What are Monotone Sequences? | Real Analysis
We introduce monotone sequences, monotone increasing, and monotone decreasing sequences, with plenty of examples and non-examples. We'll see how a sequence can be both increasing and decreasing, and we'll see some equivalent characterizations of increasing and decreasing sequences. #RealAn
From playlist Real Analysis
Takuro Mochizuki - Non-abelian Hodge Theory for Monopoles with Periodicity
Recently, we obtained equivalences between monopoles with periodicity and difference modules of various types, i.e., periodic monopoles and difference modules, doubly periodic monopoles and q-difference modules, and triply periodic monopoles and difference modules on elliptic curves. In th
From playlist Resurgence in Mathematics and Physics
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
Distinguishing monotone Lagrangians via holomorphic annuli - Ailsa Keating
IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Distinguishing monotone Lagrangians via holomorphic annuli Speaker: Ailsa Keating Affiliation: University of Cambridge Date: June 26, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Using the monotonicity theorem to determine when a function is increasing or decreasing.
From playlist Calculus
On the query complexity of Boolean monotonicity testing - Xi Chen
Computer Science/Discrete Mathematics Seminar I Topic:On the query complexity of Boolean monotonicity testing Speaker: Xi Chen Affiliation: Columbia University Date: October 24, 2016 For more video, visit http;//video.ias.edu
From playlist Mathematics
Eighteenth SIAM Activity Group on FME Virtual Talk
Date: Thursday, March 4, 2021, 1PM-2PM Speaker: Marcel Nutz, Columbia University Title: Entropic Optimal Transport Abstract: Applied optimal transport is flourishing after computational advances have enabled its use in real-world problems with large data sets. Entropic regularization is
From playlist SIAM Activity Group on FME Virtual Talk Series
Marston Morse - An Isoperimetric Concept for the Mass in General Relativity - Gerhard Huisken
Gerhard Huisken Max-Planck Institute for Gravitational Physics March 20, 2009 For more videos, visit http://video.ias.edu
From playlist Mathematics
RubyConf 2015 - Shall We Play A Game? by Randy Coulman
Shall We Play A Game? by Randy Coulman Teaching computers to play games has been a pursuit and passion for many programmers. Game playing has led to many advances in computing over the years, and the best computerized game players have gained a lot of attention from the general public (th
From playlist RubyConf 2015
Monotonicity of the Riemann zeta function and related functions - P Zvengrowski [2012]
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences May 17, 2012 14:00, St. Petersburg, POMI, room 311 (27 Fontanka) Monotonicity of the Riemann zeta function and related functions P. Zvengrowski University o
From playlist Number Theory
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
Understanding Protein Transport on DNA Track ? by Arnab Bhattacharjee
PROGRAM STATISTICAL BIOLOGICAL PHYSICS: FROM SINGLE MOLECULE TO CELL (ONLINE) ORGANIZERS: Debashish Chowdhury (IIT Kanpur), Ambarish Kunwar (IIT Bombay) and Prabal K Maiti (IISc, Bengaluru) DATE: 07 December 2020 to 18 December 2020 VENUE: Online 'Fluctuation-and-noise' are themes
From playlist Statistical Biological Physics: From Single Molecule to Cell (Online)
Xiaolu Tan: On the martingale optimal transport duality in the Skorokhod space
We study a martingale optimal transport problem in the Skorokhod space of cadlag paths, under finitely or infinitely many marginals constraint. To establish a general duality result, we utilize a Wasserstein type topology on the space of measures on the real value space, and the S-topology
From playlist HIM Lectures 2015
Dynamic Graph Algorithms and Their Implementation
Abstract: While many algorithmic graph problems have been solved for static graphs, graphs that are used as models in various applications often change dynamically and, thus, require algorithms that can adapt quickly to the deletion and insertion of edges. I will start with providing an ov
From playlist SIAG-ACDA Online Seminar Series
Proof: Monotone Sequence has Monotone Subsequences | Real Analysis
We prove if a sequence is monotone then all of its subsequences are monotone. In particular, we prove that all subsequences of an increasing sequence are increasing and all subsequences of a decreasing sequence are decreasing. We prove this using the definition of a monotone sequence. #Rea
From playlist Real Analysis
Monotone Subsequence Theorem (Every Sequence has Monotone Subsequence) | Real Analysis
How nice of a subsequence does any given sequence has? We've seen that not every sequence converges, and some don't even have convergent subsequences. But today we'll prove what is sometimes called the Monotone Subsequence theorem, telling us that every sequence has a monotone subsequence.
From playlist Real Analysis
Stability of the spacetime positive mass theorem in spherical symmetry - Marcus Khuri
More videos on http://video.ias.edu
From playlist Mathematics
Entropic Optimal Transport - Prof. Marcel Nutz
A workshop to commemorate the centenary of publication of Frank Knight’s "Risk, Uncertainty, and Profit" and John Maynard Keynes’ “A Treatise on Probability” This workshop is organised by the University of Oxford and supported by The Alan Turing Institute. For further details and regular
From playlist Uncertainty and Risk
"RM Models for Online Advertising and On-Demand Platforms" by Philipp Afèche - Session III
This mini-course focuses on revenue management applications in online advertising and on-demand platforms with time-sensitive customers that give rise to novel matching and queueing models. For example, online advertising platforms match impressions supply to advertiser demand, whereas on-
From playlist Thematic Program on Stochastic Modeling: A Focus on Pricing & Revenue Management
