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The Mathematics of the Chinese, Indian, Islamic and Gregorian Calendars
Heavenly Mathematics: The Mathematics of the Chinese, Indian, Islamic and Gregorian Calendars Helmer Aslaksen Department of Mathematics National University of Singapore [email protected] www.math.nus.edu.sg/aslaksen/ www.chinesecalendar.net 1 Public Holidays There are 11 public holidays in Singapore. Three of them are secular. 1. New Year’s Day 2. Labour Day 3. National Day The remaining eight cultural, racial or reli- gious holidays consist of two Chinese, two Muslim, two Indian and two Christian. 2 Cultural, Racial or Religious Holidays 1. Chinese New Year and day after 2. Good Friday 3. Vesak Day 4. Deepavali 5. Christmas Day 6. Hari Raya Puasa 7. Hari Raya Haji Listed in order, except for the Muslim hol- idays, which can occur anytime during the year. Christmas Day falls on a fixed date, but all the others move. 3 A Quick Course in Astronomy The Earth revolves counterclockwise around the Sun in an elliptical orbit. The Earth ro- tates counterclockwise around an axis that is tilted 23.5 degrees. March equinox June December solstice solstice September equinox E E N S N S W W June equi Dec June equi Dec sol sol sol sol Beijing Singapore In the northern hemisphere, the day will be longest at the June solstice and shortest at the December solstice. At the two equinoxes day and night will be equally long. The equi- noxes and solstices are called the seasonal markers. 4 The Year The tropical year (or solar year) is the time from one March equinox to the next. The mean value is 365.2422 days. -
Ocean Data Standards
Manuals and Guides 54 Ocean Data Standards Volume 2 Recommendation to Adopt ISO 8601:2004 as the Standard for the Representation of Date and Time in Oceanographic Data Exchange UNESCO Manuals and Guides 54 Ocean Data Standards Volume 2 Recommendation to Adopt ISO 8601:2004 as the Standard for the Representation of Date and Time in Oceanographic Data Exchange UNESCO 2011 IOC Manuals and Guides, 54, Volume 2 Version 1 January 2011 For bibliographic purposes this document should be cited as follows: Paris. Intergovernmental Oceanographic Commission of UNESCO. 2011.Ocean Data Standards, Vol.2: Recommendation to adopt ISO 8601:2004 as the standard for the representation of dates and times in oceanographic data exchange.(IOC Manuals and Guides, 54, Vol. 2.) 17 pp. (English.)(IOC/2011/MG/54-2) © UNESCO 2011 Printed in France IOC Manuals and Guides No. 54 (2) Page (i) TABLE OF CONTENTS page 1. BACKGROUND ......................................................................................................................... 1 2. DATE AND TIME FOR DATA EXCHANGE ......................................................................... 1 3. INTERNATIONAL STANDARD ISO 8601:2004 .............................................................. 1 4. DATE AND TIME REPRESENTATION................................................................................ 2 4.1 Date ................................................................................................................................................. 2 4.2 Time ............................................................................................................................................... -
Ovid, Fasti 1.63-294 (Translated By, and Adapted Notes From, A
Ovid, Fasti 1.63-294 (translated by, and adapted notes from, A. S. Kline) [Latin text; 8 CE] Book I: January 1: Kalends See how Janus1 appears first in my song To announce a happy year for you, Germanicus.2 Two-headed Janus, source of the silently gliding year, The only god who is able to see behind him, Be favourable to the leaders, whose labours win Peace for the fertile earth, peace for the seas: Be favourable to the senate and Roman people, And with a nod unbar the shining temples. A prosperous day dawns: favour our thoughts and speech! Let auspicious words be said on this auspicious day. Let our ears be free of lawsuits then, and banish Mad disputes now: you, malicious tongues, cease wagging! See how the air shines with fragrant fire, And Cilician3 grains crackle on lit hearths! The flame beats brightly on the temple’s gold, And spreads a flickering light on the shrine’s roof. Spotless garments make their way to Tarpeian Heights,4 And the crowd wear the colours of the festival: Now the new rods and axes lead, new purple glows, And the distinctive ivory chair feels fresh weight. Heifers that grazed the grass on Faliscan plains,5 Unbroken to the yoke, bow their necks to the axe. When Jupiter watches the whole world from his hill, Everything that he sees belongs to Rome. Hail, day of joy, and return forever, happier still, Worthy to be cherished by a race that rules the world. But two-formed Janus what god shall I say you are, Since Greece has no divinity to compare with you? Tell me the reason, too, why you alone of all the gods Look both at what’s behind you and what’s in front. -
The Evolution of the Roman Calendar Dwayne Meisner, University of Regina
The Evolution of the Roman Calendar Dwayne Meisner, University of Regina Abstract The Roman calendar was first developed as a lunar | 290 calendar, so it was difficult for the Romans to reconcile this with the natural solar year. In 45 BC, Julius Caesar reformed the calendar, creating a solar year of 365 days with leap years every four years. This article explains the process by which the Roman calendar evolved and argues that the reason February has 28 days is that Caesar did not want to interfere with religious festivals that occurred in February. Beginning as a lunar calendar, the Romans developed a lunisolar system that tried to reconcile lunar months with the solar year, with the unfortunate result that the calendar was often inaccurate by up to four months. Caesar fixed this by changing the lengths of most months, but made no change to February because of the tradition of intercalation, which the article explains, and because of festivals that were celebrated in February that were connected to the Roman New Year, which had originally been on March 1. Introduction The reason why February has 28 days in the modern calendar is that Caesar did not want to interfere with festivals that honored the dead, some of which were Past Imperfect 15 (2009) | © | ISSN 1711-053X | eISSN 1718-4487 connected to the position of the Roman New Year. In the earliest calendars of the Roman Republic, the year began on March 1, because the consuls, after whom the year was named, began their years in office on the Ides of March. -
Islamic Calendar from Wikipedia, the Free Encyclopedia
Islamic calendar From Wikipedia, the free encyclopedia -at اﻟﺘﻘﻮﻳﻢ اﻟﻬﺠﺮي :The Islamic, Muslim, or Hijri calendar (Arabic taqwīm al-hijrī) is a lunar calendar consisting of 12 months in a year of 354 or 355 days. It is used (often alongside the Gregorian calendar) to date events in many Muslim countries. It is also used by Muslims to determine the proper days of Islamic holidays and rituals, such as the annual period of fasting and the proper time for the pilgrimage to Mecca. The Islamic calendar employs the Hijri era whose epoch was Islamic Calendar stamp issued at King retrospectively established as the Islamic New Year of AD 622. During Khaled airport (10 Rajab 1428 / 24 July that year, Muhammad and his followers migrated from Mecca to 2007) Yathrib (now Medina) and established the first Muslim community (ummah), an event commemorated as the Hijra. In the West, dates in this era are usually denoted AH (Latin: Anno Hegirae, "in the year of the Hijra") in parallel with the Christian (AD) and Jewish eras (AM). In Muslim countries, it is also sometimes denoted as H[1] from its Arabic form ( [In English, years prior to the Hijra are reckoned as BH ("Before the Hijra").[2 .(ﻫـ abbreviated , َﺳﻨﺔ ﻫِ ْﺠﺮﻳّﺔ The current Islamic year is 1438 AH. In the Gregorian calendar, 1438 AH runs from approximately 3 October 2016 to 21 September 2017.[3] Contents 1 Months 1.1 Length of months 2 Days of the week 3 History 3.1 Pre-Islamic calendar 3.2 Prohibiting Nasī’ 4 Year numbering 5 Astronomical considerations 6 Theological considerations 7 Astronomical -
2020 Report of the 2019 Committee to Review the Academic Calendar
Report of the 2019 Committee to Review the Academic Calendar Executive Summary .................................................................................................................... 2 Introduction................................................................................................................................ 5 The Committee ................................................................................................................................... 5 The work of the Committee ................................................................................................................ 5 History of the academic calendar at UChicago .................................................................................... 7 The 2019 landscape ............................................................................................................................ 8 Table 1: Comparison of doctoral student populations, AY97 and AY18........................................................... 9 Table 2. Comparison of faculty at the ranks of Assistant, Associate, and Professor, AY97 and AY18 ................ 9 Stakeholders and Findings........................................................................................................ 10 Excursus 1. Student mental health ................................................................................................... 13 Excursus 2: Leaves-of-absence ......................................................................................................... -
Ancient Rome
Ancient Rome William E. Dunstan ROWMAN & LITTLEFIELD PUBLISHERS, INC. Lanham • Boulder • New York • Toronto • Plymouth, UK ................. 17856$ $$FM 09-09-10 09:17:21 PS PAGE iii Published by Rowman & Littlefield Publishers, Inc. A wholly owned subsidiary of The Rowman & Littlefield Publishing Group, Inc. 4501 Forbes Boulevard, Suite 200, Lanham, Maryland 20706 http://www.rowmanlittlefield.com Estover Road, Plymouth PL6 7PY, United Kingdom Copyright ᭧ 2011 by Rowman & Littlefield Publishers, Inc. All maps by Bill Nelson. All rights reserved. No part of this book may be reproduced in any form or by any electronic or mechanical means, including information storage and retrieval systems, without written permission from the publisher, except by a reviewer who may quote passages in a review. The cover image shows a marble bust of the nymph Clytie; for more information, see figure 22.17 on p. 370. British Library Cataloguing in Publication Information Available Library of Congress Cataloging-in-Publication Data Dunstan, William E. Ancient Rome / William E. Dunstan. p. cm. Includes bibliographical references and index. ISBN 978-0-7425-6832-7 (cloth : alk. paper) ISBN 978-0-7425-6833-4 (pbk. : alk. paper) ISBN 978-0-7425-6834-1 (electronic) 1. Rome—Civilization. 2. Rome—History—Empire, 30 B.C.–476 A.D. 3. Rome—Politics and government—30 B.C.–476 A.D. I. Title. DG77.D86 2010 937Ј.06—dc22 2010016225 ⅜ϱ ீThe paper used in this publication meets the minimum requirements of American National Standard for Information Sciences—Permanence of Paper for Printed Library Materials, ANSI/ NISO Z39.48–1992. Printed in the United States of America ................ -
How Long Is a Year.Pdf
How Long Is A Year? Dr. Bryan Mendez Space Sciences Laboratory UC Berkeley Keeping Time The basic unit of time is a Day. Different starting points: • Sunrise, • Noon, • Sunset, • Midnight tied to the Sun’s motion. Universal Time uses midnight as the starting point of a day. Length: sunrise to sunrise, sunset to sunset? Day Noon to noon – The seasonal motion of the Sun changes its rise and set times, so sunrise to sunrise would be a variable measure. Noon to noon is far more constant. Noon: time of the Sun’s transit of the meridian Stellarium View and measure a day Day Aday is caused by Earth’s motion: spinning on an axis and orbiting around the Sun. Earth’s spin is very regular (daily variations on the order of a few milliseconds, due to internal rearrangement of Earth’s mass and external gravitational forces primarily from the Moon and Sun). Synodic Day Noon to noon = synodic or solar day (point 1 to 3). This is not the time for one complete spin of Earth (1 to 2). Because Earth also orbits at the same time as it is spinning, it takes a little extra time for the Sun to come back to noon after one complete spin. Because the orbit is elliptical, when Earth is closest to the Sun it is moving faster, and it takes longer to bring the Sun back around to noon. When Earth is farther it moves slower and it takes less time to rotate the Sun back to noon. Mean Solar Day is an average of the amount time it takes to go from noon to noon throughout an orbit = 24 Hours Real solar day varies by up to 30 seconds depending on the time of year. -
The Calculation of Doomsday Based on Anno Domini
SCIENTIFIC CULTURE, Vol. 1, No. 2, (2015), pp. 22-32 Copyright © 2015 SC Open Access. Printed in Greece. All Rights Reserved. The calculation of doomsday based on Anno Domini Sepp Rothwangl Waldwirtschaft Hubertushof Scheibsgraben 49, A-8661 Wartberg, Astria (CALENdeRsign.com;[email protected]) Received: 10/01/2015 Accepted: 15/02/2015 ABSTRACT Anno Domini, or the year Christ’s birth, was an invention made some 1400 years ago by Dionysius Exiguus, who adjusted a new Easter Computus in order to avert end time fever with the pretext to solve a dispute upon the correct date of Easter. Right at the beginning of Christianity, early Christians expected in the near future the return of Christ, which was associated with the end of the world, together with the Seventh Day of the Lord. Such a scenario ocurred already in the cosmic year Anno Mundi (AM) 6,000 based upon a teleological concept by interpreting the Bible. AM produced a calendrical end time with its year 6000 due to equating the Six Days of Genesis with the verse of the Bible saying one Day of the Lord was the same as 1000 years of mankind. To combat the end of the world fever caused by this time concept at the beginning of the 6th century Dionysius Exiguus created a new temporal hinge point for counting the years: Anno Domini. Obviously this chronology is not in harmony with ancient historical works, as even former Pope Benedict XVI recognized, but is an end time prophecy by interpreting the Gospel, the Apocalypse, the scientific cosmology of antiquity, and astronomical values. -
The History of School and Summer Vacation
Journal of Inquiry & Action in Education, 5(1), 2012 The History of School and Summer Vacation James Pedersen Seton Hall University For more than 100 years the public school system has been the foundation of our society. Millions of our nation’s citizens have moved through the primary, middle and secondary schools which, although they vary slightly from region to region, provided a shared experience and are a part of Americana. History tells us the reasons that school systems used only a 10 month calendar were due to agrarian needs, but in recent years this rationale does not seem as applicable. In light of global competition and America’s consistently poor international rankings, it would seem logical conclusion to extend the school year to increase instructional time. But the move to year-round schooling isn’t so easy, nor is it unanimously embraced by parents, community members, businesses or politicians. Background For more than 100 years the public school system has been the foundation of our society. Millions of our nation’s citizens have moved through the primary, middle and secondary schools which, although they vary slightly from region to region, provided a shared experience and are a part of Americana. History tells us the reasons that school systems used only a 10-month calendar were due to agrarian needs, but in recent years this rationale does not seem as applicable. In light of global competition and America’s consistently poor international rankings, it would seem a logical conclusion to extend the school year to increase instructional time. But the move to year-round schooling isn’t so easy, nor do parents, community members, businesses or politicians unanimously embrace it. -
Chapter 5 – Date
Chapter 5 – Date Luckily, most of the problems involving time have mostly been solved and packed away in software and hardware where we, and our customers overseas, do not have to deal with it. Thanks to standardization, if a vender in Peking wants to call a customer in Rome, he checks the Internet for the local time. As far as international business goes, it’s generally 24/7 anyway. Calendars on the other hand, are another matter. You may know what time it is in Khövsgöl, Mongolia, but are you sure what day it is, if it is a holiday, or even what year it is? The purpose of this chapter is to make you aware of just how many active calendars there are out there in current use and of the short comings of our Gregorian system as we try to apply it to the rest of the world. There just isn’t room to review them all so think of this as a kind of around the world in 80 days. There are so many different living calendars, and since the Internet is becoming our greatest library yet, a great many ancient ones that must be accounted for as well. We must consider them all in our collations. As I write this in 2010 by the Gregorian calendar, it is 2960 in Northwest Africa, 1727 in Ethopia, and 4710 by the Chinese calendar. A calendar is a symbol of identity. They fix important festivals and dates and help us share a common pacing in our lives. They are the most common framework a civilization or group of people can have. -
Important Dates 2019–2020
2019–2020 CALENDAR FOR BADGER FAMILIES IMPORTANT DATES 2019–2020 University Residence Halls move-in (as assigned) August 31–September 1, 2019 Study day May 2, 2020 Labor Day (no classes) September 2, 2019 Exams begin May 3, 2020 Instruction begins September 4, 2019 Exams end May 8, 2020 Tuition due for fall term September 13, 2019 Commencement Weekend May 8–10, 2020 Fall University Housing payment due September 13, 2019 University Residence Halls close May 10, 2020 Family Weekend October 18–20, 2019 Four-week summer session May 18–June 12, 2020 Thanksgiving recess November 28–December 1, 2019 Three-week summer session May 26–June 12, 2020 Last day of classes December 11, 2019 Eight-week summer session June 15–August 7, 2020 Study day December 12, 2019 Tuition due for summer term June 19, 2020 Exams begin December 13, 2019 Events and deadlines in this calendar are subject to change and are specific to undergraduate students. For additional important dates and events, visit the Parent and Family Program website (parent.wisc.edu) Winter Commencement (no exams) December 15, 2019 or call 1-877-262-3977. Exams end December 19, 2019 University Residence Halls close (at noon) December 20, 2019 University Residence Halls open January 18, 2020 Martin Luther King Jr. Day January 20, 2020 Instruction begins January 21, 2020 Tuition due for spring term January 31, 2020 Spring University Housing payment due January 31, 2020 Spring recess March 14–22, 2020 Last day of classes May 1, 2020 WELCOME Dear Badger Family, Welcome to the University of Wisconsin–Madison! You are a valued member of our community.