Hyperbolas A hyperbola is the set of all points in a plane whose distances from two fixed points in the plane have a constant difference. The fixed points are the foci of the hyperbola. The line through the foci is the focal axis. The point on the focal axis midway between the foci is the center. The points where the hyperbola intersects its focal axis are the vertices of the hyperbola. The standard for of the hyperbola equation is: x2/a2 – y2/b2 = 1 and this is for when the hyperbola is centered
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Graphical Techniques to describe a set of Interval data ( cross-sectional data ) A. Histogram ~ A histogram is created by drawing rectangles whose bases are the class intervals (classes) and and whose heights are the frequencies. Determining number of class intervals No. of Observations No. of Classes 50‚000 17 - 20 ~ Alternatively using Sturges’s formula No. of class intervals = 1 + 3.3 log(n) where n = No. of observations ~ Determining class interval widths Class width = (Largest Observation
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Activity 1.1.2: Crime Scene Search Methods Link Method Method is not a geometric pattern or easily definable. There is no set pattern. The method requires the investigator to be able to form logical links between crime scene activity and the likely places additional evidence could be found at the scene as a result. Method seeking to find associations between evidence. Investigators evaluate the scene and then proceed through the area in a systematic and logical fashion. Based on the
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Preliminary Standard English 2013 Visual Analysis Techniques Visual images‚ like all representations‚ “are never innocent or neutral reflections of reality...they represent for us: that is‚ they offer not a mirror of the world but an interpretation of it.” (Midalia 1999 p. 131) Visual Analysis Metalanguage Term Definition Composition What is included (both text and image) or omitted and how it has been deliberately placed. The structure of components placed together is extremely important
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3D CLIPPING Introduction Clipping is very important in 3D graphics. The main purpose is to prevent the triangle drawing routine from trashing memory and drawing out of the screenspace. 3D-clipping can also help you to speed up your rendering engine. 2D Or 3D Clipping? Basically there are two different approaches to clipping. The first and most common is the 2D clipping algorithm. In this kind of algorithm the clipping is done at the last stage of rendering. The triagle-routine used to
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pursue his rather heretical ideas further‚ though‚ he moved from the restrictions of Catholic France to the more liberal environment of the Netherlands‚ where he spent most of his adult life‚ and where he worked on his dream of merging algebra and geometry. In 1637‚ he published his ground-breaking philosophical and mathematical treatise "Discours de la méthode" (the “Discourse on Method”)‚ and one of its appendices in particular‚ "La Géométrie"‚ is now considered a landmark in the history of mathematics
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Friedrich Gauss Carl Friedrich Gauss was a German mathematician and scientist who dominated the mathematical community during and after his lifetime. His outstanding work includes the discovery of the method of least squares‚ the discovery of non-Euclidean geometry‚ and important contributions to the theory of numbers. Born in Brunswick‚ Germany‚ on April 30‚ 1777‚ Johann Friedrich Carl Gauss showed early and unmistakable signs of being an extraordinary youth. As a child prodigy‚ he was self taught in
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Path planning 2D plotting machine for efficient automated PCB drilling. S.C Alwis‚ A.S Premarathna‚ Y.P Fonseka‚ S.M Samarasinghe J. Wijayakulasooriya ABSTRACT 2D vector plotters are designed to take a pointer to any given coordinate in the xy plane. An application of this plotting device is in PCB drilling. In PCB drilling the location of the drill holes are fed into the system which will drill the PCB at the specified coordinates. The main objective of this project is to be able to take
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TWO-VARIABLE INEQUALITY MAT 221 Joseph Oslakovic February 16‚ 2014 TWO-VARIABLE INEQUALITY This week we are learning about two-variable inequalities as they pertain to algebraic expressions. The inequality can be graphed to show the values included in and excluded from a given range of numbers. Solving for inequalities such as these is a critical skill in many trades which can save or cost a company a lot of time and money. Ozark Furniture Company can obtain at
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3D-PLANES 1-MARK 1.Find the angle between the line x + 1 = y – 1 = z – 2 and the plane 2x + y – 3z = 4. 2 -1 3 2 Find the distance of the point (1‚ 2‚ 0) from the plane 4x + 3y + 12z = 16. 3.Find the equation of the line passing through the point with position vector 4i – j + 3k and perpendicular to the plane r.(6i – 3j + 7k) + 2 = 0. 4. If the points (1‚ 2‚ p) and (-3‚ 0‚ -1) be equidistant from the plane
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