Graphs - Introduction Terminology Graph ADT Data Structures Reading: 12.1-12.2 COSC 2011‚ Summer 2004 Definition • A graph is a pair (V‚ E)‚ where – V is a set of nodes‚ called vertices – E is a collection of pairs of vertices‚ called edges • Both are objects (i.e. store data) G E B F A Vertex city computer web page airport C D COSC 2011‚ Summer 2004 H Edge road cable hyperlink flight Example Applications • • • • • Electronic circuits – Printed circuit board – Integrated circuit Transportation
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1.2 Basics of 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
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In the 1700s‚ Thomas Malthus came up with the Malthusian Theory. In this theory he stated that the population growth would always place pressure on the ability of land and resources to support the population. Population is moving at a geometric progression‚ while land and resources moves at an arithmetic progression. Therefore the population is expanding at a more rapid pace than the land and resources that become available. It is becoming a serious problem to the world as time passes on and population
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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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Doreen Carranza HCS/438 Biman Ghosh Sample of Chart or Graph Assignment 1/21/2013 Health Care Spending Demographics U.S. households spent‚ on average‚ a total of $2‚976 on health insurance‚ medical services‚ drugs‚ and medical supplies in 2008. Hispanic‚ Black or African American‚ and Asian households spent less—and White households spent somewhat more–than the average. These averages are calculated with data collected from all types of households; that is
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Sabrina Lebron December 2‚ 2010 Professor Ann Impens Week 1 Assignment The chart of graph selected comes from the US Centers for Disease Control and Preventions MMWR in the article‚ "Heat Illness Among High School Athletes --- United States‚ 2005--2009" http://www.cdc.gov/mmwr/preview/mmwrhtml/mm5932a1.htm?s_cid=mm5932a1_w Identify the type of chart or graph and what this type of chart or graph usually depicts. At the bottom of the article‚ there is a verticle bar chart of the Number
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Find an example online of a graph used in real-life (include the link that goes directly to the webpage with the graph). Describe at least one mathematical feature of the graph (e.g. shape‚ slope‚ coordinates‚ axes‚ quadrants‚ etc.) and how the feature/graph can help us to analyze the real-life situation. Graph for Health Care Spending http://www.kff.org/insurance/snapshot/OECD042111.cfm In this link‚ there are several graphs from various perspectives regarding Health Care Spending in the United
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Distance Time Graphs Definitions * Speed: Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance. A fast-moving object has a high speed and covers a relatively large distance in a short amount of time. * Velocity: Velocity is a vector quantity that refers to "the rate at which an object changes its position." When evaluating the velocity of an object‚ one must keep track of direction. It would not
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water when no fish is present. Then‚ measure the water with fish in it‚ increasing by 2 every time. Record the amount of fish and dissolved oxygen in a chart. When about 20 fish is reached‚ stop recording and put all the data into a line graph. Using a line graph will help see any patterns between dissolved oxygen and number of fish. 4.
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1. Evidence in numbers Features of Good Graph Descriptions Semester 2‚ Block 2‚ Week 6 Doc 6.2E Example: Script 1 Lines 10-12 Original: • In the second chart‚ most of the people thought any mention of fine was the best penalty. Nearly 69% of all adults‚ 59% of drivers and 51% of male drivers under 35 thought so. 1 2 1. Evidence in numbers Example: Script 1 Lines 10-12 Improved: • In the second chart‚ most of the people interviewed thought a fine was the penalty. Nearly 69% of all adults
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