Introduction in Graph Theory (BASIC CONCEPTS) BASIC CONCEPTS We used decision trees in Unit DT and used them to study decision making. However‚ we did not look at their structure as trees. In fact‚ we didn’t even define a tree precisely. What is a tree? It is a particular type of graph‚ which brings us to the subject of this unit. What is a Graph? There are various types of graphs‚ each with its own definition. Unfortunately‚ some people apply the term “graph” rather loosely‚ so
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The bar chart illustrates 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
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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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tructureResearch on Graphs in Data Structure Source: http://www.algolist.net/Algorithms/Graph/Undirected/Depth-first_search Introduction to graphs Graphs are widely-used structure in computer science and different computer applications. We don’t say data structurehere and see the difference. Graphs mean to store and analyze metadata‚ the connections‚ which present in data. For instance‚ consider cities in your country. Road network‚ which connects them‚ can be represented as a graph and then analyzed
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(LastNameGraph1) ▪ Use Create a Graph (http://nces.ed.gov/nceskids/graphing/) to graph the following data sets. ▪ Copy and paste the graphs AFTER each data set. ▪ Answer the questions AFTER each graph. ▪ Save Frequently! ▪ Email me (mruthenberg@findlaycityschools.org) the finished document. 1. Baby chickens‚ like all baby birds‚ require a constant source of food. As chick grow‚ more energy is required for daily activities‚ and their food requirements increase. The following data table reports the
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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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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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stands for Profit After Tax. The graph visually shows how the net profit of the company stand reduced due to the impact of Interest‚ Depreciation‚ and Tax. Total Assets & Asset Turnover Ratio Total Assets is the sum of all assets‚ current and fixed. The asset turnover ratio measures the ability of a company to use its assets to efficiently generate sales. The higher the ratio indicates that the company is utilizing all its assets efficiently to generate sales. Companies with low profit margins
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The usage of graphs are essential in the illustration and comprehension of statistical output. They type of graphs used depends on the author and the view they are trying to portrait. Graphs can be used to prove or disprove a theory based on its presentation. The Following graph is used as a visually depiction of a sample of grade school childern of whom an IQ exam was performed. Figure: The histogram figures shown are extracts of an IQ test performed on elementary school subjects and
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| | | | | 420 | | | | | 450 | | | | | 480 | | | | | 510 | | | | | 540 | | | | | 570 | | | | | 600 | | | | | 630 | | | | | 660 | | | | | Make two graphs of your data. On one graph plot the data from the pure water. On the other graph plot the data from the salt solution. On both plot temperature on the y-axis and time on the x-axis. B. Record the freezing point of the pure water and the freezing point of the salt solution. Freezing
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