In differential topology, an area of mathematics, a neat submanifold of a manifold with boundary is a kind of "well-behaved" submanifold. To define this more precisely, first let be a manifold with boundary, and be a submanifold of . Then is said to be a neat submanifold of if it meets the following two conditions: * The boundary of is a subset of the boundary of . That is, . * Each point of has a neighborhood within which 's embedding in is equivalent to the embedding of a hyperplane in a higher-dimensional Euclidean space. More formally, must be covered by charts of such that where is the dimension of . For instance, in the category of smooth manifolds, this means that the embedding of must also be smooth. (Wikipedia).
Ex 2: Subtracting Signed Fractions
This video provides two examples of subtracting signed fractions. Complete Video Library at http://www.mathispower4u.com
From playlist Adding and Subtracting Fractions
An introduction to subtraction, the terms and concepts involved, and subtraction as the opposite of addition. Some example problems are carefully worked and explained. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.
From playlist Prealgebra Chapter 1 (Complete chapter)
Prealgebra 4.3a - Complex Fractions
Complex Fractions. What they are, and one technique for simplifying them.
From playlist Prealgebra Chapter 4 (Complete chapter)
Prealgebra 3.04f - Dividing Fractions
Dividing by a fraction is the same as multiplying by the reciprocal. The concept is demonstrated and some examples are worked.
From playlist Prealgebra Chapter 3 (Complete chapter)
This video explains how to multiply using whole numbers. http://mathispower4u.yolasite.com/
From playlist Multiplying and Dividing Whole Numbers
Determine a Subtraction Problem Modeled on a Number Line
This video explains how to write an subtraction equation from a number line model. http://mathispower4u.com
From playlist Addition and Subtraction of Whole Numbers
Multiplication and Division of Fractions
If we know how to add and subtract fractions, we should know how to multiply and divide them too, right? Don't worry, it's actually even easier than adding and subtracting them, because when we multiply two fractions, they don't have to have the same denominator, like when we add them. And
From playlist Mathematics (All Of It)
How to multiply a two digit whole number by a three digit whole number
đ You will learn how to multiply integers from one digit to multiple digits. When multiplying it is important to understand that multiplication is just repeated addition. However with multi-digit numbers we will follow a step by step process to find the product of the two numbers. đSUB
From playlist Integer Operations
Winter School JTP: Introduction to Fukaya categories, James Pascaleff, Lecture 1
This minicourse will provide an introduction to Fukaya categories. I will assume that participants are also attending Kellerâs course on Aâ categories. ô° Lecture 1: Basics of symplectic geometry for Fukaya categories. Symplectic manifolds; Lagrangian submanifolds; exactness conditions;
Mean curvature flow in high co-dimension - William Minicozzi
Analysis Seminar Topic: Mean curvature flow in high co-dimension Speaker: William Minicozzi Affiliation: Massachusetts Institute of Technology Date: April 26, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
C0 contact geometry of isotropic submanifolds - Maksim StokiÄ
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Three 20-minute research talks Topic: C0 contact geometry of isotropic submanifolds Speaker: Maksim StokiÄ Affiliation: Tel Aviv University Date: May 27, 2022Â Homeomorphism is called contact if it can be written a
From playlist Mathematics
Manifolds - Part 14 - Submanifolds
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From playlist Manifolds
Adding & Subtracting Surds | Numbers | Maths | FuseSchool
Adding & Subtracting Surds | Numbers | Maths | FuseSchool In this video we are going to have a quick look at adding and subtracting surds. You should already know how to simplify them. There is just one simple rule for adding and subtracting surds: the square root number must be the s
From playlist MATHS: Numbers
Producing Minimal Submanifolds via Gauge Theory
Daniel Stern (U Chicago) Abstract: The self-dual U(1)-Yang-Mills-Higgs functionals are a natural family of energies associated to sections and metric connections of Hermitian line bundles, whose critical points (particularly in the 2-dimensional and Kaehler settings) are objects of long-st
From playlist Informal Geometric Analysis Seminar
Jake Solomon: The degenerate special Lagrangian equation
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Jean-Morlet Chair - Lalonde/Teleman
Sachchidanand Prasad: Morse-Bott Flows and Cut Locus of Submanifolds
Sachchidanand Prasad, Indian Institute of Science Education and Research Kolkata Title: Morse-Bott Flows and Cut Locus of Submanifolds We will recall the notion of cut locus of closed submanifolds in a complete Riemannian manifold. Using Morse-Bott flows, it can be seen that the complement
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Paola Frediani: Totally geodesic submanifolds in the Torelli locus
We will describe recent results on totally geodesic submanifolds and Shimura subvarieties of Ag contained in the Torelli locus Tg. Using the second fundamental form of the Torelli map we give an upper bound on the dimension of totally geodesic submanifolds contained in Tg, which depends on
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"
François Lalonde - Applications of Quantum homology to Symplectic Topology (Part 3)
The first two lectures will present the fundamental results of symplectic topology : basic definitions, Moserâs lemma, normal forms of the symplectic structure near symplectic and Lagrangian submanifolds, characterization of Hamiltonian fibrations over any CW-complex. The third course will
From playlist Ăcole dâĂ©tĂ© 2012 - Feuilletages, Courbes pseudoholomorphes, Applications
Prealgebra 4.1d - Subtracting Like Fractions
Subtracting like fractions (fractions with the same denominator). The concept is explained with some simple introductory examples.
From playlist Prealgebra Chapter 4 (Complete chapter)
François Lalonde - Applications of Quantum homology to Symplectic Topology (Part 4)
The first two lectures will present the fundamental results of symplectic topology : basic definitions, Moserâs lemma, normal forms of the symplectic structure near symplectic and Lagrangian submanifolds, characterization of Hamiltonian fibrations over any CW-complex. The third course will
From playlist Ăcole dâĂ©tĂ© 2012 - Feuilletages, Courbes pseudoholomorphes, Applications