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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. -
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 -
The Milesian Calendar in Short
The Milesian calendar in short Quick description The Milesian calendar is a solar calendar, with weighted months, in phase with seasons. It enables you to understand and take control of the Earth’s time. The next picture represents the Milesian calendar with the mean solstices and equinoxes. Leap days The leap day is the last day of the year, it is 31 12m or 12m 31 (whether you use British or American English). This day comes just before a leap year. Years The Milesian years are numbered as the Gregorian ones. However, they begin 10 or 11 days earlier. 1 Firstem Y (1 1m Y) corresponds to 21 December Y-1 when Y is a common year, like 2019. But it falls on 22 December Y-1 when Y is a leap year like 2020. The mapping between Milesian and Gregorian dates is shifted by one for 71 days during “leap winters”, i.e. from 31 Twelfthem to 9 Thirdem. 10 Thirdem always falls on 1 March, and each following Milesian date always falls on a same Gregorian date. Miletus S.A.R.L. – 32 avenue Théophile Gautier – 75016 Paris RCS Paris 750 073 041 – Siret 750 073 041 00014 – APE 7022Z Date conversion with the Gregorian calendar The first day of a Milesian month generally falls on 22 of the preceding Gregorian month, e.g.: 1 Fourthem (1 4m) falls on 22 March, 1 Fifthem (1 5m) on 22 April etc. However: • 1 Tenthem (1 10m) falls on 21 September; • 1 12m falls on 21 November; • 1 1m of year Y falls on 21 December Y-1 if Y is a common year, but on 22 December if Y is a leap year; • 1 2m and 1 3m falls on 21 January and 21 February in leap years, 20 January and 20 February in common years. -
Calendrical Calculations: Third Edition
Notes and Errata for Calendrical Calculations: Third Edition Nachum Dershowitz and Edward M. Reingold Cambridge University Press, 2008 4:00am, July 24, 2013 Do I contradict myself ? Very well then I contradict myself. (I am large, I contain multitudes.) —Walt Whitman: Song of Myself All those complaints that they mutter about. are on account of many places I have corrected. The Creator knows that in most cases I was misled by following. others whom I will spare the embarrassment of mention. But even were I at fault, I do not claim that I reached my ultimate perfection from the outset, nor that I never erred. Just the opposite, I always retract anything the contrary of which becomes clear to me, whether in my writings or my nature. —Maimonides: Letter to his student Joseph ben Yehuda (circa 1190), Iggerot HaRambam, I. Shilat, Maaliyot, Maaleh Adumim, 1987, volume 1, page 295 [in Judeo-Arabic] Cuiusvis hominis est errare; nullius nisi insipientis in errore perseverare. [Any man can make a mistake; only a fool keeps making the same one.] —Attributed to Marcus Tullius Cicero If you find errors not given below or can suggest improvements to the book, please send us the details (email to [email protected] or hard copy to Edward M. Reingold, Department of Computer Science, Illinois Institute of Technology, 10 West 31st Street, Suite 236, Chicago, IL 60616-3729 U.S.A.). If you have occasion to refer to errors below in corresponding with the authors, please refer to the item by page and line numbers in the book, not by item number. -
DFDL WG Stephen M Hanson, IBM [email protected] September 2014
GFD-P-R.207 (OBSOLETED by GFD-P-R.240) Michael J Beckerle, Tresys Technology OGF DFDL WG Stephen M Hanson, IBM [email protected] September 2014 Data Format Description Language (DFDL) v1.0 Specification Status of This Document Grid Final Draft (GFD) Obsoletes This document obsoletes GFD-P-R.174 dated January 2011 [OBSOLETE_DFDL]. Copyright Notice Copyright © Global Grid Forum (2004-2006). Some Rights Reserved. Distribution is unlimited. Copyright © Open Grid Forum (2006-2014). Some Rights Reserved. Distribution is unlimited Abstract This document is OBSOLETE. It is superceded by GFD-P-R.240. This document provides a definition of a standard Data Format Description Language (DFDL). This language allows description of text, dense binary, and legacy data formats in a vendor- neutral declarative manner. DFDL is an extension to the XML Schema Description Language (XSDL). GFD-P-R.207 (OBSOLETED by GFD-P-R.240) September 2014 Contents Data Format Description Language (DFDL) v1.0 Specification ...................................................... 1 1. Introduction ............................................................................................................................... 9 1.1 Why is DFDL Needed? ................................................................................................... 10 1.2 What is DFDL? ................................................................................................................ 10 Simple Example ...................................................................................................... -
THIRTEEN MOONS in MOTION: a Dreamspell Primer
© Galactic Research Institute of the Foundation for the Law of Time - www.lawoftime.org THIRTEEN MOONS IN MOTION: A Dreamspell Primer “Just as air is the atmosphere of the body, so time is the atmosphere of the mind; if the time in which we live consists of uneven months and days regulated by mechanized minutes and hours, that is what becomes of our mind: a mechanized irregularity. Since everything follows from mind, it is no wonder that The atmosphere in which we live daily becomes more polluted, And the greatest complaint is: ‘I just don’t have enough time!’ Who owns your time, owns your mind. Own your own time and you will know your own mind.” Foundation for the Law of Time www.lawoftime.org © Galactic Research Institute of the Foundation for the Law of Time - www.lawoftime.org 13-Moon Planetary Kin Starter Calendar 3 A Season Of Apocalypses: The Gregorian Calendar Unmasked A 13-Moon Postscript to the Mayan Factor 1. Thinking about the Unthinkable Of all the unexamined assumptions and criteria upon which we base and gauge our daily lives as human beings on planet Earth, by far the greatest and most profoundly unquestioned is the instrument and institution known as the Gregorian Calendar. A calendar, any calendar, is commonly understood as a system for dividing time over extended periods. A day is the base unit of a calendar, and the solar year is the base extended period. The length of the solar year is currently reckoned at 365.242199 days. The Gregorian calendar divides this duration into twelve uneven months – four months of 30 days, seven of 31 days, and one of 28 days. -
Calendar and Community This Page Intentionally Left Blank Calendar and Community
Calendar and Community This page intentionally left blank Calendar and Community A History of the Jewish Calendar, Second Century BCE–Tenth Century CE Sacha Stern Great Clarendon Street, Oxford OX2 6DP Oxford University Press is a department of the University of Oxford It furthers the University's objective of excellence in research, scholarship, and education by publishing worldwide in Oxford New York Auckland Bangkok Buenos Aires Cape Town Chennai Dar es Salaam Delhi Hong Kong Istanbul Karachi Kolkata Kuala Lumpur Madrid Melbourne Mexico City Mumbai Nairobi São Paulo Shanghai Taipei Tokyo Toronto Oxford is a registered trade mark of Oxford University Press in the UK and in certain other countries Published in the United States by Oxford University Press Inc., New York © Sacha Stern 2001 The moral rights of the authors have been asserted Database right Oxford University Press (maker) First published 2001 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission in writing of Oxford University Press, or as expressly permitted by law, or under terms agreed with the appropriate reprographics rights organization. Enquiries concerning reproduction outside the scope of the above should be sent to the Rights Department, Oxford University Press, at the address above You must not circulate this book in any other binding or cover and you must impose this same condition on any acquirer British Library Cataloguing in Publication Data Data available Library of Congress Cataloging-in-Publication Data Data applied for ISBN 0-19-827034-8 Preface Calendar reckoning is not just a technical pursuit: it is fundamental to social interaction and communal life. -
The Indian Luni-Solar Calendar and the Concept of Adhik-Maas
Volume -3, Issue-3, July 2013 The Indian Luni-Solar Calendar and the giving rise to alternative periods of light and darkness. All human and animal life has evolved accordingly, Concept of Adhik-Maas (Extra-Month) keeping awake during the day-light but sleeping through the dark nights. Even plants follow a daily rhythm. Of Introduction: course some crafty beings have turned nocturnal to take The Hindu calendar is basically a lunar calendar and is advantage of the darkness, e.g., the beasts of prey, blood– based on the cycles of the Moon. In a purely lunar sucker mosquitoes, thieves and burglars, and of course calendar - like the Islamic calendar - months move astronomers. forward by about 11 days every solar year. But the Hindu calendar, which is actually luni-solar, tries to fit together The next natural clock in terms of importance is the the cycle of lunar months and the solar year in a single revolution of the Earth around the Sun. Early humans framework, by adding adhik-maas every 2-3 years. The noticed that over a certain period of time, the seasons concept of Adhik-Maas is unique to the traditional Hindu changed, following a fixed pattern. Near the tropics - for lunar calendars. For example, in 2012 calendar, there instance, over most of India - the hot summer gives way were 13 months with an Adhik-Maas falling between to rain, which in turn is followed by a cool winter. th th August 18 and September 16 . Further away from the equator, there were four distinct seasons - spring, summer, autumn, winter. -
PDF New Earth Calendar
Register Free To Download Files | File Name : New Earth Calendar PDF NEW EARTH CALENDAR Calendario Calendario mural, 1 julio 2011 Author : Eckhart Tolle A 'must have' annual purchase. Another excellent Tolle calendar, stunning photography and artistically put together with a sympathy for the colour of the changing seasons. Love the big writing area. The only downside is that it is US design so you get the Saturday & Sunday at opposing ends of each line rather than together, and of course the special days are US ones not UK. peaceful Great Prices on Weekly Monthly Calendar & More Seasonal Items. Shop Now and Save! Buy Weekly Monthly Calendar & More Sesonal Items. Shop Weekly Monthly Calendar at Target.com","adext":{"sitelinks":{"l":[],"tid":""},"tid":"1"},"ae":null,"c":"https://duckduckgo.com/y.js?ad _provider=bingv7aa&eddgt=dtx%2Dx39vZ0X9UQau43aenw%3D%3D&rut=497c4eb92f62c2dd76 25b3fedf46e6956c1ecc48947c5fe8be4f24ba82b9cf31&u3=https%3A%2F%2Fwww.bing.com%2F aclick%3Fld%3De8AW45I2MOJMOdasszIyE2TTVUCUzhy8H8Ytm1erbKUsB4le_2JXvAWAFgUg cATKMYVGvXIriE21_M3WCVxpjhIs8Ag%2DQF%2DLidymDJrmRr8ZIHpTzk9G7BapwTXRr8sltG WfZ4seXtfGaFYvYPWkVjkKUtWzPyui7_lkVDfm8nGkGdhPrqoR6S_TLIAxdt9y8bwWh5fQ%26u% 3DaHR0cHMlM2ElMmYlMmZjbGlja3NlcnZlLmRhcnRzZWFyY2gubmV0JTJmbGluayUyZmNsaWN rJTNmbGlkJTNkNDM3MDAwMTEwNTI0MjI1MzYlMjZkc19zX2t3Z2lkJTNkNTg3MDAwMDA3OTA 5NTk4MTQlMjZkc19hX2NpZCUzZDQwNTQ4ODM2NCUyNmRzX2FfY2FpZCUzZDkyMTc2OTgx NzAlMjZkc19hX2FnaWQlM2Q5MjQwNzc4MDk2NiUyNmRzX2FfbGlkJTNka3dkLTI5NDc2ODk1O DkyNiUyNiUyNmRzX2VfYWRpZCUzZDgxMjI2NDkzMDAyNjIyJTI2ZHNfZV90YXJnZXRfaWQlM2R -
Dreamspell: the Sirius Code Revealed
© Galactic Research Institute of the Foundation for the Law of Time - www.lawoftime.org Rinri Project Newsletter III Mystery of the Stone Edition Volume 3, No. 1 Special Issue Dreamspell: The Sirius Code Revealed FOUNDATION FOR THE LAW OF TIME PO Box 156 Ashland, Oregon 97520, USA +1.541.488.0714 www.lawoftime.org | [email protected] © Galactic Research Institute of the Foundation for the Law of Time - www.lawoftime.org © Galactic Research Institute of the Foundation for the Law of Time - www.lawoftime.org Rinri Project Newsletter III, Mystery of the Stone Edition, Volume 3, No. 1 Special Issue: Dreamspell: The Sirius Code Revealed 52, Number of the Sirius Code “You know that Sirius is a double Universe star. Each galaxy is connected to this star by the order it has created in its own structure … “The rotation period of small Sirius B around big Sirius A is 52 world years. During the time of the Hierarchical Order, since the direct Cosmic Currents used to fall directly on the orbit of your planet, Cosmic Awakening used to correspond mostly around these ages {52-year cycles} … (The Knowledge Book, p.287) “The Sirius Mission is responsible only for the supervision of your Milky Way Galaxy … The Sirius Mission is responsible for uniting solar systems within itself, as a necessity of the Unified Field … — “By the Command of the Central System, Notice from the Section of the Unification of Matter,” Postulates 40 and 42, The Knowledge Book, p. 46) This information about Sirius taps us directly into the Sirius High Command, giving us a whole new comprehension of the Law of Time and the Galactic Mayan system of mathematics and time synchronization. -
Melammu: the Ancient World in an Age of Globalization Max Planck Research Library for the History and Development of Knowledge
Melammu: The Ancient World in an Age of Globalization Max Planck Research Library for the History and Development of Knowledge Series Editors Ian T. Baldwin, Jürgen Renn, Dagmar Schäfer, Robert Schlögl, Bernard F. Schutz Edition Open Access Development Team Lindy Divarci, Nina Ruge, Matthias Schemmel, Kai Surendorf Scientific Board Markus Antonietti, Antonio Becchi, Fabio Bevilacqua, William G. Boltz, Jens Braarvik, Horst Bredekamp, Jed Z. Buchwald, Olivier Darrigol, Thomas Duve, Mike Edmunds, Fynn Ole Engler, Robert K. Englund, Mordechai Feingold, Rivka Feldhay, Gideon Freudenthal, Paolo Galluzzi, Kostas Gavroglu, Mark Geller, Domenico Giulini, Günther Görz, Gerd Graßhoff, James Hough, Man- fred Laubichler, Glenn Most, Klaus Müllen, Pier Daniele Napolitani, Alessandro Nova, Hermann Parzinger, Dan Potts, Sabine Schmidtke, Circe Silva da Silva, Ana Simões, Dieter Stein, Richard Stephenson, Mark Stitt, Noel M. Swerdlow, Liba Taub, Martin Vingron, Scott Walter, Norton Wise, Gerhard Wolf, Rüdiger Wolfrum, Gereon Wolters, Zhang Baichun Proceedings 7 Edition Open Access 2014 Melammu The Ancient World in an Age of Globalization Edited by Markham J. Geller (with the cooperation of Sergei Ignatov and Theodor Lekov) Edition Open Access 2014 Max Planck Research Library for the History and Development of Knowledge Proceedings 7 Proceedings of the Sixth Symposium of the Melammu Project, held in Sophia, Bulgaria, September 1–3, 2008. Communicated by: Jens Braarvig Edited by: Markham J. Geller Editorial Team: Lindy Divarci, Beatrice Hermann, Linda Jauch -
Calendars and the History of Time Rob Waring
Level 1 - 1 Calendars and the History of Time Rob Waring Summary This book is about calendars and how they began. Contents Before Reading Think Ahead ........................................................... 2 Vocabulary .............................................................. 3 During Reading Comprehension ...................................................... 5 After Reading Think About It ........................................................ 8 Before Reading Think Ahead Look at the picture and answer the questions. crop time zones Anno Domini equator calendar 1. What goes around the center of the earth? 2. What do farmers grow for food? 3. What shows all the days in a month? 4. Is the current year AD or BC? 2 World History Readers Before Reading Vocabulary A Read and match. 1. 5+1=9 a. invent 2. b. seasons 3. c. Buddhist 4. d. inaccurate 5. e. hunter 6. f. farmer 7. g. minute 8. h. leap Calendars and the History of Time 3 Before Reading B Write the word for each definition. accurate predict ancient measure complicated 1. to find the size, weight, amount, or speed of something 2. not easy 3. to say that an event will happen in the future 4. correct or right 5. very old C Choose the word that means about the same as the underlined words. 1. Time is measured using hours from the point at which time zones are based in London. a. International Date Line b. Greenwich Mean Time c. equator d. schedule 2. For the Gregorian calendar, three “leap days” are taken out every 400 years. a. found b. invented c. removed d. predicted 3. BC means time Before Christ. a. depends on b. refers to c. measure after d.