Use the power method- in Matlab to determine the highest eigenvalue an.docx

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Use the power method, in Matlab to determine the highest eigenvalue and corresponding eigenvector for the matrix Use the power method to determine the highest eigenvalue and corresponding eigenvector for the matrix Show four iterations of your hand calculations, starting with an initial guess for the eigenvector {111}T. Also, use the powereig.m M-file function discussed in class (posted on Canvas under Lecture 16) to obtain the eigenvalue within 0.01% accuracy using MATLAB. Solution function l = ww(A,E) n = length(A); y = []; x = []; for i = 1:n % starting vector x(i) = A(i,1); end; l = 0; blad = E; % starting value of error while blad>=E for i = 1:n % A*x y(i) = 0; for j = 1:n y(i) = y(i) + A(i,j)*x(j); end; end; blad = l; l = 0; % Rayleigh m = 0; for i = 1:n l = l + x(i)*y(i); m = m + x(i)*x(i); end; l = l/m; % eigenvalue blad = abs(l - blad); % error x = y; end; end .

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CALIFORNIA STATE UNIVERSITY, NORTHRIDGE MECHANICAL ENGINEERING DEPARTMENT MARCH 30 2015 ME 309 HOMEWORK #3 Ahmed Mohammed Problem statement 1. Write a general computer code to solve system of up to five couples first order initial value problems using Heun and Newton iteration trapezoidal methods. These are combined in the same algor4thim in such way that Heun’s method is automatically employed to provide the initial guess at each time step for the Newton iteration required by fully implicit Heun’s method, and no iterations are needed. The complete pseudo-language algorithm is attached. Test this code by solving the following problem. Use step size h= 0.1, 0.05 and 0.025. Solve the problem first with explicit Hun’s method, and then with implicit Newton iteration integration for each value of h. employ a convergence tolerance E= 0.000001 for the Newton iteration of the trapezoidal method. The exact solution to this problem is, Make a table of results of convergence tests (based on the exact solution) at t=1, 2, 3, 4 & 6. This table should include the exact value, the computed solution, the error and the error ratios from successive step size for each of the required values of t. discuss how these results compare with theory. Also discuss what factors should influence the choice of convergence tolerance E for the Newton iterations, and whether the specified value given above is appropriate. 2. Solve the following problem using only the newton iteration trapezoidal method. Employ step size h=0.1, 0.05, 0.01 and iteration convergence tolerance E= 0.000001. Consider the h=0.01 solution to be the “exact” in order to carry out convergence testes between the h= 0.1 and h=0.05 solutions at t=0.5, 1, 1.5, 2. Make a table, similar to the table in problem number 1. Mathematical Description HEUN’S METHOD Heun’s Method, explained in a short manner, uses the line tangent to the function at the beginning of an interval. Now if a small step is applied to it, the error with the function result will be small. Heun’s method can be explained in more detailed in the following way: 2.- To obtain solution point (t1,y1) we can use the fundamental theorem of calculus and integrate y’(t) over [t0,t1] to get 3.- Solving for y(t1) we find, 4.- We can use a numerical integration to approximate definite integral. If we use trapezoidal rule with step size h = t1 – t0, then we get 5.- We still need to find, y(t1) but an estimation for this value will work. After this we get the following, which is the Heun’s method. 6.- When this process is repeated it generates a sequence of points that approximate the solution curve y =y(t). At each step, Euler’s method is used as a prediction then the trapezoidal rule helps to make the correction to obtain the final value. [1] Newton’s Method It is way to approximate the roots of an equation by taking out the curve in the equation and then replace with a tangent line. Then, it find ...

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Consider a 4-Link robot manipulator shown below. Use the forward kinematic D-H table and write an m file that plots the manipulator. The instructions are given in the module 6. Submit your solutions by the due date, in a single MATLAB m file. Solution Please give the kinetic D-H table else it would be difficult to code as we need to know the rotation spin axis and other momentum of manipulator Stating a general example code for manipulator with data function X = fwd_kin(q,x) % given a position in the configuration space, calculate the position of % the end effector in the workspace for a two-link manipulator. % q: vector of joint positions % x: design vector (link lengths) % X: end effector position in cartesian coordinates % configuration space coordinates: q1 = q(1); % theta 1 q2 = q(2); % theta 2 % manipulator parameters: l1 = x(1); % link 1 length l2 = x(2); % link 2 length % calculate end effector position: X = [l1*cos(q1) + l2*cos(q1+q2) l1*sin(q1) + l2*sin(q1+q2)]; % SimulateTwolink.m uses inverse dynamics to simulate the torque % trajectories required for a two-link planar robotic manipulator to follow % a prescribed trajectory. It also computes total energy consumption. This % code is provided as supplementary material for the paper: % % \'Engineering System Co-Design with Limited Plant Redesign\' % Presented at the 8th AIAA Multidisciplinary Design Optimization % Specialist Conference, April 2012. % % The paper is available from: % % http://systemdesign.illinois.edu/publications/All12a.pdf % % Here both the physical system design and control system design are % considered simultaneously. Manipulator link length and trajectory % specification can be specified, and torque trajectory and energy % consumption are computed based on this input. It was found that maximum % torque and total energy consumption calculated using inverse dynamics % agreed closely with results calculated using feedback linearization, so % to simplify optimization problem solution an inverse dynamics approach % was used, which reduces the control design vector to just the trajectory % design. % % In the conference paper several cases are considered, each with its own % manipulator task, manipulator design, and trajectory design. The % specifications for each of these five cases are provided here, and can be % explored by changing the case number variable (cn). % % This code was incorporated into a larger optimization project. The code % presented here includes only the analysis portion of the code, no % optimization. % % A video illustrating the motion of each of these five cases is available % on YouTube: % % http://www.youtube.com/watch?v=OR7Y9-n5SjA % % Author: James T. Allison, Assistant Professor, University of Illinois at % Urbana-Champaign % Date: 4/10/12 clear;clc % simulation parameters: p.dt = 0.0005; % simulation step size tf = 2; p.tf = tf; % final time p.ploton = 0; % turn off additional plotting capabilities p.ploton2 = 0; p.Tallow = 210; % maximum .

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Use the Referraces to acce inportant val In the following net ionic equation, identify each species as either a Bonsted Lowry acid or a Brested Lowry bae HF (aq) S03 HSO, In this reaction The formula for the conjugate of HF is of SOi The formula for the conjugate more group aempts remaining Sutrmut Answer In the following net ionic equation, identaify each species as ether a Bronsted-Lowry acid or a Bconsted Lowry base H2S (aq) Bronsted Lowry--. | HS HF (aq) BrenstedLowry Bronsted In this reaction The formula for the conjugate of HSi v of F is The formula for the conjugate 9 more group attempts remaining Retry Entire Group Solution Ans 1 BrÃ¸nsted-Lowry base accepts a proton (H+) SO3 2- accepts a proton from HF to form its conjugate acid HSO3- BrÃ¸nsted-Lowry acid donates a proton (H+) HF donates a proton to SO3 2- to form its conjugate base F- HF =BrÃ¸nsted-Lowry acid SO3 2- =BrÃ¸nsted-Lowry base F- =BrÃ¸nsted-Lowry base HSO3- =BrÃ¸nsted-Lowry acid In this reaction The formula for the conjugate base of HF is F- The formula for the conjugate acid of SO3 2- is HSO3- .

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Use the References to access importantv It is often possible to change a hydrate into an anhydrous compound by heating it to drive off the water (dehydration). A 34.82 gram sample of a hydrate of MgI2 was heated thoroughly in a porcelain crucible, until its weight remained constant. After heating, 22.94 grams of the anhydrous compound remained. What is the formula of the hydrate? Use a period instead of a dot in the formula of the hydrate. Solution 1) 1) Let the formula be MgI2.XH2O We need to calculate X mass of H2O = mass of hydrated salt - mass of anhydrous salt mass of H2O = 34.82 g - 22.94 g mass of H2O = 11.88 g Molar mass of H2O, MM = 2*MM(H) + 1*MM(O) = 2*1.008 + 1*16.0 = 18.016 g/mol mass(H2O)= 11.88 g use: number of mol of H2O, n = mass of H2O/molar mass of H2O =(11.88 g)/(18.02 g/mol) = 0.6594 mol Molar mass of MgI2, MM = 1*MM(Mg) + 2*MM(I) = 1*24.31 + 2*126.9 = 278.11 g/mol mass(MgI2)= 22.94 g use: number of mol of MgI2, n = mass of MgI2/molar mass of MgI2 =(22.94 g)/(2.781*10^2 g/mol) = 8.249*10^-2 mol use: X = mol (H2O)/mol (MgI2) X = 0.6594 / 8.249*10^-2 X = 8 Answer: MgI 2 .8H 2 O Only 1 question at a time please .

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Use the following financial statements for Lake of Egypt Marina, Inc. Earnings before interest, taxes, depreciation, and amortization (EBITDA) Calculate the internal and sustainable growth rate for Lake of Egypt Marina, Inc. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Solution Internal growth Rate = (ROA x b) / 1 - (ROA x b) ROA = Return on Assets = Net Income / Average total assets Average total assets = (1003+875)/ 2 = 939 ROA = 161/ 939 = 0.171 b = retention ratio Retention ratio = 1- dividend payout ratio Dividend payout ratio = Total dividends/ Net income = 65/156 = 0.417 Retention ratio = 1 - 0.417 = 0.583 Internal growth rate = (0.171 * 0.583) / (1-(0.171 * 0.583)) = 0.111 or = 11.10% Sustainable growth rate = ROE x b ROE = Net income/ shareholders equity = 156 / 421 = 0.371 Sutainable growth rate = 0.371 * 0.583 = 0.216 or = 21.63% .

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Use SQL to Create a table with at least 4 attributes one of which is the Primary key. Then, insert 2 records into the table. Finally, use a select statement to show the content of your table after the inserts. Be sure your SQL statements work without issue and show each of of your statements. Solution Create person table CREATE TABLE Person ( ID int, LastName varchar(255), FirstName varchar(255), City varchar(255), PRIMARY KEY (ID) ); Insert records into person table INSERT INTO Person (ID, LastName, FirstName, City)VALUES (1,\"Tom\",\"Erichsen\",\"Norway\"); INSERT INTO Person (ID, LastName, FirstName, City)VALUES (2,\"Tim\",\"vers\",\"London\"); Use a select statement to show the content of your table SELECT * FROM Person; .

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Using your own words and one complete sentence per term, define the following terms: Geomorphology Engineering geology Lithosphere Mineral Rock Solution Geomorphology is the scientific study of the origin and evolution of topographic and bathymetric features created by physical, chemical or biological processes operating at or near the Earth\'s surface. Engineering geology is the application of the geological sciences to engineering study for the purpose of assuring that the geological factors regarding the location, design, construction, operation and maintenance of engineering works are recognized and accounted for. lithosphere is the solid outer section of Earth, which includes Earth\'s crust (the \"skin\" of rock on the outer layer of planet Earth), as well as the underlying cool, dense, and rigid upper part of the upper mantle. mineral is a naturally occurring substance, representable by a chemical formula, that is usually solid and inorganic, and has a crystal structure. It is different from a rock, which can be an aggregate of minerals or non-minerals and does not have a specific chemical composition. rock or stone is a naturally occurring solid aggregate of one or more minerals or mineraloids. For example, the common rockgranite is a combination of the quartz, feldspar and biotite minerals. .

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Using the method of 1/2 reactions balance the skeleton equation: I2 + H2S ---> I- + S Solution Ans. Balancing redox reactions under neutral condition: Step 1: Separate the half-reactions. Balance all the elements except O and H in each half-reaction individually. Oxidation half reaction: H 2 S -----------> S Reduction half reaction: I 2 --------------> 2 I ? Step 2: Balance O and H to both the half reactions- Oxidation half reaction: H 2 S -----------> S + 2 H + Reduction half reaction: I 2 --------------> 2 I ? ; [Not needed] Step 3: Add the two half-reactions to get balanced reaction. Cancel the terms common on opposite side of the reaction (if any) - H 2 S -----------> S + 2 H + I 2 --------------> 2 I ? ---------------------------------- H 2 S + I2 ----------> S + 2 H + + 2 I - # H + and I - form HI. So, the overall reactions turn to be- H 2 S + I 2 ----------> S + 2 HI .

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Using the descriptions of the attributes given in the ERD below, provided the one partial dependency (3 points) and the one transitive dependency (2 points) (5 points total). Hint: Both dependencies are contained within the PRESENTATION table. Solution Transitive dependency: If there are three attributes in table and A->B but not B->A and B->C then A->C is known as transitive dependency In the given table of Presentation, Pres_SessionNum and Pres_Order are functionally dependent on Pres_AuthorID and this is functionally dependent on Pres_FName , hence Pres_SessionNum is transitive dependent on Pres_FName Partial dependency: If part of the primary key is used to identify an attribute then it is known as Partial dependency Pres_Room is functionally dependent on Pres_SessionNum and Pres_Order and Pres_SessionNum can solely used for identification of Pres_Room hence Pres_Room and Pres_SessionNum are partial dependent .

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Using the following definition for a Binary Tree Node - complete the functions isFull and isLeaf - returning either true or false. var TNode = function(_content) { this.left = null; this.right = null;} TNode.prototype.isLeaf = function() { } TNode.prototype.isFull = function() { } Solution var countNodes(Node node) { if (node == null ) { return (0); } return (1 + countNodes(node.left) + countNodes(node.right)); } TNode.prototype.isFull = function(var node, var index, var countNodes) { // An empty tree is complete if (node == null ) return true ; // If index assigned to current node is more than // number of nodes in tree, then tree is not complete if (index >= number_nodes) return false ; // Recur for left and right subtrees return (isComplete(node.left, 2 * index + 1, number_nodes) && isComplete(node.right, 2 * index + 2, number_nodes)); } TNode.prototype.isLeaf = function(var node, var index) { if(node == null) return false; if(node.left == null && node.right == null) return true; isLeaf(node.left); isLeaf(node.right); } .

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using the concepts of bonding and polarity explaining the importance of reactions . Solution Types of bonding 1. Ionic bonding : by sharing of two opposite charge eg.NaCl 2. Covalent bonding: by sharing of valence electrons eg. C-C 3.metalic bonding: it\'s a force of attraction between metal and electrons. bonding in metals like Cu, Al, Ag Polarity concept in bonding is molecules contain polar atoms just like in Water Water has one O and two H atoms and it forms polar bonding +Ve charge on H atom while -ve charge on O atom The concept of bonding and polarity in reaction In reaction if bonds are polar it will get break easily if it\'s non polar it\'s hard to break it\'s required high temperature or vigorous condition to Carry forward reactions. Most of the time in reaction covalent bonding is useed In that single bond is singma bonds are stronger than double bond i.e. pi bonds. Pi bonds breaker easily than the sigma bond. .

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Using the competing values framework as a point of reference, how would you describe Verizon\'s current organizational culture? Provide examples to support your conclusions. Solution According to Schein (1992), [3] culture is the most difficult organizational attribute to change, outlasting organizational products, services, founders and leadership and all other physical attributes of the organization. His organizational model illuminates culture from the standpoint of the observer, described by three cognitive levels of organizational culture. At the first and most cursory level of Schein\'s model is organizational attributes that can be seen, felt and heard by the uninitiated observer - collectively known as artifacts . Included are the facilities, offices, furnishings, visible awards and recognition, the way that its members dress, how each person visibly interacts with each other and with organizational outsiders, and even company slogans, mission statements and other operational creeds. Artifacts comprise the physical components of the organization that relay cultural meaning. Daniel Denison (1990) describes artifacts as the tangible aspects of culture shared by members of an organization. Verbal, behavioral and physical artifacts are the surface manifestations of organizational culture. Rituals, the collective interpersonal behavior and values as demonstrated by that behavior, constitute the fabric of an organization\'s culture The contents of myths, stories, and sagas reveal the history of an organization and influence how people understand what their organization values and believes. Language, stories, and myths are examples of verbal artifacts and are represented in rituals and ceremonies. Technology and art exhibited by members or an organization are examples of physical artifacts. The next level deals with the professed culture of an organization\'s members - the values . Shared values are individuals .

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Using jsfiddle.net In Javascript we are going to create a doubly Linked List. If you know your object oriented code this will be relatively straightforward. Your List will be made up of Nodes. You will make a List consisting of 5 nodes. You will also create a print function for the chain that will print the nodes in order. You will need to create some functions to support this functionality. Each node will have the following properties; id - A simple id for the node itself, content - A value (String) next - A pointer to the next node in the List (null for the last node). last - A pointer to the previous node in the List Your List will have the following properties; head - Pointer to the first node in the list Length - Number of nodes in the list Solution Answer:) .

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Using Haskell, I need: -- | Produce a list where sequences of repeated elements in the given list are replaced by just one of the repeated element. Where the result of the following compress statement >>> compress [1,1,1,2,3,3,3,1,2,2,2,2] results in: -- [1,2,3,1,2] Solution Look the simple logic which we can apply to this problem is to find the repeating element in the list unitl we didnt get the next distinct element Once we get that element we stop comparing and stroes the index of that distinct element and will add the repeating element (the element on which we wereworking beforing getting the element) to the new compressed list For example list [1,1,1,1,2,2,3,3] we wnt to compress the list start with first element ie 1 and keep itrerating until we get 2 once we traversed to this element we stop traversing stores the index of element 2 now we will add 1 in compressed list and will do the same with rest of the elements in the list now next repeating element search will starts from the index whih we saves by getting the dinsctint element .

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Using Java: Windows on the desktop are just one of many objects used in a graphical user interface (GUI)-- buttons, drop-down list boxes, pop-up menus, are just some of the many others. Regardless of their particular appearance, tasks, and structure, all such GUI components share some common functionality-- which is handled in a manner unique to the actual component . Define an interface, GUIComponent, with the following methods : onClick-- void-returning and accepts a single integerÂ Â parameter onCursorFocus -- void-returning and accepts a single integerÂ Â parameter move -- 3 overloaded methods : all boolean -returning; one accepts a pair of integerÂ Â parameters ; the second a single parameter of type Position; the third a single parameter of type Dimension resize-- boolean -returning and accepts a pair of integerÂ Â parameters. Solution interface GUIComponent { // onClick-- void-returning and accepts a single integer parameter public void onClick(int x); public void onCursorFocus(); // onCursorFocus -- void-returning and accepts a single integer parameter public void onCursorFocus(int number1); // move -- 3 overloaded methods : all boolean -returning; one accepts a pair of integer parameters ; // the second a single parameter of type Position; // the third a single parameter of type Dimension public abstract boolean move(int number1, int number2); public abstract boolean move(Position position); public abstract boolean move(Dimension dimension); // resize-- boolean -returning and accepts a pair of integer parameters. public abstract boolean resize(int number1, int number2); // resize-- boolean -returning and accepts single parameter of type Dimension. public abstract boolean resize(Dimension dimension); } /* Defining an interface, GUIComponent */ .

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Using examples describe five major reasons for segregation of duties within an information technology department of an organization Using examples describe five major reasons for segregation of duties within an information technology department of an organization Solution Tasks of IT department is to provide communication and colloboration among various departments of the organizaton. Reasons: 1. To reduce fraud and error: By including a group of people in financial issues like project budget etc.,we can eliminate fraud . 2. To achieve data security: When multiple data resources are distributed among developers to use in development process we can achieve data security. 3. Reducing more power to an individual: By distributing leading tasks among group of people , we can distribute power to different individuals. 4. To improve efficiency : By distributing various modules among different people , improves the efficiency of modules. 5.To reach deadlines: By distributing various system development processes among various persons will help to reach project schedules. .

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Using Java. Evaluate the expression. Be sure to list a value of appropriate type (e.g., 7.0 rather than 7 for a double, Strings in quotes). Solution import java.util.*; import java.lang.*; import java.io.*; /* Name of the class has to be \"Main\" only if the class is public. */ class Ideone { public static void main (String[] args) throws java.lang.Exception { System.out.println(9 19 / 2 / 2.0 + 2.5 * 6 / 2 + 0.5 * 4); } } Output: .

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Using Java, code a dynamic Linear Quotient Hashing data structure that outputs the search length, current loading factor, pseudo loading factor, and current density after any of the 4 basic operations (fetch, delete, update, insert) are used. Solution import java.util.*; class Dynamic { ArrayList<Integer> arr; HashMap<Integer, Integer> hash; public MyDS() { arr = new ArrayList<Integer>(); hash = new HashMap<Integer, Integer>(); } void add(int x) { if (hash.get(x) != null) return; int s = arr.size(); arr.add(x); hash.put(x, s); } void remove(int x) { Integer index = hash.get(x); if (index == null) return; hash.remove(x); int size = arr.size(); Integer last = arr.get(size-1); Collections.swap(arr, index, size-1); arr.remove(size-1); hash.put(last, index); } int getRandom() { Random rand = new Random(); int index = rand.nextInt(arr.size()); return arr.get(index); } Integer search(int x) { return hash.get(x); } } class Main { public static void main (String[] args) { Dynamic ds = new Dynamic(); ds.add(10); ds.add(20); ds.add(30); ds.add(40); System.out.println(ds.search(30)); ds.remove(20); ds.add(50); System.out.println(ds.search(50)); System.out.println(ds.getRandom()); } } .

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using C++ to Write a program to demonstrate an array of 10 elements and change the values of array into a reverse order and display. And try to reverse array of unfixed amount of elements. Solution Solution.cpp // Iterative C program to reverse an array #include<iostream> using namespace std; /* Function to reverse arr[] from start to end*/ void revArray(int arr[]) {//function defintion of reverse array int temp,j=9,i=0; while (i <j) { temp = arr[i]; arr[i] = arr[j]; arr[j] = temp; i++; j--; } } void DisplayArray(int arr[10]) {//function defintion int i; for (i=0; i < 10; i++) cout<<arr[i]<<\" \"; cout<<\"\ \"; } /* Driver function */ int main() {//main function int arr[] = {1, 2, 3, 4, 5, 6,7,8,9,10}; cout<<\"Display Array is\"<<endl; DisplayArray(arr);//calling function revArray(arr); printf(\"Reversed array is \ \"); DisplayArray(arr);Â Â Â //calling function return 0; } output Display Array is Â Â 1 2 3 4 5 6 7 8 9 10 Reversed array is 10 9 8 7 6 5 4 3 2 1 .

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Using complete sentences, briefly answer the following: A) Accurately describe the procedural steps for partitioning 2-propanol from 70% rubbing alcohol. B) What is the name and the advantage of this technique? C) Briefly explain how it works? Solution A) Isopropyl alcohol or 2-propanol is miscible in water but is immiscible in salt solutions.It forms distinct layer when salt like sodium chloride is added to its mixture with water (70 % 2-propanol+30% water) and separates from the aqueous layer. B) This technique is called salting out. C) Using this technique,liquids can be separated from their azeotropic mixtures using separating funnel.2-propanol dissolves in water by forming hydrogen bonds (partially miscible in water forming azeotrope).Salt being polar dissolves in polar aqueous medium but not in non-polar organic medium of 2-propanol.Thus, hydrogen bonds between 2-propanol and water is broken,rather salt ions form stronger polar electrostatic bonds with water molecules.The two liquids thus ,separates forming two distinct layers. The liquids forming two distinct layers ,one organic(2-propanol) and one aqueous layer can be seprated by draining out the liquid forming lower layer (less dense liquid 2-propanol). .

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Using a practical example, what are the benefits and potential problems associated with conflict? What is negotiation? What are the common negotiation pitfalls? What are the strategies to overcome them? Solution Social conflict is a struggle between opponents over values and claims to scarce status, power and resources. (Lewis Coser, The Functions of Social Conflict , 1956) Conflicts that are strategic are essentially bargaining situations in which the ability of one participant to gain his ends is dependent on the choices or decisions that the other participant will make.Â Â Â (Thomas Schelling, The Strategy of Conflict , 1960) t A conflict exists whenever incompatible activities occur . . . one party is interfering, disrupting, obstructing, or in some other way making another party .

Using a practical example- what are the benefits and potential problem.docx

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User Interface Engneering A company is designing a kiosk that can display weather information in public locations. The kiosk will feature a touch screen so users can select a city by pointing on a map. Give three reasons why a touch screen is an effective device for this application. Solution Kiosk is a small open-fronted hut or cubicle which provides access to information and applications for communication, commerce, entertainment etc. A touch screen effective for the implementation of kiosk for weather information -> User friendly interface - A system with keyboard and mouse is difficult to implement, maintain(ex: dirt and dust between keys) and use,but incase of touch screen hardware is very consistant and common people can easily interact. -->Speed/Time saving - Speed of request processing is high and different kind of information can be easily assessd.Different kinds of requests with different locations have to be processed -->Space saving - In design, a lot of flexibilty is there,display and input space are interated.In weather information hue amount of data have to be maintained and managed .

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