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1 Elementary Set Theory
1 Elementary Set Theory Notation: fg enclose a set. f1; 2; 3g = f3; 2; 2; 1; 3g because a set is not defined by order or multiplicity. f0; 2; 4;:::g = fxjx is an even natural numberg because two ways of writing a set are equivalent. ; is the empty set. x 2 A denotes x is an element of A. N = f0; 1; 2;:::g are the natural numbers. Z = f:::; −2; −1; 0; 1; 2;:::g are the integers. m Q = f n jm; n 2 Z and n 6= 0g are the rational numbers. R are the real numbers. Axiom 1.1. Axiom of Extensionality Let A; B be sets. If (8x)x 2 A iff x 2 B then A = B. Definition 1.1 (Subset). Let A; B be sets. Then A is a subset of B, written A ⊆ B iff (8x) if x 2 A then x 2 B. Theorem 1.1. If A ⊆ B and B ⊆ A then A = B. Proof. Let x be arbitrary. Because A ⊆ B if x 2 A then x 2 B Because B ⊆ A if x 2 B then x 2 A Hence, x 2 A iff x 2 B, thus A = B. Definition 1.2 (Union). Let A; B be sets. The Union A [ B of A and B is defined by x 2 A [ B if x 2 A or x 2 B. Theorem 1.2. A [ (B [ C) = (A [ B) [ C Proof. Let x be arbitrary. x 2 A [ (B [ C) iff x 2 A or x 2 B [ C iff x 2 A or (x 2 B or x 2 C) iff x 2 A or x 2 B or x 2 C iff (x 2 A or x 2 B) or x 2 C iff x 2 A [ B or x 2 C iff x 2 (A [ B) [ C Definition 1.3 (Intersection). -
The Unicode Cookbook for Linguists: Managing Writing Systems Using Orthography Profiles
Zurich Open Repository and Archive University of Zurich Main Library Strickhofstrasse 39 CH-8057 Zurich www.zora.uzh.ch Year: 2017 The Unicode Cookbook for Linguists: Managing writing systems using orthography profiles Moran, Steven ; Cysouw, Michael DOI: https://doi.org/10.5281/zenodo.290662 Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: https://doi.org/10.5167/uzh-135400 Monograph The following work is licensed under a Creative Commons: Attribution 4.0 International (CC BY 4.0) License. Originally published at: Moran, Steven; Cysouw, Michael (2017). The Unicode Cookbook for Linguists: Managing writing systems using orthography profiles. CERN Data Centre: Zenodo. DOI: https://doi.org/10.5281/zenodo.290662 The Unicode Cookbook for Linguists Managing writing systems using orthography profiles Steven Moran & Michael Cysouw Change dedication in localmetadata.tex Preface This text is meant as a practical guide for linguists, and programmers, whowork with data in multilingual computational environments. We introduce the basic concepts needed to understand how writing systems and character encodings function, and how they work together. The intersection of the Unicode Standard and the International Phonetic Al- phabet is often not met without frustration by users. Nevertheless, thetwo standards have provided language researchers with a consistent computational architecture needed to process, publish and analyze data from many different languages. We bring to light common, but not always transparent, pitfalls that researchers face when working with Unicode and IPA. Our research uses quantitative methods to compare languages and uncover and clarify their phylogenetic relations. However, the majority of lexical data available from the world’s languages is in author- or document-specific orthogra- phies. -
Combining Diacritical Marks Range: 0300–036F the Unicode Standard
Combining Diacritical Marks Range: 0300–036F The Unicode Standard, Version 4.0 This file contains an excerpt from the character code tables and list of character names for The Unicode Standard, Version 4.0. Characters in this chart that are new for The Unicode Standard, Version 4.0 are shown in conjunction with any existing characters. For ease of reference, the new characters have been highlighted in the chart grid and in the names list. This file will not be updated with errata, or when additional characters are assigned to the Unicode Standard. See http://www.unicode.org/charts for access to a complete list of the latest character charts. Disclaimer These charts are provided as the on-line reference to the character contents of the Unicode Standard, Version 4.0 but do not provide all the information needed to fully support individual scripts using the Unicode Standard. For a complete understanding of the use of the characters contained in this excerpt file, please consult the appropriate sections of The Unicode Standard, Version 4.0 (ISBN 0-321-18578-1), as well as Unicode Standard Annexes #9, #11, #14, #15, #24 and #29, the other Unicode Technical Reports and the Unicode Character Database, which are available on-line. See http://www.unicode.org/Public/UNIDATA/UCD.html and http://www.unicode.org/unicode/reports A thorough understanding of the information contained in these additional sources is required for a successful implementation. Fonts The shapes of the reference glyphs used in these code charts are not prescriptive. Considerable variation is to be expected in actual fonts. -
Agricultural Soil Carbon Credits: Making Sense of Protocols for Carbon Sequestration and Net Greenhouse Gas Removals
Agricultural Soil Carbon Credits: Making sense of protocols for carbon sequestration and net greenhouse gas removals NATURAL CLIMATE SOLUTIONS About this report This synthesis is for federal and state We contacted each carbon registry and policymakers looking to shape public marketplace to ensure that details investments in climate mitigation presented in this report and through agricultural soil carbon credits, accompanying appendix are accurate. protocol developers, project developers This report does not address carbon and aggregators, buyers of credits and accounting outside of published others interested in learning about the protocols meant to generate verified landscape of soil carbon and net carbon credits. greenhouse gas measurement, reporting While not a focus of the report, we and verification protocols. We use the remain concerned that any end-use of term MRV broadly to encompass the carbon credits as an offset, without range of quantification activities, robust local pollution regulations, will structural considerations and perpetuate the historic and ongoing requirements intended to ensure the negative impacts of carbon trading on integrity of quantified credits. disadvantaged communities and Black, This report is based on careful review Indigenous and other communities of and synthesis of publicly available soil color. Carbon markets have enormous organic carbon MRV protocols published potential to incentivize and reward by nonprofit carbon registries and by climate progress, but markets must be private carbon crediting marketplaces. paired with a strong regulatory backing. Acknowledgements This report was supported through a gift Conservation Cropping Protocol; Miguel to Environmental Defense Fund from the Taboada who provided feedback on the High Meadows Foundation for post- FAO GSOC protocol; Radhika Moolgavkar doctoral fellowships and through the at Nori; Robin Rather, Jim Blackburn, Bezos Earth Fund. -
Chapter 4 Formatting Text Copyright
Writer 6.0 Guide Chapter 4 Formatting Text Copyright This document is Copyright © 2018 by the LibreOffice Documentation Team. Contributors are listed below. You may distribute it and/or modify it under the terms of either the GNU General Public License (http://www.gnu.org/licenses/gpl.html), version 3 or later, or the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), version 4.0 or later. All trademarks within this guide belong to their legitimate owners. Contributors Jean Hollis Weber Bruce Byfield Gillian Pollack Acknowledgments This chapter is updated from previous versions in the LibreOffice Writer Guide. Contributors to earlier versions are: Jean Hollis Weber John A. Smith Hazel Russman John M. Długosz Ron Faile Jr. Figure 4 is from Bruce Byfield’s Designing with LibreOffice. This chapter is adapted from part of Chapter 3 of the OpenOffice.org 3.3 Writer Guide. The contributors to that chapter are: Jean Hollis Weber Agnes Belzunce Daniel Carrera Laurent Duperval Katharina Greif Peter Hillier-Brook Michael Kotsarinis Peter Kupfer Iain Roberts Gary Schnabl Barbara M. Tobias Michele Zarri Sharon Whiston Feedback Please direct any comments or suggestions about this document to the Documentation Team’s mailing list: [email protected] Note Everything you send to a mailing list, including your email address and any other personal information that is written in the message, is publicly archived and cannot be deleted. Publication date and software version Published July 2018. Based on LibreOffice 6.0. Note for macOS users Some keystrokes and menu items are different on macOS from those used in Windows and Linux. -
Basis Technology Unicode対応ライブラリ スペックシート 文字コード その他の名称 Adobe-Standard-Encoding A
Basis Technology Unicode対応ライブラリ スペックシート 文字コード その他の名称 Adobe-Standard-Encoding Adobe-Symbol-Encoding csHPPSMath Adobe-Zapf-Dingbats-Encoding csZapfDingbats Arabic ISO-8859-6, csISOLatinArabic, iso-ir-127, ECMA-114, ASMO-708 ASCII US-ASCII, ANSI_X3.4-1968, iso-ir-6, ANSI_X3.4-1986, ISO646-US, us, IBM367, csASCI big-endian ISO-10646-UCS-2, BigEndian, 68k, PowerPC, Mac, Macintosh Big5 csBig5, cn-big5, x-x-big5 Big5Plus Big5+, csBig5Plus BMP ISO-10646-UCS-2, BMPstring CCSID-1027 csCCSID1027, IBM1027 CCSID-1047 csCCSID1047, IBM1047 CCSID-290 csCCSID290, CCSID290, IBM290 CCSID-300 csCCSID300, CCSID300, IBM300 CCSID-930 csCCSID930, CCSID930, IBM930 CCSID-935 csCCSID935, CCSID935, IBM935 CCSID-937 csCCSID937, CCSID937, IBM937 CCSID-939 csCCSID939, CCSID939, IBM939 CCSID-942 csCCSID942, CCSID942, IBM942 ChineseAutoDetect csChineseAutoDetect: Candidate encodings: GB2312, Big5, GB18030, UTF32:UTF8, UCS2, UTF32 EUC-H, csCNS11643EUC, EUC-TW, TW-EUC, H-EUC, CNS-11643-1992, EUC-H-1992, csCNS11643-1992-EUC, EUC-TW-1992, CNS-11643 TW-EUC-1992, H-EUC-1992 CNS-11643-1986 EUC-H-1986, csCNS11643_1986_EUC, EUC-TW-1986, TW-EUC-1986, H-EUC-1986 CP10000 csCP10000, windows-10000 CP10001 csCP10001, windows-10001 CP10002 csCP10002, windows-10002 CP10003 csCP10003, windows-10003 CP10004 csCP10004, windows-10004 CP10005 csCP10005, windows-10005 CP10006 csCP10006, windows-10006 CP10007 csCP10007, windows-10007 CP10008 csCP10008, windows-10008 CP10010 csCP10010, windows-10010 CP10017 csCP10017, windows-10017 CP10029 csCP10029, windows-10029 CP10079 csCP10079, windows-10079 -
The Luacode Package
The luacode package Manuel Pégourié-Gonnard <[email protected]> v1.2a 2012/01/23 Abstract Executing Lua code from within TEX with \directlua can sometimes be tricky: there is no easy way to use the percent character, counting backslashes may be hard, and Lua comments don’t work the way you expect. This package provides the \luaexec command and the luacode(*) environments to help with these problems, as well as helper macros and a debugging mode. Contents 1 Documentation1 1.1 Lua code in LATEX...................................1 1.2 Helper macros......................................3 1.3 Debugging........................................3 2 Implementation3 2.1 Preliminaries......................................4 2.2 Internal code......................................5 2.3 Public macros and environments...........................7 3 Test file 8 1 Documentation 1.1 Lua code in LATEX For an introduction to the most important gotchas of \directlua, see lualatex-doc.pdf. Before presenting the tools in this package, let me insist that the best way to manage a non- trivial piece of Lua code is probably to use an external file and source it from Lua, as explained in the cited document. \luadirect First, the exact syntax of \directlua has changed along version of LuaTEX, so this package provides a \luadirect command which is an exact synonym of \directlua except that it doesn’t have the funny, changing parts of its syntax, and benefits from the debugging facilities described below (1.3).1 The problems with \directlua (or \luadirect) are mainly with TEX special characters. Actually, things are not that bad, since most special characters do work, namely: _, ^, &, $, {, }. Three are a bit tricky but they can be managed with \string: \, # and ~. -
Czech and Slovak Typesetting Rules
Czech and Slovak Typesetting Rules Tomáš Hála Mendel University in Brno, CZ BachoTEX 2019 Czech and Slovak Typesetting Rules Selected sources − ON 88 2503:1974 − Pop, Flégr and Pop: Sazba I [Typesetting I], 1989 (textbook) − ČSN 01 6910:2007 and older − ČSN 01 6910:2011 − STN 01 6910:2011 − Pravidla českého pravopisu [Rules of Czech Ortography], 1987, − Pravidla českého pravopisu [Rules of Czech Ortography], 1993 − Pravidlá slovenského pravopisu [Rules of Slovak Ortography], 1993, 2000 2 Czech and Slovak Typesetting Rules Spaces intersentence spacing interword space non-breaking interword space thin space 3 Czech and Slovak Typesetting Rules Spaces between sentences intersentence spacing % Czech, Slovak \frenchspacing % English (American) \nonfrenchspacing 4 Czech and Slovak Typesetting Rules Spaces between sentences intersentence spacing % ConTeXt \installlanguage [\s!en] [\c!spacing=\v!broad, ... \installlanguage [\s!cs] [\c!spacing=\v!packed, ... 5 Czech and Slovak Typesetting Rules Dashes: punctuation usage en-dash XOR em-dash en-dash v em-dash: designer’s opinion dashes v spaces: semanticising usage 6 Czech and Slovak Typesetting Rules Dashes: punctuation usage dashes must not open the new line \def\ip{\pdash} % Czech, Slovak \def\pdash{~-- } 7 Czech and Slovak Typesetting Rules Dashes: interval usage Czech and Slovak ∘ 35–45 %, 5–8 C English ∘ ∘ 35%–45%, 5 C–15 C, 70–72 percent %Czech and Slovak \def\idash{\discretionary{\char32až}{}{--}} \def\az{\idash} %English \def\idash{\discretionary{\char32to}{}{--}} 8 Czech and Slovak Typesetting -
As Seen in the Translation Industry
Chinese Language & Culture As seen in the translation industry Introduction Prior to one of the most important celebrations in Asia - the Lunar New Year, we decided to share our next piece of extraordinary information with you. We have chosen a country quite famous for itself with rich traditions, interesting history and at the same time very different from the modern western world. In our small e-book, we’ve combined something famous, something small, and a bit of professional advice. We are glad to introduce to you our Chinese Language & Culture week. Welcome to our world! Gergana Toleva (Global Marketing Manager) Paper cutting The art of paper cutting is one of the most intricate arts with paper we’ve ever seen. It is oftentimes called chuāng huā ( ), window flowers or window paper- cuts as it was窗花 used to decorate windows and doors, so the light can shine through the cutout and create wondrous effects. They are usually made of red paper and symbolize luck and happiness. About Chinese Fonts When it comes to Chinese language, we don’t need to quote Traditional Chinese was used prior to 1954. Traditional numbers and statistics to convince someone that it’s one Chinese is still used widely in Chinatowns outside of China, of the most widely used languages in the world. Everyone as well as in Hong-Kong, Taiwan and Macau, where it’s the knows that. It’s a beautiful and fascinating language, and it official written language. In Mainland China, it’s used only in looks so different than most western languages that we’re extremely formal cases. -
PDF Copy of My Gsoc Proposal
GSoC Proposal for Haiku Add Haiku Support for new Harfbuzz library ● Full name: Deepanshu Goyal ● Timezone: +0530 ● Email address: [email protected] ● IRC username (freenode.net): digib0y ● Trac username (dev.haiku-os.org): digib0y ● Trac ticket(s) containing patches for Haiku/ Pull requests: ○ https://github.com/haiku/website/pull/26 ○ https://github.com/haiku/website/pull/41 ○ https://github.com/haikuports/haikuports/pull/1204 ○ https://github.com/HaikuArchives/ArtPaint/pull/54 We also had technical discussions over few issues in ArtPaint which you can checkout: https://github.com/HaikuArchives/ArtPaint/issues , I have also commented few lines of code in one the issues which you might be interested in! Apart from these I have submitted a patch to Haiku however most of the work on the patch was already done by a previous contributor . https://dev.haiku-os.org/attachment/ticket/11518/0001-Implemented-BFont-Blocks-added-build-featur e-for-fon.patch ● GitHub (or other public) repository: https://github.com/digib0y/ ● Will you treat Google Summer of Code as full time employment? Yes, I do understand that Google Summer of Code is a full time virtual internship and I have no other commitment to any other internship, job, and exams. ● How many hours per week will you work? I will work for 40-50 hours a week, with give work update on every alternate day to the assigned mentor.. ● List all obligations (and their dates) that may take time away from GSoC (a second job, vacations, classes, ...): One day per week will be an off day, most probably weekend only if the goals for the week has been completed. -
The Sectionbreak Package∗
The sectionbreak package∗ Michal Hoftich 2019-03-11 Contents 1 The sectionbreak package 1 1.1 Package options . 1 1.2 Commands . 1 1.3 The tex4ht support . 2 2 Example 2 3 License 2 4 Changelog 3 1 The sectionbreak package This package provides LaTeX support for section breaks, used mainly in fiction books to signal changes in a story, like changes in time, location, etc. (Source: Wikipedia1). 1.1 Package options There are several package options: disable disable section break printing. mark characters printed in the center of the section break. It is space by default, common value might be *** for example. asterism request asterism2 as a section mark. preskip Amount of space printed before the section mark. It should be a dimension unit supported by TeX. postskip Similar to preskip, but it is a space printed after the section mark. skip Set both preskip and postskip to the same value. style LaTeX commands for font style change, like \bfseries, for example. ∗Version v0.1d 1<https://en.wikipedia.org/wiki/Section_(typography)> 2<https://en.wikipedia.org/wiki/Asterism_(typography)> 1 1.2 Commands \sectionbreak[<mark>] print the section break. Optional argument can contain content which should be printed in the break center. \sectionbreakmark{<mark>} set the content printed in the following \sectionbreak commands. \asterism print the asterism (***) symbol. 1.3 The tex4ht support The sectionbreak package has support for tex4ht, so it is possible to use this package in conversion to HTML or other formats supported by this conversion system. It provides the following configurations: \Configure{sectionbreak}{before section break }{after section} this configuration can be used for insertion of a box around the section break mark, which can be styled using CSS to print the blank space around the content. -
AIX Globalization
AIX Version 7.1 AIX globalization IBM Note Before using this information and the product it supports, read the information in “Notices” on page 233 . This edition applies to AIX Version 7.1 and to all subsequent releases and modifications until otherwise indicated in new editions. © Copyright International Business Machines Corporation 2010, 2018. US Government Users Restricted Rights – Use, duplication or disclosure restricted by GSA ADP Schedule Contract with IBM Corp. Contents About this document............................................................................................vii Highlighting.................................................................................................................................................vii Case-sensitivity in AIX................................................................................................................................vii ISO 9000.....................................................................................................................................................vii AIX globalization...................................................................................................1 What's new...................................................................................................................................................1 Separation of messages from programs..................................................................................................... 1 Conversion between code sets.............................................................................................................