On Mathieu Equations by Nikola Mišković‚ dipl. ing. Postgraduate course Differential equations and dynamic systems Professor: prof. dr. sc. Vesna Županović The Mathieu Equation An interesting class of linear differential equations is the class with time variant parameters. One of the most common ones‚ due to its simplicity and straightforward analysis is the Mathieu equation. The Mathieu function is useful for treating a variety of interesting problems in applied
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Upstream: 60 = 6(b-c) Downstream: 60 = 3(b+c) There are now two separate equations: 60 = 6b - 6c and 60 = 3b + 3c Solve both equations for b: b = 10 + c b = 10 - c Now make both equations equal each other and solve for c: 10 + c = 10 - c 2c = 0 c = 0 The speed of the current was 0 mph Now‚ plug the numbers into one of either the original equations to find the speed of the boat in still water. I chose the first equation: b = 10 + c or b = 10 + 0 b = 10 The speed of the boat in still water must
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THE ACCOUNTING EQUATION The accounting equation can be described as of the basis of accounting. This is because it describes the double entry principle of book-keeping. It is a representation of how funds are raised to finance Assets. The equation is illustrated below: Asset = Capital + Liabilities For example‚ a girl needs to buy a laptop costing £500. She already had £250 in personal savings and then took a loan of £250 from her boyfriend. Here is the equation again: Asset Capital
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Information Technology Problem Solving Objectives Outline the steps in problem solving Decompose a simple problem into its significant parts Understand the variables‚ constants and data types used when solving problems on a computer. Explain and develop algorithms Represent algorithms in pseudocode or flowcharts Topics to be covered Problem Solving The Processing Cycle Defining Diagrams Algorithms Pseudocode Flowcharts Problem Solving We are faced with different types of problems
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Are consumers rational? Introduction Last couples of decades have witnessed the change of emphasis on study of consumers behaviour. Nowadays it is universally acknowledged that consumers behaviour has gradually transformed from rational buying to progressively impulsive purchase (Holbrook & Hirschman‚ 1982). Individuals’ perspectives towards commodities were no longer merely a concentration on utilitarian functions‚ instead‚ social and psychological utilities have become a significant yardstick
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Ascertaining Mathematics With Equations Jesse J. Oliver Jr. Mathematics 126: Survey of Mathematical Methods Professor Matthew Fife Thursday‚ January 24‚ 2013 Ascertaining Mathematics With Equations The abstract science of a number‚ quantity and space that can be studied in its very own right or as it may be applied to other disciplines and subject matters in several aspects‚ one considers to be that of mathematics. The problem of testing a given number for “primality” has been known to
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CHEMISTRY TOPIC 11 CHEMICAL CALCULATIONS CHEMICAL CALCULATIONS INTRODUCTION The first part of this ‘Chemical Calculations’ topic will help us to work out QUANTITIES involved in a reaction; For example‚ a manufacturer might want to know‚ How much ammonia will I produce from 20 tonnes of nitrogen in the Haber Process? To do these calculations you will need to be familiar with the term Ar (relative atomic mass)‚ Mr‚ Molar mass and Mole. Relative Atomic
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Calorimetry Equations Monday‚ October 28‚ 2013 12:00 PM TOOL BOX q=mc∆T Water sp. Heat Calorimetry : the measurement of energy (calorie) Calorimeter : tool used to measure energy by Measuring the change in temperature Equation : q=mc∆T What is the difference between Calorimetry and Calorimeter? Quantity of Energy (Cal.) Mass (g) Specific heat (given) (Cal/g) Change in temperature (℃ ) (End-short) What is the dance that we learned
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2/20/2014 Frequently Used Equations - The Physics Hypertextbook Frequently Used Equations Mechanics velocity Δ s v= Δ t ds v= dt acceleration Δ v a= Δ t dv a= dt equations of motion v = 0+at v x =x0+v 0 +½ 2 t at weight W =m g momentum p =m v dry friction ƒ μ =N centrip. accel. v2 ac = r 2 ac =−ω r impulse J =F Δ t impulse–momentum F Δ= Δ t m v J =⌠ dt F ⌠ dt =Δ F p ⌡ kinetic energy potential energy ⌡ K =½ mv
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the standard normal table to determine probability Chapter 8: Estimating Single Population Parameters Point and Confidence Interval Estimates for a Pop Mean Point Estimate ± (Critical Value)(Standard Error) Confidence interval for μ ( known) Steps: Define the population of interest and select a simple random sample of size n Specify the confidence level Compute the sample mean Determine the standard error of the sampling distribution using Determine the critical value‚ z‚ from the standard
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