• The Wire Problem

    Updated: 2021-03-27 03:55:14
    Wolfram Demonstrations Project 12,000+ Open Interactive Demonstrations Powered by Notebook Technology Topics Latest About Participate Authoring Area The Wire Problem Initializing live version Download to Desktop Copying . Copy to Clipboard Source Open in Cloud Download to Desktop Copy Resource Object Fullscreen disabled Requires a Wolfram Notebook System Interact on desktop , mobile and cloud with the free Wolfram Player or other Wolfram Language products Do not show again Download Wolfram Player A standard optimization problem in first-semester calculus is to maximize and minimize the total area of two geometric figures made from a fixed length of wire cut into two pieces . This Demonstration illustrates that problem using a wire of length 10 and three pairs of geometric . figures

  • Compute the Euler Axis and Angle Geometrically

    Updated: 2021-03-27 03:55:14
    12,000+ Interactive Demonstrations Powered by Notebook Technology TOPICS LATEST ABOUT AUTHORING AREA PARTICIPATE Your browser does not support JavaScript or it may be disabled Compute the Euler Axis and Angle Geometrically Euler's rotation theorem states that any rigid motion that leaves the origin fixed is a rotation about an axis through the origin . Given the images of the three unit vectors in which case constitutes a rotation matrix there are various methods to determine the so-called Euler rotation axis and angle . This Demonstration illustrates a geometric . method Contributed by : Tom Verhoeff Eindhoven University of Technology THINGS TO TRY Rotate and Zoom in 3D Slider Zoom Gamepad Controls Automatic Animation SNAPSHOTS DETAILS Use the sliders longitude latitude and roll to set

  • Composing Rotations via Hamilton Turns

    Updated: 2021-03-27 03:55:14
    Wolfram Demonstrations Project 12,000+ Open Interactive Demonstrations Powered by Notebook Technology Topics Latest About Participate Authoring Area Composing Rotations via Hamilton Turns Initializing live version Download to Desktop Copying . Copy to Clipboard Source Open in Cloud Download to Desktop Copy Resource Object Fullscreen disabled Requires a Wolfram Notebook System Interact on desktop , mobile and cloud with the free Wolfram Player or other Wolfram Language products Do not show again Download Wolfram Player Sir William Rowan Hamilton , of quaternion fame , also proposed a geometric construction to compose three-dimensional rotations using what he called turns A turn is a directed arc on a great circle of the unit sphere . Such turns can be added like vectors , by sliding them

  • symmetry magazine dimensions of particle physics

    Updated: 2021-03-22 03:26:39
    Skip to main content Topics Higgs boson Neutrinos Dark matter Dark energy New physics Applications Full archive Follow Search A joint Fermilab SLAC publication latest news 03 11 21 Quanta Quantum mischief rewrites the laws of cause and effect Spurred on by quantum experiments that scramble the ordering of causes and their effects , some physicists are figuring out how to abandon causality . altogether 03 11 21 Ars Technica Researchers measure the gravity exerted by a 90 milligram object We've measured the pull between two gold spheres , each 2 millimeters . across 03 10 21 Nature Giant ice cube hints at the existence of cosmic antineutrinos Evidence of a rare neutrino-interaction process called the Glashow resonance has been observed by a detector buried deep in the Antarctic ice opening

  • Subscribe symmetry magazine

    Updated: 2021-03-22 03:26:37
    Skip to main content Topics Higgs boson Neutrinos Dark matter Dark energy New physics Applications Full archive Follow Search A joint Fermilab SLAC publication Stay up-to-date on the latest news and features from Symmetry Subscribe Email Receive daily , weekly or monthly email updates from Symmetry Subscribe to Email Facebook Follow us on social media by liking Symmetry's Facebook page Like us on Facebook Twitter Put some particle physics in your timeline by following Symmetry's Twitter feed Follow us on Twitter RSS Subscribe to an RSS feed of news and features from Symmetry Subscribe via RSS Instagram View artwork from Symmetry Follow us on Instagram Ø Subscribe to our mailing list indicates required Email Address First Name Last Name Frequency Daily Weekly Monthly An online magazine

  • breaking symmetry magazine

    Updated: 2021-03-22 03:26:30
    Skip to main content Topics Higgs boson Neutrinos Dark matter Dark energy New physics Applications Full archive Follow Search A joint Fermilab SLAC publication 03 26 08 Sudoku mathematics Pages first previous 118 119 120 121 122 123 124 125 126 An online magazine about particle . physics Subscribe Contact About Archive Copyright 2020 Symmetry Magazine A joint Fermilab SLAC publication Symmetry receives funding through the US Department of . Energy Terms of Use

  • Contact us symmetry magazine

    Updated: 2021-03-22 03:26:30
    Skip to main content Topics Higgs boson Neutrinos Dark matter Dark energy New physics Applications Full archive Follow Search A joint Fermilab SLAC publication Have a question or a comment Want to suggest a story idea Interested in using Symmetry content Contact us Drop us a line at info symmetrymagazine.org Address : Fermilab PO Box 500 Batavia , IL 60510 : SLAC 2575 Sand Hill Road , MS 58 Menlo Park , CA 94025 Subscriptions To find out how to receive regular updates from Symmetry via social media , email or RSS feed , visit our subscriptions . page An online magazine about particle . physics Subscribe Contact About Archive Copyright 2020 Symmetry Magazine A joint Fermilab SLAC publication Symmetry receives funding through the US Department of . Energy Terms of Use

  • symmetry team symmetry magazine

    Updated: 2021-03-22 03:26:30
    Skip to main content Topics Higgs boson Neutrinos Dark matter Dark energy New physics Applications Full archive Follow Search A joint Fermilab SLAC publication Symmetry is your view into the world of particle physics Hear the latest news , meet the people behind the science , and get the background information you need to gain fluency in the language of particle . physics Symmetry is a joint publication of Fermi National Accelerator Laboratory and SLAC National Accelerator Laboratory Symmetry receives funding through the US Department of Energy symmetry team Editor-in-Chief Kathryn Jepsen Deputy Editor Sarah Charley Senior Editors Angela Anderson Glennda Chui Staff Writers Lauren Biron Nathan Collins Manuel Gnida Ali Sundermier Intern Brianna Barbu Publishers Jacquie Bucher , Fermilab

  • Dorin Marghidanu's Functional Equation

    Updated: 2021-03-22 03:26:28
    Determine all real functions f,for which f(1)=1 and f(x+y) = a^yf(x)+b^xf(y), where a,b are given real numbers, positive and different

  • An Integer Root of a Polynomial with Integer Coefficients

    Updated: 2021-03-22 03:26:27
    "

  • A Problem form the Short List of the 2018 JBMO

    Updated: 2021-03-22 03:26:27
    Let $a,b,c,d$ be real numbers with $0 ≤ a ≤ b ≤ c ≤ d.$ Prove that ab^3 + bc^3 + cd^3 + da^3 ≥ a^2b^2 + b^2c^2 + c^2d^2 + d^2a^2

  • An Inequality in Triangle for Side Lengths, Cycled in Two Ways

    Updated: 2021-03-22 03:26:25
    3(a/b + b/c + c/a - 1) ≥ 2(b/a + a/c + c/b)

  • Probability of Doubles

    Updated: 2021-03-22 03:26:24
    Show that if two dice are loaded with the same probability distribution, the probability of doubles is always at least 1/6

  • A Coin Tossing Surprise I

    Updated: 2021-03-22 03:26:24
    A fair coin is tossed repeatedly. What is the expected number of tosses before $HT$ shows up for the first time? What is the probability that $HT$ shows up before $TT?$

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