Śaṅkaranārāyaṇa
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Śaṅkaranārāyaṇa
Sankara Narayana (c. 840 – c. 900 AD) was an Indian astronomer-mathematician in the court of Ravi Kulasekhara (c. 844 – c. 883 AD) of the Chera Perumal kingdom of Kerala.Narayanan, M. G. S. ''Perumāḷs of Kerala.'' Thrissur (Kerala): CosmoBooks, 2013. 78-79 and 390-91. He is best known as the author of ''Laghu Bhaskariya Vivarana'' or ''Vyakha'' (869/870 AD), a detailed commentary on treatise ''Laghu Bhaskariya'' by 7th century mathematician Bhaskara I (which in turn was based on the works of the 5th century polymath Aryabhata). Sankara Narayana is known to have established an astronomical observatory at the port of Kodungallur in central Kerala. ''Laghu Bhaskariya Vivarana'' (Chapter VII), produced in the court of king Ravi Kulasekhara at Kodungallur, explicitly states that it was composed in Saka Year 791 (=869/70 AD). It is also mentions that the year was the 25th regnal year of king Ravi Kulasekhara.Narayanan, M. G. S. ''Perumāḷs of Kerala.'' Thrissur (Kerala ...
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Sthāṇu Ravi Kulaśekhara
Sthanu Ravi Varma ( early Malayalam and Tamil: Ko Tanu Iravi), known as the Kulasekhara, was the Chera Perumal ruler of Kerala in southern India from 844/45 to 870/71 AD.Noburu Karashmia (ed.), A Concise History of South India: Issues and Interpretations'' New Delhi: Oxford University Press, 2014. 143-44.'Changes in Land Relations during the Decline of the Cera State,' In Kesavan Veluthat and Donald R. Davis Jr. (eds), Irreverent History:- Essays for M.G.S. Narayanan'' Primus Books, New Delhi, 2014. 74-75. He is the earliest Chera Perumal ruler known to scholars. The Chera Perumal relations with the Chola dynasty were inaugurated during the reign of Sthanu Ravi.Narayanan, M. G. S. ''Perumāḷs of Kerala.'' Thrissur (Kerala): CosmoBooks, 2013. 64-66 and 78-79. The famous Quilon Syrian Christian copper plates are dated in the fifth regnal year of king Sthanu Ravi. Two more inscriptions dated in the regnal years of Sthanu Ravi can be found at Irinjalakuda Kudalmanikyam Temple, ...
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Indeterminate Equation
In mathematics, particularly in algebra, an indeterminate equation is an equation for which there is more than one solution. For example, the equation ax + by =c is a simple indeterminate equation, as is x^2=1. Indeterminate equations cannot be solved uniquely. In fact, in some cases it might even have infinitely many solutions. Some of the prominent examples of indeterminate equations include: Univariate polynomial equation: :a_nx^n+a_x^+\dots +a_2x^2+a_1x+a_0 = 0, which has multiple solutions for the variable x in the complex plane—unless it can be rewritten in the form a_n(x-b)^n = 0. Non-degenerate conic equation: :Ax^2 + Bxy + Cy^2 +Dx + Ey + F = 0, where at least one of the given parameters A, B, and C is non-zero, and x and y are real variables. Pell's equation: :\ x^2 - Py^2 = 1, where P is a given integer that is not a square number, and in which the variables x and y are required to be integers. The equation of Pythagorean triples: :x^2+y^2=z^2, in which the ...
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People From Thrissur District
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of p ...
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Hindu Astronomy
Astronomy has long history in Indian subcontinent stretching from pre-historic to modern times. Some of the earliest roots of Indian astronomy can be dated to the period of Indus Valley civilisation or earlier. Astronomy later developed as a discipline of Vedanga, or one of the "auxiliary disciplines" associated with the study of the Vedas,Sarma (2008), ''Astronomy in India'' dating 1500 BCE or older. The oldest known text is the '' Vedanga Jyotisha'', dated to 1400–1200 BCE (with the extant form possibly from 700 to 600 BCE). Indian astronomy was influenced by Greek astronomy beginning in the 4th century BCEHighlights of Astronomy, Volume 11B: As presented at the XXIIIrd General Assembly of the IAU, 1997. Johannes Andersen Springer, 31 January 1999 – Science – 616 pages. page 72/ref>Babylon to Voyager and Beyond: A History of Planetary Astronomy. David Leverington. Cambridge University Press, 29 May 2010 – Science – 568 pages. page 4/ref>The History and Practice of Anc ...
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History Of Mathematics
The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the patterns in nature, the field of astronomy and to record time and formulate calendars. The earliest mathematical texts available are from Mesopotamia and Egypt – '' Plimpton 322'' ( Babylonian c. 2000 – 1900 BC), the ''Rhind Mathematical Papyrus'' ( Egyptian c. 1800 BC) and the '' Moscow Mathematical Papyrus'' (Egyptian c. 1890 BC). All of these texts mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most anci ...
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Indian Mathematics
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varāhamihira. The decimal number system in use today: "The measure of the genius of Indian civilisation, to which we owe our modern (number) system, is all the greater in that it was the only one in all history to have achieved this triumph. Some cultures succeeded, earlier than the Indian, in discovering one or at best two of the characteristics of this intellectual feat. But none of them managed to bring together into a complete and coherent system the necessary and sufficient conditions for a number-system with the same potential as our own." was first recorded in Indian mathematics. Indian mathematicians made early contributions to the study of the concept of zero as a number,: "...our decimal system, which (by ...
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Shaka Era
The Shaka era ( IAST: Śaka, Śāka) is a historical Hindu calendar era (year numbering), the epoch (its year zero) of which corresponds to Julian year 78. The era has been widely used in different regions of India as well as in SE Asia. History There are two Shaka era systems in scholarly use, one is called ''Old Shaka Era'', whose epoch is uncertain, probably sometime in the 1st millennium BCE because ancient Buddhist and Jaina inscriptions and texts use it, but this is a subject of dispute among scholars. The other is called ''Saka Era of 78 CE'', or simply ''Saka Era'', a system that is common in epigraphic evidence from southern India. A parallel northern India system is the ''Vikrama Era'', which is used by the Vikrami calendar linked to Vikramaditya. The beginning of the Shaka era is now widely equated to the ascension of king Chashtana in 78 CE. His inscriptions, dated to the years 11 and 52, have been found at Andhau in Kutch region. These years are interpreted a ...
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Malayalam Calendar
The Malayalam Calendar is a sidereal solar calendar used in Kerala. The origin of the calendar has been dated to 825 CE, the beginning of the Kollam Era. There are many theories regarding the origin of the era, but according to recent scholarship, it commemorated the foundation of Kollam after the liberation of the southern Chera kingdom (known as Venadu) from the Chola dynasty's rule by or with the assistance of the Chera emperor at Kodungallur. The origin of the Kollam Era has been dated to 825 CE, at the end of the three year-long great convention in Kollam held at the behest of the Venadu King Kulasekharan. Scholars from west and east were present in the convention, and the Thamizh Kanakku (Calendar) was adopted. Kollam was the capital of Venadu and an important port town of the Chera Kingdom in that period. Kollam Aandu was adapted in the entire Chera Kingdom (the current day states of Tamil Nadu, Karnataka and Kerala), the majority of which is now in Kerala. In Malay ...
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Shiva
Shiva (; sa, शिव, lit=The Auspicious One, Śiva ), also known as Mahadeva (; ɐɦaːd̪eːʋɐ, or Hara, is one of the principal deities of Hinduism. He is the Supreme Being in Shaivism, one of the major traditions within Hinduism. Shiva is known as "The Destroyer" within the Trimurti, the Hindu trinity which also includes Brahma and Vishnu. In the Shaivite tradition, Shiva is the Supreme Lord who creates, protects and transforms the universe. In the goddess-oriented Shakta tradition, the Supreme Goddess (Devi) is regarded as the energy and creative power (Shakti) and the equal complementary partner of Shiva. Shiva is one of the five equivalent deities in Panchayatana puja of the Smarta tradition of Hinduism. Shiva has many aspects, benevolent as well as fearsome. In benevolent aspects, he is depicted as an omniscient Yogi who lives an ascetic life on Mount Kailash as well as a householder with his wife Parvati and his three children, Ganesha, Kartikeya and ...
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Sanskrit
Sanskrit (; attributively , ; nominally , , ) is a classical language belonging to the Indo-Aryan branch of the Indo-European languages. It arose in South Asia after its predecessor languages had diffused there from the northwest in the late Bronze Age. Sanskrit is the sacred language of Hinduism, the language of classical Hindu philosophy, and of historical texts of Buddhism and Jainism. It was a link language in ancient and medieval South Asia, and upon transmission of Hindu and Buddhist culture to Southeast Asia, East Asia and Central Asia in the early medieval era, it became a language of religion and high culture, and of the political elites in some of these regions. As a result, Sanskrit had a lasting impact on the languages of South Asia, Southeast Asia and East Asia, especially in their formal and learned vocabularies. Sanskrit generally connotes several Old Indo-Aryan language varieties. The most archaic of these is the Vedic Sanskrit found in the Rig Veda, a colle ...
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Place-value
Positional notation (or place-value notation, or positional numeral system) usually denotes the extension to any base of the Hindu–Arabic numeral system (or decimal system). More generally, a positional system is a numeral system in which the contribution of a digit to the value of a number is the value of the digit multiplied by a factor determined by the position of the digit. In early numeral systems, such as Roman numerals, a digit has only one value: I means one, X means ten and C a hundred (however, the value may be negated if placed before another digit). In modern positional systems, such as the decimal system, the position of the digit means that its value must be multiplied by some value: in 555, the three identical symbols represent five hundreds, five tens, and five units, respectively, due to their different positions in the digit string. The Babylonian numeral system, base 60, was the first positional system to be developed, and its influence is present today ...
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Numeration
A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems. For example, "11" represents the number ''eleven'' in the decimal numeral system (used in common life), the number ''three'' in the binary numeral system (used in computers), and the number ''two'' in the unary numeral system (e.g. used in tallying scores). The number the numeral represents is called its value. Not all number systems can represent all numbers that are considered in the modern days; for example, Roman numerals have no zero. Ideally, a numeral system will: *Represent a useful set of numbers (e.g. all integers, or rational numbers) *Give every number represented a unique representation (or at least a standard representation) *Reflect the algebraic and ar ...
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