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Karaṇa·paddhati
Karanapaddhati is an astronomical treatise in Sanskrit attributed to Puthumana Somayaji, an astronomer-mathematician of the Kerala school of astronomy and mathematics. The period of composition of the work is uncertain. C.M. Whish, a civil servant of the East India Company, brought this work to the attention of European scholars for the first time in a paper published in 1834. The book is divided into ten chapters and is in the form of verses in Sanskrit. The sixth chapter contains series expansions for the value of the mathematical constant π, and expansions for the trigonometric sine, cosine and inverse tangent functions. Author and date of Karanapaddhati Nothing definite is known about the author of Karanapaddhati. The last verse of the tenth chapter of Karanapaddhati describes the author as a Brahamin residing in a village named Sivapura. Sivapura is an area surrounding the present day Thrissur in Kerala, India. The period in which Somayaji lived is also uncertain. There ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Katapayadi System
''Kaṭapayādi'' system (Devanagari: कटपयादि, also known as ''Paralppēru'', Malayalam: പരല്പ്പേര്) of numerical notation is an ancient Indian alphasyllabic numeral system to depict letters to numerals for easy remembrance of numbers as words or 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 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 '' Sankara Narayana, Śaṅkara·nārāyaṇa'' in 869 CE. In some astronomical texts ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Puthumana Somayaji
Puthumana Somayaji (c.1660–1740) was a 17th-century astronomer-mathematician from Kerala, India. He was born into the Puthumana or Puthuvana (in Sanskrit, Nutanagriha or Nuthanvipina) family of Sivapuram (identified as present day Thrissur). The most famous work attributed to Puthumana Somayaji is '' Karanapaddhati'' which is a comprehensive treatise on Astronomy. Period of Somayaji The period in which Somayaji lived is uncertain. There are several theories in this regard. * C.M. Whish, the first westerner to write about Karanapaddhati, based on his interpretation that certain words appearing in the final verse of Karanapaddhati denote in katapayadi system the number of days in the ''Kali Yuga'', concluded that the book was completed in 1733 CE. Whish had also claimed that the grandson of the author of the Karanapaddhati was alive and was in his seventieth year at the time of writing his paper. * Based on reference to Puthumana Somayaji in a verse in Ganita Sucika Grantha by Gov ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moon
The Moon is Earth's only natural satellite. It Orbit of the Moon, orbits around Earth at Lunar distance, an average distance of (; about 30 times Earth diameter, Earth's diameter). The Moon rotation, rotates, with a rotation period (lunar day) that is synchronized to its orbital period (Lunar month#Synodic month, lunar month) of 29.5 Earth days. This is the product of Earth's gravitation having tidal forces, tidally pulled on the Moon until one part of it stopped rotating away from the near side of the Moon, near side, making always the same lunar surface face Earth. Conversley, the gravitational pull of the Moon, on Earth, is the main driver of Earth's tides. In geophysical definition of planet, geophysical terms, the Moon is a planetary-mass object or satellite planet. Its mass is 1.2% that of the Earth, and its diameter is , roughly one-quarter of Earth's (about as wide as the contiguous United States). Within the Solar System, it is the List of Solar System objects by ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Parameter
A parameter (), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when identifying the system, or when evaluating its performance, status, condition, etc. ''Parameter'' has more specific meanings within various disciplines, including mathematics, computer programming, engineering, statistics, logic, linguistics, and electronic musical composition. In addition to its technical uses, there are also extended uses, especially in non-scientific contexts, where it is used to mean defining characteristics or boundaries, as in the phrases 'test parameters' or 'game play parameters'. Modelization When a system theory, system is modeled by equations, the values that describe the system are called ''parameters''. For example, in mechanics, the masses, the dimensions and shapes (for solid bodies), the densities and t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Malayalam Calendar
The Malayalam Calendar, or the Kollam Era (), is a sidereal solar calendar used in Kerala. The origin of the calendar has been dated to 825 CE, commemorating the establishment of Kollam. There are many theories regarding the origin of the era, but according to recent scholarship, it commemorated the foundation of Kollam by Maruwan Sapir Iso, who was the leader of Persian Christian Settlers and trading guilds like Anjuvannam following the liberation of the Kingdom of Venad from the Chola rule by or with the assistance of the Chera emperor at Kodungallur. The Quilon Syrian copper plates were grants and privileges given to the trading guilds involved in the establishment of Kollam by Sthanu Ravi Varma. 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 contemporary states of Tamil Nadu, Karnataka, and Kerala), the majority of which is now in Kerala. In Malayalam-sp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yuga
A ''yuga'', in Hinduism, is generally used to indicate an age of time. In the ''Rigveda'', a ''yuga'' refers to generations, a period of time (whether long or short), or a yoke (joining of two things). In the ''Mahabharata'', the words ''yuga'' and ''kalpa'' (a day of Brahma) are used interchangeably to describe the cycle of creation and destruction. In post-Vedic texts, the words "''yuga''" and "age" commonly denote a (pronounced ''chatur yuga''), a cycle of four world ages—for example, in the ''Surya Siddhanta'' and ''Bhagavad Gita'' (part of the ''Mahabharata'')—unless expressly limited by the name of one of its minor ages: '' Krita (Satya) Yuga'', ''Treta Yuga'', ''Dvapara Yuga'', or '' Kali Yuga''. The term "''yuga''" can represent the number 4. In early Indian astronomy, it referred to a five-year cycle starting with the conjunction of the sun and moon in the autumnal equinox. Etymology ''Yuga'' () means "a yoke" (joining of two things), "generations", or "a peri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kalpa (aeon)
A ''kalpa'' is a long period of time (aeon) in Hindu and Buddhist cosmology, generally between the creation and recreation of a world or universe. Etymology ''Kalpa'' () in this context, means "a long period of time (aeon) related to the lifetime of the universe (creation)." It is derived from कॢप् (kḷp) + -अ (-a, nominalizing suffix) (). Hinduism In Hinduism, a ''kalpa'' is a unit of time equal to 4.32 billion years. It corresponds to one day in the life of Brahma, the creator god, and represents the active, creative phase of the cosmic cycle. Each ''kalpa'' is made up of 1,000 '' Yuga Cycles'', vast ages that repeat in a set pattern. A ''kalpa'' is further divided into 14 ''manvantaras''. Each ''manvantara'' lasts for 71 ''Yuga Cycles'', or 306.72 million years. Before the first ''manvantara'' and after each one are transitional periods known as ''sandhyas'', each as long as a ''Satya Yuga''—1.728 million years. At the end of each ''kalpa'', the universe enter ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Intercalary Month
Intercalation or embolism in timekeeping is the insertion of a leap day, week, or month into some calendar years to make the calendar follow the seasons or moon phases. Lunisolar calendars may require intercalations of days or months. Solar calendars The solar or tropical year does not have a whole number of days (it is about 365.24 days), but a calendar year must have a whole number of days. The most common way to reconcile the two is to vary the number of days in the calendar year. In solar calendars, this is done by adding an extra day ("leap day" or "intercalary day") to a common year of 365 days, about once every four years, creating a leap year that has 366 days ( Julian, Gregorian and Indian national calendars). The Decree of Canopus, issued by the pharaoh Ptolemy III Euergetes of Ancient Egypt in 239 BC, decreed a solar leap day system; an Egyptian leap year was not adopted until 25 BC, when the Roman Emperor Augustus instituted a reformed Alexandrian calendar. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hindu Calendar
The Hindu calendar, also called Panchangam, Panchanga (), is one of various lunisolar calendars that are traditionally used in the Indian subcontinent and Southeast Asia, with further regional variations for social and Hindu religious purposes. They adopt a similar underlying concept for timekeeping based on sidereal year for solar cycle, solar cycle and adjustment of lunar cycles in every three years, but differ in their relative emphasis to moon cycle or the sun cycle and the names of months and when they consider the New Year to start. Of the various regional calendars, the most studied and known Hindu calendars are the Shaka era, Shalivahana Shaka (Based on the Shalivahana, King Shalivahana, also the Indian national calendar) found in the Deccan Plateau, Deccan region of Southern India and the Vikram Samvat (Bikrami) found in Nepal and the North and Central regions of India – both of which emphasize the lunar cycle. Their new year starts in spring. In regions such as Tamil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Planet
A planet is a large, Hydrostatic equilibrium, rounded Astronomical object, astronomical body that is generally required to be in orbit around a star, stellar remnant, or brown dwarf, and is not one itself. The Solar System has eight planets by the most restrictive definition of the term: the terrestrial planets Mercury (planet), Mercury, Venus, Earth, and Mars, and the giant planets Jupiter, Saturn, Uranus, and Neptune. The best available theory of planet formation is the nebular hypothesis, which posits that an interstellar cloud collapses out of a nebula to create a young protostar orbited by a protoplanetary disk. Planets grow in this disk by the gradual accumulation of material driven by gravity, a process called accretion (astrophysics), accretion. The word ''planet'' comes from the Greek () . In Classical antiquity, antiquity, this word referred to the Sun, Moon, and five points of light visible to the naked eye that moved across the background of the stars—namely, Me ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rotation
Rotation or rotational/rotary motion is the circular movement of an object around a central line, known as an ''axis of rotation''. A plane figure can rotate in either a clockwise or counterclockwise sense around a perpendicular axis intersecting anywhere inside or outside the figure at a ''center of rotation''. A solid figure has an infinite number of possible axes and angles of rotation, including chaotic rotation (between arbitrary orientation (geometry), orientations), in contrast to rotation around a fixed axis, rotation around a axis. The special case of a rotation with an internal axis passing through the body's own center of mass is known as a spin (or ''autorotation''). In that case, the surface intersection of the internal ''spin axis'' can be called a ''pole''; for example, Earth's rotation defines the geographical poles. A rotation around an axis completely external to the moving body is called a revolution (or ''orbit''), e.g. Earth's orbit around the Sun. The en ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
