Intro to Open Sets (with Examples) | Real Analysis
We introduce open sets in the context of the real numbers, along with examples and nonexamples of open sets. This is an important topic in the topology of the reals. We say a subset U of the reals is open if, for any x in U, there exists a delta-neighborhood of x that is contained in U. We
From playlist Real Analysis
From playlist Stokes' theorem
All About Closed Sets and Closures of Sets (and Clopen Sets) | Real Analysis
We introduced closed sets and clopen sets. We'll visit two definitions of closed sets. First, a set is closed if it is the complement of some open set, and second, a set is closed if it contains all of its limit points. We see examples of sets both closed and open (called "clopen sets") an
From playlist Real Analysis
Orbit of a set in abstract algebra
In this video we start to take a look at the orbit-stabilizer theorem. Our first stop is the orbit of a set. The orbit is created by taking an arbitrary element of a set and acting on that element by all the elements in the set of an an arbitrary group. In this video, we look at a few p
From playlist Abstract algebra
Open and closed sets -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Closed Intervals, Open Intervals, Half Open, Half Closed
00:00 Intro to intervals 00:09 What is a closed interval? 02:03 What is an open interval? 02:49 Half closed / Half open interval 05:58 Writing in interval notation
From playlist Calculus
An Example of a Closed Continuous Function that is Not Open
An Example of a Closed Continuous Function that is Not Open If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Topology
I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla
From playlist Topology
ArrrrCamp 2015 - Opening up to change by Andy Pike
The one constant in software is change. Your code will need to change and adapt over time. We should try to write code that is easy to change in the future. If possible, change without having to edit existing code. This talk is all about the O in SOLID: the Open-Closed principle. I'll expl
From playlist ArrrrCamp 2015
Control Bootcamp: Benefits of Feedback on Cruise Control Example (Part 2)
Here we investigate the benefits of feedback for systems with uncertain dynamics and disturbances, as illustrated on a cruise control example. (Part 2) Code available at: faculty.washington.edu/sbrunton/control_bootcamp_code.zip These lectures follow Chapters 1 & 3 from: Machine learn
From playlist Control Bootcamp
Control Bootcamp: Benefits of Feedback on Cruise Control Example
Here we investigate the benefits of feedback for systems with uncertain dynamics and disturbances, as illustrated on a cruise control example. Code available at: faculty.washington.edu/sbrunton/control_bootcamp_code.zip These lectures follow Chapters 1 & 3 from: Machine learning contr
From playlist Control Bootcamp
Renรฉ Carmona: Mean field games with major and minor players
Abstract: We introduce a new strategy for the solution of Mean Field Games in the presence of major and minor players. This approach is based on a formulation of the fixed point step in spaces of controls. We use it to highlight the differences between open and closed loop problems. We ill
From playlist Probability and Statistics
Physical Modeling Tutorial, Part 5: Vehicle Drive and Control
Learn about vehicle drive and basic control concepts, including how to implement a DC motor drive mechanism, PWM (Pulse Width Modulation) actuation, closed-loop control of the vehicle, and running simulations with imported drive cycle data. - Enter the MATLAB and Simulink Racing Lounge: ht
From playlist Physical Modeling Tutorials
Manual and Automatic PID Tuning Methods | Understanding PID Control, Part 6
The previous video showed three different approaches to developing a mathematical model of your physical system. Now that we have this model, we can use it to tune a PID controller that will work to control the physical system. PID tuning can be thought of in two ways: Adjusting the t
From playlist Understanding PID Control
10 Practical Considerations for Implementing FOC with Simulink, Motor Control, Part 6
Check out the following resources to get started with designing and implementing FOC algorithms. 00:00 ๐๐ป๐๐ฟ๐ผ๐ฑ๐๐ฐ๐๐ถ๐ผ๐ป 01:12 ๐๐ข๐ ๐๐ฟ๐ฐ๐ต๐ถ๐๐ฒ๐ฐ๐๐๐ฟ๐ฒ 03:32 ๐ฆ๐ฒ๐ป๐๐ผ๐ฟ-๐๐ฎ๐๐ฒ๐ฑ ๐๐ข๐ Field-Oriented Control of PMSM Using Quadrature Encoder: https://bit.ly/39a7cnx Field-Oriented Control of PMSM Using Hall Sensor
From playlist Motor Control
Understanding Control Systems, Part 4: Simulating Disturbance Rejection in Simulink
This demonstration uses a car to show how you can simulate open- and closed-loop systems in Simulinkยฎ. Download model: http://bit.ly/2Qau7XO Watch other MATLAB Tech Talks: https://goo.gl/jD0uOH Get a free Product Trial: https://goo.gl/C2Y9A5 First, you will learn how to model and tune ope
From playlist Understanding Control Systems
Macroscopic loops in the Spin O(N), double dimer and related models - Lorenzo Taggi
Probability Seminar Topic: Macroscopic loops in the Spin O(N), double dimer and related models Speaker: Lorenzo Taggi Affiliation: Sapienza Universitร di Roma Date: October 10, 2022 We consider a general system of interacting random loops which includes several models of interest, such a
From playlist Mathematics
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
Reconsidering `functions' in modern mathematics | Arithmetic and Geometry Math Foundations 43
The general notion of `function' does not work in mathematics, just as the general notions of `number' or `sequence' don't work. This video explains the distinction between `closed' and `open' systems, and suggests that mathematical definitions should respect the open aspect of mathemat
From playlist Math Foundations