Proof: Supremum and Infimum are Unique | Real Analysis
If a subset of the real numbers has a supremum or infimum, then they are unique! Uniqueness is a tremendously important property, so although it is almost complete trivial as far as difficulty goes in this case, we would be ill-advised to not prove these properties! In this lesson we'll be
From playlist Real Analysis
Joe Neeman: Gaussian isoperimetry and related topics II
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Joe Neeman: Gaussian isoperimetry and related topics III
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
(ML 19.2) Existence of Gaussian processes
Statement of the theorem on existence of Gaussian processes, and an explanation of what it is saying.
From playlist Machine Learning
Savitch's Theorem, Space Hierarchy
Theory of Computation 16. Savitch's Theorem, Space Hierarchy ADUni
From playlist [Shai Simonson]Theory of Computation
What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
Density conjecture for horizontal families of lattices in SL(2) - Mikolaj Fraczyk
Joint IAS/Princeton University Number Theory Seminar Topic: Density conjecture for horizontal families of lattices in SL(2) Speaker: Mikolaj Fraczyk Affiliation: Member, School of Mathematics Date: April 2, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Barry Mazur - Logic, Elliptic curves, and Diophantine stability
This is the first lecture of the 2014 Minerva Lecture series at the Princeton University Mathematics Department October 14, 2014 An introduction to aspects of mathematical logic and the arithmetic of elliptic curves that make these branches of mathematics inspiring to each other. Specif
From playlist Minerva Lectures - Barry Mazur
Definition of Supremum and Infimum of a Set | Real Analysis
What are suprema and infima of a set? This is an important concept in real analysis, we'll be defining both terms today with supremum examples and infimum examples to help make it clear! In short, a supremum of a set is a least upper bound. An infimum is a greatest lower bound. It is easil
From playlist Real Analysis
Joe Neeman: Gaussian isoperimetry and related topics I
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Adam Savage's Prop Replica Drawings
Find out how you can get Adam's unique art print here: http://www.tested.com/membership In the process of building one of his replica props, Adam accumulates an extremely detailed inventory of all the components of that prop, with specifications that match the original as best as possible
From playlist Inside Adam's Cave
Epsilon Definition of Supremum and Infimum | Real Analysis
We prove an equivalent epsilon definition for the supremum and infimum of a set. Recall the supremum of a set, if it exists, is the least upper bound. So, if we subtract any amount from the supremum, we can no longer have an upper bound. The infimum of a set, if it exists, if the greatest
From playlist Real Analysis
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Proved Savitch’s Theorem: NSPACE(f(n))
From playlist MIT 18.404J Theory of Computation, Fall 2020
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
17. Space Complexity, PSPACE, Savitch's Theorem
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Introduced space complexity. Defined S
From playlist MIT 18.404J Theory of Computation, Fall 2020
Taking the Piss - Still Untitled: The Adam Savage Project - 2/2/18
Adam's back from New Zealand and Australia, with tales of meet-ups with fans, visits to amazing creature effects shops, and dinner with one of his favorite YouTube creators! Plus, Will recaps his trip to this year's ORD camp! To subscribe to Still Untitled, check out our RSS feed: http://
From playlist The Adam Savage Project
Travel Decompression - Still Untitled: The Adam Savage Project - 11/1/16
This week, we're joined by none other than Tested's lead producer, Joey Fameli! Joey and Adam talk about their recent trip to Hungary's capital, airport anxiety, and how each of them decompresses after long travel. We also recap our latest live show and hear about Adam's Totoro upgrades.
From playlist The Adam Savage Project
Christmas With the Coen Brothers - Still Untitled: The Adam Savage Project - 12/23/2014
Adam, Norm, and Will discuss their favorite Coen brothers films and treasured Christmas memories. Enjoy!
From playlist The Adam Savage Project
Rahim Moosa: Around Jouanolou-type theorems
Abstract: In the mid-90’s, generalising a theorem of Jouanolou, Hrushovski proved that if a D-variety over the constant field C has no non-constant D-rational functions to C, then it has only finitely many D-subvarieties of codimension one. This theorem has analogues in other geometric con
From playlist Combinatorics
DEFCON 16: Climbing Everest: An Insider's Look at one state's Voting Systems
Speaker: Sandy Clark "Mouse", University of Pennsylvania Hanging Chads, Hopping votes, Flipped votes, Tripled votes, Missing memory cards, Machine malfunctions, Software glitches, Undervotes, Overvotes. Reports of voting machine failures flooded the news after the last elections and left
From playlist DEFCON 16