Conformal mappings | Potential theory
In the mathematical theory of conformal and quasiconformal mappings, the extremal length of a collection of curves is a measure of the size of that is invariant under conformal mappings. More specifically, suppose that is an open set in the complex plane and is a collectionof paths in and is a conformal mapping. Then the extremal length of is equal to the extremal length of the image of under . One also works with the conformal modulus of , the reciprocal of the extremal length. The fact that extremal length and conformal modulus are conformal invariants of makes them useful tools in the study of conformal and quasi-conformal mappings. One also works with extremal length in dimensions greater than two and certain other metric spaces, but the following deals primarily with the two dimensional setting. (Wikipedia).
Absolute Extrema of Functions of Two Variables
http://mathispower4u.wordpress.com/
From playlist Functions of Several Variables - Calculus
From playlist a. Numbers and Measurement
Ex 1: Absolute Extrema on an Closed Interval
This video provides an example of how to determine absolute extrema of a function on an closed interval. Complete video library at www.mathispower4u.com
From playlist Differentiation Application - Absolute Extrema
Introduction to Arc Length Calculus 3
Introduction to Arc Length Calculus 3
From playlist Calculus 3
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
THE BASICS: Foreshortening 1 "Taming The Beast"
Basic description of objects in foreshortening.
From playlist THE BASICS
Extremal theory of ordered graphs – Gábor Tardos – ICM2018
Combinatorics Invited Lecture 13.3 Extremal theory of ordered graphs Gábor Tardos Abstract: We call simple graphs with a linear order on the vertices ‘ordered graphs’. Turán-type extremal graph theory naturally extends to ordered graphs. This is a survey on the ongoing research in the ex
From playlist Combinatorics
THE BASICS: Foreshortening 1 Part 2 "Taming The Beast"
Quick sketching diagrams of rectangular forms and cylinders for foreshortening effects.
From playlist THE BASICS
Absolute Extrema of a Function of Two Variable Over Bounded Region (Circle)
This video explains how to determine the absolute extrema of a function of two variables over a bounded region. http://mathispower4u.com
From playlist Relative Extrema and Applications to Functions of Two Variables
Dylan Thurston: Characterizing rational maps positively using graphs
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 21, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM'
From playlist Virtual Conference
The 1.5×IQR Rule To Locate Outliers & Modified Box-&-Whisker Plots
In this short video, we follow on from the last video in which we introduced the box-and-whisker plot. Here, we introduce the 1.5×IQR rule to locate outliers using the 5-number summary. We provide a rationale for the 1.5 multiplier (resulting in an interval of usual values the length of
From playlist Summer of Math Exposition Youtube Videos
Jean Ecalle: Taming the coloured multizetas
Abstract: 1. We shall briefly describe the ARI-GARI structure; recall its double origin in Analysis and mould theory; explain what makes it so well-suited to the study of multizetas; and review the most salient results it led to, beginning with the exchanger adari(pal∙) of double symmetri
From playlist Dynamical Systems and Ordinary Differential Equations
Ratios and Proportions, Arithmetic & Geometric Mean, Means Extremes Theorem - Geometry Problems
This geometry video tutorial provides a basic introduction into solving ratios and proportions word problems. It explains how to calculate the arithmetic mean and geometric mean of two numbers. It helps you to understand why this process works by writing an arithmetic sequence and a geom
From playlist Geometry Video Playlist
The Top 3 Things You Need To Know About Triangles
Triangles are extremely important in math and geometry. In this video I will go over the top 3 concepts you need to know about triangles to include the sum of the angles in a triangle, the triangle inequality and right triangles and trigonometry. TabletClass Math Academy Math Courses: Pre-
From playlist GED Prep Videos
Ex: Find the Arc Length of a Linear Function
This video provides an example of how to determine the arc length of a rlinear function using integration and using the distance formula. Site: http://mathispower4u.com
From playlist Applications of Integration: Arc Length, Surface Area, Work, Force, Center of Mass
The Pendulum Motion Video Tutorial provides a wealth of details about the motion of a pendulum. Discussion topics include forces, free-body diagrams, force analysis with components, changes in speed and direction, position-time graphs, velocity-time graphs, changes in kinetic and potential
From playlist Vibrations and Waves
Statistical Physics of Biological Evolution by Joachim Krug ( Lecture - 5 )
PROGRAM BANGALORE SCHOOL ON STATISTICAL PHYSICS - X ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 17 June 2019 to 28 June 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the tenth in the series. This is a pedagogical school, aimed at bridgin
From playlist Bangalore School on Statistical Physics - X (2019)
Lower Bounds, Upper Bounds and Error Intervals
"Calculate the upper and lower bound of rounded values or identify an error interval."
From playlist Number: Rounding & Estimation