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We introduce zero-sum games. We define the payoff matrix. We then give several examples of zero-sum games (matching pennies and a more complicated game). We then explain the concept of Nash equilibrium.
Uploaded 17-12-25
MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
Instructor: Ankur Moitra
View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0
We introduce zero-sum games. We define the payoff matrix. We then give several examples of zero-sum games (matching pennies and a more complicated game). We then explain the concept of Nash equilibrium.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
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MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
Instructor: Jeffrey C. Grossman
View the complete course: https://ocw.mit.edu/3-091F18
Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG
Highlights Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61q4qJ1vdkBbiWn3AF1q5SQ
Uploaded 07-12-20
Covers concept of the mole and organizing the periodic table.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Learn more about your ad choices. Visit megaphone.fm/adchoices
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MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
Instructor: Peter Shor
View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0
Uploaded 17-12-25
We explain the problem of maximum flow. First, we show that the maximum flow is always less than the minimum cut. We next write down the linear program for maximum flow and take the dual. It turns out that this gives the minimum cut.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Learn more about your ad choices. Visit megaphone.fm/adchoices
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MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
Instructor: Jeffrey C. Grossman
View the complete course: https://ocw.mit.edu/3-091F18
Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG
Highlights Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61q4qJ1vdkBbiWn3AF1q5SQ
Uploaded 07-12-20
Continuing the discussion of x-ray diffraction techniques.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Learn more about your ad choices. Visit megaphone.fm/adchoices
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MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
Instructor: Ankur Moitra
View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0
Uploaded 17-12-25
We explain what it means for two events to be independent, and what it means to condition one event on another. We cover the law of Total Probability and Bayes’ rule. We then define random variables and expectations, and explain linearity of expectation.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Learn more about your ad choices. Visit megaphone.fm/adchoices
Learn more about your ad choices. Visit megaphone.fm/adchoices
MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
Instructor: Jeffrey C. Grossman
View the complete course: https://ocw.mit.edu/3-091F18
Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG
Highlights Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61q4qJ1vdkBbiWn3AF1q5SQ
Uploaded 07-12-20
Covers steady state and non steady state diffusion (continued).
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Learn more about your ad choices. Visit megaphone.fm/adchoices
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MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
Instructor: Peter Shor
View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0
Uploaded 17-12-25
We prove the Cayley tree theorem by counting in two ways. We then explain the basics of generating functions — what is a generating function, and how we combine two generating functions (e.g. adding them and multiplying them).
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Learn more about your ad choices. Visit megaphone.fm/adchoices
Learn more about your ad choices. Visit megaphone.fm/adchoices
MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
Instructor: Jeffrey C. Grossman
View the complete course: https://ocw.mit.edu/3-091F18
Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG
Highlights Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61q4qJ1vdkBbiWn3AF1q5SQ
Uploaded 07-12-20
Lewis structures, covalent bonds, and resonance continued.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Learn more about your ad choices. Visit megaphone.fm/adchoices
Learn more about your ad choices. Visit megaphone.fm/adchoices
MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024
Instructor: Peter Shor
View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0
Uploaded 17-12-25
We show how to use generating functions to solve linear recurrence equations. In particular, we use generating functions to derive an expression for Fibonacci numbers. We then discuss generating functions with two variables.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Learn more about your ad choices. Visit megaphone.fm/adchoices
Learn more about your ad choices. Visit megaphone.fm/adchoices
MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
Instructor: Jeffrey C. Grossman
View the complete course: https://ocw.mit.edu/3-091F18
Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG
Highlights Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61q4qJ1vdkBbiWn3AF1q5SQ
Uploaded 07-12-20
The VSEPR model allows us to predict the shapes of molecules to more fully understanding their properties.
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
Learn more about your ad choices. Visit megaphone.fm/adchoices
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