Roman Numerals
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ISO Basic Latin Alphabet
ISO basic Latin alphabet The ISO basic Latin alphabet is a Latin-script alphabet and consists of two sets of 26 letters, codified in[1] various national and international standards and used widely in international communication. The two sets contain the following 26 letters each:[1][2] ISO basic Latin alphabet Uppercase Latin A B C D E F G H I J K L M N O P Q R S T U V W X Y Z alphabet Lowercase Latin a b c d e f g h i j k l m n o p q r s t u v w x y z alphabet Contents History Terminology Name for Unicode block that contains all letters Names for the two subsets Names for the letters Timeline for encoding standards Timeline for widely used computer codes supporting the alphabet Representation Usage Alphabets containing the same set of letters Column numbering See also References History By the 1960s it became apparent to thecomputer and telecommunications industries in the First World that a non-proprietary method of encoding characters was needed. The International Organization for Standardization (ISO) encapsulated the Latin script in their (ISO/IEC 646) 7-bit character-encoding standard. To achieve widespread acceptance, this encapsulation was based on popular usage. The standard was based on the already published American Standard Code for Information Interchange, better known as ASCII, which included in the character set the 26 × 2 letters of the English alphabet. Later standards issued by the ISO, for example ISO/IEC 8859 (8-bit character encoding) and ISO/IEC 10646 (Unicode Latin), have continued to define the 26 × 2 letters of the English alphabet as the basic Latin script with extensions to handle other letters in other languages.[1] Terminology Name for Unicode block that contains all letters The Unicode block that contains the alphabet is called "C0 Controls and Basic Latin". -
Ancient Indian Mathematical Evolution Since Counting
Journal of Statistics and Mathematical Engineering e-ISSN: 2581-7647 Volume 5 Issue 3 Ancient Indian Mathematical Evolution since Counting 1 2 Sankar Prasad Mukherjee , Sandip Ghanta* 1Research Guide, 2Research Scholar 1,2Department of Mathematics, Seacom Skills University, Kolkata, West Bengal, India Email: *[email protected] DOI: Abstract This paper is an endeavor how chronologically since inception and into growth of mathematics occurred in Ancient India with an effort of counting to establish the numeral system through different ages, i.e., Rigveda, Yajurvada, Buddhist, Indo-Bactrian, Bramhi, Gupta and Devanagari Periods. Ancient India’s such contribution was of immense value helped to accelerate the progress of Mathematical development up to modern age as we see today. Keywords: Brahmi numerals, centesimal scale, devanagari, rigveda, kharosthi numerals, yajurveda INTRODUCTION main striking feature being counting and This research paper is an endeavor to evolution of numeral system thereby. synchronize all the historical research with essence of pre-historic and post-historic Mathematical Evolution in Vedic Period respectively interwoven into a texture of Decimal Number System in the Rigveda evolution process of Mathematics. The first Numbers are represented in decimal system form of writing human race was not (i.e., base 10) in the Rigveda, in all other literature but Mathematics. Arithmetic Vedic treatises, and in all subsequent Indian what is today was felt as an essential need texts. No other base occurs in ancient for day to day necessity of human race. In Indian texts, except a few instances of base various countries at various point of time, 100 (or higher powers of 10). -
Bana Braille Codes Update 2007
BANA BRAILLE CODES UPDATE 2007 Developed Under the Sponsorship of the BRAILLE AUTHORITY OF NORTH AMERICA Effective Date: January 1, 2008 BANA MEMBERS American Council of the Blind American Foundation for the Blind American Printing House for the Blind Associated Services for the Blind and Visually Impaired Association for Education and Rehabilitation of the Blind and Visually Impaired Braille Institute of America California Transcribers and Educators of the Visually Handicapped Canadian Association of Educational Resource Centres for Alternate Format Materials The Clovernook Center for the Blind and Visually Impaired CNIB (Canadian National Institute for the Blind) National Braille Association National Braille Press National Federation of the Blind National Library Service for the Blind and Physically Handicapped, Library of Congress Royal New Zealand Foundation of the Blind. Associate Member Publications Committee Susan Christensen, Chairperson Judy Dixon, Board Liaison Bob Brasher Warren Figueiredo Sandy Smith Joanna E. Venneri Copyright © by the Braille Authority of North America. This material may be duplicated but not altered. This document is available for download in various formats from www.brailleauthority.org. 2 TABLE OF CONTENTS INTRODUCTION ENGLISH BRAILLE, AMERICAN EDITION, REVISED 2002 ....... L1 Table of Changes.................................................................. L2 Definition of Braille ............................................................... L3 Rule I: Punctuation Signs .....................................................L13 -
Arabic Numeral
CHAPTER 4 Number Representation and Calculation Copyright © 2015, 2011, 2007 Pearson Education, Inc. Section 4.4, Slide 1 4.4 Looking Back at Early Numeration Systems Copyright © 2015, 2011, 2007 Pearson Education, Inc. Section 4.4, Slide 2 Objectives 1. Understand and use the Egyptian system. 2. Understand and use the Roman system. 3. Understand and use the traditional Chinese system. 4. Understand and use the Ionic Greek system. Copyright © 2015, 2011, 2007 Pearson Education, Inc. Section 4.4, Slide 3 The Egyptian Numeration System The Egyptians used the oldest numeration system called hieroglyphic notation. Copyright © 2015, 2011, 2007 Pearson Education, Inc. Section 4.4, Slide 4 Example: Using the Egyptian Numeration System Write the following numeral as a Hindu-Arabic numeral: Solution: Using the table, find the value of each of the Egyptian numerals. Then add them. 1,000,000 + 10,000 + 10,000 + 10 + 10 + 10 + 1 + 1 + 1 + 1 = 1,020,034 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Section 4.4, Slide 5 Example: Using the Egyptian Numeration System Write 1752 as an Egyptian numeral. Solution: First break down the Hindu-Arabic numeral into quantities that match the Egyptian numerals: 1752 = 1000 + 700 + 50 + 2 = 1000 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 10 + 10 + 10 + 10 + 10 + 1 + 1 Now use the table to find the Egyptian symbol that matches each quantity. Thus, 1752 can be expressed as Copyright © 2015, 2011, 2007 Pearson Education, Inc. Section 4.4, Slide 6 The Roman Numeration System Roman I V X L C D M Numeral Hindu- 1 5 10 50 100 500 1000 Arabic Numeral The Roman numerals were used until the eighteenth century and are still commonly used today for outlining, on clocks, and in numbering some pages in books. -
Characters for Classical Latin
Characters for Classical Latin David J. Perry version 13, 2 July 2020 Introduction The purpose of this document is to identify all characters of interest to those who work with Classical Latin, no matter how rare. Epigraphers will want many of these, but I want to collect any character that is needed in any context. Those that are already available in Unicode will be so identified; those that may be available can be debated; and those that are clearly absent and should be proposed can be proposed; and those that are so rare as to be unencodable will be known. If you have any suggestions for additional characters or reactions to the suggestions made here, please email me at [email protected] . No matter how rare, let’s get all possible characters on this list. Version 6 of this document has been updated to reflect the many characters of interest to Latinists encoded as of Unicode version 13.0. Characters are indicated by their Unicode value, a hexadecimal number, and their name printed IN SMALL CAPITALS. Unicode values may be preceded by U+ to set them off from surrounding text. Combining diacritics are printed over a dotted cir- cle ◌ to show that they are intended to be used over a base character. For more basic information about Unicode, see the website of The Unicode Consortium, http://www.unicode.org/ or my book cited below. Please note that abbreviations constructed with lines above or through existing let- ters are not considered separate characters except in unusual circumstances, nor are the space-saving ligatures found in Latin inscriptions unless they have a unique grammatical or phonemic function (which they normally don’t). -
Crowdsourcing
CROWDSOURCING The establishment of the ZerOrigIndia Foundation is predicated on a single premise, namely, that our decades-long studies indicate that there are sound reasons to assume that facilitating further independent scientific research into the origin of the zero digit as numeral may lead to theoretical insights and practical innovations equal to or perhaps even exceeding the revolutionary progress to which the historic emergence of the zero digit in India somewhere between 200 BCE and 500 CE has led across the planet, in the fields of mathematics, science and technology since its first emergence. No one to date can doubt the astounding utility of the tenth and last digit to complete the decimal system, yet the origin of the zero digit is shrouded in mystery to this day. It is high time, therefore, that a systematic and concerted effort is undertaken by a multidisciplinary team of experts to unearth any extant evidence bearing on the origin of the zero digit in India. The ZerOrigIndia Foundation is intended to serve as instrument to collect the requisite funds to finance said independent scientific research in a timely and effective manner. Research Academics and researchers worldwide are invited to join our efforts to unearth any extant evidence of the zero digit in India. The ZerOrigIndia Foundation will facilitate the research in various ways, chief among which is to engage in fundraising to finance projects related to our objective. Academics and researchers associated with reputed institutions of higher learning are invited to monitor progress reported by ZerOrigIndia Foundation, make suggestions and/or propose their own research projects to achieve the avowed aim. -
UEB Guidelines for Technical Material
Guidelines for Technical Material Unified English Braille Guidelines for Technical Material This version updated October 2008 ii Last updated October 2008 iii About this Document This document has been produced by the Maths Focus Group, a subgroup of the UEB Rules Committee within the International Council on English Braille (ICEB). At the ICEB General Assembly in April 2008 it was agreed that the document should be released for use internationally, and that feedback should be gathered with a view to a producing a new edition prior to the 2012 General Assembly. The purpose of this document is to give transcribers enough information and examples to produce Maths, Science and Computer notation in Unified English Braille. This document is available in the following file formats: pdf, doc or brf. These files can be sourced through the ICEB representatives on your local Braille Authorities. Please send feedback on this document to ICEB, again through the Braille Authority in your own country. Last updated October 2008 iv Guidelines for Technical Material 1 General Principles..............................................................................................1 1.1 Spacing .......................................................................................................1 1.2 Underlying rules for numbers and letters.....................................................2 1.3 Print Symbols ..............................................................................................3 1.4 Format.........................................................................................................3 -
History of Writing
History of Writing On present archaeological evidence, full writing appeared in Mesopotamia and Egypt around the same time, in the century or so before 3000 BC. It is probable that it started slightly earlier in Mesopotamia, given the date of the earliest proto-writing on clay tablets from Uruk, circa 3300 BC, and the much longer history of urban development in Mesopotamia compared to the Nile Valley of Egypt. However we cannot be sure about the date of the earliest known Egyptian historical inscription, a monumental slate palette of King Narmer, on which his name is written in two hieroglyphs showing a fish and a chisel. Narmer’s date is insecure, but probably falls in the period 3150 to 3050 BC. In China, full writing first appears on the so-called ‘oracle bones’ of the Shang civilization, found about a century ago at Anyang in north China, dated to 1200 BC. Many of their signs bear an undoubted resemblance to modern Chinese characters, and it is a fairly straightforward task for scholars to read them. However, there are much older signs on the pottery of the Yangshao culture, dating from 5000 to 4000 BC, which may conceivably be precursors of an older form of full Chinese writing, still to be discovered; many areas of China have yet to be archaeologically excavated. In Europe, the oldest full writing is the Linear A script found in Crete in 1900. Linear A dates from about 1750 BC. Although it is undeciphered, its signs closely resemble the somewhat younger, deciphered Linear B script, which is known to be full writing; Linear B was used to write an archaic form of the Greek language. -
Writing Language
Writing language Linguists generally agree with the following statement by one of the founders of the modern science of language. Writing is not language, but merely a way of recording language by visible marks. Leonard Bloomfield, Language (1933) Some version of this is clearly true, as we can see by looking at the history of the human species and of each human individual. In both regards, spoken language precedes written language. Speech Writing Present in every society Present only in some societies, and only rather recently Learned before writing Learned after speech is acquired Learned by all children in normal Learned only by instruction, and often not circumstances, without instruction learned at all Human evolution has made speaking Evolution has not specifically favored easier writing Another way to express Bloomfield's point is to say that writing is "parasitic" on speech, expressing some but not all of the things that speech expresses. Specifically, writing systems convey the sequence of known words or other elements of a language in a real or hypothetical utterance, and indicate (usually somewhat less well) the pronunciation of words not already known to the reader. Aspects of speech that writing leaves out can include emphasis, intonation, tone of voice, accent or dialect, and individual characteristics. Some caveats are in order. In the first place, writing is usually not used for "recording language" in the sense of transcribing speech. Writing may substitute for speech, as in a letter, or may deploy the expressive resources of spoken language in visual structures (such as tables) that can't easily be replicated in spoken form at all. -
Why Romans Sometimes Wrote 8 As VIII, and Sometimes As IIX: a Possible Explanation
International Mathematical Forum, Vol. 16, 2021, no. 2, 95 - 99 HIKARI Ltd, www.m-hikari.com https://doi.org/10.12988/imf.2021.912243 Why Romans Sometimes Wrote 8 as VIII, and Sometimes as IIX: A Possible Explanation Olga Kosheleva 1 and Vladik Kreinovich 2 1 Department of Teacher Education 2 Department of Computer Science University of Texas at El Paso 500 W. University El Paso, TX 79968, USA This article is distributed under the Creative Commons by-nc-nd Attribution License. Copyright c 2021 Hikari Ltd. Abstract Most of us are familiar with Roman numerals and with the standard way of describing numbers in the form of these numerals. What many people do not realize is that the actual ancient Romans often deviated from these rules. For example, instead of always writing the number 8 as VIII, i.e., 5 + 3, they sometimes wrote it as IIX, i.e., as 10 − 2. Some of such differences can be explained: e.g., the unusual way of writing 98 as IIC, i.e., as 100 − 2, can be explained by the fact that the Latin word for 98 literally means \two from hundred". However, other differences are not easy to explain { e.g., why Romans sometimes wrote 8 as VIII and sometimes as IIX. In this paper, we provide a possible explanation for this variation. Mathematics Subject Classification: 01A35 Keywords: Roman numerals, history of mathematics 1 Formulation of the Problem Roman numerals as we know them. Most people are familiar with Roman numerals. There, 1 is I, 5 is V, 10 is X, 50 is L, 100 is C, 500 is D, 1000 is 96 O. -
Translating Roman Numerals
Maggie’s Activity Pack Name __________________________ Date ___________________________ Translating Roman Numerals Look at a grandfather clock. You may see numerals that look like this: III or XI. Numerals like 3 and 5 are called Arabic numerals. Those written like this, X or VII, are called Roman numerals. Long ago the Romans needed to keep track of their trade. They probably first used simple marks. But, it likely was hard to keep making marks, I I I I I. So they started to use different symbols. Look at the chart below to see the Roman symbols for different numbers. Arabic Numeral Roman Numeral A century is 100 years. A millennium 1 I is 1000 years. These English words 5 V come from Latin. Centum means 100. 10 X Mille means 1000. This helps you to 50 L remember the C stands for 100 and M 100 C stands for 1000. 500 D 1000 M Did you notice there is not a zero in the Roman numeral system? Writing Different Numerals Where you put a symbol is very important. If a symbol is written to the right, it means you add it. XI means 11. But if a symbol is written to the left, it means you subtract that symbol. For example, IX means 9. Look at these numerals and their meanings: VI means 6 LX means 60 CX means 110 IV means 4 XL means 40 XC means 90 © Maggie's Earth Adventures, LLC 2007. Teachers may reproduce for classroom use. “Translating” Roman Numerals Now you can “translate” these Roman numerals into Arabic numerals. -
Numerical Notation: a Comparative History
This page intentionally left blank Numerical Notation Th is book is a cross-cultural reference volume of all attested numerical notation systems (graphic, nonphonetic systems for representing numbers), encompassing more than 100 such systems used over the past 5,500 years. Using a typology that defi es progressive, unilinear evolutionary models of change, Stephen Chrisomalis identifi es fi ve basic types of numerical notation systems, using a cultural phylo- genetic framework to show relationships between systems and to create a general theory of change in numerical systems. Numerical notation systems are prima- rily representational systems, not computational technologies. Cognitive factors that help explain how numerical systems change relate to general principles, such as conciseness and avoidance of ambiguity, which also apply to writing systems. Th e transformation and replacement of numerical notation systems relate to spe- cifi c social, economic, and technological changes, such as the development of the printing press and the expansion of the global world-system. Stephen Chrisomalis is an assistant professor of anthropology at Wayne State Uni- versity in Detroit, Michigan. He completed his Ph.D. at McGill University in Montreal, Quebec, where he studied under the late Bruce Trigger. Chrisomalis’s work has appeared in journals including Antiquity, Cambridge Archaeological Jour- nal, and Cross-Cultural Research. He is the editor of the Stop: Toutes Directions project and the author of the academic weblog Glossographia. Numerical Notation A Comparative History Stephen Chrisomalis Wayne State University CAMBRIDGE UNIVERSITY PRESS Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo, Delhi, Dubai, Tokyo Cambridge University Press The Edinburgh Building, Cambridge CB2 8RU, UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridge.org/9780521878180 © Stephen Chrisomalis 2010 This publication is in copyright.