SYMMETRY GROUPS OF SOME CLASSES OF FUNCTIONS

Jan 02, 2025

50 likes | 69 Views

Dive into the study of symmetry groups associated with specific classes of functions as presented by Marina Pudovkina at the Moscow Engineering-Physics Institute.

Share Presentation

Embed Code

Link

symmetry groups
function classes
mathematical analysis
research presentation

demetriusn

Download Presentation

SYMMETRY GROUPS OF SOME CLASSES OF FUNCTIONS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

SYMMETRY GROUPS OF SOME CLASSES OF FUNCTIONS Marina Pudovkina Moscow Engineering-Physics Institute

Mathematics of Symmetry

Mathematics of Symmetry An Experimental Core Mathematics Course Blake Mellor Department of Mathematics October 26, 2006 Outline of the Talk Goals of the course Content of the course Data collected Survey questions Exams Projects Changes for next time

1.72k views • 50 slides

Symmetry and the point groups

Symmetry and the point groups. Symmetry Elements and Symmetry Operations. Identity Proper axis of rotation Mirror planes Center of symmetry Improper axis of rotation. Symmetry Elements and Symmetry Operations. Identity => E. Symmetry Elements and Symmetry Operations.

2.65k views • 41 slides

Lines of Symmetry!

Lines of Symmetry!. Using Quilts Marj Oesch Pekin Public Schools. How often do you notice patterns around your home?. Have you ever used a “line of symmetry” to compare?. What????? You say you’ve never heard of “line of symmetry”?. Let me introduce you to this part of geometry… .

668 views • 25 slides

Lines of Symmetry

342 views • 11 slides

Some Groups of Mathematical Crystallography

Some Groups of Mathematical Crystallography. Part Deux. Quick Review. Crystals are regular arrangements of atoms/molecules in solids Model symmetry using group theory

643 views • 48 slides

Some Example Applications of Distribution Functions

Some Example Applications of Distribution Functions. Jake Blanchard Spring 2010. Poisson. Lightning strikes – in any small time interval, there is a certain probability that a strike will occur Discontinuities in continuous manufacture of wire (measure is length of wire)

242 views • 12 slides

Symmetry, Groups and Crystal Structures

Symmetry, Groups and Crystal Structures. The Seven Crystal Systems. Minerals structures are described in terms of the unit cell. The Unit Cell. The unit cell of a mineral is the smallest divisible unit of mineral that possesses the symmetry and properties of the mineral.

506 views • 21 slides

Control, Functions, Classes

Control, Functions, Classes. We’ve used built-in types like int and double as well as the standard class string and the streams cin and cout Each type supports certain operations and has a specific range of values What are these for the types we’ve seen so far?

438 views • 36 slides

CH6. Symmetry Symmetry elements and operations Point groups Character tables Some applications

CH6. Symmetry Symmetry elements and operations Point groups Character tables Some applications. symmetry element : an element such as a rotation axis or mirror plane indicating a set of symmetry operations

1.49k views • 19 slides

Symmetry of Functions and Equations

Symmetry of Functions and Equations. y -axis Symmetry. The graph of a function f has y -axis symmetry , or is symmetric with respect to the y -axis , if f (− x ) = f ( x ) for all x in the domain of f . Such functions are called even functions. Symmetry of Functions and Equations.

1.04k views • 9 slides

2.1 Graphs of Basic Functions and Relations; Symmetry

2.1 Graphs of Basic Functions and Relations; Symmetry. Quiz. Fill in the blank below: Given a function f is defined on I, if f increases on I, then for any x 1 <x 2 , f(x 1 )___f(x 2 ). Increasing, Decreasing and constant functions. y. x. y. x. y. x. Basic Functions. Symmetry.

619 views • 8 slides

Symmetry, Groups and Crystal Structures

508 views • 26 slides

Lecture 10 REPRESENTATIONS OF SYMMETRY POINT GROUPS

Lecture 10 REPRESENTATIONS OF SYMMETRY POINT GROUPS. 1) Basis functions, characters and representations Each symmetry operation in a group can be represented by a matrix transforming a particular object ( basis function ) like the symmetry operation in the group does.

1.12k views • 4 slides

Some functions

Some functions. id :: a -> a id x = x const :: a -> b -> a const k _ = k ($) :: (a -> b) -> a -> b f $ x = f x (.) :: (b -> c) -> (a -> b) -> (a -> c) (f . g) x = f (g x)

205 views • 14 slides

Aesthetics of Symmetry

Aesthetics of Symmetry. Aesthetics. Aesthetics comes from the Greek word aisthetike; coined by the philosopher Alexander Gottlieb Baumgarten to mean “The science of how things are known via the senses.”. Aesthetics is defined by the Oxford English Dictionary as :.

811 views • 32 slides

line of symmetry

equilateral. obtuse-angled. acute-angled. scalene. Triangles. congruent. vertex. polygon. right-angled. isosceles. line of symmetry. A triangle. vertexes. is a closed figure (polygon) has three sides has three vertexes has three interior angles. side. angle.

565 views • 31 slides

Some properties of a subclass of analytic functions

Some properties of a subclass of analytic functions. Presented by Dr. Wasim Ul-Haq Department of Mathematics College of Science in Al-Zulfi, Majmaah University KSA. Presentation Layout. Introduction Basic Conceps Preliminary Results Main Results. 3. Introduction.

627 views • 33 slides

Some classes of graphs

CS240A: Classes of Graphs and Their Properties slides under construction – see the Matlab transcript for what I actually did in class. Some classes of graphs. Classifications of graphs: Planar graphs ( drawable without crossing edges) Overlap graphs (physical locality)

256 views • 8 slides

Flavor Symmetry of Parton Distributions and Fragmentation Functions

Flavor Symmetry of Parton Distributions and Fragmentation Functions. Jen-Chieh Peng. University of Illinois at Urbana-Champaign. Workshop on “Future Prospects in QCD at High Energy” BNL, July 17-22, 2006. Outline. Is in the proton?. =. Test of the Gottfried Sum Rule.

498 views • 38 slides

1.4 The Derivatives of Some Basic Functions

1.4 The Derivatives of Some Basic Functions. The derivative function represents the slope of the tangent at each point on the graph of the function. (where it exists) Derivative of y=x. Derivative of y=x 2. Slope of tangent at x =2x y’=2x. Derivative of y=x 2. y’=2x.

349 views • 16 slides

Some functions

Some functions. Introduction- Amino Acid. Cd.  2. Cg. Cb.  1. Ca. N. phi= R i-1 .c, R i .n, R i .ca, R i .c psi= R i .n, R i .ca, R i+1 .c, R i+1 .n. Angle. Given three points  angle Inner product. Cross Product. Cross product. Dihedral angle.

188 views • 8 slides

Symmetry of Properties

MATERIALS SCIENCE & ENGINEERING. Part of. A Learner’s Guide. AN INTRODUCTORY E-BOOK. Anandh Subramaniam & Kantesh Balani Materials Science and Engineering (MSE) Indian Institute of Technology, Kanpur- 208016 Email: anandh@iitk.ac.in, URL: home.iitk.ac.in/~anandh.

699 views • 66 slides

More Related