從神的領域看世界: (科普)傅立葉變換DFT

Introduces the concept, application and discrete Fourier transform algorithm of Fourier Transform. Buy me a drink☕ https://www.buymeacoffee.com/haskasu Fan page:   / haska.gamelet   Fourier Transform App: https://fourier-transform.gamelet.onl... Orthogonality of the system of trigonometric functions: https://zhuanlan.zhihu.com/p/341796771 https://ocw.chu.edu.tw/pluginfile.php... [Haska Publishing] "Game Design x Algorithm/The publisher said to me: Hand over all the secrets!" 》 https://www.tenlong.com.tw/products/9... "Pixi.js allows novices to write good games" https://www.tenlong.com.tw/products/9... 0:00 Introduction 1:00 Applications of Fourier 2:08 The difference between time domain and frequency domain 3:16 Frequency Domain 6:53 The history of Fourier 7:47 Fourier algorithm 11:40 Vector inner product 13:51 Number of frequency dimensions 16:25 Frequency dimension completed 19:05 Frequency Spiral Wave 19:52 Redraw tracing [Channel] Only preaching, not programming    • 只講道理、不寫程式   [Channel] Program Mathematics, a moment of gathering    • 程式數學、相聚一刻   [Channel] Create an App from Scratch, Quietly    • ASMR碼APP   #Fourieranalysis #Fourier transform #discreteFourier #FFT #vector inner product Assets: https://www.vecteezy.com/ https://creazilla.com/ https://mixkit.co/ https://pixabay.com/ https://www.pexels.com/

Drawing lines with puzzles: Anti-aliasing illusion on the screen (Bresenham+Xiaolin Wu)
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Drawing lines with puzzles: Anti-aliasing illusion on the screen (Bresenham+Xiaolin Wu)

Understanding the Discrete Fourier Transform and the FFT
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Understanding the Discrete Fourier Transform and the FFT

【漫士】所以,到底什么是傅里叶变换?
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【漫士】所以,到底什么是傅里叶变换?

一口气了解维度的秘密,高维空间到底存在吗?如何理解高维空间?
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一口气了解维度的秘密,高维空间到底存在吗?如何理解高维空间?

Fourier Transform, Fourier Series, and frequency spectrum
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Fourier Transform, Fourier Series, and frequency spectrum

Something is jamming GPS over Europe. Here's what we found
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Something is jamming GPS over Europe. Here's what we found

【人工智能】AI时代下的数学变革 | 菲尔兹奖得主陶哲轩 | 挂谷问题 | 纳维-斯托克斯方程 | 流体计算机 | AI缺少数学嗅觉 | 形式化证明LEAN | 孪生素数 | 黎曼猜想 | 永恒追问
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【人工智能】AI时代下的数学变革 | 菲尔兹奖得主陶哲轩 | 挂谷问题 | 纳维-斯托克斯方程 | 流体计算机 | AI缺少数学嗅觉 | 形式化证明LEAN | 孪生素数 | 黎曼猜想 | 永恒追问

直觉的力量,欧拉的封神之作,巴塞尔问题
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直觉的力量,欧拉的封神之作,巴塞尔问题

【硬核科普】从零开始认识显卡
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【硬核科普】从零开始认识显卡

Academician Lin Qun |the textbook is too complicated. Only one case is needed to learn calculus|SELF
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Academician Lin Qun |the textbook is too complicated. Only one case is needed to learn calculus|SELF

The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?
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The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?

One Formula That Demystifies 3D Graphics
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One Formula That Demystifies 3D Graphics

But what is the Fourier Transform?  A visual introduction.
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But what is the Fourier Transform? A visual introduction.

2nm 先進製程 Nanosheet 是怎麼從 1947 年點接觸式電晶體演化過來的?【電晶體進化史 1947 - 2025】
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2nm 先進製程 Nanosheet 是怎麼從 1947 年點接觸式電晶體演化過來的?【電晶體進化史 1947 - 2025】

【小岛浪吹】DeepSeek适配华为最新昇腾芯片,韬定律横空出世打破极限,主观分析下中国AI到底处于什么水平
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【小岛浪吹】DeepSeek适配华为最新昇腾芯片,韬定律横空出世打破极限,主观分析下中国AI到底处于什么水平

线性代数可视化讲解 | 1小时彻底搞懂! | 数学不难:线性代数
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线性代数可视化讲解 | 1小时彻底搞懂! | 数学不难:线性代数

【工科生苦傅立葉久矣! 傅立葉變換究極入門 The Ultimate Fourier Transform Primer】
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【工科生苦傅立葉久矣! 傅立葉變換究極入門 The Ultimate Fourier Transform Primer】

【漫士】增长最快的数列是什么?
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【漫士】增长最快的数列是什么?

The Discrete Fourier Transform: Most Important Algorithm Ever?
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The Discrete Fourier Transform: Most Important Algorithm Ever?

从“卷积”、到“图像卷积操作”、再到“卷积神经网络”,“卷积”意义的3次改变
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从“卷积”、到“图像卷积操作”、再到“卷积神经网络”,“卷积”意义的3次改变