Geoms Data Visualization - Use a geom to represent data points‚ use the geom’s aesthetic properties to represent variables. Each function returns a layer. One Variable with ggplot2 Two Variables Continuous Cheat Sheet Continuous X‚ Continuous Y f <- ggplot(mpg‚ aes(cty‚ hwy)) a <- ggplot(mpg‚ aes(hwy)) with ggplot2 Cheat Sheet Data Visualization Basics i + geom_bin2d(binwidth = c(5‚ 0.5)) f + geom_blank() a + geom_area(stat = "bin") Data Visualization Continuous Bivariate Distribution
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Laboratory III: Forces Problem IV: Normal and Kinetic Frictional Force I John Greavu March 13‚ 2013 Physics 1301W‚ Professor: Evan Frodermann‚ TA: Mark Pepin Abstract The dependence of two-dimensional velocity and position components on time as well as whether or not said components are constant was determined. Video was recorded of a ball being projected laterally and data of its flight were plotted. From analyzing the data and the corresponding graphs that followed‚ it was shown that while the
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3D PC Glasses Abstract: Only a few years ago‚ seeing in 3-D meant peering through a pair of red-and-blue glasses‚ or trying not to go cross-eyed in front of a page of fuzzy dots. It was great at the time‚ but 3-D technology has moved on. Scientists know more about how our vision works than ever before‚ and our computers are more powerful than ever before -- most of us have sophisticated components in our computer that are dedicated to producing realistic graphics. Put those two things together
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5/3/2011 Lecture 1 LECTURE 1 TOPICS I. Product of Inertia for An Area Definition Parallel Axis Theorem on Product of Inertia Moments of Inertia About an Inclined Axes Principal Moments of Inertia Mohr’s Circle for Second Moment of Areas II. Unsymmetrical Bending II Unsymmetrical Bending Unsymmetrical Bending about the Horizontal and Vertical Axes of the Cross Section Unsymmetrical Bending about the Principal Axes 1 5/3/2011 Lecture 1‚ Part 1 Product of Inertia for an Area
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Juanita’s Dilemma These alternatives are available to Juanita: 1. She cans totally refuse Smith’s advice. Juanita can negotiate with SenCo’s lenders to reduce SenCo’s capital and discharge its debt. And then‚ she can lay off some employees for a period to decrease expenses; she also has to reform the MXT sensor’s internal circuitry and open up the market to help SenCo get through the hard time. 2. She can not completely agree with Smith. By partially accepting Smith’s requirements‚ Juanita
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Algebra I Chapter 5 Study Guide Writing Linear Equations Name ________________ Due: Tuesday‚ January 17 (Exam week) 100 points Writing Linear Equations in a Variety of Forms Using given information about a __________‚ you can write an ________________of the line in _____________ different forms. Complete the chart: Form (Name) Equation • • Important information The slope of the line is ____. The __ - ___________ of the line is _____. The slope of the line is _____. The line
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Defintions Circle: a round plane figure that the circumference consists of points iuuuuequal distance from the center Parabola: a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side Hyperbola: a symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis thanDefintions Circle: a round plane figure that the circumference consists of points iuuuuequal distance from the center Parabola: a
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LAB 2 – Assignment 1. Summarize in your own words the steps you have followed to complete task 1? Task one design to do a shape file from a geographic coordinate system to a custom projected coordinate system. Steps followed: 1. Right click idll.shp in the catalog tree‚ select properties. 2. The X and Y coordinate system tab in the shapefile properties dialog shows the name to be unknown. Close the dialog. Define the coordinate system for idll.shp. Open ArcToolbox window to open it in
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Calculus in 3D Geometry‚ Vectors‚ and Multivariate Calculus Zbigniew H. Nitecki Tufts University August 19‚ 2012 ii This work is subject to copyright. It may be copied for non-commercial purposes. Preface The present volume is a sequel to my earlier book‚ Calculus Deconstructed: A Second Course in First-Year Calculus‚ published by the Mathematical Association in 2009. I have used versions of this pair of books for severel years in the Honors Calculus course at Tufts‚ a two-semester
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Newton’s Method: A Computer Project Newton’s Method is used to find the root of an equation provided that the function f[x] is equal to zero. Newton Method is an equation created before the days of calculators and was used to find approximate roots to numbers. The roots of the function are where the function crosses the x axis. The basic principle behind Newton’s Method is that the root can be found by subtracting the function divided by its derivative from the initial guess of the
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