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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TOTAL PRODUCT CURVE: A curve that graphically represents the relation between total production by a firm in the short run and the quantity of a variable input added to a fixed input. When constructing this curve‚ it is assumed that total product changes from changes in the quantity of a variable input (like labor)‚ while other inputs (like capital) are fixed. This is one of three key product curves used in the analysis of short-run production. The other two are marginal product curve and average product
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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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Production Possibility Curve (PPC): Matthew Du A production possibility curve (PPC) also recognized as a production possibility frontier (PPF) is a helpful graph which shows the variations of two or more goods and services that can be produced while using all of the available resources efficiently (using all resources to its full potential) . (Riley‚ 2012) A production possibility curve may illustrate; scarcity‚ choice‚ opportunity cost‚ unemployment and economic growth. There are three basic
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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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GROWTH CURVE NAME SURNAME :ahmet mehmeh STUDENT ID : DEPARTMENT : MOLECULAR BIOLOGY AND GENETİCS DATE OF EXPERIMENT: 02.03.2011 ABSTRACT In this experiment‚the cell growth of yeast is measured by using spectrophotometer and hemocytometer.We learnt how specthophotometer and hemocytometer use and also we learnt qualifications of hemocytometer and spectrophotometer.Serial dilution was used for this experiment and it was very important.Because
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object travels in a stated direction in a given length of time. Thus velocity is speed in a stated direction. Velocity is referred to as a vector quantity because it possesses both size and direction‚ the size being speed. Where speed only tells us how fast or slow an object is moving it gives no reference of direction velocity is used as a more complete measure as it not only gives speed but also the direction. Two cars could be travelling with the same speed of 100 km/h on a motorway. However‚
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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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1. I. Cause in fact‚ sine qua non R. To prove the defendant negligent‚ one has to prove that the plaintiff’s injuries would not have happened if the defendant did not place their foot on the accelerator before being rear-ended. Evidence needs to be shown that if the defendant did not move his car slightly‚ his car would not have been pushed out further into oncoming traffic and thus hitting and injuring the plaintiff. A. Because Burg’s foot was off the accelerator at the time of impact‚ it
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is the Philips Curve? Explain why critics believe the relationship no longer holds. Different macroeconomic policies can be implemented in order to achieve government’s main objectives of full employment and stable economy through low inflation. Philips Curve can be use as a tool to explain the trade-off between these two objectives. This essay will first explain the Philips Curve and its relation to inflation and unemployment. Then‚ the breakdown of Philips Curve will be analysed
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