App: https://bit.ly/FFT-MATLAB-App
--------------------------------------------------------------------------------------------------------
Get a free product trial: https://goo.gl/ZHFb5u
Learn more about MATLAB: https://goo.gl/8QV7ZZ
Learn more about Simulink: https://goo.gl/nqnbLe
See what's new in MATLAB and Simulink: https://goo.gl/pgGtod
© 2023 The MathWorks, Inc. MATLAB and Simulink are registered trademarks of The MathWorks, Inc.
See www.mathworks.com/trademarks for a list of additional trademarks. Other product or brand names may be trademarks or registered trademarks of their respective holders.
- published: 29 Nov 2023
- views: 172493
8:06
We Explored An Abandoned Football Gym
- Order: Reorder
- Duration: 8:06
- Uploaded Date: 03 Mar 2024
- views: 11135
Today Taylor and Kaylan are going against eachother in a abandoned football gym
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK ...
Today Taylor and Kaylan are going against eachother in a abandoned football gym
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_re
https://wn.com/We_Explored_An_Abandoned_Football_Gym
Today Taylor and Kaylan are going against eachother in a abandoned football gym
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_re
- published: 03 Mar 2024
- views: 11135
8:46
The Fast Fourier Transform (FFT)
- Order: Reorder
- Duration: 8:46
- Uploaded Date: 31 Mar 2020
- views: 340960
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...
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 2 from:
"Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunton and Kutz
Amazon: https://www.amazon.com/Data-Driven-Science-Engineering-Learning-Dynamical/dp/1108422098/
Brunton Website: eigensteve.com
This video was produced at the University of Washington
https://wn.com/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 2 from:
"Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunton and Kutz
Amazon: https://www.amazon.com/Data-Driven-Science-Engineering-Learning-Dynamical/dp/1108422098/
Brunton Website: eigensteve.com
This video was produced at the University of Washington
- published: 31 Mar 2020
- views: 340960
1:48
FFT in Data Analysis (Fast Fourier Transform)
- Order: Reorder
- Duration: 1:48
- Uploaded Date: 04 Feb 2019
- views: 53261
General overview of what FFT is and how FFT is used in data analysis.
Titan S8:
https://www.madgetech.com/data-loggers/applications/alternative-energy/solar/t...
General overview of what FFT is and how FFT is used in data analysis.
Titan S8:
https://www.madgetech.com/data-loggers/applications/alternative-energy/solar/titan-s8.html
SVR101:
https://www.madgetech.com/data-loggers/shock/svr101.html
https://www.madgetech.com/
- Music -
Artist: Audioinfinity
Title: Tutorial Background
http://www.hooksounds.com
https://wn.com/Fft_In_Data_Analysis_(Fast_Fourier_Transform)
General overview of what FFT is and how FFT is used in data analysis.
Titan S8:
https://www.madgetech.com/data-loggers/applications/alternative-energy/solar/titan-s8.html
SVR101:
https://www.madgetech.com/data-loggers/shock/svr101.html
https://www.madgetech.com/
- Music -
Artist: Audioinfinity
Title: Tutorial Background
http://www.hooksounds.com
- published: 04 Feb 2019
- views: 53261
15:02
We HOSTED A 1v1 Football Tournament vs The BEST KID Footballers
- Order: Reorder
- Duration: 15:02
- Uploaded Date: 17 Feb 2024
- views: 30888
Taylor wants revenge after loosing two 1 v 1 tournaments in a row, can Taylor porve himself today?
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_...
Taylor wants revenge after loosing two 1 v 1 tournaments in a row, can Taylor porve himself today?
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_
https://wn.com/We_Hosted_A_1V1_Football_Tournament_Vs_The_Best_Kid_Footballers
Taylor wants revenge after loosing two 1 v 1 tournaments in a row, can Taylor porve himself today?
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_
- published: 17 Feb 2024
- views: 30888
9:38
Giving Our Keep $100 For Every Save He Makes!
- Order: Reorder
- Duration: 9:38
- Uploaded Date: 10 Feb 2024
- views: 43818
George goes against FFT in todays episode to secure as much money as he can versus Kaylan and Taylor
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftoffici...
George goes against FFT in todays episode to secure as much money as he can versus Kaylan and Taylor
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_
Follow our contestants TikTok's
Sebc.24
R7.szn0
erenoffical_11
https://wn.com/Giving_Our_Keep_100_For_Every_Save_He_Makes
George goes against FFT in todays episode to secure as much money as he can versus Kaylan and Taylor
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_
Follow our contestants TikTok's
Sebc.24
R7.szn0
erenoffical_11
- published: 10 Feb 2024
- views: 43818
26:33
The Remarkable Story Behind The Most Important Algorithm Of All Time
- Order: Reorder
- Duration: 26:33
- Uploaded Date: 03 Nov 2022
- views: 8322450
The Fast Fourier Transform is used everywhere but it has a fascinating origin story that could have ended the nuclear arms race. This video is sponsored by 80,0...
The Fast Fourier Transform is used everywhere but it has a fascinating origin story that could have ended the nuclear arms race. This video is sponsored by 80,000 Hours. Head to http://80000hours.org/veritasium to sign up for their newsletter and get sent a free copy of their in-depth career guide.
A huge thank you to Dr. Richard Garwin for taking the time to speak with us.
Thanks to Dr. Steve Brunton of the University of Washington for his help with understanding the Fast Fourier Transform.
Thanks to Dr. Cliff Thurber of the University of Wisconsin-Madison, Dr. Paul Richards of Columbia University, and Dr. Steven Gibbons of the Norwegian Geotechnical Institute for their expertise.
Thanks to Grant Sanderson of 3Blue1Brown for his helpful feedback on the script. His great video on the Fourier Transform is here - https://youtu.be/spUNpyF58BY
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References:
Kristensen, H.M., Korda, M. (2022). Status of World Nuclear Forces. Federation of American Scientists (FAS). https://ve42.co/Stockpile2022
Barth, K. H. (1998). Science and politics in early nuclear test ban negotiations. Physics Today, 51(3), 34-39. - https://ve42.co/Barth1998
Schmalberger, T. (1991). In pursuit of a nuclear test ban treaty - https://ve42.co/Schmalberger1991
Bowers, D., & Selby, N. D. (2009). Forensic seismology and the comprehensive nuclear-test-ban treaty. Annual Review of Earth and Planetary Sciences, 37, 209-236 - https://ve42.co/Bowers2009
Incorporated Research Institutions for Seismology (IRIS). (2022). How Often Do Earthquakes Occur? https://ve42.co/IRIS2022
Kimball, D. (2022). The Nuclear Testing Tally. Arms Control Association. https://ve42.co/TestTally2022
Kværna, T., & Ringdal, F. (2013). Detection capability of the seismic network of the International Monitoring System for the Comprehensive Nuclear Test Ban Treaty. Bulletin of the Seismological Society of America, 103(2A), 759-772 - https://ve42.co/Kvrna2013
Sykes, L. R., & Evernden, J. F. (1982). The verification of a comprehensive nuclear test ban. Scientific American, 247(4), 47-55 - https://ve42.co/Sykes1982
Peterson, J., & Hutt, C. R. (2014). World-wide standardized seismograph network: a data users guide (p. 82). US Department of the Interior, US Geological Survey. - https://ve42.co/Peterson2014
Richards, P. G., & Kim, W. Y. (2009). Monitoring for nuclear explosions. Scientific American, 300(3), 70-77 - https://ve42.co/Richards2009
Jacobsen, L. L., Fedorova, I., & Lajus, J. (2021). The seismograph as a diplomatic object: The Soviet–American exchange of instruments, 1958–1964. Centaurus, 63(2), 277-295 - https://ve42.co/Jacobsen2021
Schwartz S. I. (1998). The Hidden Costs Of Our Nuclear Arsenal: Overview Of Project Findings. The Brookings Institution - https://ve42.co/Schwartz1998
Ricón, J.L. (2016). The Soviet Union: Military Spending. Nintil - https://ve42.co/Nintil2016
Heideman, M. T., Johnson, D. H., & Burrus, C. S. (1985). Gauss and the history of the fast Fourier transform. Archive for history of exact sciences, 265-277 - https://ve42.co/Heideman1985
Ford, D. (2004). Richard Garwin - Session IV. American Institute of Physics (AIP). - https://ve42.co/Ford2004
Aaserud, F. (1986). Richard Garwin - Session I. American Institute of Physics (AIP). - https://ve42.co/Aaserud1986
Goldstein, A. (1997). James W. Cooley, an oral history. IEEE History Center, Piscataway, NJ, USA - https://ve42.co/Goldstein1997
Cooley, J., Garwin, R., Rader, C., Bogert, B., & Stockham, T. (1969). The 1968 Arden House workshop on fast Fourier transform processing. IEEE Transactions on Audio and Electroacoustics, 17(2), 66-76 - https://ve42.co/Cooley1969
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Special thanks to Patreon supporters:
Louis Lebbos, Elliot MIller, RayJ Johnson, Brian Busbee, Jerome Barakos M.D., Amadeo Bee, TTST, Balkrishna Heroor, Chris LaClair, John H. Austin, Jr., OnlineBookClub.org, Matthew Gonzalez, Eric Sexton, John Kiehl, Diffbot, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Dumky, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Mac Malkawi, Mike Schneider, John Bauer, jim buckmaster, Juan Benet, Sunil Nagaraj, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal
▀▀▀
Written by Derek Muller & Felicity Nelson
Filmed by Derek Muller & Raquel Nuno
Animation by Ivy Tello, Jakub Misiek, Alex Drakoulis, and Fabio Albertelli
Edited by Albert Leung & Derek Muller
Research Assistant: Katie Barnshaw
Additional video/photos supplied by Pond5 and Getty Images
Music from Epidemic Sound
Produced by Derek Muller, Petr Lebedev, and Emily Zhang
https://wn.com/The_Remarkable_Story_Behind_The_Most_Important_Algorithm_Of_All_Time
The Fast Fourier Transform is used everywhere but it has a fascinating origin story that could have ended the nuclear arms race. This video is sponsored by 80,000 Hours. Head to http://80000hours.org/veritasium to sign up for their newsletter and get sent a free copy of their in-depth career guide.
A huge thank you to Dr. Richard Garwin for taking the time to speak with us.
Thanks to Dr. Steve Brunton of the University of Washington for his help with understanding the Fast Fourier Transform.
Thanks to Dr. Cliff Thurber of the University of Wisconsin-Madison, Dr. Paul Richards of Columbia University, and Dr. Steven Gibbons of the Norwegian Geotechnical Institute for their expertise.
Thanks to Grant Sanderson of 3Blue1Brown for his helpful feedback on the script. His great video on the Fourier Transform is here - https://youtu.be/spUNpyF58BY
▀▀▀
References:
Kristensen, H.M., Korda, M. (2022). Status of World Nuclear Forces. Federation of American Scientists (FAS). https://ve42.co/Stockpile2022
Barth, K. H. (1998). Science and politics in early nuclear test ban negotiations. Physics Today, 51(3), 34-39. - https://ve42.co/Barth1998
Schmalberger, T. (1991). In pursuit of a nuclear test ban treaty - https://ve42.co/Schmalberger1991
Bowers, D., & Selby, N. D. (2009). Forensic seismology and the comprehensive nuclear-test-ban treaty. Annual Review of Earth and Planetary Sciences, 37, 209-236 - https://ve42.co/Bowers2009
Incorporated Research Institutions for Seismology (IRIS). (2022). How Often Do Earthquakes Occur? https://ve42.co/IRIS2022
Kimball, D. (2022). The Nuclear Testing Tally. Arms Control Association. https://ve42.co/TestTally2022
Kværna, T., & Ringdal, F. (2013). Detection capability of the seismic network of the International Monitoring System for the Comprehensive Nuclear Test Ban Treaty. Bulletin of the Seismological Society of America, 103(2A), 759-772 - https://ve42.co/Kvrna2013
Sykes, L. R., & Evernden, J. F. (1982). The verification of a comprehensive nuclear test ban. Scientific American, 247(4), 47-55 - https://ve42.co/Sykes1982
Peterson, J., & Hutt, C. R. (2014). World-wide standardized seismograph network: a data users guide (p. 82). US Department of the Interior, US Geological Survey. - https://ve42.co/Peterson2014
Richards, P. G., & Kim, W. Y. (2009). Monitoring for nuclear explosions. Scientific American, 300(3), 70-77 - https://ve42.co/Richards2009
Jacobsen, L. L., Fedorova, I., & Lajus, J. (2021). The seismograph as a diplomatic object: The Soviet–American exchange of instruments, 1958–1964. Centaurus, 63(2), 277-295 - https://ve42.co/Jacobsen2021
Schwartz S. I. (1998). The Hidden Costs Of Our Nuclear Arsenal: Overview Of Project Findings. The Brookings Institution - https://ve42.co/Schwartz1998
Ricón, J.L. (2016). The Soviet Union: Military Spending. Nintil - https://ve42.co/Nintil2016
Heideman, M. T., Johnson, D. H., & Burrus, C. S. (1985). Gauss and the history of the fast Fourier transform. Archive for history of exact sciences, 265-277 - https://ve42.co/Heideman1985
Ford, D. (2004). Richard Garwin - Session IV. American Institute of Physics (AIP). - https://ve42.co/Ford2004
Aaserud, F. (1986). Richard Garwin - Session I. American Institute of Physics (AIP). - https://ve42.co/Aaserud1986
Goldstein, A. (1997). James W. Cooley, an oral history. IEEE History Center, Piscataway, NJ, USA - https://ve42.co/Goldstein1997
Cooley, J., Garwin, R., Rader, C., Bogert, B., & Stockham, T. (1969). The 1968 Arden House workshop on fast Fourier transform processing. IEEE Transactions on Audio and Electroacoustics, 17(2), 66-76 - https://ve42.co/Cooley1969
▀▀▀
Special thanks to Patreon supporters:
Louis Lebbos, Elliot MIller, RayJ Johnson, Brian Busbee, Jerome Barakos M.D., Amadeo Bee, TTST, Balkrishna Heroor, Chris LaClair, John H. Austin, Jr., OnlineBookClub.org, Matthew Gonzalez, Eric Sexton, John Kiehl, Diffbot, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Dumky, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Mac Malkawi, Mike Schneider, John Bauer, jim buckmaster, Juan Benet, Sunil Nagaraj, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal
▀▀▀
Written by Derek Muller & Felicity Nelson
Filmed by Derek Muller & Raquel Nuno
Animation by Ivy Tello, Jakub Misiek, Alex Drakoulis, and Fabio Albertelli
Edited by Albert Leung & Derek Muller
Research Assistant: Katie Barnshaw
Additional video/photos supplied by Pond5 and Getty Images
Music from Epidemic Sound
Produced by Derek Muller, Petr Lebedev, and Emily Zhang
- published: 03 Nov 2022
- views: 8322450
8:49
We Challenged The KID PULISIC To A Football Battle
- Order: Reorder
- Duration: 8:49
- Uploaded Date: 24 Feb 2024
- views: 19112
Today we a special guest with us, the kid PULISIC
Kaylan and Taylor go have given kid PULISIC to prove himself, let's see how he does
FOLLOW OUR INSTGAGRAM htt...
Today we a special guest with us, the kid PULISIC
Kaylan and Taylor go have given kid PULISIC to prove himself, let's see how he does
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_re
https://wn.com/We_Challenged_The_Kid_Pulisic_To_A_Football_Battle
Today we a special guest with us, the kid PULISIC
Kaylan and Taylor go have given kid PULISIC to prove himself, let's see how he does
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_re
- published: 24 Feb 2024
- views: 19112
28:23
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 Fa...
published: 14 Nov 2020
The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?
The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?
- Report rights infringement
- published: 14 Nov 2020
- views: 1865550
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 the FFT can be "discovered" through asking the right questions. The key insights that are presented in this video is that polynomial multiplication can be improved significantly by multiplying polynomials in a special value representation. The challenge that presents itself is the problem of converting a polynomial from a standard coefficient representation to value representation.
We see that the FFT is an incredibly efficient recursive algorithm that performs this task, and we also discover that a slightly tweaked FFT (Inverse FFT) can also solve the reverse problem of interpolation. If this video doesn't blow your mind, I don't know what will.
0:00 Introduction
2:19 Polynomial Multiplication
3:36 Polynomial Representation
6:06 Value Representation Advantages
7:07 Polynomial Multiplication Flowchart
8:04 Polynomial Evaluation
13:49 Which Evaluation Points?
16:30 Why Nth Roots of Unity?
18:28 FFT Implementation
22:47 Interpolation and Inverse FFT
26:49 Recap
Also a subtle mistake that a commenter made me aware of -- at 26:40 instead of replacing w with (1/n * e^{-2 * pi i/ n}), the actual right way to do this is by taking the final output of the IFFT at the end of the recursion and dividing by n.
So the full change is w = e^{-2 pi i / n}
And then somewhere outside the scope of the IFFT function ifft_result = 1/n * IFFT(values)
The treatment of the FFT in this video is inspired by several well known references, mainly Introduction to Algorithms (Cormen et al.) and Algorithms (Papadimitriou et al.).
Support: https://www.patreon.com/reducible
This video wouldn't be possible without the open source manim library created by 3blue1brown: https://github.com/3b1b/manim
Here is link to the repository that contains the code used to generate the animations in this video: https://github.com/nipunramk/Reducible
Elegant proof that the matrix used in the proof that (d + 1) points uniquely define a degree d polynomial is invertible: https://math.stackexchange.com/questions/426932/why-are-vandermonde-matrices-invertible
Music:
Lift Motif by Kevin MacLeod is licensed under a Creative Commons Attribution license (https://creativecommons.org/licenses/...)
Source: http://incompetech.com/music/royalty-...
Artist: http://incompetech.com/
All other music by Aakash Gandhi
SVG Attributions:
Earth: Designed by Flat Icons from www.flaticon.com, CC BY 4.0 https://creativecommons.org/licenses/by/4.0, via Wikimedia Commons
GPS: Icons made by https://www.flaticon.com/authors/pause08 from https://www.flaticon.com/
Wireless Comms: Design inspired by https://svgsilh.com/image/297434.html
8:21
Who's The BEST KID BALLER In FFT! Pt 2
Taylor has challenged kaylan once again to see who gets the crown of the BEST BALLER in FF...
published: 28 Apr 2023
Who's The BEST KID BALLER In FFT! Pt 2
Who's The BEST KID BALLER In FFT! Pt 2
- Report rights infringement
- published: 28 Apr 2023
- views: 97526
Taylor has challenged kaylan once again to see who gets the crown of the BEST BALLER in FFT, today they will do numerous challenges to prove who is the best.
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_
19:20
Understanding the Discrete Fourier Transform and the FFT
The discrete Fourier transform (DFT) transforms discrete time-domain signals into the freq...
published: 29 Nov 2023
Understanding the Discrete Fourier Transform and the FFT
Understanding the Discrete Fourier Transform and the FFT
- Report rights infringement
- published: 29 Nov 2023
- views: 172493
The discrete Fourier transform (DFT) transforms discrete time-domain signals into the frequency domain. The most efficient way to compute the DFT is using a fast Fourier transform (FFT) algorithm.
This Tech Talk answers a few common questions that are often asked about the DFT and the FFT. It covers an overview of the algorithm where you’ll be walked through an understanding of why you might look at the absolute value of the FFT, how bin width is calculated, and what the difference is between one-sided and two-sided FFTs.
Learn more:
- How to Do FFT in MATLAB: https://youtu.be/XEbV7WfoOSE
- What Is a Fast Fourier Transform? https://bit.ly/47uMTNu
- Veritasium: The Remarkable Story Behind the Most Important Algorithm of All Time: https://youtu.be/nmgFG7PUHfo
- FFT MATLAB App: https://bit.ly/FFT-MATLAB-App
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Get a free product trial: https://goo.gl/ZHFb5u
Learn more about MATLAB: https://goo.gl/8QV7ZZ
Learn more about Simulink: https://goo.gl/nqnbLe
See what's new in MATLAB and Simulink: https://goo.gl/pgGtod
© 2023 The MathWorks, Inc. MATLAB and Simulink are registered trademarks of The MathWorks, Inc.
See www.mathworks.com/trademarks for a list of additional trademarks. Other product or brand names may be trademarks or registered trademarks of their respective holders.
8:06
We Explored An Abandoned Football Gym
Today Taylor and Kaylan are going against eachother in a abandoned football gym
FOLLOW OUR...
published: 03 Mar 2024
We Explored An Abandoned Football Gym
We Explored An Abandoned Football Gym
- Report rights infringement
- published: 03 Mar 2024
- views: 11135
Today Taylor and Kaylan are going against eachother in a abandoned football gym
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_re
8:46
The Fast Fourier Transform (FFT)
Here I introduce the Fast Fourier Transform (FFT), which is how we compute the Fourier Tra...
published: 31 Mar 2020
The Fast Fourier Transform (FFT)
The Fast Fourier Transform (FFT)
- Report rights infringement
- published: 31 Mar 2020
- views: 340960
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 2 from:
"Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunton and Kutz
Amazon: https://www.amazon.com/Data-Driven-Science-Engineering-Learning-Dynamical/dp/1108422098/
Brunton Website: eigensteve.com
This video was produced at the University of Washington
1:48
FFT in Data Analysis (Fast Fourier Transform)
General overview of what FFT is and how FFT is used in data analysis.
Titan S8:
https://...
published: 04 Feb 2019
FFT in Data Analysis (Fast Fourier Transform)
FFT in Data Analysis (Fast Fourier Transform)
- Report rights infringement
- published: 04 Feb 2019
- views: 53261
General overview of what FFT is and how FFT is used in data analysis.
Titan S8:
https://www.madgetech.com/data-loggers/applications/alternative-energy/solar/titan-s8.html
SVR101:
https://www.madgetech.com/data-loggers/shock/svr101.html
https://www.madgetech.com/
- Music -
Artist: Audioinfinity
Title: Tutorial Background
http://www.hooksounds.com
15:02
We HOSTED A 1v1 Football Tournament vs The BEST KID Footballers
Taylor wants revenge after loosing two 1 v 1 tournaments in a row, can Taylor porve himsel...
published: 17 Feb 2024
We HOSTED A 1v1 Football Tournament vs The BEST KID Footballers
We HOSTED A 1v1 Football Tournament vs The BEST KID Footballers
- Report rights infringement
- published: 17 Feb 2024
- views: 30888
Taylor wants revenge after loosing two 1 v 1 tournaments in a row, can Taylor porve himself today?
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_
9:38
Giving Our Keep $100 For Every Save He Makes!
George goes against FFT in todays episode to secure as much money as he can versus Kaylan ...
published: 10 Feb 2024
Giving Our Keep $100 For Every Save He Makes!
Giving Our Keep $100 For Every Save He Makes!
- Report rights infringement
- published: 10 Feb 2024
- views: 43818
George goes against FFT in todays episode to secure as much money as he can versus Kaylan and Taylor
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_
Follow our contestants TikTok's
Sebc.24
R7.szn0
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26:33
The Remarkable Story Behind The Most Important Algorithm Of All Time
The Fast Fourier Transform is used everywhere but it has a fascinating origin story that c...
published: 03 Nov 2022
The Remarkable Story Behind The Most Important Algorithm Of All Time
The Remarkable Story Behind The Most Important Algorithm Of All Time
- Report rights infringement
- published: 03 Nov 2022
- views: 8322450
The Fast Fourier Transform is used everywhere but it has a fascinating origin story that could have ended the nuclear arms race. This video is sponsored by 80,000 Hours. Head to http://80000hours.org/veritasium to sign up for their newsletter and get sent a free copy of their in-depth career guide.
A huge thank you to Dr. Richard Garwin for taking the time to speak with us.
Thanks to Dr. Steve Brunton of the University of Washington for his help with understanding the Fast Fourier Transform.
Thanks to Dr. Cliff Thurber of the University of Wisconsin-Madison, Dr. Paul Richards of Columbia University, and Dr. Steven Gibbons of the Norwegian Geotechnical Institute for their expertise.
Thanks to Grant Sanderson of 3Blue1Brown for his helpful feedback on the script. His great video on the Fourier Transform is here - https://youtu.be/spUNpyF58BY
▀▀▀
References:
Kristensen, H.M., Korda, M. (2022). Status of World Nuclear Forces. Federation of American Scientists (FAS). https://ve42.co/Stockpile2022
Barth, K. H. (1998). Science and politics in early nuclear test ban negotiations. Physics Today, 51(3), 34-39. - https://ve42.co/Barth1998
Schmalberger, T. (1991). In pursuit of a nuclear test ban treaty - https://ve42.co/Schmalberger1991
Bowers, D., & Selby, N. D. (2009). Forensic seismology and the comprehensive nuclear-test-ban treaty. Annual Review of Earth and Planetary Sciences, 37, 209-236 - https://ve42.co/Bowers2009
Incorporated Research Institutions for Seismology (IRIS). (2022). How Often Do Earthquakes Occur? https://ve42.co/IRIS2022
Kimball, D. (2022). The Nuclear Testing Tally. Arms Control Association. https://ve42.co/TestTally2022
Kværna, T., & Ringdal, F. (2013). Detection capability of the seismic network of the International Monitoring System for the Comprehensive Nuclear Test Ban Treaty. Bulletin of the Seismological Society of America, 103(2A), 759-772 - https://ve42.co/Kvrna2013
Sykes, L. R., & Evernden, J. F. (1982). The verification of a comprehensive nuclear test ban. Scientific American, 247(4), 47-55 - https://ve42.co/Sykes1982
Peterson, J., & Hutt, C. R. (2014). World-wide standardized seismograph network: a data users guide (p. 82). US Department of the Interior, US Geological Survey. - https://ve42.co/Peterson2014
Richards, P. G., & Kim, W. Y. (2009). Monitoring for nuclear explosions. Scientific American, 300(3), 70-77 - https://ve42.co/Richards2009
Jacobsen, L. L., Fedorova, I., & Lajus, J. (2021). The seismograph as a diplomatic object: The Soviet–American exchange of instruments, 1958–1964. Centaurus, 63(2), 277-295 - https://ve42.co/Jacobsen2021
Schwartz S. I. (1998). The Hidden Costs Of Our Nuclear Arsenal: Overview Of Project Findings. The Brookings Institution - https://ve42.co/Schwartz1998
Ricón, J.L. (2016). The Soviet Union: Military Spending. Nintil - https://ve42.co/Nintil2016
Heideman, M. T., Johnson, D. H., & Burrus, C. S. (1985). Gauss and the history of the fast Fourier transform. Archive for history of exact sciences, 265-277 - https://ve42.co/Heideman1985
Ford, D. (2004). Richard Garwin - Session IV. American Institute of Physics (AIP). - https://ve42.co/Ford2004
Aaserud, F. (1986). Richard Garwin - Session I. American Institute of Physics (AIP). - https://ve42.co/Aaserud1986
Goldstein, A. (1997). James W. Cooley, an oral history. IEEE History Center, Piscataway, NJ, USA - https://ve42.co/Goldstein1997
Cooley, J., Garwin, R., Rader, C., Bogert, B., & Stockham, T. (1969). The 1968 Arden House workshop on fast Fourier transform processing. IEEE Transactions on Audio and Electroacoustics, 17(2), 66-76 - https://ve42.co/Cooley1969
▀▀▀
Special thanks to Patreon supporters:
Louis Lebbos, Elliot MIller, RayJ Johnson, Brian Busbee, Jerome Barakos M.D., Amadeo Bee, TTST, Balkrishna Heroor, Chris LaClair, John H. Austin, Jr., OnlineBookClub.org, Matthew Gonzalez, Eric Sexton, John Kiehl, Diffbot, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Dumky, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Mac Malkawi, Mike Schneider, John Bauer, jim buckmaster, Juan Benet, Sunil Nagaraj, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal
▀▀▀
Written by Derek Muller & Felicity Nelson
Filmed by Derek Muller & Raquel Nuno
Animation by Ivy Tello, Jakub Misiek, Alex Drakoulis, and Fabio Albertelli
Edited by Albert Leung & Derek Muller
Research Assistant: Katie Barnshaw
Additional video/photos supplied by Pond5 and Getty Images
Music from Epidemic Sound
Produced by Derek Muller, Petr Lebedev, and Emily Zhang
8:49
We Challenged The KID PULISIC To A Football Battle
Today we a special guest with us, the kid PULISIC
Kaylan and Taylor go have given kid PULI...
published: 24 Feb 2024
We Challenged The KID PULISIC To A Football Battle
We Challenged The KID PULISIC To A Football Battle
- Report rights infringement
- published: 24 Feb 2024
- views: 19112
Today we a special guest with us, the kid PULISIC
Kaylan and Taylor go have given kid PULISIC to prove himself, let's see how he does
FOLLOW OUR INSTGAGRAM https://www.instagram.com/fftofficial_/
FOLLOW OUR TIKTOK https://www.tiktok.com/@fftofficial_re
Fast Fourier transform
A fast Fourier transform (FFT) algorithm computes the discrete Fourier transform (DFT) of a sequence, or its inverse. Fourier analysis converts a signal from its original domain (often time or space) to a representation in the frequency domain and vice versa. An FFT rapidly computes such transformations by factorizing the DFT matrix into a product of sparse (mostly zero) factors. As a result, it manages to reduce the complexity of computing the DFT from , which arises if one simply applies the definition of DFT, to , where is the data size.
Fast Fourier transforms are widely used for many applications in engineering, science, and mathematics. The basic ideas were popularized in 1965, but some algorithms had been derived as early as 1805. In 1994 Gilbert Strang described the FFT as "the most important numerical algorithm of our lifetime" and it was included in Top 10 Algorithms of 20th Century by the IEEE journal Computing in Science & Engineering.
Overview
There are many different FFT algorithms involving a wide range of mathematics, from simple complex-number arithmetic to group theory and number theory; this article gives an overview of the available techniques and some of their general properties, while the specific algorithms are described in subsidiary articles linked below.
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Fast_Fourier_transform
The Fast Fourier Transform (FFT): Most Ingenious A...
Who's The BEST KID BALLER In FFT! Pt 2...
Understanding the Discrete Fourier Transform and t...
We Explored An Abandoned Football Gym...
The Fast Fourier Transform (FFT)...
FFT in Data Analysis (Fast Fourier Transform)...
We HOSTED A 1v1 Football Tournament vs The BEST KI...
Giving Our Keep $100 For Every Save He Makes!...
The Remarkable Story Behind The Most Important Alg...
We Challenged The KID PULISIC To A Football Battle...
FFT
by: Huntingtonssitting in my room the thoughts
are flying through my head
tast inside my brain is tart
the contract's on my bed
smell the smell of cigar smoke
and i know who it is
ideas are dumb the doors are shut
the messages are his
my buddly al drove off a cliff
and ran into a nail
he licks his wounds and wonders
how the tooth drove him to fail
he hates to park his car
downtown on 16th avenue
sometimes her eyes are green
and other times i think they're blue
my sister is a mother
and my mother is a chore
my brother is a junkie
for the c.o. music boards
i knew this guy who was so lazy
and he was so dumb
he slept all day and lost his job
Latest News for: fft
Edit
Fireflies Invites Business Partners To Multiply Discounts And Growth With FFT Token Payments
(MENAFN - EIN Presswire) At Fireflies, the goal is to make travel more accessible and enjoyable for everyonePFa–FFIKON, SWITZERLAND, May 22, 2024 /EINPresswire / -- Fireflies is leading the way ... .
Edit
Fireflies' FFT Token Revolutionizes The Tourism Industry With Its Unique Crypto Travel Synergy
(MENAFN - EIN Presswire) As more travellers join the FFT Token ecosystem, the community will drive its growth and developmentPFa–FFIKON, SWITZERLAND, May 17, 2024 /EINPresswire / -- Since its ... .
Edit
LACoFD Kicks Off First FFT Listening Seminar of 2024! (Los Angeles County Fire Department)
). The text version of this document is not available ... Disclaimer ... (noodl. 117542006) .
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CNH Honored By Princess Of Thailand At FFT's 44Th National Academic Conference
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Liverpool's Virgil van Dijk tells FFT how he scored Carabao Cup winner on 'beautiful evening' ...
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Arsenal manager Mikel Arteta tells FFT who told him to bring Ethan Nwaneri on at ...
Arsenal manager Mikel Arteta has revealed what really happened to bring Ethan Nwaneri into the game for his second senior appearance ... "There's something that you have to have when you're in a team, and that's the trust of your team-mates," he said.
Edit
EEVblog #1188 - $10 DIY EMC Probe using Scope FFT
Go to the source via the article link to view the video or lcik the video icon ....
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FFT - Why Am I Not $50,000 Dollars Richer, You Might Ask!
Go to the source via the article link to view the video or lcik the video icon ....
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FFT #10 - I Don't CUCK For Anyone!
Go to the source via the article link to view the video or lcik the video icon ....
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"Rights" ,The Constitution & "The 12 Presumptions of Court" - (FFT-WTW PC 2023 - Ep, 2)
Go to the source via the article link to view the video or lcik the video icon ....
Edit
Food for Thought - Worth the Watch - Page Chronicles ... (FFT-WTW - PC 2023 ...
Go to the source via the article link to view the video or lcik the video icon ....
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AI tech for DC arc detection in PV systems
The novel technique is based on the fast Fourier transform (FFT) algorithm and the back-propagation neural network (BPNN) machine learning estimation method. The FFT is an algorithm frequently used to ...
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Fantasy Football Today Early 2024 Season Rankings: Top 12 quarterbacks from the FFT team
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