Sums Of Three Cubes
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Sums Of Three Cubes
In the mathematics of sums of powers, it is an open problem to characterize the numbers that can be expressed as a sum of three cubes of integers, allowing both positive and negative cubes in the sum. A necessary condition for n to equal such a sum is that n cannot equal 4 or 5 modulo 9, because the cubes modulo 9 are 0, 1, and −1, and no three of these numbers can sum to 4 or 5 modulo 9. It is unknown whether this necessary condition is sufficient. Variations of the problem include sums of non-negative cubes and sums of rational cubes. All integers have a representation as a sum of rational cubes, but it is unknown whether the sums of non-negative cubes form a set with non-zero natural density. Small cases A nontrivial representation of 0 as a sum of three cubes would give a counterexample to Fermat's Last Theorem for the exponent three, as one of the three cubes would have the opposite sign as the other two and its negation would equal the sum of the other two. Theref ...
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Sum Of 3 Cubes
Sum most commonly means the total of two or more numbers added together; see addition. Sum can also refer to: Mathematics * Sum (category theory), the generic concept of summation in mathematics * Sum, the result of summation, the addition of a sequence of numbers * 3SUM, a term from computational complexity theory * Band sum, a way of connecting mathematical knots * Connected sum, a way of gluing manifolds * Digit sum, in number theory * Direct sum, a combination of algebraic objects ** Direct sum of groups ** Direct sum of modules ** Direct sum of permutations ** Direct sum of topological groups * Einstein summation, a way of contracting tensor indices * Empty sum, a sum with no terms * Indefinite sum, the inverse of a finite difference * Kronecker sum, an operation considered a kind of addition for matrices * Matrix addition, in linear algebra * Minkowski addition, a sum of two subsets of a vector space * Power sum symmetric polynomial, in commutative algebra * Prefix sum, ...
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Charity Engine
Charity Engine is a free PC app based on Berkeley University's BOINC software, run by The Worldwide Computer Company Limited. The project works by selling spare home computing power to universities and corporations, then sharing the profits between eight partner charities and periodic cash sweepstakes, prize draws for the users; those running the Charity Engine BOINC software on their home computers. When there are no corporations purchasing the computing power, Charity Engine donates it to existing volunteer computing projects such as Rosetta@home, Einstein@Home, and Malaria Control Project, Malaria Control, and prize draws are funded by donations. The company was founded by former journalist Mark McAndrew, who was writing a science fiction novel featuring a similar organisation. He abandoned the book in favour of creating the idea in real life, with the assistance of professor David P. Anderson, David Anderson from University of California, Berkeley, UC Berkeley who created BOIN ...
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Der Tagesspiegel
''Der Tagesspiegel'' (meaning ''The Daily Mirror'') is a German daily newspaper. It has regional correspondent offices in Washington D.C. and Potsdam. It is the only major newspaper in the capital to have increased its circulation, now 148,000, since German reunification, reunification. ''Der Tagesspiegel'' is a Liberalism in Germany, liberal newspaper that is classified as Centrism, centrist media in the context of German politics. History and profile Founded on 27 September 1945 by Erik Reger, Walther Karsch and Edwin Redslob, ''Der Tagesspiegel'' main office is based in Berlin at Askanischer Platz in the locality of Kreuzberg, about from Potsdamer Platz and the former location of the Berlin Wall. For more than 45 years, ''Der Tagesspiegel'' was owned by an independent Financial endowment, trust. In 1993, in response to an increasingly competitive publishing environment, and to attract investments required for technical modernisation, such as commission of a new printing pla ...
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Die Zeit
''Die Zeit'' (, "The Time") is a German national weekly newspaper published in Hamburg in Germany. The newspaper is generally considered to be among the German newspapers of record and is known for its long and extensive articles. History The first edition of ''Die Zeit'' was first published in Hamburg on 21 February 1946. The founding publishers were Gerd Bucerius, Lovis H. Lorenz, Richard Tüngel and Ewald Schmidt di Simoni. Another important founder was Marion Gräfin Dönhoff, who joined as an editor in 1946. She became publisher of ''Die Zeit'' from 1972 until her death in 2002, together from 1983 onwards with former German chancellor Helmut Schmidt, later joined by Josef Joffe and former German federal secretary of culture Michael Naumann. The paper's publishing house, Zeitverlag Gerd Bucerius in Hamburg, is owned by the Georg von Holtzbrinck Publishing Group and Dieter von Holtzbrinck Media. The paper is published weekly on Thursdays. As of 2018, ''Die Zeit'' has ...
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The Register
''The Register'' is a British technology news website co-founded in 1994 by Mike Magee, John Lettice and Ross Alderson. The online newspaper's masthead sublogo is "''Biting the hand that feeds IT''." Their primary focus is information technology news and opinions. Situation Publishing Ltd is listed as the site's publisher. Drew Cullen is an owner and Linus Birtles is the managing director. Andrew Orlowski was the executive editor before leaving the website in May 2019. History ''The Register'' was founded in London as an email newsletter called ''Chip Connection''. In 1998 ''The Register'' became a daily online news source. Magee left in 2001 to start competing publications ''The Inquirer'', and later the ''IT Examiner'' and ''TechEye''.Walsh, Bob (2007). ''Clear Blogging: How People Blogging Are Changing the World and How You Can Join Them.'' Apress, In 2002, ''The Register'' expanded to have a presence in London and San Francisco, creating ''The Register USA'' at ther ...
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Popular Mechanics
''Popular Mechanics'' (sometimes PM or PopMech) is a magazine of popular science and technology, featuring automotive, home, outdoor, electronics, science, do-it-yourself, and technology topics. Military topics, aviation and transportation of all types, space, tools and gadgets are commonly featured. It was founded in 1902 by Henry Haven Windsor, who was the editor and—as owner of the Popular Mechanics Company—the publisher. For decades, the tagline of the monthly magazine was "Written so you can understand it." In 1958, PM was purchased by the Hearst Corporation, now Hearst Communications. In 2013, the US edition changed from twelve to ten issues per year, and in 2014 the tagline was changed to "How your world works." The magazine added a podcast in recent years, including regular features ''Most Useful Podcast Ever'' and ''How Your World Works''. History ''Popular Mechanics'' was founded in Chicago by Henry Haven Windsor, with the first issue dated January 11, 1902. ...
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Scientific American
''Scientific American'', informally abbreviated ''SciAm'' or sometimes ''SA'', is an American popular science magazine. Many famous scientists, including Albert Einstein and Nikola Tesla, have contributed articles to it. In print since 1845, it is the oldest continuously published magazine in the United States. ''Scientific American'' is owned by Springer Nature, which in turn 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 newspaper was released 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 device for buoying vessels by Abraham Lincoln, and the universal joint which now can be found ...
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Phrases From The Hitchhiker's Guide To The Galaxy
''The Hitchhiker's Guide to the Galaxy'' is a comic science fiction series created by Douglas Adams that has become popular among fans of the genre and members of the scientific community. Phrases from it are widely recognised and often used in reference to, but outside the context of, the source material. Many writers on popular science, such as Fred Alan Wolf, Paul Davies, and Michio Kaku, have used quotations in their books to illustrate facts about cosmology or philosophy. The Answer to the Ultimate Question of Life, the Universe, and Everything is 42 In the radio series and the first novel, a group of hyper-intelligent pan-dimensional beings demand to learn the Answer to the Ultimate Question of Life, The Universe, and Everything from the supercomputer Deep Thought, specially built for this purpose. It takes Deep Thought million years to compute and check the answer, which turns out to be 42. Deep Thought points out that the answer seems meaningless because the beings ...
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The Hitchhiker's Guide To The Galaxy
''The Hitchhiker's Guide to the Galaxy'' (sometimes referred to as ''HG2G'', ''HHGTTG'', ''H2G2'', or ''tHGttG'') is a comic science fiction, comedy science fiction franchise created by Douglas Adams. Originally The Hitchhiker's Guide to the Galaxy (radio series), a 1978 radio comedy broadcast on BBC Radio 4, it was later adapted to other formats, including novels, stage shows, comic books, a The Hitchhiker's Guide to the Galaxy (TV series), 1981 TV series, a The Hitchhiker's Guide to the Galaxy (video game), 1984 text-based computer game, and The Hitchhiker's Guide to the Galaxy (film), 2005 feature film. ''The Hitchhiker's Guide to the Galaxy'' has become an international multi-media phenomenon; the novels are the most widely distributed, having been translated into more than 30 languages by 2005. The first novel, ''The Hitchhiker's Guide to the Galaxy (novel), The Hitchhiker's Guide to the Galaxy'' (1979), has been ranked fourth on the BBC’s The Big Read poll. The sixth ...
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Douglas Adams
Douglas Noel Adams (11 March 1952 – 11 May 2001) was an English author and screenwriter, best known for ''The Hitchhiker's Guide to the Galaxy''. Originally a 1978 BBC radio comedy, ''The Hitchhiker's Guide to the Galaxy'' developed into a "trilogy" of five books that sold more than 15 million copies in his lifetime. It was further developed into a television series, several stage plays, comics, a video game, and a 2005 feature film. Adams's contribution to UK radio is commemorated in The Radio Academy's Hall of Fame. Adams also wrote ''Dirk Gently's Holistic Detective Agency'' (1987) and ''The Long Dark Tea-Time of the Soul'' (1988), and co-wrote ''The Meaning of Liff'' (1983), ''The Deeper Meaning of Liff'' (1990), and ''Last Chance to See'' (1990). He wrote two stories for the television series ''Doctor Who'', co-wrote ''City of Death'' (1979), and served as script editor for its seventeenth season. He co-wrote the sketch "Patient Abuse" for the final episode of ' ...
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Newsweek
''Newsweek'' is an American weekly online news magazine co-owned 50 percent each by Dev Pragad, its president and CEO, and Johnathan Davis (businessman), Johnathan Davis, who has no operational role at ''Newsweek''. Founded as a weekly print magazine in 1933, it was widely distributed during the 20th century, and had many notable editors-in-chief. The magazine was acquired by The Washington Post Company in 1961, and remained under its ownership until 2010. Revenue declines prompted The Washington Post Company to sell it, in August 2010, to the audio pioneer Sidney Harman for a purchase price of one dollar and an assumption of the magazine's liabilities. Later that year, ''Newsweek'' merged with the news and opinion website ''The Daily Beast'', forming The Newsweek Daily Beast Company. ''Newsweek'' was jointly owned by the estate of Harman and the diversified American media and Internet company IAC (company), IAC. ''Newsweek'' continued to experience financial difficulties, whic ...
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New Scientist
''New Scientist'' is a magazine covering all aspects of science and technology. Based in London, it publishes weekly English-language editions in the United Kingdom, the United States and Australia. An editorially separate organisation publishes a monthly Dutch-language edition. First published on 22 November 1956, ''New Scientist'' has been available in online form since 1996. Sold in retail outlets (paper edition) and on subscription (paper and/or online), the magazine covers news, features, reviews and commentary on science, technology and their implications. ''New Scientist'' also publishes speculative articles, ranging from the technical to the philosophical. ''New Scientist'' was acquired by Daily Mail and General Trust (DMGT) in March 2021. History Ownership The magazine was founded in 1956 by Tom Margerison, Max Raison and Nicholas Harrison as ''The New Scientist'', with Issue 1 on 22 November 1956, priced at one shilling (a twentieth of a pound in pre-decimal UK cu ...
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