Fitting's theorem is a mathematical theorem proved by Hans Fitting. It can be stated as follows: If M and N are nilpotent normal subgroups of a group G, then their product MN is also a nilpotent normal subgroup of G; if, moreover, M is nilpotent of class m and N is nilpotent of class n, then MN is nilpotent of class at most m + n. By induction it follows also that the subgroup generated by a finite collection of nilpotent normal subgroups is nilpotent. This can be used to show that the Fitting subgroup of certain types of groups (including all finite groups) is nilpotent. However, a subgroup generated by an infinite collection of nilpotent normal subgroups need not be nilpotent. (Wikipedia).
Convex Norms and Unique Best Approximations
In this video, we explore what it means for a norm to be convex. In particular we will look at how convex norms lead to unique best approximations. For example, for any continuous function there will be a unique polynomial which gives the best approximation over a given interval. Chapte
From playlist Approximation Theory
Approximating Functions in a Metric Space
Approximations are common in many areas of mathematics from Taylor series to machine learning. In this video, we will define what is meant by a best approximation and prove that a best approximation exists in a metric space. Chapters 0:00 - Examples of Approximation 0:46 - Best Aproximati
From playlist Approximation Theory
This video explains the Squeeze (Sandwich) Theorem and provides an example. http://mathispower4u.com
From playlist Calculus Proofs
This calculus limits video tutorial explains the squeeze theorem with plenty of examples and practice problems including trig functions with sin and cos (1/x). It explains the definition of the squeeze theorem and how to evaluate functions and limits using inequalities. My Website: http
From playlist New Calculus Video Playlist
Math 131 111416 Sequences of Functions: Pointwise and Uniform Convergence
Definition of pointwise convergence. Examples, nonexamples. Pointwise convergence does not preserve continuity, differentiability, or integrability, or commute with differentiation or integration. Uniform convergence. Cauchy criterion for uniform convergence. Weierstrass M-test to imp
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Multivariable Calculus | The Squeeze Theorem
We calculate a limit using a multivariable version of the squeeze theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Squeeze theorem applied for limit of a sequence
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook Application of the squeeze theorem (sometimes called pinching theorem or sandwich theorem) to calculate a limit of a sequence. Seen in a Calculus 2 course.
From playlist Learn Calculus 2 on Your Mobile Device / Learn Math on Your Phone!
Every Closed Subset of a Compact Space is Compact Proof
Every Closed Subset of a Compact Space is Compact Proof 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
Bayes theorem, the geometry of changing beliefs
Perhaps the most important formula in probability. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/bayes-thanks Home page: https://www.3blue1brown.c
From playlist Prob and Stats
Lecture 9 | Machine Learning (Stanford)
Lecture by Professor Andrew Ng for Machine Learning (CS 229) in the Stanford Computer Science department. Professor Ng delves into learning theory, covering bias, variance, empirical risk minimization, union bound and Hoeffding's inequalities. This course provides a broad introduction
From playlist Lecture Collection | Machine Learning
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
A Universal Law of Robustness via Isoperimetry - a paper by Bubeck and Sellke - Ronen Eldan
Computer Science/Discrete Mathematics Reading Seminar Topic: A Universal Law of Robustness via Isoperimetry - a paper by Bubeck and Sellke Speaker: Ronen Eldan Affiliation: Weizmann Institute of Science; Visitor, School of Mathematics Date: June 08, 2021
From playlist Mathematics
Proofs of the Pythagorean Theorem
The Pythagorean Theorem appears in nearly every branch of mathematics. Here are several proofs drawing from algebra, geometry, and trigonometry.
From playlist Lessons of Interest on Assorted Topics
Bourbaki - 21/03/15 - 1/3 - Sébastien GOUËZEL
Spectre du flot géodésique en courbure négative [d'après F. Faure et M. Tsuji]
From playlist Bourbaki - 21 mars 2015
The Heart of Fermat's Last Theorem - Numberphile
Modularity... Simon Pampena gets to the heart of proving Fermat's Last Theorem. More links & stuff in full description below ↓↓↓ Audible: www.audible.com/numberphile More Numberphile videos on Fermat: http://bit.ly/fermat_videos Simon Pampena is Australia's Numeracy Ambassador --- https:
From playlist Simon Pampena on Numberphile
Pythagoras in 2D and 3D | Revision for Further Maths GCSE, iGCSE, Level 2 and FSMQ
I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. The online course for further maths, FREE revision
From playlist OCR Level 3 FSMQ Additional Maths - Revision Playlist
Extreme Value Statistics: distribution of maxim
From playlist Extreme Value Statistics
Tangential Lipschitz Gain for Holomorphic Functions - Sivaguru Ravisankar
Sivaguru Ravisankar The Ohio State University; Member, School of Mathematics October 1, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
The best way to define the Squeeze Theorem is with an example. We'll use it to prove a common limit: (sin θ)/θ as θ → 0. Trapped between the closing vice grip of sec x and cos x, our desired limit emerges.
From playlist Calculus for Rebels