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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Assignment # 1 1. What is chart of accounts? Chart of accounts (COA) is a list of the accounts used by an organization. The list can be numerical‚ alphabetic‚ or alpha-numeric. The structure and headings of accounts should assist in consistent posting of transactions. Each nominal ledger account is unique to allow its ledger to be located. The list is typically arranged in the order of the customary appearance of accounts in the financial statements‚ profit and loss accounts followed by balance
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How many optimal solutions are there for a given problem ? - 4- Combinatorial Optimization (C.O.) problems Different fields in Optimization: Linear Programming Non-Linear Optimization Integer – Mixed Linear Programming Graph / network optimization Routing‚ Scheduling‚ Supply Chain‚… Combinatorial optimization studies optimization on finite and discrete domains. Find the minimum s* of f on a finite set S. f ( s ) Min f ( s) sS - 5- Characteristics
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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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Operating Profit & OPM Operating Profit gives an indication of the current operational profitability of the business and allows a comparison of profitability between different companies after removing out expenses that can obscure how the company is really performing. Interest cost depends on the management’s choice of financing‚ tax can vary widely depending on acquisitions and losses in prior years‚ and depreciation and amortization policies may differ from company to company. EBITDA‚ PBT &
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CRITICAL CHAIN PROJECT MANAGEMENT A Postgraduate Project Report submitted to Manipal University in partial fulfillment of the requirement for the award of the degree of MASTER OF TECHNOLOGY In Construction Engineering and Management Submitted by Priyanka P Under the guidance of Mr. MOHAMMED FARHAN SHARIFF Deputy Manager Project Planning & Co-ordination Brigade Enterprises Limited Bangalore Mr. ANUP WILFRED SEBASTIAN Assistant Professor Dept. of Civil Engineering M.I.T Manipal
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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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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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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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CONTROL CHARTS FOR VARIABLES TUTORIAL 4 : CONTROL CHARTS FOR VARIABLES 1. Control charts for X and R are to be established on a certain dimension part‚ measured in millimeters. Data were collected in subgroup sizes of 6 and are given below. Determine the trial central line and control limits. Assume assignable causes and revise the central line and control limits. SUBGROUP NUMBER 1 2 3 4 5 6 7 8 9 10 11 12 13 X 20.35 20.40 20.36 20.65 20.20 20.40 20.43 20.37 20.48 20.42 20.39 20.38 20.40
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