A Youtuber's guide to discrete Morse theory [Nick Scoville]
Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Its applications are vast, including applications to topological data analysis, combinatorics, and computer science. In this lecture, we will develop the main ideas behind discrete Morse theory, i
From playlist Tutorial-a-thon 2021 Spring
Neža Mramor (2/17/21): An application of discrete Morse theory to robot motion planning
Title: An application of discrete Morse theory to robot motion planning Abstract: We will shortly recollect the basics of discrete Morse theory and two of its variants, parametric and fiberwise discrete Morse theory. We will then describe how it can be used to construct a continuous motio
From playlist AATRN 2021
The Two-Dimensional Discrete Fourier Transform
The two-dimensional discrete Fourier transform (DFT) is the natural extension of the one-dimensional DFT and describes two-dimensional signals like images as a weighted sum of two dimensional sinusoids. Two-dimensional sinusoids have a horizontal frequency component and a vertical frequen
From playlist Fourier
Frequency Domain Interpretation of Sampling
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Analysis of the effect of sampling a continuous-time signal in the frequency domain through use of the Fourier transform.
From playlist Sampling and Reconstruction of Signals
Closed loop discrete controller Lecture 2019-04-08
Evaluating the response of a continuous system controlled by a discrete controller using several methods
From playlist Discrete
Henry Adams and Enrique Alvarado: An introduction to Morse theory
We give an introduction to Morse theory. Given a space equipped with a real-valued function, one can use Morse theory to produce a compact cellular model for that space. Furthermore, the cellular model reflects important properties of the function. We describe CW cell complexes, the Morse
From playlist Tutorials
1. Overview: information and entropy
MIT 6.02 Introduction to EECS II: Digital Communication Systems, Fall 2012 View the complete course: http://ocw.mit.edu/6-02F12 Instructor: George Verghese This lecture covers some history of digital communication, with a focus on Samuel Morse and Claude Shannon, measuring information and
From playlist MIT 6.02 Introduction to EECS II: Digital Communication Systems, Fall 2012
Fourier Series: Modeling Nature
An intuitive means of understanding the power of Fourier series in modeling nature, to place Fourier series in a physical context for students being introduced to the material. A non-technical, qualitative exploration into applications of Fourier Series. 0:17 Ancient Greek theory of celes
From playlist Data Science
NOTACON 6: Hacking and Amateur Radio--Consumer Telecommunications is for Noobs
Speaker: Christopher Pilkington The idea of venturing into amateur radio seems ridiculous given the current economic conditions, and given most can already communicate globally using the Internet. The presentation will attempt to dispel some of the misconceptions of amateur radio (or at l
From playlist Notacon 6
This computer science lesson describes how sound is digitally encoded and stored by a computer. It begins with a discussion of the nature of sound in air, namely, a longitudinal wave of compressions and rarefactions. It then explains how sound can be captured by a dynamic microphone, whi
From playlist GCSE Computer Science
Determining Signal Similarities
Get a Free Trial: https://goo.gl/C2Y9A5 Get Pricing Info: https://goo.gl/kDvGHt Ready to Buy: https://goo.gl/vsIeA5 Find a signal of interest within another signal, and align signals by determining the delay between them using Signal Processing Toolbox™. For more on Signal Processing To
From playlist Signal Processing and Communications
Shannon 100 - 28/10/2016 - Robert G. GALLAGER
From playlist Shannon 100
Entropy in Compression - Computerphile
What's the absolute minimum you can compress data to? - Entropy conjures up visions of chemistry and physics, but how does it apply to binary codes and computer science? Professor David Brailsford continues his discussion of compression. Addendum: the formula at 4:40 is the "weighted aver
From playlist Fourier
Arnold Conjecture Over Integers - Shaoyun Bai
Topic: Arnold Conjecture Over Integers Speaker: Shaoyun Bai Affiliation: Stony Brook University Date: January 20, 2023 We show that for any closed symlectic manifold, the number of 1-periodic orbits of any non-degenerate Hamiltonian is bounded from below by a version of total Betti number
From playlist Mathematics
Introduction to number theory lecture 18. Cryptography
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We give a brief introduction to the RSA method, an application of number theory to cryotog
From playlist Introduction to number theory (Berkeley Math 115)
!!Con 2020 - Learning your 爱比西s: Translating Chinese into Morse code! by Franklin Hu
Learning your 爱比西s: Translating Chinese into Morse code! by Franklin Hu How do you translate Chinese into Morse code? In the late 1800s, China was connected to the international telegraph network, and this was the big question! Morse code was originally conceived for transmitting English
From playlist !!Con 2020
Translating Chinese Into Morse Code!
How do you translate Chinese into Morse code? In the late 1800s, China was connected to the international telegraph network, and this was the big question! Morse code was originally conceived for transmitting English, and while it was extended to support other alphabetic languages, this d
From playlist Software Development
Ximena Fernández 7/20/22: Morse theory for group presentations and the persistent fundamental group
Discrete Morse theory is a combinatorial tool to simplify the structure of a given (regular) CW-complex up to homotopy equivalence, in terms of the critical cells of discrete Morse functions. In this talk, I will present a refinement of this theory that guarantees not only a homotopy equiv
From playlist AATRN 2022
Compression codes | Journey into information theory | Computer Science | Khan Academy
What is the limit of compression? Watch the next lesson: https://www.khanacademy.org/computing/computer-science/informationtheory/moderninfotheory/v/testtest?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/compu
From playlist Journey into information theory | Computer Science | Khan Academy