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    Vector Notation

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    Vector Notation Convert the following vectors to Cartesian form; (2 marks each) 1. 13 m on a bearing of 165° 2. 120 km/h 20° West of North 1. X Y Using soh cah toa X= 13cos(165-90) X= 3.3646475863 X= 3.4m Y= 13sin(165-90) Y= 12.5570357419 Y= 12.6m therefore‚ cartesian vector is [3.4‚-12.6] 2. X Y X=

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    Vector Calculus

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    EEE233 (SEM2-2012/13) TUTORIAL 1: PARTIAL DIFFERENTIAL EQUATIONS 1. Solve the following equations a) ∂2u∂x2=24x2(t-2)‚ given that at x=0‚ u=e2tand ∂u∂x=4t. b) ∂2u∂x∂y=4eycos2x‚ given that at y=0‚ ∂u∂x=cosx and at x=π‚ u=y2. 2. A perfectly elastic string is stretched between two points 10 cm apart. Its centre point is displaced 2 cm from its position of rest at right angles to the original direction of the string and then released with zero velocity. Applying

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    Support Vector Machine

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    Support Vector Machine Luyang Liu 152003815 I. Introduction Support vector machines (SVMs) are a basic machine learning method for supervised learning models with associated learning algorithms that analyze data and recognize patterns‚ used for classification and regression analysis. Introduced by Vladimir Vapnik and his colleagues‚ SVMs are a relatively new learning method used for binary classification. The basic idea is to find a hyperplane which separates the d-dimensional data perfectly into

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    Chapter 1 Vectors‚ Forces‚ and Equilibrium 1.1 Purpose The purpose of this experiment is to give you a qualitative and quantitative feel for vectors and forces in equilibrium. 1.2 Introduction An object that is not accelerating falls into one of three categories: • The object is static and is subjected to a number of different forces which cancel each other out. • The object is static and is not being subjected to any forces. (This is unlikely since all objects are subject to the force

    Free Force Mass

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    Addition of Force Vectors

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    Addition of Force Vectors Abstract The purpose‚ of this experiment‚ was to prove that there is a relation between the magnitude of the resulting vector‚ and the angle between the vectors that are being added. The test was performed by creating a balance between three weights tied to strings on a pulley that transferred the string on top of a graduated disc‚ which made easy the measurement of the angles between them. After performing the experiment‚ my group concluded that there is a relation

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    Experiment 3 Vectors J. Rodriguez‚ J. Panis‚ Y.Magsipoc‚ A. Castillo‚ A. Ordoñez‚ M. Tombado‚ J. Semilla‚ K. Almeniana‚ and P. Bugacia Industrial Engineering Department‚ College of Engineering Adamson University‚ Ermita‚ Manila In this experiment‚ the students will determine the resultant of different forces using different methods: graphical method; and getting the equilibrant of forces using component method the force table. Each of the three methods has their own way of getting the resultant

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    Anopheles Quadrimaculators Vectors: Organochloride DDT and Global Malaria Paper on Organochloride’s Effect on Global Malaria Dr. Stephanie P. McCallum Ed.D. Environmental Health Public Health 8165 -1

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    Disease Spread by Vectors

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    How Disease is Spread by Vectors In medical science or biology‚ a vector refers to an agent (microbes‚ animals or person) that does not cause disease by itself but helps in transmitting the pathogens that cause disease from one host to another. In this sense‚ the host could be humans‚ animals or plants. These vectors have contributed to the epidemic of so many diseases. Different diseases are transmitted by different vectors but some ailments share common vectors. For instance female anopheles

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    Space Vector Modulation

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    Electronics Society SPACE VECTOR MODULATION –An Introduction == Tutorial at IECON2001== Dorin O. Neacsu Correspondence Address: Satcon Corporation‚ 161 First Street‚ Cambridge‚ MA 02142‚ Email neacsu@earthlink.net I. INTRODUCTION Space Vector Modulation became a standard for the switching power converters and important research effort has been dedicated to this topic. Tens of papers‚ research reports and patents were developed in the last ten years and the theory of Space Vector Modulation is already

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    Calculus Vectors

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    1a. h=-4.9t^2+450 1b. h(t)=-4.9t^2+450 (h(2)-h(0))/(2-0) ((-4.9(〖2)〗^2+450)-(-4.9(0)^2+450))/2 =(430.4-450)/2 =-19.6 ∴The average velocity for the first two seconds was 19.6 metres per second. c. i) i) = =-24.5 ∴ The average velocity from is 24.5 metres/s. ii) = -14.7 iii) = -12.25 ∴ The average velocity from is 12.25 metres/s. d) Instantaneous velocity at 1s: =-9.8 ∴ The instantaneous velocity

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