Finite subdivision rule

Determine Infinite Limits of a Rational Function Using a Table and Graph (Squared Denominator)

This video explains how to determine a limits and one-sided limits. The results are verified using a table and a graph.

From playlist Infinite Limits

The Quotient Rule and Polynumber Division | Algebraic Calculus One | Wild Egg

The Quotient Rule follows easily from the Product Rule, but it has an interesting additional role in extending the Faulhaber Derivative D from polynumbers to more general quotient polynumbers. We also show how it gives us an Integral Transmutation theorem in the spirit of Leibniz. Divisi

From playlist Algebraic Calculus One

Abstract Algebra - 3.1 Finite Groups and Subgroups: Terminology and Notation

Most of this chapter will revolve around the idea of a subgroup. However, we must begin by being able to differentiate between a finite group and infinite group. We look at some notation and definitions (order of a group, order of an element) before jumping into subgroups. Video Chapters:

From playlist Abstract Algebra - Entire Course

GT23. Composition and Classification

Abstract Algebra: We use composition series as another technique for studying finite groups, which leads to the notion of solvable groups and puts the focus on simple groups. From there, we survey the classification of finite simple groups and the Monster group.

From playlist Abstract Algebra

Lecture 2: A structure theorem for rooted binary phylogenetic networks and its various applications

This video is one of the two introductory lectures (Introduction to Discrete Mathematical Biology) given by Momoko Hayamizu as part of an omnibus lecture series "Advanced Modern Mathematical Sciences 2" for undergraduate mathematics majors at Waseda University. In this lecture, she gives a

From playlist 2020 Advanced Topic in Modern Mathematical Sciences 2

Calculus 2.3 Calculating Limits Using the Limit Laws

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

Math 131 083116 Lecture #01 Ordered Sets and Boundedness

[Notes for the course and others may be downloaded at http://community.scrippscollege.edu/wcwou/online-resources/class-notes/.] Heading towards the real (and complex) numbers: problems with the rational numbers (algebraic incompleteness, analytic incompleteness). Square root of two is ir

From playlist Course 7: (Rudin's) Principles of Mathematical Analysis

Maurice Herlihy: Distributed Computing through Combinatorial Topology

The lecture was held within the framework of the Hausdorff Trimester Program : Applied and Computational Algebraic Topology Models and techniques borrowed from classical combinatorial algebraic topology have yielded a variety of new lower bounds and impossibility results for distributed a

From playlist HIM Lectures: Special Program "Applied and Computational Algebraic Topology"

Inequalities and more limits | Real numbers and limits Math Foundations 107 | N J Wildberger

The epsilon-delta definition of a limit of a sequence, going back to Cauchy and Weierstrass, is here dramatically simplified by restricting attention to the basic objects of calculus: rational polynumbers (or ``rational functions''). We review the basic definition and give a visual interpr

From playlist Math Foundations

Calculus 3.5.1 Determine Finite Limits at Infinity

From playlist Calculus I (Entire Course)

On Finite Types That Are Not h-Sets - Sergey Melikhov

Sergey Melikhov Steklov Mathematical Institute; Member, School of Mathematics February 14, 2013 For more videos, visit http://video.ias.edu

From playlist Mathematics

Kohei Tanaka (10/20/22): Sectional category for maps of finite spaces

We consider the sectional category of a map between finite T_0 spaces (posets) from a combinatorial viewpoint. We compute some examples of the sectional category (or number) for the McCord map, the weak homotopy equivalence on the barycentric subdivision, and the Fadell-Neuwirth fibration

From playlist Topological Complexity Seminar

Four theorems about the Euler characteristic and some space invaders

A talk about Euler characteristics and digital topology meant for a general quantitatively literate audience- hopefully understandable to anybody who can handle basic mathematical ideas. I gave this talk at the weekly colloquium for the Fairfield University summer research groups, includin

From playlist Research & conference talks

Limits and rational poly on-sequences | Real numbers + limits Math Foundations 102 | N J Wildberger

We introduce more general ``infinite sequences'', or on-sequences, generated by rational polynumbers, otherwise often known as rational functions: ratios of one polynomial over another. The association of a sequence to such an expression is surprisingly delicate, and requires us to look at

From playlist Math Foundations

Ngoc Mai Tran: Tropical solutions to hard problems in auction theory and neural networks, lecture II

Tropical mathematics is mathematics done in the min-plus (or max-plus) algebra. The power of tropical mathematics comes from two key ideas: (a) tropical objects are limits of classical ones, and (b) the geometry of tropical objects is polyhedral. In this course, I’ll demonstrate how these

From playlist Summer School on modern directions in discrete optimization

Geometry of Surfaces - Topological Surfaces Lecture 3 : Oxford Mathematics 3rd Year Student Lecture

This is the third of four lectures from Dominic Joyce's 3rd Year Geometry of Surfaces course. The four lectures cover topological surfaces and conclude with a big result, namely the classification of surfaces. This lecture covers cellular decompositions/subdivisions, triangulations and the

From playlist Oxford Mathematics Student Lectures - Geometry of Surfaces

The Computational Complexity of Geometric Topology Problems - Greg Kuperberg

Greg Kuperberg University of California, Davis September 24, 2012 This talk will be a partial survey of the first questions in the complexity theory of geometric topology problems. What is the complexity, or what are known complexity bounds, for distinguishing n-manifolds for various n? Fo

From playlist Mathematics

Luis Scoccola (12/5/21): Density-sensitive and robust Vietoris-Rips filtrations

The Vietoris-Rips (VR) filtration is 1-Lipschitz with respect to the Gromov-Hausdorff distance. Although useful in many applications, this type of result presents two difficulties: VR cannot distinguish datasets that are metrically similar but whose density structure is significantly diffe

From playlist Vietoris-Rips Seminar

Eva Darulova : Programming with numerical uncertainties

Abstract : Numerical software, common in scientific computing or embedded systems, inevitably uses an approximation of the real arithmetic in which most algorithms are designed. Finite-precision arithmetic, such as fixed-point or floating-point, is a common and efficient choice, but introd

From playlist Mathematical Aspects of Computer Science

Definite Integral Using Limit Definition

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definite Integral Using Limit Definition. In this video we compute a definite integral using the limit definition.

From playlist Calculus