By : Arshdeep Singh Bhatia As a part of Ph.D. course PHYS 601.

Slides:

Advertisements

Similar presentations

6 Copyright © 2005, Oracle. All rights reserved. Building Applications with Oracle JDeveloper 10g.

Advertisements

Beginning Programming for Engineers

General Relativity Physics Honours 2008 A/Prof. Geraint F. Lewis Rm 560, A29 Lecture Notes 3.

Economics 2301 Matrices Lecture 12. Inner Product Let a' be a row vector and b a column vector, both being n-tuples, that is vectors having n elements:

MATHEMATICA What it can do for you.. Overview Uses of Mathematica How the program works Language rules EXAMPLES!

01-1 Physics I Class 01 1D Motion Definitions.

02-1 Physics I Class 02 One-Dimensional Motion Definitions.

Macroscopic Behaviours of Palatini Modified Gravity Theories [gr-qc] and [gr-qc] Baojiu Li, David F. Mota & Douglas J. Shaw Portsmouth,

Phy 212: General Physics II Chapter : Topic Lecture Notes.

Possible neutron star compositions Spin evolution of neutron stars.

Introduction to Microsoft Excel

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 8 Introduction to Algebra.

6.4 Vectors and Dot Products

Introduction to MATLAB for Engineers Third Edition William J. Palm III Chapter 11 MuPAD PowerPoint to accompany Copyright © The McGraw-Hill Companies,

Gravitational Waves (& Gravitons ?)

Introduction to ArcGIS for Environmental Scientists Module 1 – Data Visualization Chapter 1 – GIS Basics.

Exploring Office Grauer and Barber 1 Introduction to Access: What is a Database?(Wk1)

Using the Order of Operations Mathematicians have established an order of operations to evaluate an expression involving more than one operation. Finally,

Vectors A quantity which has both magnitude and direction is called a vector. Vector notations A B a AB = a AB x and y are the components of vector AB.

Vectors Definition: A vector quantity is one which has both magnitude and direction One of the simplest vectors is displacement… it has an associated distance.

Using the Order of Operations Mathematicians have established an order of operations to evaluate an expression involving more than one operation. Finally,

Introducing Excel Jason C. H. Chen, Ph.D. Professor of Management Information Systems School of Business Administration Gonzaga University Spokane, WA.

ch46 Vectors by Chtan FYKulai

Course ILT The Internet and Internet Explorer Unit objectives Describe the Internet and the World Wide Web, and discuss Internet addresses Start and navigate.

Chapter 2: First Steps in MuPAD MATLAB for Scientist and Engineers Using Symbolic Toolbox.

Vincent Rodgers © Vincent Rodgers © A Very Brief Intro to Tensor Calculus Two important concepts:

An Introduction to MathCAD Finding Solutions and Symbolic Maths.

Chapter 5 Integration Third big topic of calculus.

11.1 VECTORS IN THE PLANE MISS BATTAGLIA - AP CALCULUS OBJECTIVE: DETERMINE POSITION, VELOCITY, AND ACCELERATION USING VECTORS.

Outline of Tensor Analysis I.Definitions A.Coordinate Systems 1.Cartesian Coordinates 2.Cylindrical and Spherical Coordinates 3.General Curvilinear Coordinates.

CTS130 Spreadsheet Lesson 9 - Building Charts. What is a Chart? A chart is a visual display of information in a worksheet. Charts can help you make comparisons,

Properties of Addition and Multiplication. Commutative Property In the sum you can add the numbers in any order. a+b = b+a In the product you can multiply.

1 Committed to Shaping the Next Generation of IT Experts. Chapter 1- Introduction to Access: What is a Database? Robert Grauer and Maryann Barber Exploring.

Photoshop 7.0. What is Photoshop Photoshop is a graphics package used to create, modify and correct pictures and images. Retouching photos.

General Relativity Physics Honours 2008 A/Prof. Geraint F. Lewis Rm 560, A29 Lecture Notes 10.

VECTORS (Ch. 12) Vectors in the plane Definition: A vector v in the Cartesian plane is an ordered pair of real numbers:  a,b . We write v =  a,b  and.

Analytic Geometry o f Space 3D Space (right-handed coordinate system) Introduction to Vectors –Let –We may to know the displacement from P to Q From P.

Vectors Lesson 13.4 Pre-AP Geometry. Lesson Focus This lesson defines the concept of a vector. Vectors have important applications in physics, engineering,

8.1 and 8.2 answers. 8.3: Vectors February 9, 2009.

CHAPTER 3: VECTORS NHAA/IMK/UNIMAP.

Main Grid This presentation contains Higher past paper questions complete with solutions for the year The questions are sorted into topics based.

Commutative and Associative Properties. Properties are rules in mathematics. You can use math properties to simplify algebraic expressions!

Multiplying Matrices Lesson 4.2. Definition of Multiplying Matrices The product of two matrices A and B is defined provided the number of columns in A.

11.2 Space coordinates and vectors in Space. 3 dimensional coordinate plane.

Mod-2 Vector Arithmetic For 2 binary n-vectors a and b –All components of a and b are elements of {0,1} –The mod-2 sum, c = a+b is term-by-term mod-2 sum.

Giulio Eulisse, Northeastern University CHEP’04, Interlaken, 27th Sep - 1st Oct, 2004 CHEP’04 IGUANA Interactive Graphics Project:

Understanding Web Browsers Presented By: Philip Slama Nancy Solomon CGS 1060.

Introduction to Programming on MATLAB Ecological Modeling Course Sep 11th, 2006.

Calculus Limits Lesson 2. Bell Activity A. Use your calculator graph to find:

An Introduction to MathCAD More Symbolic Maths And First Steps in Calculus.

Introduction to Financial Modeling MGT 4850 Spring 2008 University of Lethbridge.

1 After completing this lesson, you will be able to: Build formulas. Copy formulas. Edit formulas. Use the SUM function and AutoSum. Use the Formula Palette.

Section 9.2 Vectors in 3-dim space Two approaches to vectors 1.Algebraic 2.Geometric.

수학 모든 자연 법칙은 크기 사이의 관계 (Correlation) 를 나타냄 (Functional Relationship) y = f(x) x, y : quantity, Analytic Method Dependency of y on x Implicit Function F(x,

 Introduction of Microsoft Excel  Uses of Microsoft Excel  How to start Microsoft Excel  Introduction of Microsoft Excel Screen  Practical of Mark.

UNIT 1: Introduction To The AutoCAD Interface Objectives: Be able to identify, describe and/or apply… The key components of AutoCAD interface The AutoCAD.

9.1 Series Objectives: Understand Notation!! Reading the language and symbols which ask you to add the terms of a sequence.

MTH108 Business Math I Lecture 20.

Who Wants To Be A Millionaire?

ES2501: Statics/Unit 4-1: Decomposition of a Force

Section 1.2 Vectors in 3-dim space

Introduction Mathcad is a product of mathSoft inc. The Mathcad can help us to calculate, graph, and communicate technical ideas. It lets us work with.

Physics I Class 01 Introduction & 1D Motion.

Differential Manifolds and Tensors

Physics 111 Practice Problem Solutions 01 Units, Measurement, Vectors SJ 8th Ed.: Ch , 3.1 – 3.4 Contents: 1-7, 1-9, 1-10, 1-12, 1-15, 1-21* 3-5,

Boolean Algebra.

Section 14.4 Gradients and the Directional Derivatives in the Plane

Vectors and Dot Products

Data Analytics course.

Presentation transcript:

By : Arshdeep Singh Bhatia As a part of Ph.D. course PHYS 601

TOPICS ADDRESSED : HISTORY OF MAPLE INTRODUCTION TO INTERFACE OPERATIONS POSSIBLE BENEFITS/DRAWBACKS TENSORS INTRODUCTION TO GRTensor

Palettes Workspace Status bar Context bar Toolbar Menu bar

O.D.E. Analytic soln. Initial cond. Laplace mthd. Series soln.

Can work with undefined constants !!

360. view plot formatting options

An incomplete definition Tensors generally used in cosmology How are they obtained Need for a package like GRTensor

Kerr Metric

Initialization Loading a metric

Calculating christoffel’s symbols Display the result

Calculating Reimann tensor

Ricci Tensor Ricci Scalar Einstein Tensor

The new metric

SYNTAXRESULT R(dn,dn,pdn)R ab,c R(dn,d,cdn)R ab;c > grdef ( ‘A{a b}’ ):Creates a new vector ‘ A ab ‘ > grcalc ( A(dn,dn)):Inputs the components of ‘ A ab ‘ > grdef ( ‘A{â ^b}’ ):Creates a new vector ‘ A ab ‘ > grdef (‘new object:= object definition’ ) Defines a new tensor R{â ^b b c}Σ R ab bc R{â ^b}*Box[ R{ a b }]R ab

Some other jobs GRTensor can be used for : Defining new tensors Modifying tensor components Finding sum / products of tensors Tensor Calculus Simplifying the results Working in multiple geometries Many other operations Iam still unaware of……….