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Dattaraya Ramchandra Kaprekar
Dattatreya Ramchandra Kaprekar ( mr, दत्तात्रेय रामचंद्र कापरेकर; 17 January 1905 – 1986) was an Indian recreational mathematician who described several classes of natural numbers including the Kaprekar, harshad and self numbers and discovered the Kaprekar's constant, named after him. Despite having no formal postgraduate training and working as a schoolteacher, he published extensively and became well known in recreational mathematics circles. Biography Kaprekar received his secondary school education in Thane and studied at Cotton College in Guwahati. In 1927, he won the Wrangler R. P. Paranjpe Mathematical Prize for an original piece of work in mathematics. He attended the University of Mumbai, receiving his bachelor's degree in 1929. Having never received any formal postgraduate training, for his entire career (1930–1962) he was a schoolteacher at the government junior school in Devlali Maharashtra, India. Cyc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dahanu
Dahanu (Pronunciation: Help:IPA/Marathi, [ɖəɦaːɳuː]) is a coastal town and a municipal council in Palghar district of Maharashtra, Maharashtra state in Konkan division. It is located 110 km from Mumbai city and hosts Adani Power’s thermal power station. It is the site of the currently stalled Rewas#Wadhawan New Port Project, Wadhawan port project at Rewas. Location Dahanu is located 65 km north of Virar on the Western Railway Zone (India), Western Railway line of Mumbai Suburban Railway. It can be reached from National Highway NH-8, 24 km off from Charoti Naka. It is 22 km North of Boisar on the Western Railway Zone (India), Western Railway line. Nearby Sai temple is located in Narpad. Also famous for Mahalaxmi Temple located just 4 km from Charoti. The Town The name "Dahanu Gaon" originates from the word "Dhenu Gram" meaning the village of cattle, cows. A lot of cattle, particularly cows were owned by the people in Dahanu. Today, Dahanu has b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Magic Squares
In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same. The 'order' of the magic square is the number of integers along one side (''n''), and the constant sum is called the 'magic constant'. If the array includes just the positive integers 1,2,...,n^2, the magic square is said to be 'normal'. Some authors take magic square to mean normal magic square. Magic squares that include repeated entries do not fall under this definition and are referred to as 'trivial'. Some well-known examples, including the Sagrada Família magic square and the Parker square are trivial in this sense. When all the rows and columns but not both diagonals sum to the magic constant this gives a ''semimagic square (sometimes called orthomagic square). The mathematical study of magic squares typically deals with their construction, classification, and enumeration. Alt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numberphile
''Numberphile'' is an educational YouTube channel featuring videos that explore topics from a variety of fields of mathematics. In the early days of the channel, each video focused on a specific number, but the channel has since expanded its scope, featuring videos on more advanced mathematical concepts such as Fermat's Last Theorem, the Riemann hypothesis and Kruskal's tree theorem. The videos are produced by Brady Haran, a former BBC video journalist and creator of Periodic Videos, Sixty Symbols, and several other YouTube channels. Videos on the channel feature several university professors, maths communicators and famous mathematicians. In 2018, Haran released a spin-off audio podcast titled ''The Numberphile Podcast''. YouTube channel The ''Numberphile'' YouTube channel was started on 15 September 2011. Most videos consist of Haran interviewing an expert on a number, mathematical theorem or other mathematical concept. The expert usually draws out their explanation on a la ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prahalad Chunnilal Vaidya
Prahalad Chunnilal Vaidya (P.C.Vaidya; 23 May 1918 – 12 March 2010), was an Indian physicist and mathematician, renowned for his instrumental work in the general theory of relativity. Apart from his scientific career, he was also an educationist and a follower of Gandhian philosophy in post-independence India, specifically in his domicile state Gujarat. Biography Early life P. C. Vaidya was born in Shahpur of Junagadh district, Gujarat, India on 23 May 1918. He completed most of his schooling in Bhavnagar, and went to Mumbai (formerly known as Bombay) for higher studies. There, after finishing high school at Ismail Yusuf College, he joined the Institute of Science (then known as ''Royal Institute of Science'') in Mumbai. He received a BSc degree, majoring in Mathematics and Physics. He completed a MSc degree with Applied Mathematics major. Vaidya's first stint at teaching was at the Dharmendra Singhji College in Rajkot, where he joined as a lecturer in 1940, soon afte ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Repunit
In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for repeated unit and was coined in 1966 by Albert H. Beiler in his book ''Recreations in the Theory of Numbers''. A repunit prime is a repunit that is also a prime number. Primes that are repunits in base-2 are Mersenne primes. As of March 2022, the largest known prime number , the largest probable prime ''R''8177207 and the largest elliptic curve primality prime ''R''49081 are all repunits. Definition The base-''b'' repunits are defined as (this ''b'' can be either positive or negative) :R_n^\equiv 1 + b + b^2 + \cdots + b^ = \qquad\mbox, b, \ge2, n\ge1. Thus, the number ''R''''n''(''b'') consists of ''n'' copies of the digit 1 in base-''b'' representation. The first two repunits base-''b'' for ''n'' = 1 and ''n'' = 2 are :R_1^ 1 \qquad \text \qquad R_2^ b+1\qquad\text\ , b, \ge2. In ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ivan M
Ivan () is a Slavic male given name, connected with the variant of the Greek name (English: John) from Hebrew meaning 'God is gracious'. It is associated worldwide with Slavic countries. The earliest person known to bear the name was Bulgarian tsar Ivan Vladislav. It is very popular in Russia, Ukraine, Croatia, Serbia, Bosnia and Herzegovina, Slovenia, Bulgaria, Belarus, North Macedonia, and Montenegro and has also become more popular in Romance-speaking countries since the 20th century. Etymology Ivan is the common Slavic Latin spelling, while Cyrillic spelling is two-fold: in Bulgarian, Russian, Macedonian, Serbian and Montenegrin it is Иван, while in Belarusian and Ukrainian it is Іван. The Old Church Slavonic (or Old Cyrillic) spelling is . It is the Slavic relative of the Latin name , corresponding to English ''John''. This Slavic version of the name originates from New Testament Greek (''Iōánnēs'') rather than from the Latin . The Greek name is in tur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Causative
In linguistics, a causative (abbreviated ) is a valency-increasing operationPayne, Thomas E. (1997). Describing morphosyntax: A guide for field linguists'' Cambridge: Cambridge University Press. p. 173–186. that indicates that a subject either causes someone or something else to do or be something or causes a change in state of a non-volitional event. Normally, it brings in a new argument (the causer), A, into a transitive clause, with the original subject S becoming the object O. All languages have ways to express causation but differ in the means. Most, if not all, languages have specific or ''lexical'' causative forms (such as English ''rise'' → ''raise'', ''lie'' → ''lay'', ''sit'' → ''set''). Some languages also have morphological devices (such as inflection) that change verbs into their causative forms or change adjectives into verbs of ''becoming''. Other languages employ periphrasis, with control verbs, idiomatic expressions or auxiliary verbs. There tends to be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plus Magazine
''Plus Magazine'' is an online popular mathematics magazine run under the Millennium Mathematics Project at the University of Cambridge. ''Plus'' contains: * feature articles on all aspects of mathematics; * reviews of popular maths books and events; * a news section; * mathematical puzzles and games; * interviews with people in maths related careers; * ''Plus'' Podcast – Maths on the Move History ''Plus'' was initially named PASS Maths (Public Awareness and Schools Support for Maths) in 1997, when it was a project of the Interactive Courseware Research and Development Group, based jointly at the University of Cambridge and Keele University. ''Plus'' is now part of the Millennium Mathematics Project, a long term national initiative based in Cambridge and active across the UK and internationally. Authors of articles in ''Plus'' include Stephen Hawking and Marcus du Sautoy. ''Plus'' won the 2001 Webby for ''Best Science Site on the Web'', and has been described as "an e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kaprekar's Routine
In number theory, Kaprekar's routine is an iterative algorithm that, with each iteration, takes a natural number in a given number base, creates two new numbers by sorting the digits of its number by descending and ascending order, and subtracts the second from the first to yield the natural number for the next iteration. It is named after its inventor, the Indian mathematician D. R. Kaprekar. Kaprekar showed that in the case of four-digit numbers in base 10, if the initial number has at least two distinct digits, after seven iterations this process always yields the number 6174, which is now known as Kaprekar's constant. Definition and properties The algorithm is as follows: # Choose any natural number n in a given number base b. This is the first number of the sequence. # Create a new number \alpha by sorting the digits of n in descending order, and another new number \beta by sorting the digits of n in ascending order. These numbers may have leading zeros, which are discarded ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
495 (number)
495 (four hundred ndninety-five) is the natural number following 494 and preceding 496. It is a pentatope number (and so a binomial coefficient \tbinom 4 ). The maximal number of pieces that can be obtained by cutting an annulus with 30 cuts. Kaprekar transformation The Kaprekar's routine algorithm is defined as follows for three-digit numbers: # Take any three-digit number, other than repdigits such as 111. Leading zeros are allowed. # Arrange the digits in descending and then in ascending order to get two three-digit numbers, adding leading zeros if necessary. # Subtract the smaller number from the bigger number. # Go back to step 2 and repeat. Repeating this process will always reach 495 in a few steps. Once 495 is reached, the process stops because 954 – 459 = 495. Example For example, choose 495: :495 The only three-digit numbers for which this function does not work are repdigits such as 111, which give the answer 0 after a single iteration. All other three- ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scripta Mathematica
''Scripta Mathematica'' was a quarterly journal published by Yeshiva University devoted to the philosophy, history, and expository treatment of mathematics. It was said to be, at its time, "the only mathematical magazine in the world edited by specialists for laymen.". The journal was established in 1932 under the editorship of Jekuthiel Ginsburg, a professor of mathematics at Yeshiva University, and its first issue appeared in 1933 at a subscription price of three dollars per year. It ceased publication in 1973. Notable papers published in ''Scripta Mathematica'' included work by Nobelist Percy Williams Bridgman concerning the implications for physics of set-theoretic paradoxes, and Hermann Weyl's obituary of Emmy Noether Amalie Emmy NoetherEmmy is the ''Rufname'', the second of two official given names, intended for daily use. Cf. for example the résumé submitted by Noether to Erlangen University in 1907 (Erlangen University archive, ''Promotionsakt Emmy Noethe .... Some s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
