In mathematics, the connective constant is a numerical quantity associated with self-avoiding walks on a lattice. It is studied in connection with the notion of universality in two-dimensional statistical physics models. While the connective constant depends on the choice of lattice so itself is not universal (similarly to other lattice-dependent quantities such as the critical probability threshold for percolation), it is nonetheless an important quantity that appears in conjectures for universal laws. Furthermore, the mathematical techniques used to understand the connective constant, for example in the recent rigorous proof by Duminil-Copin and Smirnov that the connective constant of the hexagonal lattice has the precise value , may provide clues to a possible approach for attacking other important open problems in the study of self-avoiding walks, notably the conjecture that self-avoiding walks converge in the scaling limit to the Schramm–Loewner evolution. (Wikipedia).
The Constant of Integration is ALWAYS Zero
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From playlist Math Magic
I define one of the most important constants in mathematics, the Euler-Mascheroni constant. It intuitively measures how far off the harmonic series 1 + 1/2 + ... + 1/n is from ln(n). In this video, I show that the constant must exist. It is an open problem to figure out if the constant is
From playlist Series
Ex 2: Find the Value of Constant to Make a Piecewise Defined Function Continuous Everywhere
This video explains how to determine the value of a constant in a one of the function rules of a piece-wise defined function in order for the function to be continuous everywhere. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Continuity Using Limits
Intervals of increasing and decreasing function from a graph
👉 Learn how to determine increasing/decreasing intervals. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph of the function. A function is increasing when the graph of the funct
From playlist When is the Function Increasing Decreasing or Neither
Math 131 092816 Continuity; Continuity and Compactness
Review definition of limit. Definition of continuity at a point; remark about isolated points; connection with limits. Composition of continuous functions. Alternate characterization of continuous functions (topological definition). Continuity and compactness: continuous image of a com
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Ex 1: Find the Value of Constant to Make a Piecewise Defined Function Continuous Everywhere
This video explains how to determine the value of a constant in a one of the function rules of a piece-wise defined function in order for the function to be continuous everywhere. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Continuity Using Limits
Continuity and Monotonicity In this video, I show a very interesting fact about functions: Namely, if a function f is continuous and one-to-one, then it is either strictly increasing, or strictly decreasing. Intuitively it makes sense, but can you prove it? Continuity Playlist: https://w
From playlist Limits and Continuity
Determining when a function is increasing decreasing or constant
👉 Learn how to determine increasing/decreasing intervals. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph of the function. A function is increasing when the graph of the funct
From playlist When is the Function Increasing Decreasing or Neither
New Methods in Finsler Geometry - 22 May 2018
http://www.crm.sns.it/event/415 Centro di Ricerca Matematica Ennio De Giorgi The workshop has limited funds to support lodging (and in very exceptional cases, travel) costs of some participants, with priority given to young researchers. When you register, you will have the possibility to
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Gap and index estimates for Yang-Mills connections in 4-d - Matthew Gursky
Variational Methods in Geometry Seminar Topic: Gap and index estimates for Yang-Mills connections in 4-d Speaker: Matthew Gursky Affiliation: University of Notre Dame Date: March 19, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Lie Groups and Lie Algebras: Lesson 37 - The Fundamental Groups of SU(2) and SO(3)
Lie Groups and Lie Algebras: Lesson 37 - Homotopy Groups of SU(2) and SO(3) In this lesson we discover the Fundamental Group of SU(2) and S0(3) and learn the critical fact that they are not the same. That is, the Fundamental Group associated with the topological space SU(2) is simply conn
From playlist Lie Groups and Lie Algebras
Dmitriy Zhuk: Quantified constraint satisfaction problem: towards the classification of complexity
HYBRID EVENT Recorded during the meeting "19th International Conference on Relational and Algebraic Methods in Computer Science" the November 2, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other t
From playlist Virtual Conference
Rico Zenklusen: The Submodular Secretary Problem Goes Linear
During the last decade, the matroid secretary problem (MSP) became one of the most prominent classes of online selection problems. The strong interest in MSPs is due to both its many applications and the fact that matroid constraints have useful properties for the design of strong online a
From playlist HIM Lectures 2015
Claude LeBrun - Yamabe invariants, Weyl curvature, and the differential topology of 4-manifolds
The behavior of the Yamabe invariant, as defined in Bernd Ammann’s previous lecture, differs strangely in dimension 4 from what is seen in any other dimension. These peculiarities not only manifest themselves in the context of the usual scalar curvature, but also occur in connection with
From playlist Not Only Scalar Curvature Seminar
Lec 5 | MIT 5.60 Thermodynamics & Kinetics, Spring 2008
Lecture 05: Adiabatic changes. View the complete course at: http://ocw.mit.edu/5-60S08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 5.60 Thermodynamics & Kinetics, Spring 2008
Oleg Lisovyi: Monodromy dependence of Painlevé tau functions
In many interesting cases, distribution functions of random matrix theory and correlation functions of integrable models of statistical mechanics and quantum field theory are given by tau functions of Painlevé equations. I will discuss an extension of the Jimbo-Miwa-Ueno differential to th
From playlist Jean-Morlet Chair - Grava/Bufetov
EEVBlog #862 - BK Precision 8601 DC Electronic Load
Dave takes a look at the BK Precision 8601 DC Electronic Load and compares with his older 8500 model. A teardown and some playing around with the software DIY Electronic Load: http://www.youtube.com/watch?v=8xX2SVcItOA 8500 Teardown: http://www.youtube.com/watch?v=AHu0MGEagSo Forum: htt
From playlist Product Reviews & Teardowns
In this video, I show a really neat result, namely that the maximum of two continuous functions is continuous. Enjoy the epsilon-delta extravaganza! Continuity Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmB86yhDeAUZPY0dktFtb8Tj Subscribe to my channel: https://youtube.com/d
From playlist Limits and Continuity