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MIT 18.156 Projection Theory, Spring 2025
Instructor: Lawrence D Guth
View the complete course: https://ocw.mit.edu/courses/18-156-projection-theory-spring-2025
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62K9_7Pg26ytrAOXwXFpN43
Uploaded 03-11-25
Orponen and Shmerkin proved a sharp projection theorem for sets with self-similar spacing.
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
The common ion effect.
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 18.156 Projection Theory, Spring 2025
Instructor: Lawrence D Guth
View the complete course: https://ocw.mit.edu/courses/18-156-projection-theory-spring-2025
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62K9_7Pg26ytrAOXwXFpN43
Uploaded 03-11-25
We formulate the main questions and goals of the class, especially the exceptional set problem.
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
Using the Aufbau principle to remember the order in which subshells are filled in a multielectron atom.
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 18.156 Projection Theory, Spring 2025
Instructor: Pablo Shmerkin
View the complete course: https://ocw.mit.edu/courses/18-156-projection-theory-spring-2025
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62K9_7Pg26ytrAOXwXFpN43
Uploaded 03-11-25
We introduce the key idea of uniform sets and branching functions.
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 polymer properties, co-polymers, and nature's polymers.
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 18.156 Projection Theory, Spring 2025
Instructor: Lawrence D Guth
View the complete course: https://ocw.mit.edu/courses/18-156-projection-theory-spring-2025
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62K9_7Pg26ytrAOXwXFpN43
Uploaded 03-11-25
We adapt the fundamental methods of projection theory to Euclidean space, taking account of multiple scales.
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.
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 18.156 Projection Theory, Spring 2025
Instructor: Lawrence D Guth
View the complete course: https://ocw.mit.edu/courses/18-156-projection-theory-spring-2025
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62K9_7Pg26ytrAOXwXFpN43
Uploaded 03-11-25
We introduce a classical topic from number theory which is closely related to projection theory.
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
Continues the discussion of ionization.
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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