In this video, I provide some intuition behind the concept of convolution, and show how the convolution of two functions is really the continuous analog of polynomial multiplication. Enjoy!
From playlist Real Analysis
Proof of the Convolution Theorem
Proof of the Convolution Theorem, The Laplace Transform of a convolution is the product of the Laplace Transforms, changing order of the double integral, proving the convolution theorem, www.blackpenredpen.com
From playlist Convolution & Laplace Transform (Nagle Sect7.7)
11_6_1 Contours and Tangents to Contours Part 1
A contour is simply the intersection of the curve of a function and a plane or hyperplane at a specific level. The gradient of the original function is a vector perpendicular to the tangent of the contour at a point on the contour.
From playlist Advanced Calculus / Multivariable Calculus
Convolution Theorem: Fourier Transforms
Free ebook https://bookboon.com/en/partial-differential-equations-ebook Statement and proof of the convolution theorem for Fourier transforms. Such ideas are very important in the solution of partial differential equations.
From playlist Partial differential equations
Differential Equations | Convolution: Definition and Examples
We give a definition as well as a few examples of the convolution of two functions. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Differential Equations
Concavity and Parametric Equations Example
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Concavity and Parametric Equations Example. We find the open t-intervals on which the graph of the parametric equations is concave upward and concave downward.
From playlist Calculus
Discrete convolutions, from probability, to image processing and FFTs. Help fund future projects: https://www.patreon.com/3blue1brown Special thanks to these supporters: https://3b1b.co/lessons/convolutions#thanks An equally valuable form of support is to simply share the videos. --------
From playlist Prob and Stats
Math 139 Fourier Analysis Lecture 05: Convolutions and Approximation of the Identity
Convolutions and Good Kernels. Definition of convolution. Convolution with the n-th Dirichlet kernel yields the n-th partial sum of the Fourier series. Basic properties of convolution; continuity of the convolution of integrable functions.
From playlist Course 8: Fourier Analysis
The Convolution of Two Functions | Definition & Properties
We can add two functions or multiply two functions pointwise. However, the convolution is a new operation on functions, a new way to take two functions and combine them. In this video we define the convolution of two functions, state and prove several of its nice algebraic properties, and
From playlist Fourier
Nexus Trimester - Prakash Ishwar (Boston University)
On the Ultimate Limit of Two-Terminal Interactive Computing Prakash Ishwar (Boston University) February 11, 2016 Abstract: We approach two-terminal interactive computing via distributed source coding in information theory. We characterize the minimum rate (bits per sample) for asymptotica
From playlist Nexus Trimester - 2016 - Distributed Computation and Communication Theme
Convolution In this video, I introduce the notion of convolution and give an example and some applications. It is a very way of multiplying two functions that is useful analysis and PDEs. Here is the demo I showed: https://phiresky.github.io/convolution-demo/ Convolution Intuition: http
From playlist Partial Differential Equations