Integral transforms | Fourier analysis

Sine and cosine transforms

In mathematics, the Fourier sine and cosine transforms are forms of the Fourier transform that do not use complex numbers or require negative frequency. They are the forms originally used by Joseph Fourier and are still preferred in some applications, such as signal processing or statistics. (Wikipedia).

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Fourier Transform

What is a Fourier Transform and how does it relate to the Fourier Series? In this video, we discuss the idea of the Fourier Cosine Transform.

From playlist Mathematical Physics II Uploads

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More Fourier Transforms

In this video, we extend the idea of Fourier Transforms to odd functions, and generalize the Fourier Series and Fourier Transform to include a sum over complex exponentials - the Complex Fourier Series and Complex Fourier Transform.

From playlist Mathematical Physics II Uploads

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The Phase Shift of the Sine and Cosine Functions

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Phase Shift of the Sine and Cosine Functions

From playlist Trigonometry

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The Derivative of Sine and Cosine

This video introduces the derivative of the sine and cosine functions. It also provides several examples of determining the derivative of functions containing sine and cosine. http://mathispower4u.wordpress.com/

From playlist Differentiation

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Integral sin(x)cos(cos(x)) with u-substitution

Integral sin(x)cos(cos(x)) with u-substitution

From playlist Calculus 1

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Complex Sinusoids Review

Basic decomposition of a complex sinusoid into a real part consisting of a cosine and an imaginary part consisting of a sine. http://AllSignalProcessing.com for free e-book on frequency in signal processing and much more.

From playlist Background Material

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Determining the Equation of a Sine and Cosine Graph

Given a transformed graph of sine or cosine, determine a possible equation. http://mathispower4u.wordpress.com/

From playlist Graphing Transformations of Trigonometric Functions

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Find an Equation for the Sine or Cosine Wave

Watch more videos on http://www.brightstorm.com/math

From playlist Precalculus

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Differential Equations: Laplace Transform of Sines and Cosines

The Laplace transform of sin(at) and cos(at) is typically presented as a particularly unintuitive repetition of integration by parts. Sine and cosine, however, with the aid of Euler's formula, can be rewritten as a scaled sum of imaginary powers of e. Knowing the Laplace transform of e rai

From playlist Differential Equations

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Linear Algebra 1.9 Compositions of Matrix Transformations

My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul

From playlist Linear Algebra

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11: Spectral Analysis Part 1 - Intro to Neural Computation

MIT 9.40 Introduction to Neural Computation, Spring 2018 Instructor: Michale Fee View the complete course: https://ocw.mit.edu/9-40S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61I4aI5T6OaFfRK2gihjiMm Covers complex Fourier series, transforms, discrete Fourier tra

From playlist MIT 9.40 Introduction to Neural Computation, Spring 2018

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Understanding the Inner Workings of the Fourier Transform

In this video, I am going to attempt to explain the inner workings of the Fourier transform. This video is a condensed and combined version of the Fourier Transform series I created in Korean on my Youtube channel. I submitted this video to participate in the #3b1b #SoME1 math contest. Tha

From playlist Summer of Math Exposition Youtube Videos

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The Discrete Fourier Transform: Most Important Algorithm Ever?

Go to https://nordvpn.com/reducible to get the two year plan with an exclusive deal PLUS 1 bonus month free! It’s risk free with NordVPN’s 30 day money back guarantee! The Discrete Fourier Transform (DFT) is one of the most essential algorithms that power modern society. In this video, we

From playlist Fourier

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Precalculus Crash Course: Trigonometry full course

In this course you will learn about precalculus specially focusing on Trigonometry. You will have gentle introduction and deep dive into trigonometry. Enjoy this #precalculus course and leave your feedback. Table of Contents: Introduction to Trigonometry 4.1 -

From playlist PreCalculus

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ME565 Lecture 14: Fourier Transforms

ME565 Lecture 14 Engineering Mathematics at the University of Washington Fourier Transforms Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L14.pdf Course Website: http://faculty.washington.edu/sbrunton/me565/ http://faculty.washington.edu/sbrunton/

From playlist Engineering Mathematics (UW ME564 and ME565)

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How to Graph Cosecant and Secant (Precalculus - Trigonometry 15)

An introduction to the graphs of Secant and Cosecant by using their relationships with Cosine and Sine. Transformations are also explored and explained. Support: https://www.patreon.com/ProfessorLeonard

From playlist Precalculus - College Algebra/Trigonometry

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Coding Math: Episode 49 - Matrix Math Part II

This week we wrap up our discussion of Matrix Math with some real world examples of translating, rotating and scaling using matrices, both in Canvas and straight CSS. Support Coding Math: http://patreon.com/codingmath Source Code: http://github.com/bit101/codingmath http://jsbin.com/zumak

From playlist Episodes

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Trigonometric Integrals Involving Powers of Sine and Cosine - Part 2

This video explains how to integrate powers of sine and cosine. Part 2 of 2 http://mathispower4u.yolasite.com/

From playlist Integration Involving Powers of Trigonometric Functions

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A Musician's Intuition on the Fourier Transform (feat. the Inner Product) | 3b1b SoME1

My entry for the 3Blue1Brown Summer of Musical Exposition competition. In this video I describe one way you could derive the Fourier Transform from scratch using trigonometry, numerical simulations, the majesty of the inner product, and no complex numbers. My hope is that this is a somewha

From playlist Summer of Math Exposition Youtube Videos

Related pages

Cosine | Joseph Fourier | Signal processing | Complex number | Mathematics | Fourier inversion theorem | Statistics | Discrete cosine transform | Fourier transform | Discrete sine transform