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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Continuity Equations Continuity equation is a equation that explain the transport of a conserved quantity. Since‚ mass‚ energy‚ momentum are conserved under respective condition‚ a variety of physical phenomena may be describe using continuity equations. By using first law of thermodynamics‚ energy cannot be created or destroyed. It can only transfer by continuous flow. Total continuity equation (TCE)‚ component continuity equation(CCE) and energy equation(EE) is applied to do mathematical model
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The Cold Equations This short story by Tom Godwin is a very sentimental and lesson learning story. Briefly‚ it is about a ship on a designated mission which encounters a problem because the pilot on the ship encounters a stowaway‚ a young girl‚ and every stowaway found on board must be jettisoned‚ it was the law and there was absolutely no appeal. Marilyn‚ the stowaway’s name‚ was simply a teen and all she wanted was to see her brother whom she hadn’t seen in over 10 years she really meant
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most accurate forecast possible so they can plan for the demands. There are forecasting tools that assist with making calculations to receive the best outcome by your company’s needs. The tools are moving average‚ weighted moving average and exponential smoothing. The moving average takes the total of actual demand for previous months then divides by the number of months added. The number of months that is used can be predefined such as using the previous three months. This is the simplest
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DIFFERENTIAL EQUATIONS 2.1 Separable Variables 2.2 Exact Equations 2.2.1 Equations Reducible to Exact Form. 2.3 Linear Equations 4. Solutions by Substitutions 2.4.1 Homogenous Equations 2.4.2 Bernoulli’s Equation 2.5 Exercises In this chapter we describe procedures for solving 4 types of differential equations of first order‚ namely‚ the class of differential equations of first order where variables x and y can be separated‚ the class of exact equations (equation
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Smooth Transition Exponential Smoothing James W. Taylor Saïd Business School University of Oxford Journal of Forecasting‚ 2004‚ Vol. 23‚ pp. 385-394. Address for Correspondence: James W. Taylor Saïd Business School University of Oxford Park End Street Oxford OX1 1HP‚ UK Tel: +44 (0)1865 288927 Fax: +44 (0)1865 288805 Email: james.taylor@sbs.ox.ac.uk Smooth Transition Exponential Smoothing SMOOTH TRANSITION EXPONENTIAL SMOOTHING Abstract Adaptive exponential smoothing methods allow a smoothing
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MATHEMATICAL METHODS PARTIAL DIFFERENTIAL EQUATIONS I YEAR B.Tech By Mr. Y. Prabhaker Reddy Asst. Professor of Mathematics Guru Nanak Engineering College Ibrahimpatnam‚ Hyderabad. SYLLABUS OF MATHEMATICAL METHODS (as per JNTU Hyderabad) Name of the Unit Unit-I Solution of Linear systems Unit-II Eigen values and Eigen vectors Name of the Topic Matrices and Linear system of equations: Elementary row transformations – Rank – Echelon form‚ Normal form – Solution of Linear Systems
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eightweek period have been 14‚ 9‚ 30‚ 22‚ 34‚ 12‚ 19‚ 23. a. Suppose that three-week moving averages are used to forecast sales. Determine the one-step-ahead forecasts for weeks 4 through 8. b. Suppose that exponential smoothing is used with a smoothing constant of α = 0.15. Find the exponential smoothing forecasts for weeks 4 through 8. c. Based on the MAD‚ which method did better? Solution: a. Week 4 5 6 7 8 b. and c. You may start ES forecast from week 1 or start ES forecast from week 4 using MA(3)
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Kinematic Derivation of the Wave Equation http://prism.texarkanacollege.edu/physicsjournal/wave-e... KINEMATIC DERIVATION OF THE HARMONIC WAVE EQUATION AND RELATED TOPICS An extremely important type of wave in physics is the harmonic wave. This is a wave consisting of propagating simple harmonic oscillations or linear combinations thereof. Attach a weight to a spring and hang the spring so the weight is free to move. Then lift the weight straight up and release it; it will oscillate up and down
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Quadratic Equations Equations Quadratic MODULE - I Algebra 2 Notes QUADRATIC EQUATIONS Recall that an algebraic equation of the second degree is written in general form as ax 2 + bx + c = 0‚ a ≠ 0 It is called a quadratic equation in x. The coefficient ‘a’ is the first or leading coefficient‚ ‘b’ is the second or middle coefficient and ‘c’ is the constant term (or third coefficient). For example‚ 7x² + 2x + 5 = 0‚ 5 1 x² + x + 1 = 0‚ 2 2 1 = 0‚ 2 x² + 7x = 0‚ are all
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