Publication Named Lunar Formations by Blagg and Müller (Published in 1935)
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Carl Sagan's Groovy Cosmos
CARL SAGAN’S GROOVY COSMOS: PUBLIC SCIENCE AND AMERICAN COUNTERCULTURE IN THE 1970S By SEAN WARREN GILLERAN A thesis submitted in partial fulfillment of the requirements for the degree of MASTER OF ARTS IN HISTORY WASHINGTON STATE UNIVERSITY Department of History MAY 2017 © Copyright by SEAN WARREN GILLERAN, 2017 All Rights Reserved © Copyright by SEAN WARREN GILLERAN, 2017 All Rights Reserved To the Faculty of Washington State University: The members of the Committee appointed to examine the thesis of SEAN WARREN GILLERAN find it satisfactory and recommend that it be accepted. _________________________________ Matthew A. Sutton, Ph.D., Chair _________________________________ Jeffrey C. Sanders, Ph.D. _________________________________ Lawrence B. A. Hatter, Ph.D. ii ACKNOWLEDGEMENT This thesis has been years in the making and is the product of input from many, many different people. I am grateful for the support and suggestions of my committee—Matt Sutton, Jeff Sanders, and Lawrence Hatter—all of whom have been far too patient, kind, and helpful. I am also thankful for input I received from Michael Gordin at Princeton and Helen Anne Curry at Cambridge, both of whom read early drafts and proposals and both of whose suggestions I have been careful to incorporate. Catherine Connors and Carol Thomas at the University of Washington provided much early guidance, especially in terms of how and why such a curious topic could have real significance. Of course, none of this would have happened without the support of Bruce Hevly, who has been extraordinarily generous with his time and whose wonderful seminars and lectures have continued to inspire me, nor without Graham Haslam, who is the best teacher and the kindest man I have ever known. -
Guide to the Robert W. Jackson Collection, 1964-1999 PP03.02
Guide to the Robert W. Jackson Collection, 1964-1999 PP03.02 NASA Ames History Office NASA Ames Research Center Contact Information: NASA Ames Research Center NASA Ames History Office Mail-Stop 207-1 Moffett Field, CA 94035-1000 Phone: (650) 604-1032 Email: [email protected] URL: http://history.arc.nasa.gov/ Collection processed by: Leilani Marshall, March 2004 Table of Contents Descriptive Summary.......................................................................................................... 2 Administrative Information ................................................................................................ 2 Biographical Note ............................................................................................................... 3 Scope and Content .............................................................................................................. 4 Series Description ............................................................................................................... 5 Indexing Terms ................................................................................................................... 6 Container List...................................................................................................................... 7 Jackson Collection 1 Descriptive Summary Title: Robert W. Jackson Collection, 1964-1999 Collection Number: PP03.02 Creator: Robert W. Jackson Dates: Inclusive: 1964-1999 Bulk: 1967-1988 Extent: Volume: 1.67 linear feet Repository: NASA Ames History -
SOLAR ENERGYF; I-- in AUSTRALIA In
SOLAR ENERGYF;I--, , - ,h, -4-- . 2 : -,.,, ,##i . z,~~-- . ._. , -. .#:, ,.,# , ,,.',- ,, - , -;TI,. ,, , 1- .,'. , - 8 ..- - .. 1.. - , ' IN AUSTRALIA in:- A Profile of Renewable Energy Activity in Its National Context by Glenna L. Case DISCLAIMER This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency Thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof. DISCLAIMER Portions of this document may be illegible in electronic image products. Images are produced from the best available original document. Notice This publication was prepared under a contract to the United States Government. Neither the United States nor the United States Department of Energy, nor any of their employees, nor any of their contractors, subcontractors, or their employees, makes any warranty, express or im- plied, or assumes any legal liability or responsibility for the accuracy, completeness or usefulness of any information, apparatus, product or process disclosed, or represents that its use would not infringe privately owned rights. -
Differential Geometry
Differential Geometry J.B. Cooper 1995 Inhaltsverzeichnis 1 CURVES AND SURFACES—INFORMAL DISCUSSION 2 1.1 Surfaces ................................ 13 2 CURVES IN THE PLANE 16 3 CURVES IN SPACE 29 4 CONSTRUCTION OF CURVES 35 5 SURFACES IN SPACE 41 6 DIFFERENTIABLEMANIFOLDS 59 6.1 Riemannmanifolds .......................... 69 1 1 CURVES AND SURFACES—INFORMAL DISCUSSION We begin with an informal discussion of curves and surfaces, concentrating on methods of describing them. We shall illustrate these with examples of classical curves and surfaces which, we hope, will give more content to the material of the following chapters. In these, we will bring a more rigorous approach. Curves in R2 are usually specified in one of two ways, the direct or parametric representation and the implicit representation. For example, straight lines have a direct representation as tx + (1 t)y : t R { − ∈ } i.e. as the range of the function φ : t tx + (1 t)y → − (here x and y are distinct points on the line) and an implicit representation: (ξ ,ξ ): aξ + bξ + c =0 { 1 2 1 2 } (where a2 + b2 = 0) as the zero set of the function f(ξ ,ξ )= aξ + bξ c. 1 2 1 2 − Similarly, the unit circle has a direct representation (cos t, sin t): t [0, 2π[ { ∈ } as the range of the function t (cos t, sin t) and an implicit representation x : 2 2 → 2 2 { ξ1 + ξ2 =1 as the set of zeros of the function f(x)= ξ1 + ξ2 1. We see from} these examples that the direct representation− displays the curve as the image of a suitable function from R (or a subset thereof, usually an in- terval) into two dimensional space, R2. -
Evolute-Involute Partner Curves According to Darboux Frame in the Euclidean 3-Space E3
Fundamentals of Contemporary Mathematical Sciences (2020) 1(2) 63 { 70 Evolute-Involute Partner Curves According to Darboux Frame in the Euclidean 3-space E3 Abdullah Yıldırım 1,∗ Feryat Kaya 2 1 Harran University, Faculty of Arts and Sciences, Department of Mathematics S¸anlıurfa, T¨urkiye 2 S¸ehit Abdulkadir O˘guzAnatolian Imam Hatip High School S¸anlıurfa, T¨urkiye, [email protected] Received: 29 February 2020 Accepted: 29 June 2020 Abstract: In this study, evolute-involute curves are researched. Characterization of evolute-involute curves lying on the surface are examined according to Darboux frame and some curves are obtained. Keywords: Curve, surface, geodesic, curvature, frame. 1. Introduction The interest of special curves has increased recently. Some of these are associated curves. They are curves where one of the Frenet vectors at opposite points is linearly dependent to the other curve. One of the best examples of these curves is the evolute-involute partner curves. An involute thought known to have been used in his optical work came up in 1658 by C. Huygens. C. Huygens discovered involute curves while trying to make more accurate measurement studies [5]. Many researches have been conducted about evolute-involute partner curves. Some of them conducted recently are Bilici and C¸alı¸skan [4], Ozyılmaz¨ and Yılmaz [9], As and Sarıo˘glugil[2]. Bekta¸sand Y¨uceconsider the notion of the involute-evolute curves lying on the surfaces for a special situation. They determine the special involute-evolute partner D−curves in E3: By using the Darboux frame of the curves they obtain the necessary and sufficient conditions between κg , ∗ − ∗ ∗ τg; κn and κn for a curve to be the special involute partner D curve. -
Computer-Aided Design and Kinematic Simulation of Huygens's
applied sciences Article Computer-Aided Design and Kinematic Simulation of Huygens’s Pendulum Clock Gloria Del Río-Cidoncha 1, José Ignacio Rojas-Sola 2,* and Francisco Javier González-Cabanes 3 1 Department of Engineering Graphics, University of Seville, 41092 Seville, Spain; [email protected] 2 Department of Engineering Graphics, Design, and Projects, University of Jaen, 23071 Jaen, Spain 3 University of Seville, 41092 Seville, Spain; [email protected] * Correspondence: [email protected]; Tel.: +34-953-212452 Received: 25 November 2019; Accepted: 9 January 2020; Published: 10 January 2020 Abstract: This article presents both the three-dimensional modelling of the isochronous pendulum clock and the simulation of its movement, as designed by the Dutch physicist, mathematician, and astronomer Christiaan Huygens, and published in 1673. This invention was chosen for this research not only due to the major technological advance that it represented as the first reliable meter of time, but also for its historical interest, since this timepiece embodied the theory of pendular movement enunciated by Huygens, which remains in force today. This 3D modelling is based on the information provided in the only plan of assembly found as an illustration in the book Horologium Oscillatorium, whereby each of its pieces has been sized and modelled, its final assembly has been carried out, and its operation has been correctly verified by means of CATIA V5 software. Likewise, the kinematic simulation of the pendulum has been carried out, following the approximation of the string by a simple chain of seven links as a composite pendulum. The results have demonstrated the exactitude of the clock. -
Jasg Acampen
jasg Gives Red November to bien Gives Aladdin's Dragons to bien Gives Mice and Mystics to bien Gives Escape: Adventurer Stickers to cryptic Gives Axis & Allies & Zombies to gammaraygames Gives Mafiozoo to karimsoliman Gives Reaper Minis: Bones Miniatures - 39 figures to keithsink Gives Fast Forward: FORTRESS to kingrob Gives Kashgar: Merchants of the Silk Road to kingrob Gives Between Two Cities to leron Gives Istanbul: Kebab Shop Mini Expansion to peteyboy Gives Fallen Land Gen Con 2018 Promo Cards to sxrxnrr Gives $1.00 (Cash) to [email protected] Receives Mr. Jack Pocket from bien Receives Are You A Robot? from bien Receives Arraial from coltonreese Receives Porta Nigra from dkim06 Receives Fort from joekidd00 Receives Point Salad from [email protected] Receives Altiplano from juice1uw Receives $5.00 (Cash) from kingrob Receives $5.00 (Cash) from kingrob Receives Obscurio from leron Receives Monolith Arena from mtross Receives Qwinto from noisycrow Receives Dominion: Cornucopia from thelastcoyote acampen Gives Bruges to bien Gives The Bottle Imp to carlb Gives Sylvion to cryptic Gives The Game to duellj Gives Galaxy Trucker to gammaraygames Gives Fireball Island: The Curse of Vul-Kar – Treasure Trove to karimsoliman Gives Deception: Murder in Hong Kong to karimsoliman Gives Saint Petersburg (second edition) to sxrxnrr Gives The Fox in the Forest to tuggernuts Gives Pyramid Arcade to tuggernuts Gives Corinth to zackdale Receives $15.00 (Cash) from bien Receives Reykholt: Startup Financing Promo Pack from clmdvd Receives Maracaibo -
NASA and Planetary Exploration
**EU5 Chap 2(263-300) 2/20/03 1:16 PM Page 263 Chapter Two NASA and Planetary Exploration by Amy Paige Snyder Prelude to NASA’s Planetary Exploration Program Four and a half billion years ago, a rotating cloud of gaseous and dusty material on the fringes of the Milky Way galaxy flattened into a disk, forming a star from the inner- most matter. Collisions among dust particles orbiting the newly-formed star, which humans call the Sun, formed kilometer-sized bodies called planetesimals which in turn aggregated to form the present-day planets.1 On the third planet from the Sun, several billions of years of evolution gave rise to a species of living beings equipped with the intel- lectual capacity to speculate about the nature of the heavens above them. Long before the era of interplanetary travel using robotic spacecraft, Greeks observing the night skies with their eyes alone noticed that five objects above failed to move with the other pinpoints of light, and thus named them planets, for “wan- derers.”2 For the next six thousand years, humans living in regions of the Mediterranean and Europe strove to make sense of the physical characteristics of the enigmatic planets.3 Building on the work of the Babylonians, Chaldeans, and Hellenistic Greeks who had developed mathematical methods to predict planetary motion, Claudius Ptolemy of Alexandria put forth a theory in the second century A.D. that the planets moved in small circles, or epicycles, around a larger circle centered on Earth.4 Only partially explaining the planets’ motions, this theory dominated until Nicolaus Copernicus of present-day Poland became dissatisfied with the inadequacies of epicycle theory in the mid-sixteenth century; a more logical explanation of the observed motions, he found, was to consider the Sun the pivot of planetary orbits.5 1. -
October, 1994
Number 57 November, 1998 Notes from Hades Sun Dog SolarQuest irst of all, I apologize if this is Page 9 late. Recently, work has been extremely intense with long hours. I Pooch New World Page 11 Ffigured you would appreciate it more if I were to adjudicate the games Dogstar OUTPOST GAMESTART Page 12 after being rested, than if I did it right after working 10 hours and spending an Kennel Club AGE OF RENAISSANCE GAMESTART Page 13 hour in traffic. Plus, it would save me the time of doing them all over again. Dog Pound LIFTOFF! GAMESTART Page 13 Recently, I added to my telescope collection. This time, it was a 12-inch In the Doghouse Subzine Page 15 Schmidt Cassegrain reflector, which is fully computerized. This thing is Hootch (Andy Lewis GM) Settlers of Catan Page 15 awesome. You simply set it up, point it to two bright, identified stars, and it Benji (Andy Lewis GM) Settlers of Catan Page 16 can then slew to any of the 64,000 objects in its database that happens to be Scooby (Andy Lewis GM) Age of Renaissance Page 16 above the horizon. And if the object is not above the horizon, it will tell you so. Buster (Andy Lewis GM) Fireside Football Page 17 The weekend after I bought it, my wife and I went camping with some friends Coal (Andy Lewis GM) Stock Car Racing Page 17 out at Joshua Tree National Monument. Joshua Tree is located in the high Trivia Quiz Page 18 desert, about 4,000 feet above sea level, and is very dark. -
The Pope's Rhinoceros and Quantum Mechanics
Bowling Green State University ScholarWorks@BGSU Honors Projects Honors College Spring 4-30-2018 The Pope's Rhinoceros and Quantum Mechanics Michael Gulas [email protected] Follow this and additional works at: https://scholarworks.bgsu.edu/honorsprojects Part of the Mathematics Commons, Ordinary Differential Equations and Applied Dynamics Commons, Other Applied Mathematics Commons, Partial Differential Equations Commons, and the Physics Commons Repository Citation Gulas, Michael, "The Pope's Rhinoceros and Quantum Mechanics" (2018). Honors Projects. 343. https://scholarworks.bgsu.edu/honorsprojects/343 This work is brought to you for free and open access by the Honors College at ScholarWorks@BGSU. It has been accepted for inclusion in Honors Projects by an authorized administrator of ScholarWorks@BGSU. The Pope’s Rhinoceros and Quantum Mechanics Michael Gulas Honors Project Submitted to the Honors College at Bowling Green State University in partial fulfillment of the requirements for graduation with University Honors May 2018 Dr. Steven Seubert Dept. of Mathematics and Statistics, Advisor Dr. Marco Nardone Dept. of Physics and Astronomy, Advisor Contents 1 Abstract 5 2 Classical Mechanics7 2.1 Brachistochrone....................................... 7 2.2 Laplace Transforms..................................... 10 2.2.1 Convolution..................................... 14 2.2.2 Laplace Transform Table.............................. 15 2.2.3 Inverse Laplace Transforms ............................ 15 2.3 Solving Differential Equations Using Laplace -
The Fractal Theory of the Saturn Ring
523.46/.481 THE FRACTAL THEORY OF THE SATURN RING M.I.Zelikin Abstract The true reason for partition of the Saturn ring as well as rings of other plan- ets into great many of sub-rings is found. This reason is the theorem of Zelikin- Lokutsievskiy-Hildebrand about fractal structure of solutions to generic piece-wise smooth Hamiltonian systems. The instability of two-dimensional model of rings with continues surface density of particles distribution is proved both for Newtonian and for Boltzmann equations. We do not claim that we have solved the problem of stability of Saturn ring. We rather put questions and suggest some ideas and means for researches. 1 Introduction Up to the middle of XX century the astronomy went hand in hand with mathematics. So, it is no wonder that such seemingly purely astronomical problems as figures of equilibrium for rotating, gravitating liquids or the stability of Saturn Ring came to the attention of the most part of outstanding mathematicians. It will be suffice to mention Galilei, Huygens, Newton, Laplace, Maclaurin, Maupertuis, Clairaut, d’Alembert, Legendre, Liouville, Ja- cobi, Riemann, Poincar´e, Chebyshev, Lyapunov, Cartan and numerous others (see, for example, [1]). It is pertinent to recall the out of sight discussion between Poincar´eand Lyapunov regarding figures of equilibrium for rotating, gravitating liquids. Poincar´e, who obtained his results using not so rigorous reasoning and often by simple analogy, wrote, “It is possible to make many objections, but the same rigor as in pure analysis is not de- manded in mechanics”. Lyapunov had entirely different position: “It is impermissible to use doubtful reasonings when solving a problem in mechanics or physics (it is the same) if it is formulated quite definitely as a mathematical one. -
The Cycloid Scott Morrison
The cycloid Scott Morrison “The time has come”, the old man said, “to talk of many things: Of tangents, cusps and evolutes, of curves and rolling rings, and why the cycloid’s tautochrone, and pendulums on strings.” October 1997 1 Everyone is well aware of the fact that pendulums are used to keep time in old clocks, and most would be aware that this is because even as the pendu- lum loses energy, and winds down, it still keeps time fairly well. It should be clear from the outset that a pendulum is basically an object moving back and forth tracing out a circle; hence, we can ignore the string or shaft, or whatever, that supports the bob, and only consider the circular motion of the bob, driven by gravity. It’s important to notice now that the angle the tangent to the circle makes with the horizontal is the same as the angle the line from the bob to the centre makes with the vertical. The force on the bob at any moment is propor- tional to the sine of the angle at which the bob is currently moving. The net force is also directed perpendicular to the string, that is, in the instantaneous direction of motion. Because this force only changes the angle of the bob, and not the radius of the movement (a pendulum bob is always the same distance from its fixed point), we can write: θθ&& ∝sin Now, if θ is always small, which means the pendulum isn’t moving much, then sinθθ≈. This is very useful, as it lets us claim: θθ&& ∝ which tells us we have simple harmonic motion going on.