Āryabhaṭa Numeration
   HOME
*





Āryabhaṭa Numeration
Āryabhaṭa numeration is an alphasyllabic numeral system based on Sanskrit phonemes. It was introduced in the early 6th century in India by Āryabhaṭa, in the first chapter titled ''Gītika Padam'' of his ''Aryabhatiya''. It attributes a numerical value to each syllable of the form consonant+vowel possible in Sanskrit phonology, from ' = 1 up to ' = 1018. History The basis of this number system is mentioned in the second stanza of the first chapter of ''Aryabhatiya''. The Varga (Group/Class) letters ''ka'' to ''ma'' are to be placed in the varga (square) places (1st, 100th, 10000th, etc.) and Avarga letters like ''ya'', ''ra'', ''la'' .. have to be placed in Avarga places (10th, 1000th, 100000th, etc.). The Varga letters ''ka'' to ''ma'' have value from 1, 2, 3 .. up to 25 and Avarga letters ''ya'' to ''ha'' have value 30, 40, 50.. up to 100. In the Varga and Avarga letters, beyond the ninth vowel (place), new symbols can be used. The values for vowels are as follow ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Alphasyllabic Numeral System
Alphasyllabic numeral systems are a type of numeral systems, developed mostly in India starting around 500 AD. Based on various alphasyllabic scripts, in this type of numeral systems glyphs of the numerals are not abstract signs, but syllables of a script, and numerals are represented with these syllable-signs. On the basic principle of these systems, numeric values of the syllables are defined by the consonants and vowels which constitute them, so that consonants and vowels are - or are not in some systems in case of vowels - ordered to numeric values. While there are many hundreds of possible syllables in a script, and since in alphasyllabic numeral systems several syllables receive the same numeric value, so the mapping is not injective. Alphasyllabaries The basic principle of the Indian alphasyllabaries is a set of 33 consonant-signs, which are combined with a set of about 20 diacritic marks that indicate vowels of the brahmi scripts, these produce a set of signs for syllab ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Palatal Consonant
Palatals are consonants articulated with the body of the tongue raised against the hard palate (the middle part of the roof of the mouth). Consonants with the tip of the tongue curled back against the palate are called retroflex. Characteristics The most common type of palatal consonant is the extremely common approximant , which ranks as among the ten most common sounds in the world's languages. The nasal is also common, occurring in around 35 percent of the world's languages, in most of which its equivalent obstruent is not the stop , but the affricate . Only a few languages in northern Eurasia, the Americas and central Africa contrast palatal stops with postalveolar affricates—as in Hungarian, Czech, Latvian, Macedonian, Slovak, Turkish and Albanian. Consonants with other primary articulations may be palatalized, that is, accompanied by the raising of the tongue surface towards the hard palate. For example, English (spelled ''sh'') has such a palatal component ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Numerals
A numeral is a figure, symbol, or group of figures or symbols denoting a number. It may refer to: * Numeral system used in mathematics * Numeral (linguistics), a part of speech denoting numbers (e.g. ''one'' and ''first'' in English) * Numerical digit, the glyphs used to represent numerals See also * Numerology Numerology (also known as arithmancy) is the belief in an occult, divine or mystical relationship between a number and one or more coinciding events. It is also the study of the numerical value, via an alphanumeric system, of the letters in ..., belief in a divine relationship between numbers and coinciding events {{disambiguation ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

IAST
The International Alphabet of Sanskrit Transliteration (IAST) is a transliteration scheme that allows the lossless romanisation of Indic scripts as employed by Sanskrit and related Indic languages. It is based on a scheme that emerged during the nineteenth century from suggestions by Charles Trevelyan, William Jones, Monier Monier-Williams and other scholars, and formalised by the Transliteration Committee of the Geneva Oriental Congress, in September 1894. IAST makes it possible for the reader to read the Indic text unambiguously, exactly as if it were in the original Indic script. It is this faithfulness to the original scripts that accounts for its continuing popularity amongst scholars. Usage Scholars commonly use IAST in publications that cite textual material in Sanskrit, Pāḷi and other classical Indian languages. IAST is also used for major e-text repositories such as SARIT, Muktabodha, GRETIL, and sanskritdocuments.org. The IAST scheme represents more than a ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Katapayadi System
''Kaṭapayādi'' system (Devanagari: कटपयादि, also known as ''Paralppēru'', Malayalam: :ml:പരല്‍പ്പേര്, പരല്‍പ്പേര്) of numerical notation is an ancient Indian alphasyllabic numeral system to depict letter (alphabet), letters to number, numerals for easy remembrance of numbers as words or Verse (poetry), verses. Assigning more than one letter to one numeral and nullifying certain other letters as valueless, this system provides the flexibility in forming meaningful words out of numbers which can be easily remembered. History The oldest available evidence of the use of ''Kaṭapayādi'' (Sanskrit: कटपयादि) system is from ''Grahacāraṇibandhana'' by Haridatta in 683 Common Era, CE.Sreeramamula Rajeswara Sarma, THE ''KATAPAYADI'' SYSTEM OF NUMERICAL NOTATION AND ITS SPREAD OUTSIDE KERALA, ''Rev. d'Histoire de Mathmatique'' 18 (2012/ref> It has been used in ''Laghu·bhāskarīya·vivaraṇa'' written by ' ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  




Bhutasamkhya System
The Bhūtasaṃkhyā system is a method of recording numbers in Sanskrit using common nouns having connotations of numerical values. The method was introduced already in astronomical texts in antiquity, but it was expanded and developed during the medieval period. A kind of rebus system, bhūtasaṃkhyā has also been called the "concrete number notation". For example, the number "two" was associated with the word "eye" as every human being has two eyes. Thus every Sanskrit word having the meaning "eye" was used to denote "two". All words synonymous with the meaning "earth" could be used to signify the number "one" as there is only one earth, etc. In the more expansive examples of application, concepts, ideas and objects from all parts of the Sanskrit lexicon were harvested to generate number-connoting words, resulting in a kind of kenning system for numbers. Thus, every Sanskrit word indicating an "arrow" has been used to denote "five" as Kamadeva, the Hindu deity of love ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Aksharapalli
Aksharapalli () is a certain type of alphasyllabic numeration scheme extensively used in the pagination of manuscripts produced in India in pre-modern times. The name ''Aksharapalli'' can be translated as the ''letter system''. In this system the letters or the syllables of the script in which the manuscript is written are used to denote the numbers. In contrast to the Aksharapalli system, the ordinary decimal system is called the ''Ankapalli'' system. Examples of syllables used to represent numerals The following tables give examples of syllables used to represent numerals. The lists are not exhaustive. Usage When the Aksharapalli system is used, the various syllables that constitute a number are placed one below the other as in the Chinese language and they are written in the margins of the various leaves of the manuscript. This arrangement may be the consequence an attempt to save space for the contents of the manuscript. This method can be seen in the earliest available ma ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Glottal Consonant
Glottal consonants are consonants using the glottis as their primary articulation. Many phoneticians consider them, or at least the glottal fricative, to be transitional states of the glottis without a point of articulation as other consonants have, while some do not consider them to be consonants at all. However, glottal consonants behave as typical consonants in many languages. For example, in Literary Arabic, most words are formed from a root ''C-C-C'' consisting of three consonants, which are inserted into templates such as or . The glottal consonants and can occupy any of the three root consonant slots, just like "normal" consonants such as or . The glottal consonants in the International Phonetic Alphabet are as follows: Characteristics In many languages, the "fricatives" are not true fricatives. This is a historical usage of the word. They instead represent transitional states of the glottis ( phonation) without a specific place of articulation, and may behave as ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Fricative Consonant
A fricative is a consonant produced by forcing air through a narrow channel made by placing two articulators close together. These may be the lower lip against the upper teeth, in the case of ; the back of the tongue against the soft palate in the case of German (the final consonant of ''Bach''); or the side of the tongue against the molars, in the case of Welsh (appearing twice in the name ''Llanelli''). This turbulent airflow is called frication. A particular subset of fricatives are the sibilants. When forming a sibilant, one still is forcing air through a narrow channel, but in addition, the tongue is curled lengthwise to direct the air over the edge of the teeth. English , , , and are examples of sibilants. The usage of two other terms is less standardized: "Spirant" is an older term for fricatives used by some American and European phoneticians and phonologists. "Strident" could mean just "sibilant", but some authors include also labiodental and uvular fricatives in ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Coronal Consonant
Coronals are consonants articulated with the flexible front part of the tongue. Among places of articulation, only the coronal consonants can be divided into as many articulation types: apical (using the tip of the tongue), laminal (using the blade of the tongue), domed (with the tongue bunched up), or subapical (using the underside of the tongue) as well as different postalveolar articulations (some of which also involve the back of the tongue as an articulator): palato-alveolar, alveolo-palatal and retroflex. Only the front of the tongue (coronal) has such dexterity among the major places of articulation, allowing such variety of distinctions. Coronals have another dimension, grooved, to make sibilants in combination with the orientations above. Places of articulation Coronal places of articulation include the dental consonants at the upper teeth, the alveolar consonants at the upper gum (the alveolar ridge), the various postalveolar consonants (including domed palato-alv ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Trill Consonant
In phonetics, a trill is a consonantal sound produced by vibrations between the active articulator and passive articulator. Standard Spanish as in , for example, is an alveolar trill. A trill is made by the articulator being held in place and the airstream causing it to vibrate. Usually a trill vibrates for 2–3 contacts, but may be up to 5, or even more if geminate. However, trills may also be produced with only one contact. While single-contact trills are similar to taps and flaps, a tap or flap differs from a trill in that it is made by a muscular contraction rather than airstream. Phonemic trills Trill consonants included in the International Phonetic Alphabet: * – Voiced alveolar trill * – Voiceless alveolar trill * – Voiced bilabial trill * – Voiceless bilabial trill * – Voiced retroflex trill * – Voiced uvular trill * – Voiceless uvular trill * – voiced epiglottal trill * – voiceless epiglottal trill In addition, * – velopharyngeal ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  




Approximant Consonant
Approximants are speech sounds that involve the articulators approaching each other but not narrowly enough nor with enough articulatory precision to create turbulent airflow. Therefore, approximants fall between fricatives, which do produce a turbulent airstream, and vowels, which produce no turbulence. This class is composed of sounds like (as in ''rest'') and semivowels like and (as in ''yes'' and ''west'', respectively), as well as lateral approximants like (as in ''less''). Terminology Before Peter Ladefoged coined the term "approximant" in the 1960s, the terms "frictionless continuant" and "semivowel" were used to refer to non-lateral approximants. In phonology, "approximant" is also a distinctive feature that encompasses all sonorants except nasals, including vowels, taps and trills. Semivowels Some approximants resemble vowels in acoustic and articulatory properties and the terms ''semivowel'' and ''glide'' are often used for these non-syllabic vowel-like segme ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]