Strong Frobenius structure, rigidity and hypergeometric equations Firstly, we will show that if L is a Fucshian differential operator with coefficients in \mathbb{Q}(z), whose monodromy group is rigid and the exponents are rational numbers at singular points, then L has a strong Frobenius
From playlist DART X
Positive operators. Square roots of operators. Characterization of positive operators. Each positive operator has a unique positive square root.
From playlist Linear Algebra Done Right
Unusual Properties: Nowhere Monotonic/ Discontinuous Inverse
This video is about a nowhere monotonic functions and a function with a discontinuous inverse.
From playlist Basics: Unusual Properties in Math
Using the monotonicity theorem to determine when a function is increasing or decreasing.
From playlist Calculus
Sam Coogan, Georgia Tech Probabilistic guarantees for autonomous systems For complex autonomous systems subject to stochastic dynamics, providing absolute assurances of performance may not be possible. Instead, probabilistic guarantees that assure, for example, desirable performance with
From playlist Fall 2019 Kolchin Seminar in Differential Algebra
The identity operator plus a nilpotent operator has a square root. An invertible operator on a finite-dimensional complex vector space has a square root.
From playlist Linear Algebra Done Right
How to Determine if Functions are Linearly Independent or Dependent using the Definition
How to Determine if Functions are Linearly Independent or Dependent using the Definition 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 Th
From playlist Zill DE 4.1 Preliminary Theory - Linear Equations
Suvrit Sra: Lecture series on Aspects of Convex, Nonconvex, and Geometric Optimization (Lecture 2)
The lecture was held within the framework of the Hausdorff Trimester Program "Mathematics of Signal Processing". (26.1.2016)
From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"
Math 031 031017 Monotone Sequence Theorem
The rational numbers have holes: square root of 2 is irrational. Bounded sequences; bounded above, bounded below. Q. Does bounded imply convergent? (No.) Q. Does convergent imply bounded? (Yes.) Proof that convergent implies bounded. Statement of Monotone Sequence Theorem. Definition
From playlist Course 3: Calculus II (Spring 2017)
Sean Kafer: Performance of steepest descent in 0/1 LPs
Even after decades of study, it is unknown whether there exists a pivot rule for the Simplex method that always solves an LP with only a polynomial number of pivots. This remains unknown even in the special case of 0/1 LPs, a case that includes many extensively studied problems in combinat
From playlist Workshop: Tropical geometry and the geometry of linear programming
Polynomial Ergodic Theorems for Strongly Mixing Commuting Transformations - Rigoberto Zelada
Special Year Research Seminar 2:00pm|Simonyi 101 and Remote Access Topic: Polynomial Ergodic Theorems for Strongly Mixing Commuting Transformations Speaker: Rigoberto Zelada Affiliation: University of Maryland Date: April 04, 2023 The goal of this talk is to present new results dealing
From playlist Mathematics
Categories 6 Monoidal categories
This lecture is part of an online course on categories. We define strict monoidal categories, and then show how to relax the definition by introducing coherence conditions to define (non-strict) monoidal categories. We finish by defining symmetric monoidal categories and showing how super
From playlist Categories for the idle mathematician
Giuseppe Buttazzo : Dirichlet-Neumann shape optimization problems
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Control Theory and Optimization
Robert Scheichl: Generalised finite elements: domain decomposition, optimal local approximation...
I will present an efficient implementation of the highly robust and scalable GenEO preconditioner in the high-performance PDE framework DUNE. The GenEO coarse space is constructed by combining low energy solutions of local generalised eigenproblems using a partition of unity. In this talk,
From playlist Numerical Analysis and Scientific Computing
Monotone Expanders - Constructions and Applications - Zeev Dvir
Monotone Expanders -- Constructions and Applications Zeev Dvir Princeton University; Member, School of Mathematics April 22, 2011 A Monotone Expander is an expander graph which can be decomposed into a union of a constant number of monotone matchings, under some fixed ordering of the verti
From playlist Mathematics
Shiri Artstein-Avidan: On optimal transport with respect to non traditional costs
Shiri Artstein-Avidan (University of Tel Aviv) On optimal transport with respect to non traditional costs After a short review of the topic of optimal transport, introducing the c-transform and c-subgradients, we will dive into the intricacies of transportation with respect to a cost wh
From playlist Trimester Seminar Series on the Interplay between High-Dimensional Geometry and Probability
Homogenization of an Elliptic Equation in a Domain with Oscillating Boundary... by Rajesh Mahadevan
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
Monotone Sequence implies Least Upper Bound
Monotone Sequence Theorem implies Least Upper Bound Property In this video, I prove a very interesting analysis result, namely that the Monotone Sequence Theorem is EQUIVALENT to the Least Upper Bound Property. This makes the least upper bound property more intuitive, in my opinion. Chec
From playlist Sequences
Xavier Cabré - 23 September 2016
Cabré, Xavier "The saddle-shaped solution to the Allen-Cahn equation and a conjecture of De Giorgi"
From playlist A Mathematical Tribute to Ennio De Giorgi