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Dudeney
Dudeney is a surname. Notable people with the surname include: * Alice Dudeney (1866–1945), English writer, wife of Henry *Henry Dudeney (1857–1930), English writer and mathematician **Dudeney number In number theory, a Dudeney number in a given number base b is a natural number equal to the perfect cube of another natural number such that the digit sum of the first natural number is equal to the second. The name derives from Henry Dudeney, who ... * Leonard Dudeney (1875–1956), English newspaper editor and journalist {{surname ...
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Henry Dudeney
Henry Ernest Dudeney (10 April 1857 – 23 April 1930) was an English author and mathematician who specialised in logic puzzles and mathematical games. He is known as one of the country's foremost creators of mathematical puzzles. Early life Dudeney was born in the village of Mayfield, East Sussex, England, one of six children of Gilbert and Lucy Dudeney. His grandfather, John Dudeney, was well known as a self-taught mathematician and shepherd; his initiative was much admired by his grandson. Dudeney learned to play chess at an early age, and continued to play frequently throughout his life. This led to a marked interest in mathematics and the composition of puzzles. Chess problems in particular fascinated him during his early years. Career Although Dudeney spent his career in the Civil Service, he continued to devise various problems and puzzles. Dudeney's first puzzle contributions were submissions to newspapers and magazines, often under the pseudonym of "Sphinx." Much of ...
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Dudeney Number
In number theory, a Dudeney number in a given number base b is a natural number equal to the perfect cube of another natural number such that the digit sum of the first natural number is equal to the second. The name derives from Henry Dudeney, who noted the existence of these numbers in one of his puzzles, ''Root Extraction'', where a professor in retirement at Colney Hatch postulates this as a general method for root extraction. Mathematical definition Let n be a natural number. We define the Dudeney function for base b > 1 and power p > 0 F_ : \mathbb \rightarrow \mathbb to be the following: :F_(n) = \sum_^ \frac where k = p\left(\lfloor \log_ \rfloor + 1\right) is the p times the number of digits in the number in base b. A natural number n is a Dudeney root if it is a fixed point for F_, which occurs if F_(n) = n. The natural number m = n^p is a generalised Dudeney number, and for p = 3, the numbers are known as Dudeney numbers. 0 and 1 are trivial Dudeney numbers for all ...
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Alice Dudeney
Alice Louisa Dudeney (née Whiffin; 21 October 1866 – 21 November 1945) was an English author and short story writer. The wife of Henry Dudeney, a fellow author and inventor of mathematical puzzles and games, she used the style Mrs. Henry Dudeney for much of her literary career. She herself became a popular writer in her lifetime, who was often compared to Thomas Hardy for her portrayals of Sussex regional life.Barrow, Elizabeth N., ed. ''The Fortune of War: Being Portions of Many Letters and Journals Written to and for her Cousin Mistress Dorothea Engel of Carthmoor Hall, Northumberland, England''. New York: Henry Holt and Company, 1900.Cardinal, Agnès, Dorothy Goldman and Judith Hattaway. ''Women's Writing on the First World War''. Oxford: Oxford University Press, 1999. (pg. 290) She had over fifty volumes of fiction published between 1898 and 1937. Fiction Called "one of the most powerful writers of fiction among modern English women" by ''Putnam's Magazine'',"The Lounger. ...
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