A resistor R and a capacitor with a reactance of 40 Ohm in a series with a 120 volts RMS source. If the Rms current in this circuit is 2.4 Amps, what is R ? 1) 30 ohm 2) 40 ohm 3) 50 Ohm 4) 90 Ohm 5) 1600 ohm.

A resistor R and a capacitor with a reactance of 40 Ohm in a series with a 120 volts RMS source. If the Rms current in this circuit is 2.4 Amps, what is R ? 1) 30 ohm 2) 40 ohm 3) 50 Ohm 4) 90 Ohm 5) 1600 ohm.

Construct a 2-4 page paper that fully explores each of the following areas: 1) Citing our textbook material, explain how the sociological approach toward social problems differs from other approaches. Why are certain problems considered significant and others are not? 2) Next, choose one social problem that exists in society that you think is particularly serious, and explain it in sociological terms. This social problem should be measurable in some statistical way. (Is it increasing, and if so, how? Among which groups of people, and for how long, etc.?) 3) What might be one important way in which the social problem is currently being addressed in society? 4) Please define and identify at least four concepts from our text relevant to your chosen social problem. 5) Analyze the way in which these concepts help us better understand the nature of the social problem you are discussing. Don’t forget to include proper APA-style citation and reference. Need inside citing for each paragraph and NO PLAGIARISM.. Everything should come from the book “Social Problems: Community, Policy, and Social Action, 4th Edition” By:Anna Leon-Guerrero

Construct a 2-4 page paper that fully explores each of the following areas: 1) Citing our textbook material, explain how the sociological approach toward social problems differs from other approaches. Why are certain problems considered significant and others are not? 2) Next, choose one social problem that exists in society that you think is particularly serious, and explain it in sociological terms. This social problem should be measurable in some statistical way. (Is it increasing, and if so, how? Among which groups of people, and for how long, etc.?) 3) What might be one important way in which the social problem is currently being addressed in society? 4) Please define and identify at least four concepts from our text relevant to your chosen social problem. 5) Analyze the way in which these concepts help us better understand the nature of the social problem you are discussing. Don’t forget to include proper APA-style citation and reference. Need inside citing for each paragraph and NO PLAGIARISM.. Everything should come from the book “Social Problems: Community, Policy, and Social Action, 4th Edition” By:Anna Leon-Guerrero

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Project Four: Revisiting English 1010 (Literacy, Language, and Culture: An Exploration of the African American Experience) The MultiMedia Reflective Portfolio Project Overview This project will provide us with the opportunity to use a combination of textual, digital, and oral tools to: 1) reflect on and display what we have learned about African American literacy, language, and culture; and 2) reflect on and display what we have learned about the process of composing a literacy narrative, informative summary, media analysis, and multimedia reflective portfolio project. Ultimately, this project will provide us with the opportunity to use multimedia tools and applications to reflect on and display our experience as knowledge users and knowledge makers in this course (specifically as it relates to the English 1010 Learning Outcomes). ___________________________________________________________________ Introduction/Rationale/Assignment Prompt: This reflective assignment, which is the last major assignment of the semester, consists of two parts: Part One Part One consists of a 2-3 page reflective essay in which you reflect on and display: (1) what you learned about African American literacy, language, and culture; and (2) what you learned about the process of composing a literacy narrative, informative summary, media analysis, and multimedia reflective portfolio project–specifically as the process relates to the Learning Outcomes (Reading, Writing, Reflection, and Technology Use). To do so, you must look back over the work you produced during the semester in order to locate and discuss your learning and accomplishments in these areas. While your discussion of achievements with respect to ENG 1010 Learning Outcomes is perhaps the most important goal in the Reflective Essay, the written expression of these achievements can be strengthened when it is integrated into a broader narrative that describes where you are coming from and who you are as a student. In this narrative, you may discuss, for example, how you learned and used various reading strategies in the course, or you may describe, for example, how your ability to use composition and course management technologies, like Word and Blackboard, increased. You may also address, as appropriate, how your culture, identity, or background shaped your experiences as a student in ENG 1010. You may wish to discuss, for example, some of the following issues. • Transition to college and the larger first-year experience • Negotiation of a new identity as college student (how you adjusted; how you handled it) • Membership in groups historically underrepresented in college • Language diversity • Managing life circumstances to be able to give enough time and energy to academic work In sum, the Reflective Essay should make claims about your learning and accomplishments with respect to the two areas identified above. Essentially, the reflective essay should demonstrate what you have learned and what you can do as a result of your work in ENG 1010. In this way, a successful Reflective Essay will inspire confidence that you are prepared to move forward into your next composition courses, beginning with ENG 1020, and into the larger academic discourse community. Part Two Part Two consists of an electronic multimedia portfolio containing 3-5 selected pieces of the work you produced this semester (essay topic proposals, reading responses, essay outlines, essay first or final drafts, in-class assignments, etc.) that you can use as evidence of your learning and accomplishments and to support the claims you made in your reflective essay. ___________________________________________________________________ English 1010 Learning Outcomes Reading ● Develop reading strategies to explain, paraphrase, and summarize college-level material. ● Analyze college-level material to identify evidence that supports broader claims. Writing ● Plan and compose a well-organized thesis-driven text that engages with college-level material and is supported by relevant and sufficient evidence. ● Develop a flexible revision process that incorporates feedback to rewrite multiple drafts of a text for clarity (e.g. argument, organization, support, and audience awareness). Reflection ● Use reflective writing to evaluate and revise writing processes and drafts ● Use reflective writing to assess and articulate skill development in relation to course learning outcomes. Technology Use ● Navigate institutional web-based interfaces, such as course websites, university email, and Blackboard Learn™, to find, access and submit course material. ● Use computer-based composition technologies, including word processing software (e.g. Microsoft Word, PowerPoint), to compose college-level texts. ● Use computer-based composition technologies to read and annotate course readings and texts authored by students (e.g. peer review). Your Final Draft Should: • meet the requirements as outlined in the “Introduction/Rationale/Assignment Prompt” section above. Points for This Project • First Draft: 20 Points • Final Draft: 130 Points • Oral Presentation: 30 Points Refer to the Course Schedule (Syllabus) for Assignment Due Dates. _______________________________________________________________ Evaluation: You will be evaluated based on content, organization, and mechanics.

Project Four: Revisiting English 1010 (Literacy, Language, and Culture: An Exploration of the African American Experience) The MultiMedia Reflective Portfolio Project Overview This project will provide us with the opportunity to use a combination of textual, digital, and oral tools to: 1) reflect on and display what we have learned about African American literacy, language, and culture; and 2) reflect on and display what we have learned about the process of composing a literacy narrative, informative summary, media analysis, and multimedia reflective portfolio project. Ultimately, this project will provide us with the opportunity to use multimedia tools and applications to reflect on and display our experience as knowledge users and knowledge makers in this course (specifically as it relates to the English 1010 Learning Outcomes). ___________________________________________________________________ Introduction/Rationale/Assignment Prompt: This reflective assignment, which is the last major assignment of the semester, consists of two parts: Part One Part One consists of a 2-3 page reflective essay in which you reflect on and display: (1) what you learned about African American literacy, language, and culture; and (2) what you learned about the process of composing a literacy narrative, informative summary, media analysis, and multimedia reflective portfolio project–specifically as the process relates to the Learning Outcomes (Reading, Writing, Reflection, and Technology Use). To do so, you must look back over the work you produced during the semester in order to locate and discuss your learning and accomplishments in these areas. While your discussion of achievements with respect to ENG 1010 Learning Outcomes is perhaps the most important goal in the Reflective Essay, the written expression of these achievements can be strengthened when it is integrated into a broader narrative that describes where you are coming from and who you are as a student. In this narrative, you may discuss, for example, how you learned and used various reading strategies in the course, or you may describe, for example, how your ability to use composition and course management technologies, like Word and Blackboard, increased. You may also address, as appropriate, how your culture, identity, or background shaped your experiences as a student in ENG 1010. You may wish to discuss, for example, some of the following issues. • Transition to college and the larger first-year experience • Negotiation of a new identity as college student (how you adjusted; how you handled it) • Membership in groups historically underrepresented in college • Language diversity • Managing life circumstances to be able to give enough time and energy to academic work In sum, the Reflective Essay should make claims about your learning and accomplishments with respect to the two areas identified above. Essentially, the reflective essay should demonstrate what you have learned and what you can do as a result of your work in ENG 1010. In this way, a successful Reflective Essay will inspire confidence that you are prepared to move forward into your next composition courses, beginning with ENG 1020, and into the larger academic discourse community. Part Two Part Two consists of an electronic multimedia portfolio containing 3-5 selected pieces of the work you produced this semester (essay topic proposals, reading responses, essay outlines, essay first or final drafts, in-class assignments, etc.) that you can use as evidence of your learning and accomplishments and to support the claims you made in your reflective essay. ___________________________________________________________________ English 1010 Learning Outcomes Reading ● Develop reading strategies to explain, paraphrase, and summarize college-level material. ● Analyze college-level material to identify evidence that supports broader claims. Writing ● Plan and compose a well-organized thesis-driven text that engages with college-level material and is supported by relevant and sufficient evidence. ● Develop a flexible revision process that incorporates feedback to rewrite multiple drafts of a text for clarity (e.g. argument, organization, support, and audience awareness). Reflection ● Use reflective writing to evaluate and revise writing processes and drafts ● Use reflective writing to assess and articulate skill development in relation to course learning outcomes. Technology Use ● Navigate institutional web-based interfaces, such as course websites, university email, and Blackboard Learn™, to find, access and submit course material. ● Use computer-based composition technologies, including word processing software (e.g. Microsoft Word, PowerPoint), to compose college-level texts. ● Use computer-based composition technologies to read and annotate course readings and texts authored by students (e.g. peer review). Your Final Draft Should: • meet the requirements as outlined in the “Introduction/Rationale/Assignment Prompt” section above. Points for This Project • First Draft: 20 Points • Final Draft: 130 Points • Oral Presentation: 30 Points Refer to the Course Schedule (Syllabus) for Assignment Due Dates. _______________________________________________________________ Evaluation: You will be evaluated based on content, organization, and mechanics.

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Linkage analysis: The linkage shown below is the kinematic sketch for the rear suspension of a motorcycle. The dimensions are given in the drawing; consider BC = 2” along the AB direction for the given configuration. For the analysis, assume that the angular velocity of the input link (link 2) is constant and operating in the CW direction (corresponding to the motorcycle going over a bump). a. Calculate the mobility of the linkage. How many loop equations are needed to solve for the dependent joint variables? b. Formulate the loop equations. c. Solve the loop equations and give explicit expressions for the dependent variables as a function of the input angle ?. d. Compute the limits for the input angle ?. Is the linkage going to work as expected? (is the range of motion of ? enough?) e. Write the position vector of point C. Use Maple, GIM or similar software to plot the trajectory of point C over the range of ? calculated in d). f. Use Maple or similar software to plot ? and s as a function of ?. g. Use GIM to create a simulation for the motion of the linkage. Provide a snapshot. h. Compute the velocity vector for point C. Give the value of the velocity for the configuration shown in the kinematic sketch (? = 200o), for an input angular velocity of 200 rpm. i. Compute the velocity s of the slider. Plot this velocity as a function of ? for a constant input angular velocity of 200rpm. j. Plot the acceleration of the slide, s, as a function of ?, for the same constant input angular velocity

Linkage analysis: The linkage shown below is the kinematic sketch for the rear suspension of a motorcycle. The dimensions are given in the drawing; consider BC = 2” along the AB direction for the given configuration. For the analysis, assume that the angular velocity of the input link (link 2) is constant and operating in the CW direction (corresponding to the motorcycle going over a bump). a. Calculate the mobility of the linkage. How many loop equations are needed to solve for the dependent joint variables? b. Formulate the loop equations. c. Solve the loop equations and give explicit expressions for the dependent variables as a function of the input angle ?. d. Compute the limits for the input angle ?. Is the linkage going to work as expected? (is the range of motion of ? enough?) e. Write the position vector of point C. Use Maple, GIM or similar software to plot the trajectory of point C over the range of ? calculated in d). f. Use Maple or similar software to plot ? and s as a function of ?. g. Use GIM to create a simulation for the motion of the linkage. Provide a snapshot. h. Compute the velocity vector for point C. Give the value of the velocity for the configuration shown in the kinematic sketch (? = 200o), for an input angular velocity of 200 rpm. i. Compute the velocity s of the slider. Plot this velocity as a function of ? for a constant input angular velocity of 200rpm. j. Plot the acceleration of the slide, s, as a function of ?, for the same constant input angular velocity

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Speech of Introduction Example Outline I. Introduction A. Acknowledge Audience: Good morning/afternoon alumni, faculty, students and friends of Troy University. B. Acknowledge Occasion: Welcome to Troy University’s WWII Symposium C. Attention getter: (title, accomplishment, quote, joke, adjectives, etc.) I’m proud to introduce a man who is fondly referred to as the “Walking Encyclopedia of Film” D. Thesis: I’d like to introduce the fascinating Dr. Jim Vickrey E. Preview: We’ll examine his multi-dimensional career and his love of the big screen. (Note: Preview and main points in the body should match in number and sequence.) II. Body A. Career 1. Previous Chair of the Department of Speech & Theatre- Troy 2. Current Professor of Communication Studies- Troy/Montgomery 3. Lawyer 4. Mediator 5. Radio Commentator 6. Speaker & Writer Transition: (Statement to smoothly move you from point to point). Now that we’ve discussed his multi-dimensional career, let’s his love of the big screen. ***B. Film 1. Number of films- over 5,000 2. Radio talk show a. Film reviewer b. Film critic Note: One of your main points should make your speaker credible to talk about his/her topic. Dr. Vickrey is credible to talk about WWII films, because he has his own radio talk show where he critiques and reviews film. Do not make your person credible by stating that they are majoring in the topic or taking classes. They could be straight “F” students for all we know. Use experience, awards, honors, etc. to build credibility. III. Conclusion A. Cue: In conclusion . . . B. Review: Now that you have some idea of the multi-talents and multi-career interests of our distinguished speaker. C. Welcome/Topic: Please help me welcome Dr. Jim Vickrey addressing American Film & WWII.

Speech of Introduction Example Outline I. Introduction A. Acknowledge Audience: Good morning/afternoon alumni, faculty, students and friends of Troy University. B. Acknowledge Occasion: Welcome to Troy University’s WWII Symposium C. Attention getter: (title, accomplishment, quote, joke, adjectives, etc.) I’m proud to introduce a man who is fondly referred to as the “Walking Encyclopedia of Film” D. Thesis: I’d like to introduce the fascinating Dr. Jim Vickrey E. Preview: We’ll examine his multi-dimensional career and his love of the big screen. (Note: Preview and main points in the body should match in number and sequence.) II. Body A. Career 1. Previous Chair of the Department of Speech & Theatre- Troy 2. Current Professor of Communication Studies- Troy/Montgomery 3. Lawyer 4. Mediator 5. Radio Commentator 6. Speaker & Writer Transition: (Statement to smoothly move you from point to point). Now that we’ve discussed his multi-dimensional career, let’s his love of the big screen. ***B. Film 1. Number of films- over 5,000 2. Radio talk show a. Film reviewer b. Film critic Note: One of your main points should make your speaker credible to talk about his/her topic. Dr. Vickrey is credible to talk about WWII films, because he has his own radio talk show where he critiques and reviews film. Do not make your person credible by stating that they are majoring in the topic or taking classes. They could be straight “F” students for all we know. Use experience, awards, honors, etc. to build credibility. III. Conclusion A. Cue: In conclusion . . . B. Review: Now that you have some idea of the multi-talents and multi-career interests of our distinguished speaker. C. Welcome/Topic: Please help me welcome Dr. Jim Vickrey addressing American Film & WWII.

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Questions from Ishmael, Part 1 Type your answers to the following questions: 1. How do animals typically react to life in a zoo, according to Ishmael? And how, as a young gorilla, did zoo life affect him personally? 2. What does Ishmael mean by “Takers” and “Leavers?” Do these terms have any connotations to you (and if so, describe them), or do you see them as neutral? 3. Describe our culture’s origin myth, according to Ishmael. 4. After the events described in our culture’s origin myth, what was the next major event in human history that is essential in describing “how things came to be this way.” In the book it’s called “the middle of the story.” Describe this event, detailing what it meant for humankind. 5. According to Ishmael, how do Takers envision the role of humans “in the divine scheme?” What is humankind’s purpose? How has this perspective affected human/nature relationships? 6. According to Ishmael, how do most Takers envision the future of humanity? As part of your answer, describe how most Takers say we should deal with problems such as energy shortages and pollution. 7. What is Daniel Quinn trying to get you to perceive about the state of our culture’s relationship with nature? How does his story-telling approach affect your perception about environmental issues? To what extent is his approach successful, and why?

Questions from Ishmael, Part 1 Type your answers to the following questions: 1. How do animals typically react to life in a zoo, according to Ishmael? And how, as a young gorilla, did zoo life affect him personally? 2. What does Ishmael mean by “Takers” and “Leavers?” Do these terms have any connotations to you (and if so, describe them), or do you see them as neutral? 3. Describe our culture’s origin myth, according to Ishmael. 4. After the events described in our culture’s origin myth, what was the next major event in human history that is essential in describing “how things came to be this way.” In the book it’s called “the middle of the story.” Describe this event, detailing what it meant for humankind. 5. According to Ishmael, how do Takers envision the role of humans “in the divine scheme?” What is humankind’s purpose? How has this perspective affected human/nature relationships? 6. According to Ishmael, how do most Takers envision the future of humanity? As part of your answer, describe how most Takers say we should deal with problems such as energy shortages and pollution. 7. What is Daniel Quinn trying to get you to perceive about the state of our culture’s relationship with nature? How does his story-telling approach affect your perception about environmental issues? To what extent is his approach successful, and why?

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Use nodal analysis to find V1 in the circuit given that I1 = 8mA; I2 = 6mA;R1 = 2kW;R2 = 8kW; R3 = 4kW and R4 = 8kW:Note: since there are no voltage sources, the bottom node is chosen as the reference because it has the most number of elements connected to it. Fill in the values for the two nodal analysis equations using the convention that positive current in an independent current source is defined as entering the node and positive current in the resistor is defined as leaving the node. The nodal analysis equation at node 1: V1 + V2 = The nodal analysis equation at node 2: V1 + V2 = Now solve for V1 = V

Use nodal analysis to find V1 in the circuit given that I1 = 8mA; I2 = 6mA;R1 = 2kW;R2 = 8kW; R3 = 4kW and R4 = 8kW:Note: since there are no voltage sources, the bottom node is chosen as the reference because it has the most number of elements connected to it. Fill in the values for the two nodal analysis equations using the convention that positive current in an independent current source is defined as entering the node and positive current in the resistor is defined as leaving the node. The nodal analysis equation at node 1: V1 + V2 = The nodal analysis equation at node 2: V1 + V2 = Now solve for V1 = V

Correct Answers:  0.000625  -0.000125  -0.008  -0.000125 … Read More...
Lab 5 Math 551 Fall 2015 Goal: In this assignment we will look at two fractals, namely the Sierpinski fractal and the Barnsley Fern. During the lab session, your lab instructor will teach you the necessary MATLAB code to complete the assignment, which will be discussed in the lab on Thursday October 8th or Friday October 9th in the lab (CW 144 or CW 145). What you have to submit: An m- le containing all of the commands necessary to perform all the tasks described below. Submit this le on Canvas. Click: \Assignments”, click \MATLAB Project 5″, click \Submit Assignment”, then upload your .m le and click \Submit Assignment” again. Due date: Friday October 16, 5pm. No late submission will be accepted. TASKS A fractal can be de ned as a self-similar detailed pattern repeating itself. Some of the most well know fractals (the Mandelbrot set and Julia set) can be viewed here: http://classes.yale.edu/fractals/ The Sierpinski Fractal The program srnpnski(m,dist,n) gets its name from the mathematician W. Sierpinski. The only parameter that must be speci ed is m which determines the number of vertices that will be part of a regular polygon. For larger m it produces a graph which is similar to a snow ake. The program starts with a randomly chosen seed position given by the internal variable s. At each stage one of the vertices is chosen at random and a new point is produced which is dist away from the old point to the vertex. The value of dist should be between 0 and 1. The default value is 0.5. This process is repeated n times. The default value of n is 1500. 1. Create a new Matlab function: func t i on s rpns k i (m, di s t , n) %This c r e a t e s a snowf lake from m v e r t i c e s us ing n i t e r a t i o n s . i f nargin <3, n=1500; end i f nargin <2, d i s t =0.5; end c l f a x i s ( [ ?1 ,1 , ?1 ,1] ) p=exp (2 pi  i  ( 1 :m)/m) ; pl o t (p , '  ' ) hold s=rand+i  rand ; f o r j =1:n r=c e i l (m rand ) ; s=d i s t  s+(1?d i s t )p( r ) ; pl o t ( s , ' . ' ) end 2. Try out the following commands s rpns k i ( 3 ) s rpns k i ( 3 , 0 . 5 , 2 5 0 0 ) s rpns k i ( 3 , 0 . 5 , 5 0 0 0 ) s rpns k i ( 3 , 0 . 4 ) 1 s rpns k i ( 3 , 0 . 2 ) s rpns k i ( 5 ) s rpns k i ( 5 , 0 . 4 ) s rpns k i ( 5 , 0 . 3 ) s rpns k i ( 6 , 0 . 3 ) s rpns k i ( 8 , 0 . 3 , 5 0 0 0 ) The Barnsley Fern The following program is the famous Barnsley Fern. The only external parameter is n, the number of iterations. 3. Create a new Matlab function: func t i on f e r n (n) A1=[ 0 . 8 5 , 0 . 0 4 ; ?0 . 0 4 , 0 . 8 5 ] ; A2=[ ?0 . 1 5 , 0 . 2 8 ; 0 . 2 6 , 0 . 2 4 ] ; A3=[ 0 . 2 , ?0 . 2 6 ; 0 . 2 3 , 0 . 2 2 ] ; A4=[ 0 , 0 ; 0 , 0 . 1 6 ] ; T1=[ 0 ; 1 . 6 ] ; T2=[ 0 ; 0 . 4 4 ] ; T3=[ 0 ; 1 . 6 ] ; T4=[ 0 , 0 ] ; P1=0.85; P2=0.07; P3=0.07; P4=0.01; c l f ; s=rand ( 2 , 1 ) ; pl o t ( s ( 1 ) , s ( 2 ) , ' . ' ) hold f o r j =1:n r=rand ; i f r<=P1 , s=A1 s+T1 ; e l s e i f r<=P1+P2 , s=A2 s+T2 ; e l s e i f r<=P1+P2+P3 , s=A3 s+T3 ; e l s e s=A4 s ; end pl o t ( s ( 1 ) , s ( 2 ) , ' . ' ) end 4. Try the following commands: f e r n (100) f e r n (500) f e r n (1000) f e r n (3000) f e r n (5000) f e r n (10000) 2 5. Change the parameters in the fern program: A1=[ 0 . 5 , 0 ; 0 , 0 . 5 ] ; A2=[ 0 . 5 , 0 ; 0 , 0 . 5 ] ; A3=[ 0 . 5 , 0 ; 0 , 0 . 5 ] ; T1=[ 1 ; 1 ] ; T2=[ 1 ; 5 0 ] ; T3=[ 5 0 ; 5 0 ] ; P1=0.33; P2=0.33; P3=0.34; Call the new program srptri.m. Try the command s r p t r i (5000) You should see a familiar looking result. 6. Change the parameters in the fern program: A1=[ 0 , 0 ; 0 , 0 . 5 ] ; A2=[ 0 . 4 2 , ?0 . 4 2 ; 0 . 4 2 , 0 . 4 2 ] ; A3=[ 0 . 4 2 , 0 . 4 2 ; ?0 . 4 2 , 0 . 4 2 ] ; A4=[ 0 . 1 , 0 ; 0 , 0 . 1 ] ; T1=[ 0 ; 0 ] ; T2=[ 0 ; 0 . 2 ] ; T3=[ 0 ; 0 . 2 ] ; T4=[ 0 , 0 . 2 ] ; P1=0.05; P2=0.4; P3=0.4; P4=0.15; Call the new program srptree.m. Try the command s r p t r e e (5000) This is an example of a fractal tree. Some nice animations of fractal trees can be seen here: http://classes.yale.edu/fractals/ MATLAB commands to learn: Cl f , c e i l , imaginary uni t I , i f . . e l s e i f . . e l s e . . end 3

Lab 5 Math 551 Fall 2015 Goal: In this assignment we will look at two fractals, namely the Sierpinski fractal and the Barnsley Fern. During the lab session, your lab instructor will teach you the necessary MATLAB code to complete the assignment, which will be discussed in the lab on Thursday October 8th or Friday October 9th in the lab (CW 144 or CW 145). What you have to submit: An m- le containing all of the commands necessary to perform all the tasks described below. Submit this le on Canvas. Click: \Assignments”, click \MATLAB Project 5″, click \Submit Assignment”, then upload your .m le and click \Submit Assignment” again. Due date: Friday October 16, 5pm. No late submission will be accepted. TASKS A fractal can be de ned as a self-similar detailed pattern repeating itself. Some of the most well know fractals (the Mandelbrot set and Julia set) can be viewed here: http://classes.yale.edu/fractals/ The Sierpinski Fractal The program srnpnski(m,dist,n) gets its name from the mathematician W. Sierpinski. The only parameter that must be speci ed is m which determines the number of vertices that will be part of a regular polygon. For larger m it produces a graph which is similar to a snow ake. The program starts with a randomly chosen seed position given by the internal variable s. At each stage one of the vertices is chosen at random and a new point is produced which is dist away from the old point to the vertex. The value of dist should be between 0 and 1. The default value is 0.5. This process is repeated n times. The default value of n is 1500. 1. Create a new Matlab function: func t i on s rpns k i (m, di s t , n) %This c r e a t e s a snowf lake from m v e r t i c e s us ing n i t e r a t i o n s . i f nargin <3, n=1500; end i f nargin <2, d i s t =0.5; end c l f a x i s ( [ ?1 ,1 , ?1 ,1] ) p=exp (2 pi  i  ( 1 :m)/m) ; pl o t (p , '  ' ) hold s=rand+i  rand ; f o r j =1:n r=c e i l (m rand ) ; s=d i s t  s+(1?d i s t )p( r ) ; pl o t ( s , ' . ' ) end 2. Try out the following commands s rpns k i ( 3 ) s rpns k i ( 3 , 0 . 5 , 2 5 0 0 ) s rpns k i ( 3 , 0 . 5 , 5 0 0 0 ) s rpns k i ( 3 , 0 . 4 ) 1 s rpns k i ( 3 , 0 . 2 ) s rpns k i ( 5 ) s rpns k i ( 5 , 0 . 4 ) s rpns k i ( 5 , 0 . 3 ) s rpns k i ( 6 , 0 . 3 ) s rpns k i ( 8 , 0 . 3 , 5 0 0 0 ) The Barnsley Fern The following program is the famous Barnsley Fern. The only external parameter is n, the number of iterations. 3. Create a new Matlab function: func t i on f e r n (n) A1=[ 0 . 8 5 , 0 . 0 4 ; ?0 . 0 4 , 0 . 8 5 ] ; A2=[ ?0 . 1 5 , 0 . 2 8 ; 0 . 2 6 , 0 . 2 4 ] ; A3=[ 0 . 2 , ?0 . 2 6 ; 0 . 2 3 , 0 . 2 2 ] ; A4=[ 0 , 0 ; 0 , 0 . 1 6 ] ; T1=[ 0 ; 1 . 6 ] ; T2=[ 0 ; 0 . 4 4 ] ; T3=[ 0 ; 1 . 6 ] ; T4=[ 0 , 0 ] ; P1=0.85; P2=0.07; P3=0.07; P4=0.01; c l f ; s=rand ( 2 , 1 ) ; pl o t ( s ( 1 ) , s ( 2 ) , ' . ' ) hold f o r j =1:n r=rand ; i f r<=P1 , s=A1 s+T1 ; e l s e i f r<=P1+P2 , s=A2 s+T2 ; e l s e i f r<=P1+P2+P3 , s=A3 s+T3 ; e l s e s=A4 s ; end pl o t ( s ( 1 ) , s ( 2 ) , ' . ' ) end 4. Try the following commands: f e r n (100) f e r n (500) f e r n (1000) f e r n (3000) f e r n (5000) f e r n (10000) 2 5. Change the parameters in the fern program: A1=[ 0 . 5 , 0 ; 0 , 0 . 5 ] ; A2=[ 0 . 5 , 0 ; 0 , 0 . 5 ] ; A3=[ 0 . 5 , 0 ; 0 , 0 . 5 ] ; T1=[ 1 ; 1 ] ; T2=[ 1 ; 5 0 ] ; T3=[ 5 0 ; 5 0 ] ; P1=0.33; P2=0.33; P3=0.34; Call the new program srptri.m. Try the command s r p t r i (5000) You should see a familiar looking result. 6. Change the parameters in the fern program: A1=[ 0 , 0 ; 0 , 0 . 5 ] ; A2=[ 0 . 4 2 , ?0 . 4 2 ; 0 . 4 2 , 0 . 4 2 ] ; A3=[ 0 . 4 2 , 0 . 4 2 ; ?0 . 4 2 , 0 . 4 2 ] ; A4=[ 0 . 1 , 0 ; 0 , 0 . 1 ] ; T1=[ 0 ; 0 ] ; T2=[ 0 ; 0 . 2 ] ; T3=[ 0 ; 0 . 2 ] ; T4=[ 0 , 0 . 2 ] ; P1=0.05; P2=0.4; P3=0.4; P4=0.15; Call the new program srptree.m. Try the command s r p t r e e (5000) This is an example of a fractal tree. Some nice animations of fractal trees can be seen here: http://classes.yale.edu/fractals/ MATLAB commands to learn: Cl f , c e i l , imaginary uni t I , i f . . e l s e i f . . e l s e . . end 3

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