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D R Kaprekar
Dattatreya Ramchandra Kaprekar (; 17 January 19051986) was an Indian recreational mathematician who described several Template:Classes of natural numbers, classes of natural numbers including the Kaprekar number, Kaprekar, harshad number, harshad and self number, self numbers and discovered 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. Education and work Kaprekar received his secondary school education in Thane and studied at Pune University, Fergusson College in Pune. In 1927, he won the Wrangler R. P. Paranjpye 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, ... [...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 approved Rewas#Wadhawan New Port Project, Vadhawan Deep Water Port. Dahanu Thermal Power Station Dahanu Thermal Power Station (DTPS) is Adani electricity's power generating facility. It is a 500 MW (2 X 250 MW) coal-based thermal power station. The power plant was commissioned in 1995. DTPS is the first power utility to get both ISO 9000 and ISO 14001 certificate in India. Electrostatic precipitators (ESP) are installed to collect fly ash and minimize emissions to the atmosphere. DTPS has installed a 275.34 m Flue gas stacks, stack to ensure better dispersion of Atmospheric particulate matter, particulate matter. The stack has a diameter of 31.5 m at the bottom and a diameter of 16 m at the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Recurring Decimal
A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros (that is if there is only a finite number of nonzero digits), the decimal is said to be ''terminating'', and is not considered as repeating. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating. For example, the decimal representation of becomes periodic just after the decimal point, repeating the single digit "3" forever, i.e. 0.333.... A more complicated example is , whose decimal becomes periodic at the ''second'' digit following the decimal point and then repeats the sequence "144" forever, i.e. 5.8144144144.... Another example of this is , which becomes periodic after the decimal point, repeating the 13-digit pattern "1886792452830" forever, i.e. 11.18867924528301886792452830.... T ... [...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 October 2024, the largest known prime number , the largest probable prime ''R''8177207 and the largest elliptic curve primality-proven prime ''R''86453 are all repunits in various bases. 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^ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dombivli Railway Station
Dombivli Railway Station, which serves the City of Dombivli, is the all time busiest railway station on the Central Railway zone, Central line of the Mumbai Suburban Railway network. References {{Mumbai – Suburban Railway, Central Railway stations in Thane district Mumbai Suburban Railway stations Mumbai CR railway division Railway stations in India opened in 1887 Transport in Kalyan-Dombivli ... [...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 the Bulgarian Saint Ivan of Rila. 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 , while in Belarusian and Ukrainian it is . 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 b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sanskrit
Sanskrit (; stem form ; nominal singular , ,) is a classical language belonging to the Indo-Aryan languages, Indo-Aryan branch of the Indo-European languages. It arose in northwest South Asia after its predecessor languages had Trans-cultural diffusion, diffused there from the northwest in the late Bronze Age#South Asia, 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 lingua franca, 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 effect on the languages of South Asia, Southeast Asia and East Asia, especially in their formal and learned vocabularies. Sanskrit generally connotes several Indo-Aryan languages# ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kaprekar's Routine
In number theory, Kaprekar's routine is an iterative algorithm named after its inventor, Indian mathematician D. R. Kaprekar. Each iteration starts with a four-digit random number, sorts the digits into descending and ascending order, and calculates the difference between the two new numbers. As an example, starting with the number 8991 in base 10: : : : : 6174, known as Kaprekar's constant, is a fixed point of this algorithm. Any four-digit number (in base 10) with at least two distinct digits will reach 6174 within seven iterations. The algorithm runs on any natural number in any given number base. Definition and properties The algorithm is as follows: # Choose any four digit 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 number \beta by sorting the digits of n in ascending order. These numbers may have leading zeros, which can be ignored. Subtract ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
495 (number)
495 (four hundred ndninety-five) is the natural number following 494 and preceding 496. Mathematics 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. The number 6174 has the same property for the four-digit numbers, albeit has a much greater percentage of workable numbers. Hanover 2017, p. 14, Operations. See also *Collatz conjecture The Collatz conjecture is one of the most famous List of unsolved problems in mathematics, unsolved problems in mathematics. The conjecture asks whether repeating two simple arit ... [...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 Noether (23 March 1882 – 14 April 1935) was a German mathematician who made many important contributions to abstract algebra. She also proved Noether's theorem, Noether's first and Noether's second theorem, second theorems, which .... Some ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marilyn Burns (mathematics Educator)
Marilyn Meinhardt Burns (born April 11, 1941) is a mathematics educator and the author of over a dozen children's books on mathematics. Career and recognition Burns is a 1958 graduate of the Wellington C. Mepham High School in The Bellmores, New York. After receiving a B.A. from Syracuse University in Syracuse, New York, and teaching in elementary and middle schools in Syracuse, Burns founded Math Solutions, an educational resource provider, in 1984. Burns pursued graduate studies at Syracuse University, San Francisco State University, and the University of California at Berkeley. In 1975, the National Science Teachers Association and the Children's Book Council cited Burns's book ''The I Hate Mathematics! Book'' in "outstanding science books for children". In 1991, the Bank Street College of Education in New York awarded Burns an honorary doctoral degree. In 1995 the Mepham High School Alumni Association listed Burns in their Hall of Fame. In 1996, the National Council of S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scientific American
''Scientific American'', informally abbreviated ''SciAm'' or sometimes ''SA'', is an American popular science magazine. Many scientists, including Albert Einstein and Nikola Tesla, have contributed articles to it, with more than 150 Nobel Prize-winners being featured since its inception. In print since 1845, it is the oldest continuously published magazine in the United States. ''Scientific American'' is owned by Springer Nature, which is a subsidiary of Holtzbrinck Publishing Group. History ''Scientific American'' was founded by inventor and publisher Rufus Porter (painter), Rufus Porter in 1845 as a four-page weekly newspaper. The first issue of the large-format New York City newspaper was released on August 28, 1845. Throughout its early years, much emphasis was placed on reports of what was going on at the United States Patent and Trademark Office, U.S. Patent Office. It also reported on a broad range of inventions including perpetual motion machines, an 1860 devi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
