Lalla Hvalstad By Kris Torne-crop
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Lalla Hvalstad By Kris Torne-crop
Lalla ( 720–790 CE) was an Indian Indian mathematics, mathematician, astronomer, and astrologer who belonged to a family of astronomers. Lalla was the son of Trivikrama Bhatta and the grandson of Śâmba."Lalla." Complete Dictionary of Scientific Biography. He lived in central India, possibly in the Lāṭa region in modern south Gujarat. Lalla was known as being one of the leading Indian astronomers of the eighth century. Only two of his works are currently thought to be extant.Bracher, Katherine His best-known work is the ''Śiṣyadhīvṛddhidatantra'' ("Treatise which expands the intellect of students"). This text is one of the first major Sanskrit astronomical texts known from the period following the 7th-century works of Brahmagupta and Bhāskara I. It generally treats the same astronomical subject matter and demonstrates the same computational techniques as earlier authors, although there are some significant innovations, such that Lalla’s treatise offers a compromise ...
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Gujarat
Gujarat (, ) is a state along the western coast of India. Its coastline of about is the longest in the country, most of which lies on the Kathiawar peninsula. Gujarat is the fifth-largest Indian state by area, covering some ; and the ninth-most populous state, with a population of 60.4 million. It is bordered by Rajasthan to the northeast, Dadra and Nagar Haveli and Daman and Diu to the south, Maharashtra to the southeast, Madhya Pradesh to the east, and the Arabian Sea and the Pakistani province of Sindh to the west. Gujarat's capital city is Gandhinagar, while its largest city is Ahmedabad. The Gujaratis are indigenous to the state and their language, Gujarati, is the state's official language. The state encompasses 23 sites of the ancient Indus Valley civilisation (more than any other state). The most important sites are Lothal (the world's first dry dock), Dholavira (the fifth largest site), and Gola Dhoro (where 5 uncommon seals were found). Lothal i ...
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Śrīpati
Śrīpati (1019–1066) was an Indian astronomer,astrologer and mathematician, the author of '' Dhikotidakarana'' (written in 1039), a work of twenty verses on solar and lunar eclipses; '' Dhruvamanasa'' (written in 1056), a work of 105 verses on calculating planetary longitudes, eclipses and planetary transits; '' Siddhantasekhara'' a major work on astronomy in 19 chapters; and '' Ganitatilaka'', an incomplete arithmetical treatise in 125 verses based on a work by Shridhara. Early life Śrīpati's father was Nagadeva (sometimes written as Namadeva) and Nagadeva's father, Sripati's paternal grandfather, was Kesava. Śrīpati was a follower of the teaching of Lalla writing on astrology, astronomy and mathematics. His mathematical work was undertaken with applications to astronomy in mind, for example a study of spheres. His work on astronomy was undertaken to provide a basis for his astrology. Śrīpati was the most prominent Indian mathematicians of the 11th century. Wo ...
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720 Births
7 (seven) is the natural number following 6 and preceding 8. It is the only prime number preceding a cube. As an early prime number in the series of positive integers, the number seven has greatly symbolic associations in religion, mythology, superstition and philosophy. The seven Classical planets resulted in seven being the number of days in a week. It is often considered lucky in Western culture and is often seen as highly symbolic. Unlike Western culture, in Vietnamese culture, the number seven is sometimes considered unlucky. It is the first natural number whose pronunciation contains more than one syllable. Evolution of the Arabic digit In the beginning, Indians wrote 7 more or less in one stroke as a curve that looks like an uppercase vertically inverted. The western Ghubar Arabs' main contribution was to make the longer line diagonal rather than straight, though they showed some tendencies to making the digit more rectilinear. The eastern Arabs developed the digit fr ...
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8th-century Indian Mathematicians
The 8th century is the period from 701 ( DCCI) through 800 ( DCCC) in accordance with the Julian Calendar. The coast of North Africa and the Iberian Peninsula quickly came under Islamic Arab domination. The westward expansion of the Umayyad Empire was famously halted at the siege of Constantinople by the Byzantine Empire and the Battle of Tours by the Franks. The tide of Arab conquest came to an end in the middle of the 8th century.Roberts, J., ''History of the World'', Penguin, 1994. In Europe, late in the century, the Vikings, seafaring peoples from Scandinavia, begin raiding the coasts of Europe and the Mediterranean, and go on to found several important kingdoms. In Asia, the Pala Empire is founded in Bengal. The Tang dynasty reaches its pinnacle under Chinese Emperor Xuanzong. The Nara period begins in Japan. Events * Estimated century in which the poem Beowulf is composed. * Classical Maya civilization begins to decline. * The Kombumerri burial grounds are founded. * ...
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8th-century Indian Astronomers
The 8th century is the period from 701 ( DCCI) through 800 ( DCCC) in accordance with the Julian Calendar. The coast of North Africa and the Iberian Peninsula quickly came under Islamic Arab domination. The westward expansion of the Umayyad Empire was famously halted at the siege of Constantinople by the Byzantine Empire and the Battle of Tours by the Franks. The tide of Arab conquest came to an end in the middle of the 8th century.Roberts, J., ''History of the World'', Penguin, 1994. In Europe, late in the century, the Vikings, seafaring peoples from Scandinavia, begin raiding the coasts of Europe and the Mediterranean, and go on to found several important kingdoms. In Asia, the Pala Empire is founded in Bengal. The Tang dynasty reaches its pinnacle under Chinese Emperor Xuanzong. The Nara period begins in Japan. Events * Estimated century in which the poem Beowulf is composed. * Classical Maya civilization begins to decline. * The Kombumerri burial grounds are founded. * ...
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Helaine Selin
Helaine Selin (born 1946) is an American librarian, historian of science, author and the editor of several bestselling books. Career Selin attended Binghamton University, where she earned her bachelor's degree. She received her MLS from SUNY Albany. She was a Peace Corps volunteer from the fall of 1967 through the summer of 1969 as an English teacher in Malawi. She retired in 2012 from being the science librarian at Hampshire College. Selin is well known for being the editor of ''Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures'' (1997) which is one of the first books which allows readers to "compare a variety of traditional systems of mathematics and cosmologies." ''Mathematics Across Cultures: The History of Non-Western Mathematics'' (2000), is considered by ''Mathematical Intelligencer'' as a companion to the ''Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures''. The journal, ''Mathematics and Com ...
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Āryabhaṭa
Aryabhata ( ISO: ) or Aryabhata I (476–550 CE) was an Indian mathematician and astronomer of the classical age of Indian mathematics and Indian astronomy. He flourished in the Gupta Era and produced works such as the ''Aryabhatiya'' (which mentions that in 3600 ''Kali Yuga'', 499 CE, he was 23 years old) and the ''Arya-siddhanta.'' Aryabhata created a system of phonemic number notation in which numbers were represented by consonant-vowel monosyllables. Later commentators such as Brahmagupta divide his work into ''Ganita ("Mathematics"), Kalakriya ("Calculations on Time") and Golapada ("Spherical Astronomy")''. His pure mathematics discusses topics such as determination of square and cube roots, geometrical figures with their properties and mensuration, arithmetric progression problems on the shadow of the gnomon, quadratic equations, linear and indeterminate equations. Aryabhata calculated the value of pi (''π)'' to the fourth decimal digit and was likely aware ...
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Bhāskara II
Bhāskara II (c. 1114–1185), also known as Bhāskarāchārya ("Bhāskara, the teacher"), and as Bhāskara II to avoid confusion with Bhāskara I, was an Indian mathematician and astronomer. From verses, in his main work, Siddhānta Shiromani (सिद्धांतशिरोमणी), it can be inferred that he was born in 1114 in Vijjadavida (Vijjalavida) and living in the Sahyadri mountain ranges of Western Ghats, believed to be the town of Patan in Chalisgaon, located in present-day Khandesh region of Maharashtra by scholars. He is the only ancient mathematician who has been immortalized on a monument. In a temple in Maharashtra, an inscription supposedly created by his grandson Changadeva, lists Bhaskaracharya's ancestral lineage for several generations before him as well as two generations after him. Colebrooke who was the first European to translate (1817) Bhaskaracharya II's mathematical classics refers to the family as Maharashtrian Brahmins residing on the ban ...
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Vaṭeśvara
Vaṭeśvara ( sa, वटेश्वर ) (born 880), was a tenth-century Indian mathematician from Kashmir who presented several trigonometric identities. He was the author (at the age of 24) of '' Vaṭeśvara-siddhānta'' written in 904 AD, a treatise focusing on astronomy and applied mathematics.The work criticized Brahmagupta and defended Aryabhatta I. An edition of the first three chapters was published in 1962 by R. S. Sharma and Mukund Mishra. Al Biruni referred to the works by Vateswara, particularly the Karaṇasāra, noting that the author was the son of Mihdatta who belonged to Nagarapura (also given as Anandapura which is now Vadnagar). The Karaṇasāra uses 821 Saka era (899 AD) as a reference year. References Other sources * K. V. Sarma (1997), "Vatesvara", Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures edited by Helaine Selin Helaine Selin (born 1946) is an American librarian, historian of science, author and the ed ...
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Āryabhaṭa II
Āryabhaṭa (c. 920 – c. 1000) was an Indian mathematician and astronomer, and the author of the ''Maha-Siddhanta Āryabhaṭa (c. 920 – c. 1000) was an Indian mathematician and astronomer An astronomer is a scientist in the field of astronomy who focuses their studies on a specific question or field outside the scope of Earth. They observe astron ...''. The numeral II is given to him to distinguish him from the earlier and more influential Āryabhaṭa I. Scholars are unsure of when exactly he was born, though some give dates of his main publications being between 950–1100. Maha Siddhanta Aryabhata's most eminent work was Maha Siddhanta. The treatise consists of eighteen chapters and was written in the form of verse in Sanskrit. The initial twelve chapters deals with topics related to mathematical astronomy and covers the topics that Indian mathematicians of that period had already worked on. The various topics that have been included in these twe ...
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India
India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the south, the Arabian Sea on the southwest, and the Bay of Bengal on the southeast, it shares land borders with Pakistan to the west; China, Nepal, and Bhutan to the north; and Bangladesh and Myanmar to the east. In the Indian Ocean, India is in the vicinity of Sri Lanka and the Maldives; its Andaman and Nicobar Islands share a maritime border with Thailand, Myanmar, and Indonesia. Modern humans arrived on the Indian subcontinent from Africa no later than 55,000 years ago., "Y-Chromosome and Mt-DNA data support the colonization of South Asia by modern humans originating in Africa. ... Coalescence dates for most non-European populations average to between 73–55 ka.", "Modern human beings—''Homo sapiens''—originated in Africa. Then, int ...
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Perpetual Motion
Perpetual motion is the motion of bodies that continues forever in an unperturbed system. A perpetual motion machine is a hypothetical machine that can do work infinitely without an external energy source. This kind of machine is impossible, as it would violate either the first law of thermodynamics, first or second law of thermodynamics or both. These laws of thermodynamics apply regardless of the size of the system. For example, the motions and rotations of celestial bodies such as planets may appear perpetual, but are actually subject to many processes that slowly dissipate their kinetic energy, such as solar wind, interstellar medium resistance, gravitational radiation and thermal radiation, so they will not keep moving forever. Thus, machines that extract energy from finite sources will not operate indefinitely, because they are driven by the energy stored in the source, which will eventually be exhausted. A common example is devices powered by ocean currents, whose energ ...
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