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Vasanti N. Bhat-Nayak
Vasanti N. Bhat-Nayak (10 June 1938 – 12 February 2009) was a mathematician whose research concerned balanced incomplete block designs, bivariegated graphs, graceful graphs, graph equations and frequency partitions. She earned a Ph.D. from the University of Mumbai in 1970 with the dissertation ''Some New Results in PBIBD Designs and Combinatorics''. S. S. Shrikhande was her advisor. After completing her doctorate, she remained on the faculty at the university, and eventually served as department head. She had 44 publications in the field of Combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many .... References Indian combinatorialists University of Mumbai alumni Academic staff of the University of Mumbai Scientists from Mumbai Konkani people 20th-centu ...
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Chembur
Chembur (pronunciation: Help:IPA/Marathi, [t͡ʃembuːɾ]) is an upmarket large suburb in central Mumbai, India. It belongs on the harbour line of suburban railways and offers the best connectivity with Mumbai Monorail, Santacruz- Chembur Link Road, Airport, Jeejamata Bhosle Marg (from Chembur-Mankhurd), Eastern Freeway (Mumbai), Eastern Freeway, Eastern Express Highway, BKC connector, and Mumbai Satara highway (Sion-Panvel). History Before reclamation, Chembur lay on the north-western corner of Trombay Island. It is suggested that Chembur is the same place referred to as Saimur by the Arab writers(915–1137), Sibor in Cosmas Indicopleustes(535), Chemula in the Kanheri Caves, Kanheri cave inscriptions(300–500), Symulla by the author of the Periplus of the Erythraean Sea(247), Symulla or Timulla by Ptolemy(150), and perhaps even Perimula by Pliny the Elder, Pliny (A.D. 77).
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Indian Combinatorialists
Indian or Indians may refer to: Associated with India * of or related to India ** Indian people ** Indian diaspora ** Languages of India ** Indian English, a dialect of the English language ** Indian cuisine Associated with indigenous peoples of the Americas * Indigenous peoples of the Americas ** First Nations in Canada ** Native Americans in the United States ** Indigenous peoples of the Caribbean ** Indigenous languages of the Americas Places * Indian, West Virginia, U.S. * The Indians, an archipelago of islets in the British Virgin Islands Arts and entertainment Film * ''Indian'' (film series), a Tamil-language film series ** ''Indian'' (1996 film) * ''Indian'' (2001 film), a Hindi-language film Music * Indians (musician), Danish singer Søren Løkke Juul * "The Indian", an unreleased song by Basshunter * "Indian" (song), by Sturm und Drang, 2007 * "Indians" (song), by Anthrax, 1987 * Indians, a song by Gojira from the 2003 album '' The Link'' Other uses i ...
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Konkani People
The Konkani people are an Indo-Aryan peoples, Indo-Aryan ethnolinguistic group native to the Konkan region of the Indian subcontinent. They speak various dialects of the Konkani language. Following the Konkani language agitation, Konkani became the premier official language of Goa state, while Mahratti, Marathi remains as the associate official language of Goa. Konkani is also spoken by populations in Karnataka, Maharashtra, Damaon, Kerala, & Gujarat. A large percentage of Konkani people are bilingual. Etymology The word ''Konkan, Koṅkaṇa'' (कोंकण) and, in turn ''Koṅkaṇi'', is derived from ' (कुङ्कण) or (कुङ्कणु). Different authorities elaborate etymology of this word differently. They include: *''Koṇa'' (कोण) meaning top of the mountain. *The name of aboriginal mother goddess, which is sometimes Sanskritisation, Sanskritised to mean goddess Renuka. *Some scholars believe that (कोङ्कण) comes from (कोण) "co ...
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Scientists From Mumbai
A scientist is a person who researches to advance knowledge in an area of the natural sciences. In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosophical study of nature called natural philosophy, a precursor of natural science. Though Thales ( 624–545 BC) was arguably the first scientist for describing how cosmic events may be seen as natural, not necessarily caused by gods,Frank N. Magill''The Ancient World: Dictionary of World Biography'', Volume 1 Routledge, 2003 it was not until the 19th century that the term ''scientist'' came into regular use after it was coined by the theologian, philosopher, and historian of science William Whewell in 1833. History The roles of "scientists", and their predecessors before the emergence of modern scientific disciplines, have evolved considerably over time. Scientists of different eras (and before them, natural philosophers, mathematicians, natur ...
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Academic Staff Of The University Of Mumbai
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of tertiary education. The name traces back to Plato's school of philosophy, founded approximately 386 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and Skills, skill, north of Ancient Athens, Athens, Greece. The Royal Spanish Academy defines academy as scientific, literary or artistic society established with public authority and as a teaching establishment, public or private, of a professional, artistic, technical or simply practical nature. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, ''Akademos''. Outside the city walls of Athens, the Gymnasium (ancient Greece), gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive Grove (nature), grove, hence the expression "the groves of Academe". In these gardens, the philos ...
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University Of Mumbai Alumni
A university () is an institution of tertiary education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase , which roughly means "community of teachers and scholars". Universities typically offer both undergraduate and postgraduate programs. The first universities in Europe were established by Catholic monks. The University of Bologna (), Italy, which was founded in 1088, is the first university in the sense of: *being a high degree-awarding institute. *using the word (which was coined at its foundation). *having independence from the ecclesiastic schools and issuing secular as well as non-secular degrees (with teaching conducted by both clergy and non-clergy): grammar, rhetoric, logic, theology, canon law and notarial law.Hunt Janin: "The university in medieval life, 1179–1499", McFarland, 2008, , p. 55f.de Ridder-Symoens, Hilde''A History of the University in Europe: Volume 1, Universities in the Midd ...
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Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science. Combinatorics is well known for the breadth of the problems it tackles. Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, as well as in its many application areas. Many combinatorial questions have historically been considered in isolation, giving an ''ad hoc'' solution to a problem arising in some mathematical context. In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics ...
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Mumbai
Mumbai ( ; ), also known as Bombay ( ; its official name until 1995), is the capital city of the Indian state of Maharashtra. Mumbai is the financial capital and the most populous city proper of India with an estimated population of 12.5 million (1.25  crore). Mumbai is the centre of the Mumbai Metropolitan Region, the seventh-most populous metropolitan area in the world with a population of over 23 million (2.3 crore). Mumbai lies on the Konkan coast on the west coast of India and has a deep natural harbour. In 2008, Mumbai was named an alpha world city. Mumbai has the highest number of billionaires out of any city in Asia. The seven islands that constitute Mumbai were earlier home to communities of Marathi language-speaking Koli people. For centuries, the seven islands of Bombay were under the control of successive indigenous rulers before being ceded to the Portuguese Empire, and subsequently to the East India Company in 1661, as part of ...
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Frequency Partition
In graph theory, a discipline within mathematics, the frequency partition of a graph (simple graph) is a partition of its vertices grouped by their degree. For example, the degree sequence of the left-hand graph below is (3, 3, 3, 2, 2, 1) and its frequency partition is 6 = 3 + 2 + 1. This indicates that it has 3 vertices with some degree, 2 vertices with some other degree, and 1 vertex with a third degree. The degree sequence of the bipartite graph in the middle below is (3, 2, 2, 2, 2, 2, 1, 1, 1) and its frequency partition is 9 = 5 + 3 + 1. The degree sequence of the right-hand graph below is (3, 3, 3, 3, 3, 3, 2) and its frequency partition is 7 = 6 + 1. Image:6n-graf.svg, A graph with frequency partition 6 = 3 + 2 + 1. Image:Simple-bipartite-graph.svg, A bipartite graph with frequency partition 9 = 5 + 3 + 1. Image:Nonplanar no subgraph K 3 3.svg, A graph with frequency partition 7 = 6 + 1. In general, there are many non-isomorphic graphs with a given frequency partition. ...
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