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Using Elliptic Integrals And Functions To Study Large Amplitude Oscillations Of A Pendulum

Conference Session: Applied Mathematics
Collection: 2007 Annual Conference & Exposition
Authors: Josue Njock-Libii, Indiana University-Purdue University-Fort Wayne
Tagged Divisions: Mathematics

obtained by solving the equation1s$$ - y n2 sin(s ) ? 0 , (1)In general, the conditions at the starting time, t = ts, are given by 2t ? t s ,s (t s ) » s s ,s$ (t s ) » s$s . (1a)In these equations, the dots represent differentiation with respect to time t and thequantity n , which has units of rad/s, is related to the natural frequency of the system.As an example, for a compound pendulum swinging in the vertical plane about ahorizontal axis that goes through point O, mtotal gdyn » , (1b) J0where, mtotal is the total mass of the pendulum; g is the

Relevance Score: 0.03168252

Scope Of Various Random Number Generators In Ant System Approach For Tsp

Conference Session: Applied Mathematics
Collection: 2007 Annual Conference & Exposition
Authors: S.K. Sen, Florida Institute of Technology; Gholam Ali Shaykhian, NASA
Tagged Divisions: Mathematics

Page 12.1256.2sequences (stretches) of the same digit(s), say, 1, the overall sequence might be random though.Long sequences of the same digits, even though generated by a random process would reduce thelocal randomness of a sample. That is, a sample could only be globally random for sequences of,say, 100,000 digits while it might not appear at all random when a sequence of less than 500digits is considered. Usually in a statistical environment, the numeric sequence need to be a large one (30 or moreentries) before we could talk about whether the sequence is random or not. For example, in atossing of a coin denoting a head by 1 and a tail by 0, if we get 15 0’s successively, can we saythat the coin is biased statistically? The answer is no

Relevance Score: 0.011201463

Using Neural Networks To Motivate The Teaching Of Matrix Algebra For K 12 And College Engineering Students

Conference Session: Project and Model-Based Mathematics
Collection: 2007 Annual Conference & Exposition
Authors: Sharlene Katz, California State University-Northridge; Bella Klass-Tsirulnikov, Sami Shamoon College of Engineering (formerly Negev Academic College of
Tagged Divisions: Mathematics

hardlims(x) = 4 5+1, x 2 0Thus the input of the single neuron is an R x 1 matrix p, and its final output is a scalar a =hardlims(Wp + b), depending upon whether the result n = Wp + b is positive or negative.A neural network can contain multiple neurons. Each neuron receives the same input vector, p,but produces a separate output. A network of S neurons has S outputs and can be represented ina manner similar to the single neuron network shown in figure 1. However, the weights are nowthe rows of a weight matrix W of size S x R. Accordingly, b, n, and a become column vectors oflength S, or S x 1 matrices. Thus, for an S neuron neural network with input p, we obtain Soutputs, which are contained in the S x 1 matrix

Relevance Score: 0.011201462

Variation Of Fractal Dimension Of Leaves Based On Stem Position

Conference Session: Applied Mathematics
Collection: 2007 Annual Conference & Exposition
Authors: Johann Misterio, William Dickinson High School; Krshna Ravindra, Johns Hopkins University; Rene D Rivero, New Jersey Institute of Technology; Henry McCloud, New Jersey Institute of Technology; Levelle Burr-Alexander, New Jersey Institute of Technology; Nuggehalli Ravindra, New Jersey Institute of Technology
Tagged Divisions: Mathematics

twigs and leaves. Hence, thesmaller parts of a tree appear to have the same structure as the whole. Until Benoit Mandelbrot3,Gaston Julia11 and Pierre Fatou12 discovered self-similar structures in iterative mappings, suchstructures had gone largely unnoticed. Beginning in the late 1910's and into the 1920's, Julia11and Fatou12 led the study of these self-similar structures. At that time, there were no computersto produce the images that we see today. Consequently, interest in fractals was restricted to thosevery few individuals who could in some sense understand the mathematics behind the picturesthat are drawn today.Although Mandelbrot3 invented the word fractal, many of the objects featured in The FractalGeometry of Nature had been previously

Relevance Score: 0.009334552

Impacting Instructional Practice Through The Implementation Of An Inquiry Based Elementary Mathematics Program: A Single Site Collective Case Study

Conference Session: Mathematics in Transition
Collection: 2007 Annual Conference & Exposition
Authors: Sandra Linder, Math Out of the Box; Donna Gunderson, Math Out of the Box/Clemson University
Tagged Divisions: Mathematics

Look at your I want you to We have got T: How S: TheMath going to do numbers as extend your four words many coreOut of now is you are doing pattern so to write people are separates athe Box collect some it. See what that it goes down. We in the pattern more data. kinds of on and I are going to core? S: from Instead of relationships want you to find out Six. T: No, another measuring you can see have a what each not six. S: pattern. T: around your from your yellow in one of these Three. Very good, wrist

Relevance Score: 0.00792063

Facilitating Engineering Mathematics Education By Multidisciplinary Projects

Conference Session: Integrating Mathematics, Science, and Engineering
Collection: 2007 Annual Conference & Exposition
Authors: Günter Bischof, Joanneum University of Applied Sciences, Department of Automotive Engineering,; Emilia Bratschitsch, Joanneum University of Applied Sciences, Department of Automotive; Annette Casey, Joanneum University of Applied Sciences, Department of Automotive Engineering,; Domagoj Rubesa, Joanneum University of Applied Sciences, Department of Automotive Engineering,
Tagged Divisions: Mathematics

condensed matter. Positrons can be obtained from β+-decayof radioactive isotopes or from nuclear reactions. For the investigation of the electronicstructure of defects in solids they are implanted into the sample and move through themedium until they reach thermal equilibrium. As the antimatter counterpart to the electron,the positron remains only a short time (10-10 s) in the sample before annihilating with anelectron under emission of annihilation gamma rays that escape the system without anyinteraction. The spectrum of these gamma quanta holds information about the electronicenvironment around the annihilation site 9. The principle of the method lies in the analysis ofthe positron annihilation line shape, which directly corresponds to the

Relevance Score: 0.00792063

Using Engineering Mathematics To Learn Structural Analysis

Conference Session: Integrating Mathematics, Science, and Engineering
Collection: 2007 Annual Conference & Exposition
Authors: Shane Palmquist, Western Kentucky University
Tagged Divisions: Mathematics

m (x) from statics due to P = 1 m (x) couple, m (x)Virtual moment, m(x) m(x) from statics due to P = 1 m(x)Slope angle, (x) L Mm s (x) (x) = Ð EI dx due to P = 1 0Deflection, y(x) L Mm

Relevance Score: 0.0074676415

Integrating Calculus And Introductory Science Concepts

Conference Session: Integrating Mathematics, Science, and Engineering
Collection: 2007 Annual Conference & Exposition
Authors: Jenna Carpenter, Louisiana Tech University
Tagged Divisions: Mathematics

Conference4. N. A. Pendergrass, Robert E. Kowalczyk, John P. Dowd, Raymond N. Laoulache, William Nelles, James AGolen and Emily Fowler (1999), Improving First-year Engineering Education, Proceedings of the 1999 Frontiers inEducation conference, San Juan, Puerto Rico5. N. Fisher, S. Rankin, B. Saunders, and K. Millett (2006), Excellence in Undergraduate Mathematics:Confronting Diverse Student Interests, A Final Report, Retrieved January 16, 2007, fromhttp://www.math.uic.edu/~mer/pages/Excellencepage/Final_report-_EUM_proj..pdf. Page 12.914.6

Relevance Score: 0.006600525

A Model For Vertical Integration Of Real World Problems In Mathematics

Conference Session: Project and Model-Based Mathematics
Collection: 2007 Annual Conference & Exposition
Authors: Dennis Berkey, Worcester Polytechnic Institute; Bogdan Vernescu, Worcester Polytechnic Institute
Tagged Divisions: Mathematics

paths, but it is just as valuable for students who enter “traditional” graduate programs andgo into academic careers in that it broadens their perspectives on the uses of mathematics (A. C.Heinricher and S. L. Weekes12, B. Vernescu and A.C. Heinricher19)Here are some sample REU projects from past research summers (more are available on theCIMS web at www.wpi.edu/+CIMS ): Optimal Cession Strategies – Sponsor: Premier Insurance Co.; Faculty advisor: Arthur Heinricher; Industrial advisors: Richard Welch, CEO, and Martin Couture. In the state of Massachusetts, the automobile insurance industry is highly regulated. Not only are insurance rates fixed by the state, but no company can refuse insurance to anyone who

Relevance Score: 0.005600731

Exploring Math Through Math Competitions At The Elementary School Level: Case Study Of A K 12 Approach

Conference Session: Mathematics in Transition
Collection: 2007 Annual Conference & Exposition
Authors: Nirmala Gnanapragasam, Seattle University
Tagged Divisions: Mathematics

schedule for the math club, and some ofthe soft skills learned by students. It also provides information on variouscompetitions that are available to students in Washington State and ranks themaccording to the level of difficulty. Finally it discusses the lessons learned in thepast seven years which may be helpful to those who are considering starting onein their own neighborhoods.MathClub - Inception through Current StatusThe math club was started in mid 1990’s with one parent volunteer and a fewstudents. It was a before school 50-minute, unstructured, enrichment program,where students from 2nd through 4th graders came in to play math related gamesand puzzles. Each session typically had about 20 students. However, after a fewmonths the organizer

Relevance Score: 0.00528042

Students With Calculus Credit: What Can We Do?

Conference Session: Innovative Instruction Strategies in Calculus
Collection: 2007 Annual Conference & Exposition
Authors: Elton Graves, Rose-Hulman Institute of Technology
Tagged Divisions: Mathematics

40problems. Because of the nature and speed of the course, and problems, students areencouraged to work together on the homework assignments, both during class time and inthe evening.Each day the previous day’s assignment is turned in by 8:05 AM, the start of class. Thecounselors grade the assignment during the morning, and return the assignments to thestudents at 1:30 PM each afternoon, at the problem session. The assignments are gradedas E for excellent above 90% correct; S for satisfactory, above 80% correct; and U forunsatisfactory for below 80% correct. Any student who receives a U on an assignmentmust redo all the problems the student missed and resubmit the assignment. Theassignment is not considered passed until all missed problems are done