Theorems in complex analysis | Lemmas in analysis
In mathematics, Oka's lemma, proved by Kiyoshi Oka, states that in a domain of holomorphy in , the function is plurisubharmonic, where is the distance to the boundary. This property shows that the domain is pseudoconvex. Historically, this lemma was first shown in the Hartogs domain in the case of two variables, also Oka's lemma is the inverse of Levi's problem (unramified Riemann domain ). Therefore, Oka himself calls Levi's problem "problème inverse de Hartogs", and Levi's problem is occasionally called Hartogs' Inverse Problem. (Wikipedia).
Berge's lemma, an animated proof
Berge's lemma is a mathematical theorem in graph theory which states that a matching in a graph is of maximum cardinality if and only if it has no augmenting paths. But what do those terms even mean? And how do we prove Berge's lemma to be true? == CORRECTION: at 7:50, the red text should
From playlist Summer of Math Exposition Youtube Videos
Math 060 101317C Linear Transformations: Isomorphisms
Lemma: Linear transformations that agree on a basis are identical. Definition: one-to-one (injective). Examples and non-examples. Lemma: T is one-to-one iff its kernel is {0}. Definition: onto (surjective). Examples and non-examples. Definition: isomorphism; isomorphic. Theorem: T
From playlist Course 4: Linear Algebra (Fall 2017)
Symmetry in Physics | Noether's theorem
▶ Topics ◀ Global / Local Symmetries, Continuous / Discrete Symmetries ▶ Social Media ◀ [Instagram] @prettymuchvideo ▶ Music ◀ TheFatRat - Fly Away feat. Anjulie https://open.spotify.com/track/1DfFHyrenAJbqsLcpRiOD9 If you want to help us get rid of ads on YouTube, you can support us on
From playlist Symmetry
Graph Theory FAQs: 02. Graph Automorphisms
An automorphism of a graph G is an isomorphism between G and itself. The set of automorphisms of a graph forms a group under the operation of composition and is denoted Aut(G). The automorphisms of a graph describe the symmetries of the graph. We look at a few examples of graphs and det
From playlist Graph Theory FAQs
Burnside's Lemma (Part 2) - combining math, science and music
Part 1 (previous video): https://youtu.be/6kfbotHL0fs Orbit-stabilizer theorem: https://youtu.be/BfgMdi0OkPU Burnside's lemma is an interesting result in group theory that helps us count things with symmetries considered, e.g. in some situations, we don't want to count things that can be
From playlist Traditional topics, explained in a new way
Nigel Higson: The Oka principle and Novodvorskii’s theorem
Talk by Jonathan Rosenberg in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on November 11, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt
From playlist Problems, Paradoxes, and Sophisms
Ravi Varmake andani oke oka andanivo
Movie: Ramude Ravanudaithe Singers: S.P.Balu, S. Janaki రవివర్మకే అందని ఒకే ఒక అందానివో రవివర్మకే అందని ఒకే ఒక అందానివో రవి చూడని పాడని నవ్య నాదానివో రవివర్మకే అందని ఒకే ఒక అందానివో ఏ రాగమో తీగ దాటి ఒంటిగా నిలిచే ఏ యోగమో నన్ను దాటి జంటగా పిలిచే ఏ మూగ భావాలో అనురాగ యోగాలై నీ పాటలే పాడ
From playlist Telugu Songs
8ECM Plenary Lecture: Franc Forstnerič
From playlist 8ECM Plenary Lectures
Crazy Self propelled Howitzers from 75 to 420mm Caliber Size Comparison 3D
2B1 Oka Transformer has arrived ! This Russian Howitzer Had a Bigger Gun Than Iowa-Class Battleships. 2B1 Oka (Russian: 2Б1 Ока) is a Soviet 420 mm self-propelled heavy artillery. The Oka used a T-10 heavy tank hull as a chassis. Its 20-meter barrel allowed it to fire 750 kg rounds up t
From playlist Comparison
Finding the rule of the sequence using multiplication and addition
👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence
From playlist Sequences
E. Floris - Birational geometry of foliations on surfaces (Part 3)
The goal of this minicourse is to introduce MMP for foliations on surfaces and to outline the classification of foliations on projective surfaces up to birational equivalence.
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
David Ayala: Factorization homology (part 2)
The lecture was held within the framework of the Hausdorff Trimester Program: Homotopy theory, manifolds, and field theories and Introductory School (7.5.2015)
From playlist HIM Lectures 2015
What is the alternate in sign sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Modeling Public Pensions with Mathematica & Python II
Defined benefit pension plans are the predominant method of retirement compensation for state government employees. They create entitlements to annuities whose value is determined by a plan-specific complex function of their salary trajectory and other parameters such as cost of living adj
From playlist Wolfram Technology Conference 2013
Understanding deep networks and its role played in prioritized search - Yuandong Tian
Workshop on New Directions in Reinforcement Learning and Control Topic: Understanding deep networks and its role played in prioritized search Speaker: Yuandong Tian Affiliation: Facebook AI Date: November 7, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
The Evolution of Getting Punched in the Face
SciShow delivers the latest in science news, including how fist-fighting fueled the evolution of the human face, new insights into the origin of schizophrenic "voices," and new research into the bird flu. ---------- Messages from our Subbable subscribers: ---------- Like SciShow? Want to h
From playlist Uploads
Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
Yvan Martel: Dynamics of critical generalized KdV equation
The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Partial Differential Equations. 14.07.2014
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Linear Algebra 8.3 Isomorphism
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.
From playlist Linear Algebra