L2/20-136 Reference: Action: for Consideration by JTC1/SC2 Date: Apri 29, 2020
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Unicode Nearly Plain-Text Encoding of Mathematics Murray Sargent III Office Authoring Services, Microsoft Corporation 4-Apr-06
Unicode Nearly Plain Text Encoding of Mathematics Unicode Nearly Plain-Text Encoding of Mathematics Murray Sargent III Office Authoring Services, Microsoft Corporation 4-Apr-06 1. Introduction ............................................................................................................ 2 2. Encoding Simple Math Expressions ...................................................................... 3 2.1 Fractions .......................................................................................................... 4 2.2 Subscripts and Superscripts........................................................................... 6 2.3 Use of the Blank (Space) Character ............................................................... 7 3. Encoding Other Math Expressions ........................................................................ 8 3.1 Delimiters ........................................................................................................ 8 3.2 Literal Operators ........................................................................................... 10 3.3 Prescripts and Above/Below Scripts........................................................... 11 3.4 n-ary Operators ............................................................................................. 11 3.5 Mathematical Functions ............................................................................... 12 3.6 Square Roots and Radicals ........................................................................... 13 3.7 Enclosures..................................................................................................... -
Using Lexical Tools to Convert Unicode Characters to ASCII
Using Lexical Tools to Convert Unicode Characters to ASCII Chris J. Lu, Ph.D.1, Allen C. Browne2, Divita Guy1 1Lockheed Martin/MSD, Bethesda, MD; 2National Library of Medicine, Bethesda, MD Abstract 2-3. Recursive algorithm Some Unicode characters require multiple steps, combining Unicode is an industry standard allowing computers to the methods described above, in ASCII conversion. A consistently represent and manipulate text expressed in recursive algorithm is implemented in LVG flow, -f:q7, for most of the world’s writing systems. It is widely used in this purpose. multilingual NLP (natural language processing) projects. On the other hand, there are some NLP projects still only 2-4. Table lookup mapping and strip dealing with ASCII characters. This paper describes Some Unicode characters do not belong to categories methods of utilizing lexical tools to convert Unicode mentioned above. A local table of conversion values is characters (UTF-8) to ASCII (7-bit) characters. used to convert these to an ASCII representation. For example, Greek letters are converted into fully spelled out 1. Introduction forms. ‘α’ is converted to “alpha”. Non-defined Unicode The SPECIALIST Lexical tools, 2008, distributed by characters, (such as ™, ©, ®, etc.), are treated as National Library of Medicine (NLM) provide several stopwords and stripped out completely to ensure pure functions, called LVG (Lexical Variant Generation) flow ASCII conversion. This table lookup and strip function is components, to convert Unicode characters to ASCII. In represented by LVG flow, -f:q8. general, ASCII conversion either preserves semantic and/or 2-5. Pure ASCII conversions graphic representation or facilitates NLP. -
UTR #25: Unicode and Mathematics
UTR #25: Unicode and Mathematics http://www.unicode.org/reports/tr25/tr25-5.html Technical Reports Draft Unicode Technical Report #25 UNICODE SUPPORT FOR MATHEMATICS Version 1.0 Authors Barbara Beeton ([email protected]), Asmus Freytag ([email protected]), Murray Sargent III ([email protected]) Date 2002-05-08 This Version http://www.unicode.org/unicode/reports/tr25/tr25-5.html Previous Version http://www.unicode.org/unicode/reports/tr25/tr25-4.html Latest Version http://www.unicode.org/unicode/reports/tr25 Tracking Number 5 Summary Starting with version 3.2, Unicode includes virtually all of the standard characters used in mathematics. This set supports a variety of math applications on computers, including document presentation languages like TeX, math markup languages like MathML, computer algebra languages like OpenMath, internal representations of mathematics in systems like Mathematica and MathCAD, computer programs, and plain text. This technical report describes the Unicode mathematics character groups and gives some of their default math properties. Status This document has been approved by the Unicode Technical Committee for public review as a Draft Unicode Technical Report. Publication does not imply endorsement by the Unicode Consortium. This is a draft document which may be updated, replaced, or superseded by other documents at any time. This is not a stable document; it is inappropriate to cite this document as other than a work in progress. Please send comments to the authors. A list of current Unicode Technical Reports is found on http://www.unicode.org/unicode/reports/. For more information about versions of the Unicode Standard, see http://www.unicode.org/unicode/standard/versions/. -
Proposal for Addition of Group Mark Symbol Introduction
Proposal for addition of Group Mark symbol Ken Shirriff github.com/shirriff/groupmark Feb 14, 2015 Abstract The group mark symbol was part of the character set of important computers of the 1960s and 1970s, such as the IBM 705, 7070, 1401 and 1620. Books about these computers and manuals for them used the symbol to represent the group mark in running text. Unfortunately, this symbol does not exist in Unicode, making it difficult to write about technical details of these historical computers. Introduction The group mark was introduced in the 1950s as a separator character for I/O operations. In written text, the group mark is indicated by the symbol: . Unicode doesn't include this symbol, which is inconvenient when writing about the group mark or the character set of these computers. The group mark became part of IBM's Standard BCD Interchange Code (BCDIC) in 1962. [1, page 20 and figure 56]. This standard was used by the IBM 1401, 1440, 1410, 1460, 7010, 7040, and 7044 data processing systems [2]. The BCDIC standard provided consistent definitions of codes and the relation between these codes and printed symbols, including uniform graphics for publications.[2, page A-2]. Unicode can represent all the characters in BCDIC, except for the group mark. This proposal is for a Unicode code point for the group mark for use in running text with an associated glyph . This is orthogonal to the use of the group mark as a separator in data files. While the proposed group mark could be used in data files, that is not the focus of this proposal. -
Unicode Nearly Plain Text Encoding of Mathematics
Unicode Nearly Plain Text Encoding of Mathematics Unicode Nearly Plain-Text Encoding of Mathematics Murray Sargent III Office Authoring Services, Microsoft Corporation 28-Aug-06 1. Introduction ............................................................................................................ 2 2. Encoding Simple Math Expressions ...................................................................... 3 2.1 Fractions .......................................................................................................... 4 2.2 Subscripts and Superscripts........................................................................... 6 2.3 Use of the Blank (Space) Character ............................................................... 7 3. Encoding Other Math Expressions ........................................................................ 8 3.1 Delimiters ........................................................................................................ 8 3.2 Literal Operators ........................................................................................... 10 3.3 Prescripts and Above/Below Scripts .......................................................... 11 3.4 n-ary Operators ............................................................................................. 11 3.5 Mathematical Functions ............................................................................... 12 3.6 Square Roots and Radicals ........................................................................... 13 3.7 Enclosures .................................................................................................... -
A Proposed Set of Mnemonic Symbolic Glyphs for the Visual Representation of C0 Controls and Other Nonprintable ASCII Characters Michael P
Michael P. Frank My-ASCII-Glyphs-v2.3.doc 9/14/06 A Proposed Set of Mnemonic Symbolic Glyphs for the Visual Representation of C0 Controls and Other Nonprintable ASCII Characters Michael P. Frank FAMU-FSU College of Engineering Thursday, September 14, 2006 Abstract. In this document, we propose some single-character mnemonic, symbolic representations of the nonprintable ASCII characters based on Unicode characters that are present in widely-available fonts. The symbols chosen here are intended to be evocative of the originally intended meaning of the corresponding ASCII character, or, in some cases, a widespread de facto present meaning. In many cases, the control pictures that we suggest are similar to those specified in ANSI X3.32/ISO 2047, which has not been uniformly conformed to for representing the control codes in all of the widely available Unicode fonts. In some cases, we suggest alternative glyphs that we believe are more intuitive than ISO 2047’s choices. 1. Introduction The most current official standard specification defining the 7-bit ASCII character set is ANSI X3.4-1986, presently distributed as ANSI/INCITS 4-1986 (R2002). This character set includes 34 characters that have no visible, non-blank graphical representation, namely the 33 control characters (codes 00 16 -1F 16 and 7F 16 ) and the space character (code 20 16 ). In some situations, for readability and compactness, it may be desired to display or print concise graphic symbolic representations of these characters, consisting of only a single glyph per character, rather than a multi-character character sequence. According to ANSI X3.4-1986, graphic representations of control characters may be found in American National Standard Graphic Representation of the Control Characters of American National Standard Code for Information Interchange , ANSI X3.32-1973. -
Unicode Characters in Proofpower Through Lualatex
Unicode Characters in ProofPower through Lualatex Roger Bishop Jones Abstract This document serves to establish what characters render like in utf8 ProofPower documents prepared using lualatex. Created 2019 http://www.rbjones.com/rbjpub/pp/doc/t055.pdf © Roger Bishop Jones; Licenced under Gnu LGPL Contents 1 Prelude 2 2 Changes 2 2.1 Recent Changes .......................................... 2 2.2 Changes Under Consideration ................................... 2 2.3 Issues ............................................... 2 3 Introduction 3 4 Mathematical operators and symbols in Unicode 3 5 Dedicated blocks 3 5.1 Mathematical Operators block .................................. 3 5.2 Supplemental Mathematical Operators block ........................... 4 5.3 Mathematical Alphanumeric Symbols block ........................... 4 5.4 Letterlike Symbols block ..................................... 6 5.5 Miscellaneous Mathematical Symbols-A block .......................... 7 5.6 Miscellaneous Mathematical Symbols-B block .......................... 7 5.7 Miscellaneous Technical block .................................. 7 5.8 Geometric Shapes block ...................................... 8 5.9 Miscellaneous Symbols and Arrows block ............................. 9 5.10 Arrows block ........................................... 9 5.11 Supplemental Arrows-A block .................................. 10 5.12 Supplemental Arrows-B block ................................... 10 5.13 Combining Diacritical Marks for Symbols block ......................... 11 5.14 -
Unicodemath a Nearly Plain-Text Encoding of Mathematics Version 3.1 Murray Sargent III Microsoft Corporation 16-Nov-16
Unicode Nearly Plain Text Encoding of Mathematics UnicodeMath A Nearly Plain-Text Encoding of Mathematics Version 3.1 Murray Sargent III Microsoft Corporation 16-Nov-16 1. Introduction ............................................................................................................ 2 2. Encoding Simple Math Expressions ...................................................................... 3 2.1 Fractions .......................................................................................................... 4 2.2 Subscripts and Superscripts........................................................................... 6 2.3 Use of the Blank (Space) Character ............................................................... 8 3. Encoding Other Math Expressions ........................................................................ 8 3.1 Delimiters ........................................................................................................ 8 3.2 Literal Operators ........................................................................................... 11 3.3 Prescripts and Above/Below Scripts ........................................................... 11 3.4 n-ary Operators ............................................................................................. 12 3.5 Mathematical Functions ............................................................................... 13 3.6 Square Roots and Radicals ........................................................................... 14 3.7 Enclosures .................................................................................................... -
Glossary of Mathematical Symbols
Glossary of mathematical symbols A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for expressing all mathematics. The most basic symbols are the decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9), and the letters of the Latin alphabet. The decimal digits are used for representing numbers through the Hindu–Arabic numeral system. Historically, upper-case letters were used for representing points in geometry, and lower-case letters were used for variables and constants. Letters are used for representing many other sort of mathematical objects. As the number of these sorts has dramatically increased in modern mathematics, the Greek alphabet and some Hebrew letters are also used. In mathematical formulas, the standard typeface is italic type for Latin letters and lower-case Greek letters, and upright type for upper case Greek letters. For having more symbols, other typefaces are also used, mainly boldface , script typeface (the lower-case script face is rarely used because of the possible confusion with the standard face), German fraktur , and blackboard bold (the other letters are rarely used in this face, or their use is unconventional). The use of Latin and Greek letters as symbols for denoting mathematical objects is not described in this article. For such uses, see Variable (mathematics) and List of mathematical constants. However, some symbols that are described here have the same shape as the letter from which they are derived, such as and . -
A Modular Architecture for Unicode Text Compression
A modular architecture for Unicode text compression Adam Gleave St John’s College A dissertation submitted to the University of Cambridge in partial fulfilment of the requirements for the degree of Master of Philosophy in Advanced Computer Science University of Cambridge Computer Laboratory William Gates Building 15 JJ Thomson Avenue Cambridge CB3 0FD United Kingdom Email: [email protected] 22nd July 2016 Declaration I Adam Gleave of St John’s College, being a candidate for the M.Phil in Advanced Computer Science, hereby declare that this report and the work described in it are my own work, unaided except as may be specified below, and that the report does not contain material that has already been used to any substantial extent for a comparable purpose. Total word count: 11503 Signed: Date: This dissertation is copyright c 2016 Adam Gleave. All trademarks used in this dissertation are hereby acknowledged. Acknowledgements I would like to thank Dr. Christian Steinruecken for his invaluable advice and encouragement throughout the project. I am also grateful to Prof. Zoubin Ghahramani for his guidance and suggestions for extensions to this work. I would further like to thank Olivia Wiles and Shashwat Silas for their comments on drafts of this dissertation. I would also like to express my gratitude to Maria Lomelí García for a fruitful discussion on the relationship between several stochastic processes considered in this dissertation. Abstract Conventional compressors operate on single bytes. This works well on ASCII text, where each character is one byte. However, it fares poorly on UTF-8 texts, where characters can span multiple bytes. -
Best Practice When Using Non-Alphabetic Characters in Orthographies: Helping Languages Succeed in the Modern World
Best practice when using non-alphabetic characters in orthographies: Helping languages succeed in the modern world May 4, 2018 1. Why this document? 2. Word-forming characteristics of a symbol used for tone 3. Altering software programs 4. Linguistic and readability issues 5. Technical recommendations for selecting symbols 5.1. Word-forming characters 5.2. Non-word-forming characters 5.3. Adding characters to Unicode 6. Some specific uses of common symbols Hyphen Apostrophe Asterisk 7. Case Studies Case Study #1: Hyphens Case Study #2: Can you change the program for me? Case Study #3: A successful Unicode proposal, but... Case Study #4: Paratext remarks APPENDIX A: List of non-alphabetic symbols APPENDIX B: “Text Engineering” requirements REFERENCES (and useful Links) 1. Why this document? The goal of this document is to suggest best practices for using non-alphabetic symbols in Roman (Latin) script orthographies, for tone and other functions. We especially want to assist people dealing with marking grammatical tone, though others using non-alphabetical symbols such as apostrophes will find this helpful as well. “Best practices” here involves making orthographies as easy as possible for the user and enabling the orthography to be used as widely as possible on today's computers and mobile devices. Linguistic and sociopolitical factors are vital in orthography, but this paper focuses on the need to be compliant with Unicode so orthographies can be used on modern devices. An orthography that ignores such standards risks problems in text interchanges, and may end up being marginalized by the world at large. These are the Best Practices that are expounded throughout this paper. -
Greekkeys Unicode 2008 USER’S GUIDE
i GreekKeys Unicode 2008 USER’S GUIDE by Donald Mastronarde ©2008 American Philological Association GreekKeys Unicode 2008 User’s Guide ii NEITHER THE AMERICAN PHILOLOGICAL ASSOCIATION NOR APPLE INC. NOR MICROSOFT CORPORATION MAKES ANY WARRANTIES, EITHER EXPRESS OR IMPLIED, REGARDING THE ENCLOSED COMPUTER SOFTWARE PACKAGE, ITS MERCHANTABILITY OR ITS FITNESS FOR ANY PARTICULAR PURPOSE. THE EXCLUSION OF IMPLIED WARRANTIES IS NOT PERMITTED BY SOME STATES. THE ABOVE EXCLUSION MAY NOT APPLY TO YOU. THIS WARRANTY PROVIDES YOU WITH SPECIFIC LEGAL RIGHTS. THERE MAY BE OTHER RIGHTS THAT YOU MAY HAVE WHICH VARY FROM STATE TO STATE. IN NO EVENT WILL APPLE INC. OR MICROSOFT CORPORATION OR THE AMERICAN PHILOLOGICAL ASSOCIATION BE LIABLE FOR ANY CONSEQUENTIAL, INCIDENTAL OR INDIRECT DAMAGES (INCLUDING DAMAGES FOR DOWNTIME, COSTS OF RECOVERING OR REPRODUCING DATA AND THE LIKE) ARISING OUT OF THE USE OR INABILITY TO USE GREEKKEYS, EVEN IF THEY HAVE BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. BECAUSE SOME STATES DO NOT ALLOW THE EXCLUSION OR LIMITATION OF LIABILITY FOR CONSEQUENTIAL OR INCIDENTAL DAMAGES, THE ABOVE LIMITATIONS MAY NOT APPLY TO YOU. GreekKeys 2008 Licenses See the document GreekKeysLicense.pdf, which is included in the download and also available at https://webfiles.berkeley.edu/~pinax/greekkeys/pdfs/GreekKeysLicense.pdf Macintosh and OS X are registered trademarks of Apple Inc. Microsoft Word is a registered trademark of Microsoft Corporation. PostScript is a registered trademarks of Adobe Systems, Inc. Other brand or product names are trademarks of their respective holders. iii Online sales GreekKeys 2008 is sold via a web store hosted by eSellerate at: http://store.esellerate.net/apa/apagreekkeys Technical support Technical support for this product is limited.