House monotonicity (also called house-size monotonicity) is a property of apportionment methods and multiwinner voting systems. These are methods for allocating seats in a parliament among federal states (or among political party). The property says that, if the number of seats in the "house" (the parliament) increases, and the method is re-activated, then no state should have less seats than it previously had. A method that fails to satisfy house-monotonicity is said to have the Alabama paradox. House monotonicity is the special case of resource monotonicity for the setting in which the resource consists of identical discrete items (the seats). (Wikipedia).
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
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)
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
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
Local linearity for a multivariable function
A visual representation of local linearity for a function with a 2d input and a 2d output, in preparation for learning about the Jacobian matrix.
From playlist Multivariable calculus
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
Calculus 2: Infinite Sequences and Series (22 of 62) What is a Monotonic Sequence?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and give examples of what is a monotonic sequence. Next video in the series can be seen at: https://youtu.be/_WsCqnDNFOc
From playlist CALCULUS 2 CH 14 SERIES AND SEQUENCES
Moshe Goldstein: "Correlation induced band competition in oxide interfaces: (001) vs. (111) LAO/STO"
Theory and Computation for 2D Materials "Correlation induced band competition in oxide interfaces: (001) vs. (111) LAO/STO" Moshe Goldstein, Tel Aviv University Abstract: The interface between the two insulating oxides SrTiO3 and LaAlO3 gives rise to a two-dimensional electron system wit
From playlist Theory and Computation for 2D Materials 2020
The structure of noncollapsed Gromov-Hausdorff limit spaces - Jeff Cheeger [2017]
slides for this talk: https://drive.google.com/file/d/1pvkn4Qew5ZHrDpvs9txzFOsFFDqYfA3E/view?usp=sharing Name: Jeff Cheeger Event: Workshop: Geometry of Manifolds Event URL: view webpage Title: The structure of noncollapsed Gromov-Hausdorff limit spaces with Ricci Curvature bounded below
From playlist Mathematics
The amazing power of composition - Toniann Pitassi
https://www.math.ias.edu/avi60/agenda More videos on http://video.ias.edu
From playlist Mathematics
Every sequence has a monotone subsequence In this video, I prove a very important result, namely that every sequence has a monotone subsequence. This will be useful for the Bolzano Weierstrass theorem. Not only is the result beautiful, but so is the proof, which is taken from the Analysis
From playlist Sequences
Morrey Spaces and Regularity for Yang-Mills Higgs Equations - Karen Uhlenbeck
Analysis Seminar Topic: Morrey Spaces and Regularity for Yang-Mills Higgs Equations Speaker: Karen Uhlenbeck Affiliation: School of Mathematics Date: December 7, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Erin Chambers (2/5/19): Computing optimal homotopies
Abstract: The question of how to measure similarity between curves in various settings has received much attention recently, motivated by applications in GIS data analysis, medical imaging, and computer graphics. Geometric measures such as Hausdorff and Fr\'echet distance have efficient al
From playlist AATRN 2019
Richard Schoen - Positive Mass Theorem in All Dimensions [2018]
Name: Richard Schoen Event: Workshop: Mass in General Relativity Event URL: view webpage Title: Positive Mass Theorem in All Dimensions Date: 2018-03-26 @10:00 AM Location: 102 http://scgp.stonybrook.edu/video_portal/video.php?id=3552
From playlist Mathematics
Due to the COVID-19 pandemic, Carnegie Mellon University is protecting the health and safety of its community by holding all large classes online. People from outside Carnegie Mellon University are welcome to tune in to see how the class is taught, but unfortunately Prof. Loh will not be o
From playlist CMU 21-228 Discrete Mathematics
Jeff CHEEGER - Noncollapsed Gromov - Hausdorff limit spaces with Ricci curvature bounded below
Abstract: https://indico.math.cnrs.fr/event/2432/material/17/0.pdf
From playlist Riemannian Geometry Past, Present and Future: an homage to Marcel Berger
Hemingway, Fitzgerald, Faulkner (AMST 246) Professor Wai Chee Dimock focuses her introductory lecture on Faulkner's Light in August on the "pagan quality" of his protagonist Lena. She argues that Faulkner uses Lena to update the classic story of the unwed mother by fusing comedy with th
From playlist Hemingway, Fitzgerald, Faulkner with Wai Chee Dimock
Fundamental Machine Learning Algorithms - Linear Regression
The code is accessible at https://github.com/sepinouda/Machine-Learning/
From playlist Machine Learning Course
How to Multiply a Monomial by a Trinomial Using Distributive Property
👉 Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the rules of exponents to add the powers of each variable.
From playlist How to Multiply Polynomials