Bana Braille Codes Update 2007
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Roman Numerals
History of Numbers 1c. I can distinguish between an additive and positional system, and convert between Roman and Hindu-Arabic numbers. Roman Numerals The numeric system represented by Roman numerals originated in ancient Rome (753 BC–476 AD) and remained the usual way of writing numbers throughout Europe well into the Late Middle Ages. By the 11th century, the more efJicient Hindu–Arabic numerals had been introduced into Europe by way of Arab traders. Roman numerals, however, remained in commo use well into the 14th and 15th centuries, even in accounting and other business records (where the actual calculations would have been made using an abacus). Roman numerals are still used today, in certain contexts. See: Modern Uses of Roman Numerals Numbers in this system are represented by combinations of letters from the Latin alphabet. Roman numerals, as used today, are based on seven symbols: The numbers 1 to 10 are expressed in Roman numerals as: I, II, III, IV, V, VI, VII, VIII, IX, X. This an additive system. Numbers are formed by combining symbols and adding together their values. For example, III is three (three ones) and XIII is thirteen (a ten plus three ones). Because each symbol (I, V, X ...) has a Jixed value rather than representing multiples of ten, one hundred and so on (according to the numeral's position) there is no need for “place holding” zeros, as in numbers like 207 or 1066. Using Roman numerals, those numbers are written as CCVII (two hundreds, plus a ive and two ones) and MLXVI (a thousand plus a ifty plus a ten, a ive and a one). -
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). -
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 -
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. -
Ancient and Other Scripts
The Unicode® Standard Version 13.0 – Core Specification To learn about the latest version of the Unicode Standard, see http://www.unicode.org/versions/latest/. Many of the designations used by manufacturers and sellers to distinguish their products are claimed as trademarks. Where those designations appear in this book, and the publisher was aware of a trade- mark claim, the designations have been printed with initial capital letters or in all capitals. Unicode and the Unicode Logo are registered trademarks of Unicode, Inc., in the United States and other countries. The authors and publisher have taken care in the preparation of this specification, but make no expressed or implied warranty of any kind and assume no responsibility for errors or omissions. No liability is assumed for incidental or consequential damages in connection with or arising out of the use of the information or programs contained herein. The Unicode Character Database and other files are provided as-is by Unicode, Inc. No claims are made as to fitness for any particular purpose. No warranties of any kind are expressed or implied. The recipient agrees to determine applicability of information provided. © 2020 Unicode, Inc. All rights reserved. This publication is protected by copyright, and permission must be obtained from the publisher prior to any prohibited reproduction. For information regarding permissions, inquire at http://www.unicode.org/reporting.html. For information about the Unicode terms of use, please see http://www.unicode.org/copyright.html. The Unicode Standard / the Unicode Consortium; edited by the Unicode Consortium. — Version 13.0. Includes index. ISBN 978-1-936213-26-9 (http://www.unicode.org/versions/Unicode13.0.0/) 1. -
The Brill Typeface User Guide & Complete List of Characters
The Brill Typeface User Guide & Complete List of Characters Version 2.06, October 31, 2014 Pim Rietbroek Preamble Few typefaces – if any – allow the user to access every Latin character, every IPA character, every diacritic, and to have these combine in a typographically satisfactory manner, in a range of styles (roman, italic, and more); even fewer add full support for Greek, both modern and ancient, with specialised characters that papyrologists and epigraphers need; not to mention coverage of the Slavic languages in the Cyrillic range. The Brill typeface aims to do just that, and to be a tool for all scholars in the humanities; for Brill’s authors and editors; for Brill’s staff and service providers; and finally, for anyone in need of this tool, as long as it is not used for any commercial gain.* There are several fonts in different styles, each of which has the same set of characters as all the others. The Unicode Standard is rigorously adhered to: there is no dependence on the Private Use Area (PUA), as it happens frequently in other fonts with regard to characters carrying rare diacritics or combinations of diacritics. Instead, all alphabetic characters can carry any diacritic or combination of diacritics, even stacked, with automatic correct positioning. This is made possible by the inclusion of all of Unicode’s combining characters and by the application of extensive OpenType Glyph Positioning programming. Credits The Brill fonts are an original design by John Hudson of Tiro Typeworks. Alice Savoie contributed to Brill bold and bold italic. The black-letter (‘Fraktur’) range of characters was made by Karsten Lücke. -
Braille Mathematics Notation
BRAILLE AUTHORITY OF THE UNITED KINGDOM BRAILLE MATHEMATICS NOTATION Royal National Institute of the Blind Bakewell Road Orton Southgate Peterb orough Cambridgeshire PE XU c Braille Authority of the United Kingdom Registered Charity No Printed by RNIB Peterb orough CONTENTS Memb ers of the Mathematics Committee ii Memb ers of the JointTechnical Committee ii Intro duction to edition iii Intro duction to edition iv Table of braille mathematical signs Mo dication of signs Braille Mathematics Notation General remarks Numeral and letter signs The spacing of braille signs The oblique stroke and fraction line Brackets Indices Sp ecial functions and other words and abbreviations Delimiting the argument of a function Co ordinates and sets Matrices determinants and other arrays Worked calculations logical gures Miscellaneous notation Layout of mathematical text Units Alphab ets used in mathematics Index i MEMBERS OF THE MATHEMATICS COMMITTEE A W Chatters Chairman Bristol University J A Allnut Central -
Punjabi Indic Input 2 - User Guide
Punjabi Indic Input 2 - User Guide Punjabi Indic Input 2 - User Guide 2 Contents WHAT IS PUNJABI INDIC INPUT 2? ..................................................................................................................................................... 3 SYSTEM REQUIREMENTS ....................................................................................................................................................................... 3 TO INSTALL PUNJABI INDIC INPUT 2 .................................................................................................................................................. 3 TO USE PUNJABI INDIC INPUT 2 ......................................................................................................................................................... 4 SUPPORTED KEYBOARDS ................................................................................................................................................................... 5 PUNJABI TRANSLITERATION ................................................................................................................................................................... 5 Keyboard Rules .......................................................................................................................................................................... 5 PUNJABI INSCRIPT .............................................................................................................................................................................. -
Numbering Systems Developed by the Ancient Mesopotamians
Emergent Culture 2011 August http://emergent-culture.com/2011/08/ Home About Contact RSS-Email Alerts Current Events Emergent Featured Global Crisis Know Your Culture Legend of 2012 Synchronicity August, 2011 Legend of 2012 Wednesday, August 31, 2011 11:43 - 4 Comments Cosmic Time Meets Earth Time: The Numbers of Supreme Wholeness and Reconciliation Revealed In the process of writing about the precessional cycle I fell down a rabbit hole of sorts and in the process of finding my way around I made what I think are 4 significant discoveries about cycles of time and the numbers that underlie and unify cosmic and earthly time . Discovery number 1: A painting by Salvador Dali. It turns that clocks are not as bad as we think them to be. The units of time that segment the day into hours, minutes and seconds are in fact reconciled by the units of time that compose the Meso American Calendrical system or MAC for short. It was a surprise to me because one of the world’s foremost authorities in calendrical science the late Dr.Jose Arguelles had vilified the numbers of Western timekeeping as a most grievious error . So much so that he attributed much of the worlds problems to the use of the 12 month calendar and the 24 hour, 60 minute, 60 second day, also known by its handy acronym 12-60 time. I never bought into his argument that the use of those time factors was at fault for our largely miserable human-planetary condition. But I was content to dismiss mechanized time as nothing more than a convenient tool to facilitate the activities of complex societies. -
Fo'ohkkjr @Tdil
fo'oHkkjr @tdil 3. Development of OHWR System for Gurmukhi R.K. Sharma, Palki Sharma, Narpinder Sharma, Harjeet Singh, Karun Verma, Ravinder Kumar, Rajesh Kumar, School of Mathematics & Computer Applications, Thapar University, Patiala, Punjab (INDIA) Abstract Gurmukhi and Roman numerals. Handwritten character recognition is a Postprocessing of classes has also been complex task owing to various writing styles performed in this work in order to refine the of different individuals. A number of authors recognition process results. In this have worked on the problem of handwritten postprocessing, the sequence of classes is Gurmukhi OHWR character recognition. They have, in analyzed; overwritten strokes are identified general, used structural and statistical and resolved. A heuristic based algorithm features in their work. Handwritten has been developed to form Gurmukhi character recognition systems have also aksharas from the identified classes. been proposed for Gurmukhi script by some 1. Introduction authors. This work presents a system to This is a well-established fact that recognize online handwritten Gurmukhi handwritten character recognition is a characters, Gurmukhi numerals, Roman complex task. This is due to different numerals and special characters. A handwriting styles of individuals, and also the sufficiently large annotated database has cursiveness in their handwriting. Handwritten been created in this work for the strokes used character recognition is divided into two in writing these Gurmukhi symbols. The categories: offline and online. In offline recognition engines developed in this work handwritten character recognition, data are are based on 100 samples (Engine 1) and 22 scanned images taken from a prewritten text, samples (Engines 2, 3 and 4) of each class usually on a sheet of paper.