Trees and Graphs Pat Hanrahan Tree Drawing Page 1 Why Trees? Hierarchies File systems and web sites Organization charts Categorical classifications Similiarity and clustering Branching processes Genealogy and lineages Phylogenetic trees Decision processes Indices or search trees Decision trees Tournaments Two Major Visual Representations Connection: Node / Link Diagrams Containment / Enclosure F6 G6 H6 J36 U8 B10 C30 L7 M7 V12 O4 P4 Q4 R4 S4 T4 W8 Page
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40 70 Graph: [10 points] Create a graph of your data for this part of the lab. You may use any graphing tool to create the graph‚ but be sure to follow common guidelines for creating a graph. INSERT GRAPH HERE Conclusion: Answer the following questions after completing the lab. 1) Describe the relationship that you observed between pressure and volume in this lab. Refer to your data and/or graph to help support your answer. [5 points] By the information displayed in the graph‚ it shows
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Functions and Their Graphs Introduction to Relations Domain and Range of a Relation Any set of ordered pairs (x‚y) is called a relation in x and y. Furthermore‚ The set of first components in the ordered pairs is called the domain of the relation. The set of second components in the ordered pairs is called the range of the relation. Definition of Function and Vertical Line Test Definition of a Function Given a relation in x and y‚ we say “y is a function of x” if for every element x in the domain
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TRAVEL GRAPH JULIANE AUTUMN DAMASCO IV-ST.JOHN BOSCO Dylan needs to visit his Grandparent’s house because it’s his Grandmother’s birthday. Since Dylan is used to commute‚ he traveled there riding public vehicles. He left the house at 8:00 am‚ he walked from his house to the Jeepney Station to ride a Jeepney going to Cubao. When he arrived at the Jeepney Station he‚ rode a Jeepney going to Cubao. He arrived at a Tricycle Station in Cubao and he left there riding a
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des Mines de Nantes Master MOST 2012-2013 Olivier Péton - 1- Problem Min f ( x ) xS An optimization problem S is the solution set that represents all feasible solutions of a problem. f is the objective function that maps S to R. It evaluates each feasible solution. Also called evaluation function or cost function Minimization = maximization ! max f ( x) min ( f ( x)) xS xS - 2- Mathematical modeling 1. Decision Variables x1‚…‚xn A solution = a value
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“Online Distance Mode of Learning” Edited / Authored By: Dr. K. RAVICHANDRAN1M.B.A.‚Ph.D. Professor & HEAD Department of Entrepreneurship Studies Madurai Kamaraj University MADURAI – 625 021 Mobile:+ 91 – 93 60 50 54 43 Email:ravimba_mku@yahoo.co.in (or) ravimba.mku@gmail.com Co-Authored By: VENKATA SUBRAHMANYAM C.V.M.B.A.‚ M.Phil.‚ (Ph.D.) Research Scholar Department of Entrepreneurship Studies Madurai Kamaraj University MADURAI – 625 021 Mobile: + 91 – 96 553 – 83 745 Email:
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the unemployment rate in Germany compared to the unemployment rate in Ireland. The y-axis shows the rate of unemployment which is defined by the number of unemployed persons as a percentage of the labor force. On the x-axis you can read the year. In 2000‚ 8 per cent of the German workforce was unemployed‚ which was twice as high as Ireland. Unemployment in Germany declined slightly in 2001. However‚ after this the unemployment rate rose steadily over the next four years‚ to peak at almost 11 per
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------------------------------------------------- ------------------------------------------------- Speed Speed is defined as a measure of the distance an object travels in a given length of time. The average speed of an object can be determined from the equation below: Thus‚ if a car travels 100 meters in 5 seconds its average speed can be calculated as; Average speed = 100/5 = 20 meters per second Average speed is used to give the speed of an object over a given interval of time‚ if
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learning objectives linked to syllabus Course programme: Awarding Body: Level 3 Award in Preparing to Teach in the Lifelong Learning Edexcel Teaching and learning strategies Materials/resources/ learning technology DISTANCE LEARNING/ On-line tutorial Health and Safety at Work Act 1974 Opportunities to embed key/basic skills Assessment (internal/external) UNIT 1 Summarise key aspects of legislation‚ regulatory requirements and codes of practice relating to
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Graphs‚ Groups and Surfaces 1 Introduction In this paper‚ we will discuss the interactions among graphs‚ groups and surfaces. For any given graph‚ we know that there is an automorphism group associated with it. On the other hand‚ for any group‚ we could associate with it a graph representation‚ namely a Cayley graph of presentations of the group. We will first describe such a correspondence. Also‚ a graph is always embeddable in some surface. So we will then focus on properties of graphs
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