Mathematics Subject Name: Numerical Methods Subject Code: MA1251 Unit I 1) Write the Descartes rule of signs Sol: 1) An equation f ( x) = 0 cannot have more number of positive roots than there are changes of sign in the terms of the polynomial f ( x) . 2)An equation f ( x) = 0 cannot have more number of positive roots than there are changes of sign in the terms of the polynomial f ( x) . 2) What is the order of convergence of Newton Raphson method if the multiplicity of the root is
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Methods of production Production methods fall into three main categories; however‚ all production methods can be assisted with CAM and CAD equipment (Computer Aided Manufacture and Computer Aided Design – respectively). 1. Job Production and Prototype Production Job Production is used when a product is produced with the labor of one or few workers and is scarcely used for bulk and large scale production. It is mainly used for one-off products or prototypes‚ as it is inefficient; however‚ quality
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Science By DeMarcus Thomas September 11‚ 2012 What is the scientific method? The scientific method is a method for problem solving that has been used for generations. It is the best method for winnowing the truth from lies and delusion (Collins‚ 2012). The scientific method has been used for ages to solve the mysteries of the universe. Though we are not aware of it we use this method more often than we think. Consider this seemingly simple scenario. You arrive home late at night. You walk
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1 Numerical Methods for Differential Equations 1 2 NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS Introduction Differential equations can describe nearly all systems undergoing change. They are ubiquitous is science and engineering as well as economics‚ social science‚ biology‚ business‚ health care‚ etc. Many mathematicians have studied the nature of these equations for hundreds of years and there are many well-developed solution techniques. Often‚ systems described by differential
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This is a list of methods of capital punishment. Method Description Animals Crushing by elephant.[1] Devouring by animals‚ as in damnatio ad bestias (i.e.‚ as in the cliché‚ "being thrown to the lions"). Stings from scorpions and bites by snakes‚ spiders‚ etc. (e.g. the "Snake pit" of Germanic legend)[dubious – discuss] Tearing apart by horses (e.g.‚ in medieval Europe and Imperial China‚ with four horses; or "quartering"‚ with four horses‚ as in The Song of Roland and Child Owlet). Trampling
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Census Method All items in any field of inquiry constitute a ‘ Universe ’ or ‘ Population.’ A complete enumeration of all items in the population is known as a census inquiry. It can be presumed that in such an enquiry‚ when all items are covered‚ no element of chance is left and highest accuracy is obtained. But in practice this may not be true. Even the slightest element of bias in such an inquiry will get larger and larger as the number of observation increases
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Forecasting Methods What is forecasting ? Why is forecasting important ? How can we evaluate a future demand ? How do we make mistakes ? Prod 2100-2110 Forecasting Methods 0 Contents 1. FRAMEWORK OF PLANNING DECISIONS ............................................................................... 2 2. FORECASTING................................................................................................................................. 3 2.1 CHARACTERISTICS ..............
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CONSTRUCTION PERSONNEL MANAGEMENT ASSIGNMENT ON MANAGEMENT AND DEVELOPMENT METHODS INDEX 1. Compensation a. Components of Compensation System 2. Wages and Salary 3. Employee Benefits a. Types of Employee benefits b. Types of Employer Provided Employee Benefits 4. Employee Appraisal and Assessment a. Types of Employee Appraisal b. Types of Assessment Methods 5. Employee Services 6. Safety and Health a. Measures for Employee safety
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.(i=1‚2‚3‚4: j=A‚B‚C) Cij= Shipping cost per container from distribution center I to customer j Subject to‚ ∑XiA=600 ∑XiB=500 ∑XiC=500 ∑X1j=450 ∑X2j=600 ∑X3j=350 Xij= integer The VAM penalty cost is given by‚ The initial allocation in VAM method is made in the row or column that has the highest penalty cost. In following table‚ column C has highest penalty cost i.e. $350. and we choose cell 4C. Iteration 1) A B C Hongkong Singapore Taipei Supply Penalty 1 LA 300 210 340 450 90
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THE SCIENTIFIC METHOD A ‘Hypotheses‚’ said Medawar in 1964‚ ‘are imaginative and inspirational in character’; they are ‘adventures of the mind’. He was arguing in favour of the position taken by Karl Popper in The Logic of Scientific Discovery (1972‚ 3rd edition) that the nature of scientific method is hypothetico-deductive and not‚ as is generally believed‚ inductive. B It is essential that you‚ as an intending researcher‚ understand the difference between these two interpretations of the
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