55K - views

Euler characteristic (simple form):

Published byalida-meadow

= number of vertices – number of edges + number of faces. Or in short-hand,. . . = |V| - |E| + |F|. where V = set of vertices. E = set of edges. F = set of faces.

Tags : euler characteristic map torus characteristic euler torus map number retract deformation set org topologically double wiki genus objects wikipedia https images means
Embed :
Presentation Download Link

Download Presentation - The PPT/PDF document "Euler characteristic (simple form):" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.

Euler characteristic (simple form):






Presentation on theme: "Euler characteristic (simple form):"— Presentation transcript:

Euler characteristic (simple form): - Description

number of vertices number of edges number of faces Or in shorthand V E F where V set of vertices E set of edges F set of faces ID: 500546 Download Presentation

Similar presentations

Lecture 1: The Euler characteristic
Lecture 1: The Euler characteristic

of a series of preparatory lectures for the Fall 2013 online course MATH:7450 (22M:305) Topics in Topology: Scientific and Engineering Applications of Algebraic Topology. Target Audience: Anyone interested in .

Chapter 6: Graphs 6.2 The Euler Characteristic
Chapter 6: Graphs 6.2 The Euler Characteristic

Chapter 6: Graphs 6.2 The Euler Characteristic Draw A Graph! Any connected graph you want, but don’t make it too simple or too crazy complicated Only rule: No edges can cross (unless there’s a vertex where they’re crossing)

Numerical Solutions to
Numerical Solutions to

ODEs. Nancy . Griffeth. January. 14, . 2014. Funding for this workshop was provided by the program “Computational Modeling and Analysis of Complex Systems,” an NSF Expedition in Computing (Award Number 0926200)..

TARGET ENUMERATION VIA EULER CHARACTERISTIC INTEGRALS YULIY BARYSHNIKOV AND ROBERT GHRIST Abstract
TARGET ENUMERATION VIA EULER CHARACTERISTIC INTEGRALS YULIY BARYSHNIKOV AND ROBERT GHRIST Abstract

We solve the problem of counting the total number of observab le targets eg persons vehicles landmarks in a region using local counts perform ed by a network of sensors each of which measures the number of targets nearby but neither their identiti

Imperatives and Simple Past
Imperatives and Simple Past

What is an imperative?. A . sentence. that gives advice or instructions or that expresses a request or command. (Compare with sentences that make a . statement. , ask a . question. , or express an .

This article presents a simple
This article presents a simple

4 Euler's theorem states that a homogeneous function satisfiesRearranging yields the expression for the delta . Similarly, since and are homogeneous of degree zero,Eliminating the cross-derivative

Leonhard Euler
Leonhard Euler

. 1707-1784 . Leonhard Euler was born in Basel, but the family moved to . Riehen. when he was one year old and it was in . Riehen. , not far from Basel, that Leonard was brought up. Paul Euler, his father, had some mathematical training and he was able to teach his son elementary mathematics along with other subjects..

Meto d e Euler Definisi
Meto d e Euler Definisi

Ide. . dasar. . penggunaan. . teknik. . numerik. . untuk. . menyelesaikan. . persoalan. . fisika. . adalah. . bagaimana. . menyelesaikan. . persoalan. . fisika. . dengan. . karakteristik.

Leonhard Euler’s Rendition on a Theorem of Newton
Leonhard Euler’s Rendition on a Theorem of Newton

By Katherine Voorhees. Russell Sage College. April 6, 2013. A Theorem of Newton. Application and significance . A Theorem of Newton derives a relationship between the roots and the coefficients of a polynomial without regard to negative signs..

Approximating Euler Paths
Approximating Euler Paths

When an Euler path is impossible, we can get an approximate path. In the approximate path, some edges will need to be retraced. An . optimal approximation. of a Euler path is a path with the minimum number of edge .