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4 unusual facts about Waring's problem


R. K. Rubugunday

Raghunath Krishna Rubugunday (1918–2000) was an Indian mathematician specializing in number theory notable for his contribution to Waring's problem.

Stern prime

All the known Stern primes have more efficient Waring representations than their Goldbach representations would suggest.

Sums of powers

Waring's problem asks whether for every natural number k there exists an associated positive integer s such that every natural number is the sum of at most s kth powers of natural numbers.

Wieferich's theorem

The solution to Waring's problem for cubes, that every integer is the sum of at most 9 cubes


Coupon collector's problem

Donald J. Newman and Lawrence Shepp found a generalization of the coupon collector's problem when m copies of each coupon needs to be collected.

Enrico Giusti

One of the most famous results of Giusti, is the one obtained with Enrico Bombieri and Ennio De Giorgi, concerning the minimality of Simons' cones, and allowing to disprove the validity of Bernstein's theorem in dimension larger than 8.

Everybody's Problem

He was set to break up the band and go to university himself before a practice with Russell Senior (violin, guitar, vocals) and Magnus Doyle (drums) led to the establishment of a new, more experimental, artier and noisier direction for Pulp.

Frank W. Lewis

Frank Waring Lewis (August 25, 1912 – November 18, 2010) was an American cryptographer and cryptic crossword compiler.

Galton's problem

Galton’s problem, named after Sir Francis Galton, is the problem of drawing inferences from cross-cultural data, due to the statistical phenomenon now called autocorrelation.

Gilbert V. Hartke

He recruited playwright Leo Brady, director Alan Schneider and theatrical designer James Waring to the faculty.

Harry Simeone

After garnering vocal and music arrangement credits for the 1938 RKO motion picture Radio City Revels, Simeone relocated to Hollywood with his wife Margaret McCravy, who briefly sang with Benny Goodman's orchestra, using the stage name Margaret McCrae, and later with Fred Waring.

Horace Waring

On 1 May 1948, Waring was appointed professor of zoology at the University of Western Australia.

If Women Counted

Margunn Bjørnholt and Ailsa McKay (eds.), Counting on Marilyn Waring: New Advances in Feminist Economics, with a foreword by Julie A. Nelson, Toronto, Demeter Press/Brunswick Books, 2014, ISBN 9781927335277

James Waring

Waring, who designed the costumes for his dance works, collaborated with visual artists such as George Brecht, Red Grooms, Al Hansen, Robert Indiana, Jasper Johns, Allan Kaprow, Larry Poons, Robert Watts and Robert Whitman.

Musically, Waring sometimes wrote his own music, but more often he worked with composers and musicians such as Philip Corner, Terry Jennings, Malcolm Goldstein, Richard Maxfield and Marga Richter, among others.

Jim Waring

Following the announcement that John Shadegg would not stand for re-election in 2010, Waring resigned his State Senate seat to run for the U.S. House of Representatives in Arizona's 3rd congressional district.

John Scott-Waring

She was the mother of two sons—Edward, a civil servant in Bengal; and Charles, who died young—and of two daughters, the elder of whom, Anna Maria, married John Reade of Ipsden House, Oxfordshire, was mother of Charles Reade and Edward Anderdon Reade, and died 9 August 1863, aged 90; the younger, Eliza Sophia, married the Rev. George Stanley Faber.

Magic 8-Ball

Using the Coupon collector's problem in probability theory, it can be shown that it takes, on average, 72 outcomes of the Magic 8 Ball for all 20 of its answers to appear at least once.

Motz's problem

In mathematics, Motz's problem is a problem which is widely employed as a benchmark for singularity problems to compare the effectiveness of numerical methods.

Napoleon's problem

Napoleon was known to be an amateur mathematician but it is not known if he either created or solved the problem.

Norma Fisher

She is regularly invited on the jury of many leading international piano competitions including Young Musicians (Enschede, Holland), Gina Bachauer (USA), Horowitz (Kiev, Ukraine), Joanna Hodges (USA), Newport (Wales), Sydney (Australia) and Virginia Waring (USA).

Peter John Stephens

He was the brother of Richard Waring, the US-based actor, and son of Thomas E. Stephens, whose portrait of Dwight D. Eisenhower hangs in the Smithsonian Gallery of Presidents and Evelyn Mary Waring.

Plateau's problem

To solve the extended problem, the theory of perimeters (De Giorgi) for codimension 1 and the theory of rectifiable currents (Federer and Fleming) for higher codimension have been developed.

Radio teleswitch

The radio teleswitch project was chaired by Walter Waring, deputy chairman of Eastern Electricity, and supported by the BBC.

Robert Waring Stoddard

Robert Waring Stoddard (c. 1906 – 1984) was President of Wyman-Gordon, a major industrial enterprise, and one of the founders of the anti-communist John Birch Society.

Štefan Znám

Štefan Znám (9 February 1936, Veľký Blh – 17 July 1993, Bratislava) was a Slovak- Hungarian mathematician, believed to be the first to ponder Znám's problem in modern times.

Stewart L. Gordon

He has served as an adjudicator for many international competitions, including the Gina Bachauer, William Kapell, Rosa Ponselle, Virginia Waring and the finals of the Canadian Music Competitions, and Music Teachers National Competitions at the regional and national levels.

Waring's Pennsylvanians

Waring's Pennsylvanians was a band and choral group which was most popular in the 1920s and 1930s but continued to exist and sing until Fred Waring's death in 1984.

Waringstown

Margaret Parr, Holt Waring's young widow, became the well-known Mrs Waring who, over the next fifty years, was to have such a strong and beneficial influence of the life of Waringstown.

What's Become of Waring

Waring, anticipating Thomas Pynchon in his insistence on privacy and anonymity, is soon confirmed dead.


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