Math 131 092816 Continuity; Continuity and Compactness
Review definition of limit. Definition of continuity at a point; remark about isolated points; connection with limits. Composition of continuous functions. Alternate characterization of continuous functions (topological definition). Continuity and compactness: continuous image of a com
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
The Limit Definition of Continuity - Making Sense of the Definition
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! The Limit Definition of Continuity - Making Sense of the Definition. In this video, I just try to shed some light on the limit definition of continuity and hop
From playlist Limits
Math 101 Introduction to Analysis 120415: Compactness and Continuity
Compactness and Continuity: recall continuous image of compact set is compact; alternate (third) proof of extreme value theorem; motivation for uniform continuity; definition of uniform continuity; continuous on a compact set implies uniformly continuous
From playlist Course 6: Introduction to Analysis
Math 131 Fall 2018 101018 Continuity and Compactness
Definition: bounded function. Continuous image of compact set is compact. Continuous image in Euclidean space of compact set is bounded. Extreme Value Theorem. Continuous bijection on compact set has continuous inverse. Definition of uniform continuity. Continuous on compact set impl
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
Uniform Continuity and Compactness
Uniform Continuity and Compactness In this video, I show a super nice property of uniform continuity: Namely any continuous function on [a,b] is *automatically* uniformly continuous. This test definitely saves us lots of time, enjoy! Here is a proof that's valid for general metric spaces
From playlist Limits and Continuity
Math 101 Introduction to Analysis 110415: Continuity (two versions)
Continuity: definition of (actually sequential continuity); examples; standard definition involving neighborhoods; examples.
From playlist Course 6: Introduction to Analysis
Definition of Continuity in Calculus Explanation and Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of Continuity in Calculus Explanation and Examples. - Definition of continuity at a point. - Explanation of the definition. - Examples of functions where the definition fails.
From playlist Calculus 1 Exam 1 Playlist
Math 131 Fall 2018 100818 Limits and Continuity in Metric Spaces
Limits of functions (in the setting of metric spaces). Definition. Rephrasal of definition. Uniqueness of limit. Definition of continuity at a point. Remark on continuity at an isolated point. Relation with limits. Composition of continuous functions is continuous. Alternate (topol
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
We know that God exists because math is consistent and we know... - Kojman
Menachem Kojman Ben Gurion University of the Negev; Member, School of Mathemtics April 6, 2011 MATHEMATICAL CONVERSATIONS "We know that God exists because mathematics is consistent and we know that the devil exists because we cannot prove the consistency." -- Andre Weil For more videos,
From playlist Mathematics
Improved Consistency Regularization for GANs
This video explores a new technique for using the same Consistency Regularization headlining advances in Unsupervised Learning such as FixMatch and SimCLR to the GAN framework! This achieves large improvements in FID scores generating ImageNet images! Paper Links: Improved Consistency Reg
From playlist Generative Adversarial Networks
Constraint Satisfaction Problems (CSPs) 5 - Arc Consistency | Stanford CS221: AI (Autumn 2021)
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021
Lec 19 | MIT 6.033 Computer System Engineering, Spring 2005
Transactions and Consistency View the complete course at: http://ocw.mit.edu/6-033S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.033 Computer System Engineering, Spring 2005
Uncertainty Estimation via (Multi) Calibration
A Google TechTalk, presented by Aaron Roth, 2020/10/02 Paper Title: "Moment Multi-calibration and Uncertainty Estimation" ABSTRACT: We show how to achieve multi-calibrated estimators not just for means, but also for variances and other higher moments. Informally, this means that we can fi
From playlist Differential Privacy for ML
Lecture 17: COPS, Causal Consistency
Lecture 17: COPS, Causal Consistency MIT 6.824: Distributed Systems (Spring 2020) https://pdos.csail.mit.edu/6.824/
From playlist MIT 6.824 Distributed Systems (Spring 2020)
Optimization - Lecture 3 - CS50's Introduction to Artificial Intelligence with Python 2020
00:00:00 - Introduction 00:00:15 - Optimization 00:01:20 - Local Search 00:07:24 - Hill Climbing 00:29:43 - Simulated Annealing 00:40:43 - Linear Programming 00:51:03 - Constraint Satisfaction 00:59:17 - Node Consistency 01:03:03 - Arc Consistency 01:16:53 - Backtracking Search This cours
From playlist CS50's Introduction to Artificial Intelligence with Python 2020
a neat fact about uniform continuity
Uniform Continuity and Derivatives In this video, I present a really neat test for uniform continuity, which has to do with derivatives. Check out this video to find out what it is! Uniform Continuity: https://youtu.be/PA0EJHYymLE Mean Value Theorem: https://youtu.be/PloNnv_DWas Continu
From playlist Limits and Continuity