On the Origin of the Indian Brahma Alphabet

Total Page:16

File Type:pdf, Size:1020Kb

Load more

Recommended publications
  • Numbers - the Essence

    Numbers - the Essence

    Numbers - the essence A computer consists in essence of a sequence of electrical on/off switches. Big question: How do switches become a computer? ITEC 1000 Introduction to Information Technologies 1 Friday, September 25, 2009 • A single switch is called a bit • A sequence of 8 bits is called a byte • Two or more bytes are often grouped to form word • Modern laptop/desktop standardly will have memory of 1 gigabyte = 1,000,000,000 bytes ITEC 1000 Introduction to Information Technologies 2 Friday, September 25, 2009 Question: How do encode information with switches ? Answer: With numbers - binary numbers using only 0’s and 1’s where for each switch on position = 1 off position = 0 ITEC 1000 Introduction to Information Technologies 3 Friday, September 25, 2009 • For a byte consisting of 8 bits there are a total of 28 = 256 ways to place 0’s and 1’s. Example 0 1 0 1 1 0 1 1 • For each grouping of 4 bits there are 24 = 16 ways to place 0’s and 1’s. • For a byte the first and second groupings of four bits can be represented by two hexadecimal digits • this will be made clear in following slides. ITEC 1000 Introduction to Information Technologies 4 Friday, September 25, 2009 Bits & Bytes imply creation of data and computer analysis of data • storing data (reading) • processing data - arithmetic operations, evaluations & comparisons • output of results ITEC 1000 Introduction to Information Technologies 5 Friday, September 25, 2009 Numeral systems A numeral system is any method of symbolically representing the counting numbers 1, 2, 3, 4, 5, .
  • Literary History of Sanskrit Buddhism : from Winternitz, Sylvain Levi

    Literary History of Sanskrit Buddhism : from Winternitz, Sylvain Levi

    LITERARY HISTORY OF Sanskrit Buddhism (From Winternitz, Syivain Levi, Huser) Ze G. K. NARIMAN ( Author of Religion of the Iranion Proples Sranian Influence on Muslim Literature ) Second Impremion. May 1923. Bombay: INDIAN BOOK DEPOT, 55, MEADOW STREET. FORT Linotyped and Printed by Mr. lhanythoy osabhoy at The Commercial Printing Press, (of The Tata Publicity Corporation, Limited,) 11, Cowasii Patell Strect, Fort, Jombay, and published by Indian Book lepot, 55, Meadow Street, Fort, Bonibay, LITERARY HISTORY OF SANSKRIT BUDDHISM (From Winternrrz, Syivain Tkevi, Huger) (Author of Religion of the Iranian Lranian May 1923. BOMBar: INDIAN BOOK DEPOT, G8, MEADOW STREET. FORT. OFFERED AS A TRIBUTE OF APPRECIATION TO Sir RABINDRANATH TAGORE THE POET SCHOLAR OF AWAKENING ORIENT. CONTENTS. FOREWORD, Paar, Introductory aes ‘sai aoe oe we CHAPTER I. ‘The two schools of Buddhism wee Essence of Mahayana... a eee «CHAPTER IL Sanskrit Buddhist canon oo ae on on . CHAPTER IIL. Mahavastu =... oe on ae oo on i Importance of Mahavastu ... ee tae so 18 Its Jatakas aes ove oe ove rE) Mabavastu and Puranas on on is More Mahayana affinities... one . 7 Antiquity of Mahavastu oo ae we on Ww CHAPTER Iv. Lalitavistara 4. oo oe o os 19 Extravagant imagery ... ae oo ae 20 Conception and Birth of Buddha... ase 20 Sin of unbelief - ne we oo te 22 Pali and Sanskrit. go back to an oldcr source 28 The Buddha at school aes oo 28 Acts of the Buddha ... oe oy 24 Component elements of Lalitavistara et Translation into Chinese and Tibetan “ee 25 Relation to Buddhist art ae - on 28 No image in primitve Buddhism ww 26 General estimate of Lalitavistara o “ 27 CHAPTER V.
  • The Personal Name Here Is Again Obscure. At

    The Personal Name Here Is Again Obscure. At

    342 THE FIRST ARAMAIC INSCRIPTION FROM INDIA 1. 10 : " his conduct " ? 1. 11 : " and also his sons." 1. 12 : the personal name here is again obscure. At the end of the line are traces of the right-hand side of a letter, which might be samekh or beth; if we accept the former, it is possible to vocalize as Pavira-ram, i.e. Pavira-rdja, corresponding to the Sanskrit Pravira- rdja. The name Pravira is well known in epos, and might well be borne by a real man ; and the change of a sonant to a surd consonant, such as that of j to «, is quite common in the North-West dialects. L. D. BARNETT. THE FIRST ARAMAIC INSCRIPTION FROM INDIA I must thank Mr. F. W. Thomas for his great kindness in sending me the photograph taken by Sir J. H. Marshall, and also Dr. Barnett for letting me see his tracing and transliteration. The facsimile is made from the photo- graph, which is as good as it can be. Unfortunately, on the original, the letters are as white as the rest of the marble, and it was necessary to darken them in order to obtain a photograph. This process inti'oduces an element of uncertainty, since in some cases part of a line may have escaped, and in others an accidental scratch may appear as part of a letter. Hence the following passages are more or less doubtful: line 4, 3PI; 1. 6, Tpfl; 1. 8, "123 and y\; 1. 9, the seventh and ninth letters; 1. 10, ID; 1.
  • 5892 Cisco Category: Standards Track August 2010 ISSN: 2070-1721

    5892 Cisco Category: Standards Track August 2010 ISSN: 2070-1721

    Internet Engineering Task Force (IETF) P. Faltstrom, Ed. Request for Comments: 5892 Cisco Category: Standards Track August 2010 ISSN: 2070-1721 The Unicode Code Points and Internationalized Domain Names for Applications (IDNA) Abstract This document specifies rules for deciding whether a code point, considered in isolation or in context, is a candidate for inclusion in an Internationalized Domain Name (IDN). It is part of the specification of Internationalizing Domain Names in Applications 2008 (IDNA2008). Status of This Memo This is an Internet Standards Track document. This document is a product of the Internet Engineering Task Force (IETF). It represents the consensus of the IETF community. It has received public review and has been approved for publication by the Internet Engineering Steering Group (IESG). Further information on Internet Standards is available in Section 2 of RFC 5741. Information about the current status of this document, any errata, and how to provide feedback on it may be obtained at http://www.rfc-editor.org/info/rfc5892. Copyright Notice Copyright (c) 2010 IETF Trust and the persons identified as the document authors. All rights reserved. This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (http://trustee.ietf.org/license-info) in effect on the date of publication of this document. Please review these documents carefully, as they describe your rights and restrictions with respect to this document. Code Components extracted from this document must include Simplified BSD License text as described in Section 4.e of the Trust Legal Provisions and are provided without warranty as described in the Simplified BSD License.
  • Ancient Indian Mathematical Evolution Since Counting

    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).
  • Yonas and Yavanas in Indian Literature Yonas and Yavanas in Indian Literature

    Yonas and Yavanas in Indian Literature Yonas and Yavanas in Indian Literature

    YONAS AND YAVANAS IN INDIAN LITERATURE YONAS AND YAVANAS IN INDIAN LITERATURE KLAUS KARTTUNEN Studia Orientalia 116 YONAS AND YAVANAS IN INDIAN LITERATURE KLAUS KARTTUNEN Helsinki 2015 Yonas and Yavanas in Indian Literature Klaus Karttunen Studia Orientalia, vol. 116 Copyright © 2015 by the Finnish Oriental Society Editor Lotta Aunio Co-Editor Sari Nieminen Advisory Editorial Board Axel Fleisch (African Studies) Jaakko Hämeen-Anttila (Arabic and Islamic Studies) Tapani Harviainen (Semitic Studies) Arvi Hurskainen (African Studies) Juha Janhunen (Altaic and East Asian Studies) Hannu Juusola (Middle Eastern and Semitic Studies) Klaus Karttunen (South Asian Studies) Kaj Öhrnberg (Arabic and Islamic Studies) Heikki Palva (Arabic Linguistics) Asko Parpola (South Asian Studies) Simo Parpola (Assyriology) Rein Raud (Japanese Studies) Saana Svärd (Assyriology) Jaana Toivari-Viitala (Egyptology) Typesetting Lotta Aunio ISSN 0039-3282 ISBN 978-951-9380-88-9 Juvenes Print – Suomen Yliopistopaino Oy Tampere 2015 CONTENTS PREFACE .......................................................................................................... XV PART I: REFERENCES IN TEXTS A. EPIC AND CLASSICAL SANSKRIT ..................................................................... 3 1. Epics ....................................................................................................................3 Mahābhārata .........................................................................................................3 Rāmāyaṇa ............................................................................................................25
  • 16-Sanskrit-In-JAPAN.Pdf

    16-Sanskrit-In-JAPAN.Pdf

    A rich literary treasure of Sanskrit literature consisting of dharanis, tantras, sutras and other texts has been kept in Japan for nearly 1400 years. Entry of Sanskrit Buddhist scriptures into Japan was their identification with the central axis of human advance. Buddhism opened up unfathomed spheres of thought as soon as it reached Japan officially in AD 552. Prince Shotoku Taishi himself wrote commentaries and lectured on Saddharmapundarika-sutra, Srimala- devi-simhanada-sutra and Vimala-kirt-nirdesa-sutra. They can be heard in the daily recitation of the Japanese up to the day. Palmleaf manuscripts kept at different temples since olden times comprise of texts which carry immeasurable importance from the viewpoint of Sanskrit philology although some of them are incomplete Sanskrit manuscripts crossed the boundaries of India along with the expansion of Buddhist philosophy, art and thought and reached Japan via Central Asia and China. Thousands of Sanskrit texts were translated into Khotanese, Tokharian, Uigur and Sogdian in Central Asia, on their way to China. With destruction of monastic libraries, most of the Sanskrit literature perished leaving behind a large number of fragments which are discovered by the great explorers who went from Germany, Russia, British India, Sweden and Japan. These excavations have uncovered vast quantities of manuscripts in Sanskrit. Only those manuscripts and texts have survived which were taken to Nepal and Tibet or other parts of Asia. Their translations into Tibetan, Chinese and Mongolian fill the gap, but partly. A number of ancient Sanskrit manuscripts are strewn in the monasteries nestling among high mountains and waterless deserts.
  • Lecture 2: Arithmetic

    Lecture 2: Arithmetic

    E-320: Teaching Math with a Historical Perspective Oliver Knill, 2010-2017 Lecture 2: Arithmetic The oldest mathematical discipline is arithmetic. It is the theory of the construction and manip- ulation of numbers. The earliest steps were done by Babylonian, Egyptian, Chinese, Indian and Greek thinkers. Building up the number system starts with the natural numbers 1; 2; 3; 4::: which can be added and multiplied. Addition is natural: join 3 sticks to 5 sticks to get 8 sticks. Multiplication ∗ is more subtle: 3 ∗ 4 means to take 3 copies of 4 and get 4 + 4 + 4 = 12 while 4 ∗ 3 means to take 4 copies of 3 to get 3 + 3 + 3 + 3 = 12. The first factor counts the number of operations while the second factor counts the objects. To motivate 3 ∗ 4 = 4 ∗ 3, spacial insight motivates to arrange the 12 objects in a rectangle. This commutativity axiom will be carried over to larger number systems. Realizing an addition and multiplicative structure on the natural numbers requires to define 0 and 1. It leads naturally to more general numbers. There are two major motivations to to build new numbers: we want to 1. invert operations and still get results. 2. solve equations. To find an additive inverse of 3 means solving x + 3 = 0. The answer is a negative number. To solve x ∗ 3 = 1, we get to a rational number x = 1=3. To solve x2 = 2 one need to escape to real numbers. To solve x2 = −2 requires complex numbers. Numbers Operation to complete Examples of equations to solve Natural numbers addition and multiplication 5 + x = 9 Positive fractions addition and
  • Arabic Numeral

    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.
  • ISO/IEC International Standard 10646-1

    ISO/IEC International Standard 10646-1

    ISO/IEC 10646:2003/Amd.6:2009(E) Information technology — Universal Multiple-Octet Coded Character Set (UCS) — AMENDMENT 6: Bamum, Javanese, Lisu, Meetei Mayek, Samaritan, and other characters Page 2, Clause 3, Normative references Click on this highlighted text to access the reference file. Update the reference to the Unicode Bidirectional Algo- NOTE 5 – The content is also available as a separate view- rithm and the Unicode Normalization Forms as follows: able file in the same file directory as this document. The file is named: “CJKU_SR.txt”. Unicode Standard Annex, UAX#9, The Unicode Bidi- rectional Algorithm: Page 25, Clause 29, Named UCS Sequence http://www.unicode.org/reports/tr9/tr9-21.html. Identifiers Unicode Standard Annex, UAX#15, Unicode Normali- Insert the additional 290 sequence identifiers zation Forms: http://www.unicode.org/reports/tr15/tr15-31.html. <0B95, 0BCD> TAMIL CONSONANT K <0B99, 0BCD> TAMIL CONSONANT NG Page 14, Sub-clause 20.3, Format characters <0B9A, 0BCD> TAMIL CONSONANT C <0B9E, 0BCD> TAMIL CONSONANT NY Insert the following entry in the list of formats charac- <0B9F, 0BCD> TAMIL CONSONANT TT ters: <0BA3, 0BCD> TAMIL CONSONANT NN <0BA4, 0BCD> TAMIL CONSONANT T 110BD KAITHI NUMBER SIGN <0BA8, 0BCD> TAMIL CONSONANT N <0BAA, 0BCD> TAMIL CONSONANT P Page 20, Sub-clause 26.1, Hangul syllable <0BAE, 0BCD> TAMIL CONSONANT M composition method <0BAF, 0BCD> TAMIL CONSONANT Y <0BB0, 0BCD> TAMIL CONSONANT R <0BB2, 0BCD> TAMIL CONSONANT L Insert the following note after Note 2. <0BB5, 0BCD> TAMIL CONSONANT V NOTE 3 – Hangul text can be represented in several differ- <0BB4, 0BCD> TAMIL CONSONANT LLL ent ways in this standard.
  • About Numbers How These Basic Tools Appeared and Evolved in Diverse Cultures by Allen Klinger, Ph.D., New York Iota ’57

    About Numbers How These Basic Tools Appeared and Evolved in Diverse Cultures by Allen Klinger, Ph.D., New York Iota ’57

    About Numbers How these Basic Tools Appeared and Evolved in Diverse Cultures By Allen Klinger, Ph.D., New York Iota ’57 ANY BIRDS AND Representation of quantity by the AUTHOR’S NOTE insects possess a The original version of this article principle of one-to-one correspondence 1 “number sense.” “If is on the web at http://web.cs.ucla. was undoubtedly accompanied, and per- … a bird’s nest con- edu/~klinger/number.pdf haps preceded, by creation of number- mtains four eggs, one may be safely taken; words. These can be divided into two It was written when I was a fresh- but if two are removed, the bird becomes man. The humanities course had an main categories: those that arose before aware of the fact and generally deserts.”2 assignment to write a paper on an- the concept of number unrelated to The fact that many forms of life “sense” thropology. The instructor approved concrete objects, and those that arose number or symmetry may connect to the topic “number in early man.” after it. historic evolution of quantity in differ- At a reunion in 1997, I met a An extreme instance of the devel- classmate from 1954, who remem- ent human societies. We begin with the bered my paper from the same year. opment of number-words before the distinction between cardinal (counting) As a pack rat, somehow I found the abstract concept of number is that of the numbers and ordinal ones (that show original. Tsimshian language of a tribe in British position as in 1st or 2nd).
  • A STUDY of WRITING Oi.Uchicago.Edu Oi.Uchicago.Edu /MAAM^MA

    A STUDY of WRITING Oi.Uchicago.Edu Oi.Uchicago.Edu /MAAM^MA

    oi.uchicago.edu A STUDY OF WRITING oi.uchicago.edu oi.uchicago.edu /MAAM^MA. A STUDY OF "*?• ,fii WRITING REVISED EDITION I. J. GELB Phoenix Books THE UNIVERSITY OF CHICAGO PRESS oi.uchicago.edu This book is also available in a clothbound edition from THE UNIVERSITY OF CHICAGO PRESS TO THE MOKSTADS THE UNIVERSITY OF CHICAGO PRESS, CHICAGO & LONDON The University of Toronto Press, Toronto 5, Canada Copyright 1952 in the International Copyright Union. All rights reserved. Published 1952. Second Edition 1963. First Phoenix Impression 1963. Printed in the United States of America oi.uchicago.edu PREFACE HE book contains twelve chapters, but it can be broken up structurally into five parts. First, the place of writing among the various systems of human inter­ communication is discussed. This is followed by four Tchapters devoted to the descriptive and comparative treatment of the various types of writing in the world. The sixth chapter deals with the evolution of writing from the earliest stages of picture writing to a full alphabet. The next four chapters deal with general problems, such as the future of writing and the relationship of writing to speech, art, and religion. Of the two final chapters, one contains the first attempt to establish a full terminology of writing, the other an extensive bibliography. The aim of this study is to lay a foundation for a new science of writing which might be called grammatology. While the general histories of writing treat individual writings mainly from a descriptive-historical point of view, the new science attempts to establish general principles governing the use and evolution of writing on a comparative-typological basis.