1 Numeric Formatting
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Nondecimal Positional Systems
M03_LONG0847_05_AIE_C03.qxd 9/17/07 10:38 AM Page 162 Not for Sale 162 CHAPTER 3 Numeration and Computation 3.2 Nondecimal Positional Systems In the preceding section, we discussed several numeration systems, including the decimal system in common use today. As already mentioned, the decimal system is a positional system based on 10. This is probably so because we have ten fingers and historically, as now, people often counted on their fingers. In the Did You Know box at the end of this section, we will give applications of positional systems that are based on whole numbers other than 10. One very useful application of bases other than ten is as a way to deepen our understanding of number systems, arithmetic in general, and our own decimal system. Although bases other than ten were in the K–5 curriculum in the past, they are not present currently. However, nondecimal positional systems are studied in the “math methods” course that is a part of an elementary education degree and may return to elementary school in the future. We will discuss addition and subtraction in base five in the next section and multiplication in base six in the following one. Base Five Notation For our purposes, perhaps the quickest route to understanding base five notation is to reconsider the abacus of Figure 3.1. This time, however, we allow only 5 beads to be moved forward on each wire. As before, we start with the wire to the students’ right (our left) and move 1 bead forward each time as we count 1, 2, 3, and so on. -
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). -
Zero Displacement Ternary Number System: the Most Economical Way of Representing Numbers
Revista de Ciências da Computação, Volume III, Ano III, 2008, nº3 Zero Displacement Ternary Number System: the most economical way of representing numbers Fernando Guilherme Silvano Lobo Pimentel , Bank of Portugal, Email: [email protected] Abstract This paper concerns the efficiency of number systems. Following the identification of the most economical conventional integer number system, from a solid criteria, an improvement to such system’s representation economy is proposed which combines the representation efficiency of positional number systems without 0 with the possibility of representing the number 0. A modification to base 3 without 0 makes it possible to obtain a new number system which, according to the identified optimization criteria, becomes the most economic among all integer ones. Key Words: Positional Number Systems, Efficiency, Zero Resumo Este artigo aborda a questão da eficiência de sistemas de números. Partindo da identificação da mais económica base inteira de números de acordo com um critério preestabelecido, propõe-se um melhoramento à economia de representação nessa mesma base através da combinação da eficiência de representação de sistemas de números posicionais sem o zero com a possibilidade de representar o número zero. Uma modificação à base 3 sem zero permite a obtenção de um novo sistema de números que, de acordo com o critério de optimização identificado, é o sistema de representação mais económico entre os sistemas de números inteiros. Palavras-Chave: Sistemas de Números Posicionais, Eficiência, Zero 1 Introduction Counting systems are an indispensable tool in Computing Science. For reasons that are both technological and user friendliness, the performance of information processing depends heavily on the adopted numbering system. -
Learning Language Pack Availability Company
ADMINISTRATION GUIDE | PUBLIC Document Version: Q4 2019 – 2019-11-08 Learning Language Pack Availability company. All rights reserved. All rights company. affiliate THE BEST RUN 2019 SAP SE or an SAP SE or an SAP SAP 2019 © Content 1 What's New for Learning Language Pack Availability....................................3 2 Introduction to Learning Language Support...........................................4 3 Adding a New Locale in SAP SuccessFactors Learning...................................5 3.1 Locales in SAP SuccessFactors Learning................................................6 3.2 SAP SuccessFactors Learning Locales Summary..........................................6 3.3 Activating Learning Currencies...................................................... 7 3.4 Setting Users' Learning Locale Preferences..............................................8 3.5 SAP SuccessFactors Learning Time and Number Patterns in Locales........................... 9 Editing Hints to Help SAP SuccessFactors Learning Users with Date, Time, and Number Patterns ......................................................................... 10 Adding Learning Number Format Patterns........................................... 11 Adding Learning Date Format Patterns..............................................12 3.6 Updating Language Packs.........................................................13 3.7 Editing User Interface Labels - Best Practice............................................ 14 4 SAP SuccessFactors LearningLearner Languages......................................15 -
DRAFT Arabtex a System for Typesetting Arabic User Manual Version 4.00
DRAFT ArabTEX a System for Typesetting Arabic User Manual Version 4.00 12 Klaus Lagally May 25, 1999 1Report Nr. 1998/09, Universit¨at Stuttgart, Fakult¨at Informatik, Breitwiesenstraße 20–22, 70565 Stuttgart, Germany 2This Report supersedes Reports Nr. 1992/06 and 1993/11 Overview ArabTEX is a package extending the capabilities of TEX/LATEX to generate the Perso-Arabic writing from an ASCII transliteration for texts in several languages using the Arabic script. It consists of a TEX macro package and an Arabic font in several sizes, presently only available in the Naskhi style. ArabTEX will run with Plain TEXandalsowithLATEX2e. It is compatible with Babel, CJK, the EDMAC package, and PicTEX (with some restrictions); other additions to TEX have not been tried. ArabTEX is primarily intended for generating the Arabic writing, but the stan- dard scientific transliteration can also be easily produced. For languages other than Arabic that are customarily written in extensions of the Perso-Arabic script some limited support is available. ArabTEX defines its own input notation which is both machine, and human, readable, and suited for electronic transmission and E-Mail communication. However, texts in many of the Arabic standard encodings can also be processed. Starting with Version 3.02, ArabTEX also provides support for fully vowelized Hebrew, both in its private ASCII input notation and in several other popular encodings. ArabTEX is copyrighted, but free use for scientific, experimental and other strictly private, noncommercial purposes is granted. Offprints of scientific publi- cations using ArabTEX are welcome. Using ArabTEX otherwise requires a license agreement. There is no warranty of any kind, either expressed or implied. -
D Igital Text
Digital text The joys of character sets Contents Storing text ¡ General problems ¡ Legacy character encodings ¡ Unicode ¡ Markup languages Using text ¡ Processing and display ¡ Programming languages A little bit about writing systems Overview Latin Cyrillic Devanagari − − − − − − Tibetan \ / / Gujarati | \ / − Armenian / Bengali SOGDIAN − Mongolian \ / / Gurumukhi SCRIPT Greek − Georgian / Oriya Chinese | / / | / Telugu / PHOENICIAN BRAHMI − − Kannada SINITIC − Japanese SCRIPT \ SCRIPT Malayalam SCRIPT \ / | \ \ Tamil \ Hebrew | Arabic \ Korean | \ \ − − Sinhala | \ \ | \ \ _ _ Burmese | \ \ Khmer | \ \ Ethiopic Thaana \ _ _ Thai Lao The easy ones Latin is the alphabet and writing system used in the West and some other places Greek and Cyrillic (Russian) are very similar, they just use different characters Armenian and Georgian are also relatively similar More difficult Hebrew is written from right−to−left, but numbers go left−to−right... Arabic has the same rules, but also requires variant selection depending on context and ligature forming The far east Chinese uses two ’alphabets’: hanzi ideographs and zhuyin syllables Japanese mixes four alphabets: kanji ideographs, katakana and hiragana syllables and romaji (latin) letters and numbers Korean uses hangul ideographs, combined from jamo components Vietnamese uses latin letters... The Indic languages Based on syllabic alphabets Require complex ligature forming Letters are not written in logical order, but require a strange ’circular’ ordering In addition, a single line consists of separate -
United States RBDS Standard Specification of the Radio Broadcast Data System (RBDS) April, 2005
NRSC STANDARD NATIONAL RADIO SYSTEMS COMMITTEE NRSC-4-A United States RBDS Standard Specification of the radio broadcast data system (RBDS) April, 2005 Part II - Annexes NAB: 1771 N Street, N.W. CEA: 1919 South Eads Street Washington, DC 20036 Arlington, VA 22202 Tel: (202) 429-5356 Fax: (202) 775-4981 Tel: (703) 907-7660 Fax: (703) 907-8113 Co-sponsored by the Consumer Electronics Association and the National Association of Broadcasters http://www.nrscstandards.org NOTICE NRSC Standards, Bulletins and other technical publications are designed to serve the public interest through eliminating misunderstandings between manufacturers and purchasers, facilitating interchangeability and improvement of products, and assisting the purchaser in selecting and obtaining with minimum delay the proper product for his particular need. Existence of such Standards, Bulletins and other technical publications shall not in any respect preclude any member or nonmember of the Consumer Electronics Association (CEA) or the National Association of Broadcasters (NAB) from manufacturing or selling products not conforming to such Standards, Bulletins or other technical publications, nor shall the existence of such Standards, Bulletins and other technical publications preclude their voluntary use by those other than CEA or NAB members, whether the standard is to be used either domestically or internationally. Standards, Bulletins and other technical publications are adopted by the NRSC in accordance with the NRSC patent policy. By such action, CEA and NAB do not assume any liability to any patent owner, nor do they assume any obligation whatever to parties adopting the Standard, Bulletin or other technical publication. Note: The user's attention is called to the possibility that compliance with this standard may require use of an invention covered by patent rights. -
1 Issues with the Decimal Separator in Compound Creator (CC) We Have DWSIM 4.0 Installed in the Computer Classrooms, S
1 Issues with the decimal separator in Compound Creator (CC) We have DWSIM 4.0 installed in the computer classrooms, since we do the installation once in a semester (starting in February), so we haven’t updated the software in the classroom (though I have 4.3 in my desktop). With version 4.0, a team of students “created “ succinic acid with CC. They used the comma as decimal separator in Windows and in DWSIM, including CC. They used the experimental boiling point of succinic acid (they introduced 508,15 K, probably unnecessary decimal figures). However, when they added the database and created a stream of pure succinic acid, the model gave an error, failing to calculate the VLE in the stream (NRTL Nested Loops). When we edited de CC file, the boiling point in the General properties tab was shown as 5015: The comma had disappeared. And this seemed to be the source of the error. We fixed it by defining the dot as decimal separator in Windows and introducing 508.15 K in CC. Then it worked. I tried to reproduce the error some days later in DWSIM 4.3, but all worked perfectly: comma in Windows and comma in DWSIM including CC. Just an example of how the use of comma or dot can be a bit confusing for the user. Also, it seems that Compound Creator in DWSIM 4.3 allows to use the comma as decimal separator. I attach a PDF with the details of “everything apparently OK” with the comma in CC in 4.3. -
A Ternary Arithmetic and Logic
Proceedings of the World Congress on Engineering 2010 Vol I WCE 2010, June 30 - July 2, 2010, London, U.K. A Ternary Arithmetic and Logic Ion Profeanu which supports radical ontological dualism between the two Abstract—This paper is only a chapter, not very detailed, of eternal principles, Good and Evil, which oppose each other a larger work aimed at developing a theoretical tool to in the course of history, in an endless confrontation. A key investigate first electromagnetic fields but not only that, (an element of Manichean doctrine is the non-omnipotence of imaginative researcher might use the same tool in very unusual the power of God, denying the infinite perfection of divinity areas of research) with the stated aim of providing a new perspective in understanding older or recent research in "free that has they say a dual nature, consisting of two equal but energy". I read somewhere that devices which generate "free opposite sides (Good-Bad). I confess that this kind of energy" works by laws and principles that can not be explained dualism, which I think is harmful, made me to seek another within the framework of classical physics, and that is why they numeral system and another logic by means of which I will are kept far away from public eye. So in the absence of an praise and bring honor owed to God's name; and because adequate theory to explain these phenomena, these devices can God is One Being in three personal dimensions (the Father, not reach the design tables of some plants in order to produce them in greater number. -
Decimal Sign in Sigmaplot
Decimal sign in SigmaPlot Data in the SigmaPlot worksheet can be text, numbers, or dates. Text is left-justified in the cell, numbers are right-justified. SigmaPlot works with decimal point or decimal comma, depending on the settings in Windows Control Panel > Regional and Language Options. Once a file has been imported, SigmaPlot “knows” the data format and displays it correctly. For importing however, the decimal sign format of the text file and of SigmaPlot must match. If they do not, there are two options: a) Set SigmaPlot to the settings which match those of the import file: close SigmaPlot, change the decimal settings in Windows, reopen SigmaPlot. b) Change the decimal sign in the text file to be imported. - You can do this in Notepad or any other editor (select all, replace). - Or you use one of the small utilities we have on our website (see below: 3. Utilities for decimal sign conversion). Background: SigmaPlot reads and applies the settings for decimal and list separators each time when it starts. There are two valid combinations: "point decimal" and "comma decimal". Either decimal separator = point list separator = comma or decimal separator = comma list separator = semicolon In Windows 2000, you find it under Control Panel > Regional Settings > Numbers. In Windows XP, you find it under Control Panel > Regional and Language Options > Regional Options > Customize > Numbers. In Windows 7, you find it under Control Panel > Region and Language > Formats > Additional settings > Numbers. This affects typing data into the worksheet, importing from text files, transforms language, and fit equation syntax. . -
The Arabi System — TEX Writes in Arabic and Farsi
The Arabi system | ] ¨r` [ A\ TEX writes in Arabic and Farsi Youssef Jabri Ecole´ Nationale des Sciences Appliqu´ees, Oujda, Morocco yjabri (at) ensa dot univ-oujda dot ac dot ma Abstract In this paper, we will present a newly arrived package on CTAN that provides Arabic script support for TEX without the need for an external pre-processor. The Arabi package adds one of the last major multilingual typesetting capabilities to Babel by adding support for the Arabic ¨r and Farsi ¨FCA languages. Other languages using the Arabic script should also be more or less easily imple- mentable. Arabi comes with many good quality free fonts, Arabic and Farsi, and may also use commercial fonts. It supports many 8-bit input encodings (namely, CP-1256, ISO-8859-6 and Unicode UTF-8) and can typeset classical Arabic poetry. The package is distributed under the LATEX Project Public License (LPPL), and has the LPPL maintenance status \author-maintained". It can be used freely (including commercially) to produce beautiful texts that mix Arabic, Farsi and Latin (or other) characters. Pl Y ¾Abn Tn ®¤ Tr` ¤r Am`tF TAk t§ A\ ¨r` TEC .¤r fOt TEX > < A\ Am`tFA d¤ dnts ¨ n A\ (¨FCA ¤ ¨r)tl Am`tF TAk S ¨r` TEC , T¤rm rb Cdq tmt§¤ ¯m ¢k zymt§ A\n @h , T§db @n¤ Y At§ ¯ ¢ Y TAR . AARn £EA A \` Am`tF® A ¢± ¾AO ¾AA ¨r` dq§ . Tmlk ¨ ¤r AkJ d§dt ¨CA A` © ¨ ¨t ªW d Am`tF ¢nkm§ Am Am`tF¯ r ªW Tmm ¯¤ ¨A ¨r` , A\n TbsnA A w¡ Am . -
Chapter 6 MISCELLANEOUS NUMBER BASES. the QUINARY
The Number Concept: Its Origin and Development By Levi Leonard Conant Ph. D. Chapter 6 MISCELLANEOUS NUMBER BASES. THE QUINARY SYSTEM. The origin of the quinary mode of counting has been discussed with some fulness in a preceding chapter, and upon that question but little more need be said. It is the first of the natural systems. When the savage has finished his count of the fingers of a single hand, he has reached this natural number base. At this point he ceases to use simple numbers, and begins the process of compounding. By some one of the numerous methods illustrated in earlier chapters, he passes from 5 to 10, using here the fingers of his second hand. He now has two fives; and, just as we say “twenty,” i.e. two tens, he says “two hands,” “the second hand finished,” “all the fingers,” “the fingers of both hands,” “all the fingers come to an end,” or, much more rarely, “one man.” That is, he is, in one of the many ways at his command, saying “two fives.” At 15 he has “three hands” or “one foot”; and at 20 he pauses with “four hands,” “hands and feet,” “both feet,” “all the fingers of hands and feet,” “hands and feet finished,” or, more probably, “one man.” All these modes of expression are strictly natural, and all have been found in the number scales which were, and in many cases still are, in daily use among the uncivilized races of mankind. In its structure the quinary is the simplest, the most primitive, of the natural systems.