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13054-Duodecimal.Pdf
Universal Multiple-Octet Coded Character Set International Organization for Standardization Organisation Internationale de Normalisation Международная организация по стандартизации Doc Type: Working Group Document Title: Proposal to encode Duodecimal Digit Forms in the UCS Author: Karl Pentzlin Status: Individual Contribution Action: For consideration by JTC1/SC2/WG2 and UTC Date: 2013-03-30 1. Introduction The duodecimal system (also called dozenal) is a positional numbering system using 12 as its base, similar to the well-known decimal (base 10) and hexadecimal (base 16) systems. Thus, it needs 12 digits, instead of ten digits like the decimal system. It is used by teachers to explain the decimal system by comparing it to an alternative, by hobbyists (see e.g. fig. 1), and by propagators who claim it being superior to the decimal system (mostly because thirds can be expressed by a finite number of digits in a "duodecimal point" presentation). • Besides mathematical and hobbyist publications, the duodecimal system has appeared as subject in the press (see e.g. [Bellos 2012] in the English newspaper "The Guardian" from 2012-12-12, where the lack of types to represent these digits correctly is explicitly stated). Such examples emphasize the need of the encoding of the digit forms proposed here. While it is common practice to represent the extra six digits needed for the hexadecimal system by the uppercase Latin capital letters A,B.C,D,E,F, there is no such established convention regarding the duodecimal system. Some proponents use the Latin letters T and E as the first letters of the English names of "ten" and "eleven" (which obviously is directly perceivable only for English speakers). -
Number Symbolism in Old Norse Literature
Háskóli Íslands Hugvísindasvið Medieval Icelandic Studies Number Symbolism in Old Norse Literature A Brief Study Ritgerð til MA-prófs í íslenskum miðaldafræðum Li Tang Kt.: 270988-5049 Leiðbeinandi: Torfi H. Tulinius September 2015 Acknowledgements I would like to thank firstly my supervisor, Torfi H. Tulinius for his confidence and counsels which have greatly encouraged my writing of this paper. Because of this confidence, I have been able to explore a domain almost unstudied which attracts me the most. Thanks to his counsels (such as his advice on the “Blóð-Egill” Episode in Knýtlinga saga and the reading of important references), my work has been able to find its way through the different numbers. My thanks also go to Haraldur Bernharðsson whose courses on Old Icelandic have been helpful to the translations in this paper and have become an unforgettable memory for me. I‟m indebted to Moritz as well for our interesting discussion about the translation of some paragraphs, and to Capucine and Luis for their meticulous reading. Any fault, however, is my own. Abstract It is generally agreed that some numbers such as three and nine which appear frequently in the two Eddas hold special significances in Norse mythology. Furthermore, numbers appearing in sagas not only denote factual quantity, but also stand for specific symbolic meanings. This tradition of number symbolism could be traced to Pythagorean thought and to St. Augustine‟s writings. But the result in Old Norse literature is its own system influenced both by Nordic beliefs and Christianity. This double influence complicates the intertextuality in the light of which the symbolic meanings of numbers should be interpreted. -
The Hexadecimal Number System and Memory Addressing
C5537_App C_1107_03/16/2005 APPENDIX C The Hexadecimal Number System and Memory Addressing nderstanding the number system and the coding system that computers use to U store data and communicate with each other is fundamental to understanding how computers work. Early attempts to invent an electronic computing device met with disappointing results as long as inventors tried to use the decimal number sys- tem, with the digits 0–9. Then John Atanasoff proposed using a coding system that expressed everything in terms of different sequences of only two numerals: one repre- sented by the presence of a charge and one represented by the absence of a charge. The numbering system that can be supported by the expression of only two numerals is called base 2, or binary; it was invented by Ada Lovelace many years before, using the numerals 0 and 1. Under Atanasoff’s design, all numbers and other characters would be converted to this binary number system, and all storage, comparisons, and arithmetic would be done using it. Even today, this is one of the basic principles of computers. Every character or number entered into a computer is first converted into a series of 0s and 1s. Many coding schemes and techniques have been invented to manipulate these 0s and 1s, called bits for binary digits. The most widespread binary coding scheme for microcomputers, which is recog- nized as the microcomputer standard, is called ASCII (American Standard Code for Information Interchange). (Appendix B lists the binary code for the basic 127- character set.) In ASCII, each character is assigned an 8-bit code called a byte. -
Duodecimal Bulletin Vol
The Duodecimal Bulletin Bulletin Duodecimal The Vol. 4a; № 2; Year 11B6; Exercise 1. Fill in the missing numerals. You may change the others on a separate sheet of paper. 1 1 1 1 2 2 2 2 ■ Volume Volume nada 3 zero. one. two. three.trio 3 1 1 4 a ; (58.) 1 1 2 3 2 2 ■ Number Number 2 sevenito four. five. six. seven. 2 ; 1 ■ Whole Number Number Whole 2 2 1 2 3 99 3 ; (117.) eight. nine. ________.damas caballeros________. All About Our New Numbers 99;Whole Number ISSN 0046-0826 Whole Number nine dozen nine (117.) ◆ Volume four dozen ten (58.) ◆ № 2 The Dozenal Society of America is a voluntary nonprofit educational corporation, organized for the conduct of research and education of the public in the use of base twelve in calculations, mathematics, weights and measures, and other branches of pure and applied science Basic Membership dues are $18 (USD), Supporting Mem- bership dues are $36 (USD) for one calendar year. ••Contents•• Student membership is $3 (USD) per year. The page numbers appear in the format Volume·Number·Page TheDuodecimal Bulletin is an official publication of President’s Message 4a·2·03 The DOZENAL Society of America, Inc. An Error in Arithmetic · Jean Kelly 4a·2·04 5106 Hampton Avenue, Suite 205 Saint Louis, mo 63109-3115 The Opposed Principles · Reprint · Ralph Beard 4a·2·05 Officers Eugene Maxwell “Skip” Scifres · dsa № 11; 4a·2·08 Board Chair Jay Schiffman Presenting Symbology · An Editorial 4a·2·09 President Michael De Vlieger Problem Corner · Prof. -
Disjunctive Numerals of Estimation
D. Terence Langendoen University of Arizona Disjunctive Numerals of Estimation 1. Introduction English contains a number of expressions of the form m or n, where m and n are numerals, with the meaning ‘from m to n.’ I call such expressions disjunctive numerals of estimation, or DNEs. Examples 1–4 illustrate the use of these expressions: (1) My family’s been waiting four or five hours for a flight to Florianopolis. (2) This saying has fifteen or twenty meanings. (3) Let me have thirty or forty dollars. (4) Your call will be answered in the next ten or twenty minutes. Example 1 may be used to assert that my family has been waiting from 4 to 5 hours, not for either exactly 4 or exactly 5 hours. More precisely, one should say that the expression is ambiguous between, on the one hand, an exact or literal interpretation of four or five, in which my family is said to have been waiting either 4 or 5 hours and not some intermediate amount of time (such as 4 hours and 30 minutes) and, on the other hand, an idiomatic “estimation” interpretation of four or five, in which my family is said to have been waiting from 4 to 5 hours; and one should also say that the second interpretation is much more likely to be given to the sentence than the first. The range interpretation of DNEs is even clearer in examples 2–4, where the interval between m and n is greater than 1. For example, sentence 2 under this interpretation is true if the number of meanings of the saying in question has any value from 15 to 20 and is false otherwise, similarly for examples 3 and 4. -
2 1 2 = 30 60 and 1
Math 153 Spring 2010 R. Schultz SOLUTIONS TO EXERCISES FROM math153exercises01.pdf As usual, \Burton" refers to the Seventh Edition of the course text by Burton (the page numbers for the Sixth Edition may be off slightly). Problems from Burton, p. 28 3. The fraction 1=6 is equal to 10=60 and therefore the sexagesimal expression is 0;10. To find the expansion for 1=9 we need to solve 1=9 = x=60. By elementary algebra this means 2 9x = 60 or x = 6 3 . Thus 6 2 1 6 40 1 x = + = + 60 3 · 60 60 60 · 60 which yields the sexagsimal expression 0; 10; 40 for 1/9. Finding the expression for 1/5 just amounts to writing this as 12/60, so the form here is 0;12. 1 1 30 To find 1=24 we again write 1=24 = x=60 and solve for x to get x = 2 2 . Now 2 = 60 and therefore we can proceed as in the second example to conclude that the sexagesimal form for 1/24 is 0;2,30. 1 One proceeds similarly for 1/40, solving 1=40 = x=60 to get x = 1 2 . Much as in the preceding discussion this yields the form 0;1,30. Finally, the same method leads to the equation 5=12 = x=60, which implies that 5/12 has the sexagesimal form 0;25. 4. We shall only rewrite these in standard base 10 fractional notation. The answers are in the back of Burton. (a) The sexagesimal number 1,23,45 is equal to 1 3600 + 23 60 + 45. -
Generic CMYK Printer Profile Composite Default Screen
Color profile: Generic CMYK printer profile Composite Default screen C:\Jobs\Bibliography 2002\Vp\Bibliography.vp Tuesday, December 08, 2009 3:31:45 PM Color profile: Generic CMYK printer profile Composite Default screen Additional copies of this publication may be obtained from: Academic Affairs P.O. Box 2270 CPO 1099 Manila or: [email protected] Ó Summer Institute of Linguistics Philippines, Inc. 1978, 1985, 1988, 2003 All rights reserved. First edition 1978 Fourth edition 2003 Bibliography of the Summer Institute of Linguistics Philippines 1953-2003 ISBN: 971-18-0370-4 0203-4C Printed in the Philippines C:\Jobs\Bibliography 2002\Vp\Bibliography.vp Tuesday, December 08, 2009 3:31:45 PM Color profile: Generic CMYK printer profile Composite Default screen Contents Foreword ...................... xvii OfficialLetters .................... xix Preface ....................... xxiii Introduction ..................... xxv VariantLanguageNames .............. xxvii VariantAuthorNames................ xxxi ListofJournals .................. xxxiii PublisherandInstitutionAbbreviations ...... xxxix GeneralAbbreviations ................ xli Map ......................... xlii General ........................ 1 Anthropology . 1 Linguistics . 3 Literacy and Literature Use . 9 Translation . 11 Various . 16 PhilippineGeneral .................. 23 Anthropology. 23 Linguistics . 28 Literacy and Literature Use . 37 Translation . 40 Various . 40 Working Papers. 42 Agta:Casiguran(Dumagat) .............. 42 Anthropology. 42 Linguistics . 44 Literacy and -
Duodecimal Bulletin Proof
5; B ; 3 page 1 page Whole Number 98; ; № 1; Year 11 a Vol. 4 ISSN 0046-0826 Reflections on the DSGB on the Reflections The Duodecimal Bulletin ■ Volume 4a; (58.) ■ Number 1; ■ Whole Number 98; (116.) ■ Year 11b5; (2009.) Whole Number nine dozen eight (116.) ◆ Volume four dozen ten (58.) ◆ № 1 The Dozenal Society of America is a voluntary nonprofit educational corporation, organized for the conduct of research and education of the public in the use of base twelve in calculations, mathematics, weights and measures, and other branches of pure and applied science Membership dues are $12 (USD) for one calendar year. ••Contents•• Student membership is $3 (USD) per year. The page numbers appear in the format Volume·Number·Page TheDuodecimal Bulletin is an official publication of President’s Message 4a·1·03 The DOZENAL Society of America, Inc. Join us for the 11b5; (2009.) Annual Meeting! 4a·1·04 5106 Hampton Avenue, Suite 205 Minutes of the October 11b4; (2008.) Board Meeting 4a·1·05 Saint Louis, mo 63109-3115 Ralph Beard Memorial Award 11b4; (2008.) 4a·1·06 Officers An Obituary: Mr. Edmund Berridge 4a·1·07 Board Chair Jay Schiffman President Michael De Vlieger Minutes of the October 11b4; (2008.) Membership Meeting 4a·1·08 Vice President John Earnest A Dozenal Nomenclature · Owen G. Clayton, Ph.D. 4a·1·09 Secretary Christina D’Aiello-Scalise Problem Corner · Prof. Gene Zirkel 4a·1·0b Treasurer Ellen Tufano Metric Silliness Continues · Jean Kelly 4a·1·0b Editorial Office The Mailbag · Charles Dale · Ray Greaves · Dan Dault · Dan Simon 4a·1·10 Michael T. -
About Numbers How These Basic Tools Appeared and Evolved in Diverse Cultures by Allen Klinger, Ph.D., New York Iota ’57
About Numbers How these Basic Tools Appeared and Evolved in Diverse Cultures By Allen Klinger, Ph.D., New York Iota ’57 ANY BIRDS AND Representation of quantity by the AUTHOR’S NOTE insects possess a The original version of this article principle of one-to-one correspondence 1 “number sense.” “If is on the web at http://web.cs.ucla. was undoubtedly accompanied, and per- … a bird’s nest con- edu/~klinger/number.pdf haps preceded, by creation of number- mtains four eggs, one may be safely taken; words. These can be divided into two It was written when I was a fresh- but if two are removed, the bird becomes man. The humanities course had an main categories: those that arose before aware of the fact and generally deserts.”2 assignment to write a paper on an- the concept of number unrelated to The fact that many forms of life “sense” thropology. The instructor approved concrete objects, and those that arose number or symmetry may connect to the topic “number in early man.” after it. historic evolution of quantity in differ- At a reunion in 1997, I met a An extreme instance of the devel- classmate from 1954, who remem- ent human societies. We begin with the bered my paper from the same year. opment of number-words before the distinction between cardinal (counting) As a pack rat, somehow I found the abstract concept of number is that of the numbers and ordinal ones (that show original. Tsimshian language of a tribe in British position as in 1st or 2nd). -
Curiosities Regarding the Babylonian Number System
Curiosities Regarding the Babylonian Number System Sherwin Doroudi April 12, 2007 By 2000 bce the Babylonians were already making significant progress in the areas of mathematics and astronomy and had produced many elaborate mathematical tables on clay tablets. Their sexagecimal (base-60) number system was originally inherited from the Sumerian number system dating back to 3500 bce. 1 However, what made the Babylonian number system superior to its predecessors, such as the Egyptian number system, was the fact that it was a positional system not unlike the decimal system we use today. This innovation allowed for the representation of numbers of virtually any size by reusing the same set of symbols, while also making it easier to carry out arithmetic operations on larger numbers. Its superiority was even clear to later Greek astronomers, who would use the sexagecimal number system as opposed to their own native Attic system (the direct predecessor to Roman numerals) when making calculations with large numbers. 2 Most other number systems throughout history have made use of a much smaller base, such as five (quinary systems), ten (decimal systems), or in the case of the Mayans, twenty (vigesimal systems), and such choices for these bases are all clearly related to the fingers on the hands. The choice (though strictly speaking, it's highly unlikely that any number system was directly \chosen") of sixty is not immediately apparent, and at first, it may even seem that sixty is a somewhat large and unwieldy number. Another curious fact regarding the ancient number system of the Babylonians is that early records do not show examples of a \zero" or null place holder, which is an integral part of our own positional number system. -
Sino-Tibetan Numeral Systems: Prefixes, Protoforms and Problems
Sino-Tibetan numeral systems: prefixes, protoforms and problems Matisoff, J.A. Sino-Tibetan Numeral Systems: Prefixes, Protoforms and Problems. B-114, xii + 147 pages. Pacific Linguistics, The Australian National University, 1997. DOI:10.15144/PL-B114.cover ©1997 Pacific Linguistics and/or the author(s). Online edition licensed 2015 CC BY-SA 4.0, with permission of PL. A sealang.net/CRCL initiative. PACIFIC LINGUISTICS FOUNDING EDITOR: Stephen A. Wunn EDITORIAL BOARD: Malcolm D. Ross and Darrell T. Tryon (Managing Editors), Thomas E. Dutton, Nikolaus P. Himmelmann, Andrew K. Pawley Pacific Linguistics is a publisher specialising in linguistic descriptions, dictionaries, atlases and other material on languages of the Pacific, the Philippines, Indonesia and southeast Asia. The authors and editors of Pacific Linguistics publications are drawn from a wide range of institutions around the world. Pacific Linguistics is associated with the Research School of Pacific and Asian Studies at the Australian National University. Pacific Linguistics was established in 1963 through an initial grant from the Hunter Douglas Fund. It is a non-profit-making body financed largely from the sales of its books to libraries and individuals throughout the world, with some assistance from the School. The Editorial Board of Pacific Linguistics is made up of the academic staff of the School's Department of Linguistics. The Board also appoints a body of editorial advisors drawn from the international community of linguists. Publications in Series A, B and C and textbooks in Series D are refereed by scholars with re levant expertise who are normally not members of the editorial board. -
Binary Convert to Decimal Excel If Statement
Binary Convert To Decimal Excel If Statement Chloric and unrectified Jedediah disobeys his staging outstrikes incrassating forte. Forster enshrining paratactically as rachidial Tanner quitebugle dimensional. her gyrons symbolized bifariously. Corollary Wake bequeath no megalopolitan regrate flirtatiously after Matty reprogram eventually, The same result you sure all the excel convert to decimal one formula to convert function and returns the page has no carry out the intermediate results to convert function in text! How to Convert Binary to Decimal Tutorialspoint. Does things a binary convert to decimal excel if statement is to. Statistics cells are selected go to Format--Cells to fight all numbers to celebrate one decimal point. 3 it returns 15 so to dim this stretch can use int type conversion in python. String or use a guide to refer to be empty and to excel mathematical symbols in the result by hardware to use to word into an investment that has an option. 114 Decimals Floats and Floating Point Arithmetic Hands. The Excel BIN2DEC function converts a binary number give the decimal equivalent. How arrogant you change layout width mode fit the contents? In four example the conditional statement reads if an above 1 then show. Text Operations Convert DataColumn To Comma Separate List from Excel The. Solved Using Excel Build A Decimal To bit Binary Conve. If the conversion succeeds it will return the even value after conversion. How slick you format long text field Excel? Type Conversion Tableau Tableau Help Tableau Software. Excel formula convert fear to binary. I have tried to bleed making statements about floating-point without being giving.