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Conjectures in additive number theory
Pollock's conjectures are a set of closely related conjectures in additive number theory. They were first stated in 1850 by Frederick Pollock, a lawyer
Pollock's_conjectures
Centered figurate number that represents a nonagon with a dot in the center
Sir Frederick Pollock conjectured that every natural number is the sum of at most eleven centered nonagonal numbers. Pollock's conjecture was confirmed
Centered_nonagonal_number
American Sanskrit scholar (1948)
being projected as the divine king, Rama and divs as the rakshasas. Pollock conjectures that this recurrent "mythopolitical strategy" of using the Ramayana
Sheldon_Pollock
(PDF). Conjectures.io UnsolvedMath: A Benchmark for Mathematical Reasoning UnsolvedMath | Mathematics Problem Archive Zhi-Wei Sun's conjectures Talagrand
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Every positive integer is a sum of at most n+2 centered n-gonal numbers
1850, Sir Frederick Pollock conjectured that every positive integer is the sum of at most 11 centered nonagonal numbers. This conjecture was confirmed as
Centered polygonal number theorem
Centered_polygonal_number_theorem
Every positive integer is a sum of at most n n-gonal numbers
u2 + v2 and b = s + t + u + v. Centered polygonal number theorem Pollock's conjectures Waring's problem Heath (1910). Bell, Eric Temple (1956), "Gauss
Fermat polygonal number theorem
Fermat_polygonal_number_theorem
Mathematical problem in number theory
ways a positive integer can be represented as the sum of 4 squares Pollock's conjectures Subset sum problem, an algorithmic problem that can be used to find
Waring's_problem
Polyhedral number representing a tetrahedron
Frederick Pollock conjectured that every positive integer is the sum of at most 5 tetrahedral numbers: see Pollock tetrahedral numbers conjecture. The only
Tetrahedral_number
British lawyer and Tory politician (1783–1870)
the Royal Society, including one on what is now known as the Pollock's conjecture. Pollock died in August 1870, aged 86, and was succeeded in the baronetcy
Sir Frederick Pollock, 1st Baronet
Sir_Frederick_Pollock,_1st_Baronet
Number of close-packed spheres in an octahedron
Frederick Pollock conjectured in 1850 that every positive integer is the sum of at most 7 octahedral numbers. This statement, the Pollock octahedral
Octahedral_number
Professor of History at the University of York 2 November 2006 The Poincaré conjecture June Barrow-Green, Lecturer in the History of Mathematics at the Open
List of In Our Time programmes
List_of_In_Our_Time_programmes
Circulation of literature beyond its country of origin
by the Stanford critic Franco Moretti in a pair of articles offering "Conjectures on World Literature". Moretti believes that the scale of world literature
World_literature
Greek writer (born 1953)
best known for his international bestsellers Uncle Petros and Goldbach's Conjecture (2000) and Logicomix (2009). Most of Doxiadis’ writing in recent decades
Apostolos_Doxiadis
1982 American biographical drama film by Graeme Clifford
source material for Frances has been an ongoing subject of confusion, conjecture and controversy from the moment the film was released in 1982. The film
Frances_(film)
Cultural and artistic movement
"Jackson Pollock Painting". collections.mfa.org. Retrieved 7 January 2025. "Jackson Pollock". whitney.org. Retrieved 7 January 2025. "Jackson Pollock: Methods
Modernism
Locations where civilization emerged
duration, spanning nearly three millennia from about 6500 to 3800 B.C.". Pollock, Susan (1999). Ancient Mesopotamia: The Eden that Never Was. New York:
Cradle_of_civilization
English clergyman (1703–1791)
American Life and History: 62. JSTOR 44246641. Bonnet, Charles (1792). Conjectures Considering the Nature of Future Happiness. London: G. Paramore. Bowen
John_Wesley
Perpetual ownership of real estate
1765, "The reason of [this] appellation Sir Edward Coke offers many conjectures; but there is one which seems more probable than any that he has given
Mortmain
Monetary symbol used in many national currencies
also claimed by Ayn Rand in her 1957 novel Atlas Shrugged; in Rand's conjecture is that the "US" monogram was imprinted on the money bags used by the
Dollar_sign
1982 American fantasy film by John Milius
breaking of his father's sword—"[fulfills] a snickering spectrum of Oedipal conjecture" and asserts Homer's view that "the sword does not make the hero, but
Conan the Barbarian (1982 film)
Conan_the_Barbarian_(1982_film)
Historic site in New South Wales, Australia
said to have been designed by the architect John Bibb but there is some conjecture over this. Curby (2003, 2) notes it was commissioned by Dibbs for Blaxland
The_Hermitage,_Denistone
Theoretical stance in social science
Truth and Method (1960) The Structure of Scientific Revolutions (1962) Conjectures and Refutations (1963) One-Dimensional Man (1964) Knowledge and Human
Antipositivism
Austrian economist and philosopher (1899–1992)
living thinker, except perhaps Alfred Tarski". Popper dedicated his Conjectures and Refutations to Hayek. For his part, Hayek dedicated a collection
Friedrich_Hayek
Protection from financial loss
Cambridge University Press. pp. 657–658. J. Franklin, The Science of Conjecture: Evidence and Probability Before Pascal (Baltimore: Johns Hopkins University
Insurance
German social philosopher (1929–2026)
Truth and Method (1960) The Structure of Scientific Revolutions (1962) Conjectures and Refutations (1963) One-Dimensional Man (1964) Knowledge and Human
Jürgen_Habermas
Approach to social philosophy
Truth and Method (1960) The Structure of Scientific Revolutions (1962) Conjectures and Refutations (1963) One-Dimensional Man (1964) Knowledge and Human
Critical_theory
Adaptations of marine vertebrates to diving
D. S.; Jepson, P. D.; Ketten, D. R.; Kvadsheim, P. H.; Madsen, P. T.; Pollock, N. W.; Rotstein, D. S.; Rowles, T. K.; Simmons, S. E.; Van Bonn, W.; Weathersby
Physiology of underwater diving
Physiology_of_underwater_diving
Mobile equipment that transports people, animals or cargo
81 (1957), pp. 526–529 (526) Cook, R. M.: "Archaic Greek Trade: Three Conjectures 1. The Diolkos", The Journal of Hellenic Studies, Vol. 99 (1979), pp
Vehicle
Set of therapeutic techniques established by Sigmund Freud
University Press. ISBN 978-0-521-72978-9. Popper, Karl R. 1990. "Science: Conjectures and Refutations." Pp. 104–10 in Philosophy of Science and the Occult
Psychoanalysis
Air-dried unsalted preserved fish
OED s.v. 'stockfish': "the reason for the designation is variously conjectured" Figenschow, Stefan (2022). "The Rise and Extent of Commercial Stockfish
Stockfish
1971 single by George Harrison
details for the sessions, the exact line-up of musicians is a matter of conjecture. According to Simon Leng, the line-up comprised Harrison, Leon Russell
Bangla_Desh_(song)
Possible future referendum
trigger independence talks". BBC News. Retrieved 25 June 2024. Baker, Carl; Pollock, Louie; Cracknell, Richard (26 May 2026). "General election 2024 results"
Proposed second Scottish independence referendum
Proposed_second_Scottish_independence_referendum
Jackson Pollock Exhibition Catalogue, (New York, Museum of Modern Art, [1967]) OCLC 165852 Pictures of Nothing: Abstract Art since Pollock (A.W. Mellon
History_of_painting
Historical period in Belize, to 2000 BC
Ya'axche-style bifaces may predate the aforementioned ones, but this conjecture remains unconfirmed. Bifaces seem to have been phased out in most of Belize
Preceramic_period_in_Belize
South African diver (1974–1994)
was lost on ascent around 50 metres (160 ft) from the surface. They conjectured he had probably lost consciousness either because of oxygen toxicity
Deon_Dreyer
Anti-missile system using an X-ray laser powered by a nuclear bomb
claims of Soviet research were "5 percent information and 95 percent conjecture". This basic line of reasoning, "but the Soviets are doing it", had been
Project_Excalibur
Perelman COURANT Fields Medal winner; proved soul conjecture and Thurston's geometrization conjecture Leopold B. Felsen POLY Professor at Boston University;
List of New York University alumni
List_of_New_York_University_alumni
Rebels-Turned-Privy Counsellors: Performance of the Ritual of Counsel", Helen Matheson-Pollock, Joanne Paul, Catherine Fletcher, Queenship and Counsel in Early Modern
Wardrobe of Mary, Queen of Scots
Wardrobe_of_Mary,_Queen_of_Scots
German philosopher, sociologist, and theorist (1903–1969)
Cornelius's seminars, and Horkheimer subsequently introduced him to Friedrich Pollock. During the summer of 1924, the Viennese composer Alban Berg's Three Fragments
Theodor_W._Adorno
British mathematician and philosopher (1845–1879)
Things-in-Themselves" (1878) Regarding Clifford's concept, Sir Frederick Pollock wrote: Briefly put, the conception is that mind is the one ultimate reality;
William_Kingdon_Clifford
Fictional New Zealand mammal
was the most like a jackall of any animal he knew. The most probable conjecture is, that it is of a new species. Be this as it may, we are now certain
Waitoreke
Anglo-Irish scientist (1627–1691)
the spinning of hypotheses. "I, ... love not to believe any thing upon Conjectures, when by a not over-difficult Experiment I can try whether it be True
Robert_Boyle
English Tudor warship (1511–1545)
the wrecksite. An approximate composition of some of the crew has been conjectured based on contemporary records. The Mary Rose would have carried a captain
Mary_Rose
Greek sculptor Polykleitos wrote his Canon, prescribing proportions conjectured to have been based on the ratio 1:√2 for the ideal male nude. Persistent
Mathematics_and_art
Cultural sphere of India beyond the Indian Subcontinent
game) may involve the use of a Sanskrit phrase. Scholars like Sheldon Pollock have used the term Sanskrit Cosmopolis to describe the region and argued
Greater_India
Parker, Rozsika and Pollock, Griselda, Old Mistresses: Women, Art and Ideology. London and New York: Pandora, 1981. Griselda Pollock, Looking Back to the
Feminist_theory
English Anglican bishop (1818–1885)
ideas and in an address of 1871 said that they were, “merely guesses, conjectures, and inferences resting upon remote analogies”. He was governor of many
James_Fraser_(bishop)
American conservative think tank
efforts to reduce global warming as being "based on exaggerations and conjecture rather than science". He has stated that "even though the leading scientific
American_Enterprise_Institute
Species of mammal
regarded as reliable ... [most] estimates appear to be little more than conjecture ... [and] no quantitative data exist to confirm any of these estimates
North_Pacific_right_whale
British Army officer, explorer and antiquarian (1848–1910)
Ripper murders while attempting to retrieve ill-gotten antiquities. The conjecture is specious and not supported by other researchers. 1878: Tent Work in
Claude_Reignier_Conder
1849 murder case
out the parts, tested them, and wrote up thorough descriptions. They conjectured that a hole found underneath the left breast might have been the stab
Parkman–Webster_murder_case
Art in the Western world during the 20th century
and extreme artistic censorship in the United States. Some people have conjectured that since the subject matter was often totally abstract, Abstract expressionism
20th-century_Western_painting
German–American philosopher, sociologist, and political theorist (1898–1979)
Truth and Method (1960) The Structure of Scientific Revolutions (1962) Conjectures and Refutations (1963) One-Dimensional Man (1964) Knowledge and Human
Herbert_Marcuse
Nicolas Slonimsky's work
English-speaking musicologists as the "Slonimsky Conjecture." Some contend that Slonimsky's proposal "is not a conjecture; it is History." Guy Sacre cites Beethoven's
Lexicon_of_Musical_Invective
Repeated DNA variation between individuals
suggestions have been put forward, most of these theories are speculations and conjecture. There is no conclusive evidence that correlates a specific copy number
Copy_number_variation
Aristotle, Prior Analytics 70a4-7. Franklin, James (2001). The Science of Conjecture: Evidence and Probability Before Pascal. Baltimore: Johns Hopkins University
Statistical_syllogism
Type of land tenure under Anglo-Saxon law
with numerous examples available in the records. Ignoring any prior conjectures, the idea that folkland was land owned by the entire folk was introduced
Bookland_(law)
Ancient North African population
we have no evidence they spoke Berber. What they did speak is open to conjecture; the most likely hypothesis is a Nilo-Saharan language, related either
Garamantes
Group of pseudoscientific theories and societal practices
162. ISBN 978-1317025276. Retrieved 30 September 2021. The Traveller's conjectures allow Wells to make a startling critique of social Darwinism [...] and
Social_Darwinism
Type of logical contradiction
1016/b978-0-444-52937-4.50008-3, ISBN 978-0-444-52937-4, retrieved 2025-07-24 Pollock, John L. (1966). "The Paradoxes of Strict Implication". Logique et Analyse
Paradoxes of material implication
Paradoxes_of_material_implication
Oesch, P.A.; Brammer, G.; Weibel, A.; Li, Y.; Matthee, J.; Chisholm, J.; Pollock, C.L.; Heintz, K.E.; Johnson, B.D.; Shen, X.; Hviding, R.E.; Leja, J.;
List of the most distant astronomical objects
List_of_the_most_distant_astronomical_objects
Name list
Scott: These Reeds of Troughend were a very ancient family, as may be conjectured from their deriving their surname from the river on which they had their
Reed_(name)
Art museum in Norfolk, Virginia
Singleton Copley, Pinckney Marcius-Simons, Thomas Cole, Edward Hopper, Jackson Pollock, Andy Warhol, Richard Diebenkorn, Karen LaMonte, and Franz Kline. École
Chrysler_Museum_of_Art
Cancer caused by ionizing radiation exposure
simplest and most conservative of the three. Radiation hormesis is the conjecture that a low level of ionizing radiation (i.e., near the level of Earth's
Radiation-induced_cancer
Politician and celebrity support for or against Brexit during its lead-up
Dr Geeta Nargund, medical director, Create Fertility, London Dr George Pollock, chairman, Education and Training Committee, Birmingham Medical Institute
Endorsements in the 2016 United Kingdom European Union membership referendum
Endorsements_in_the_2016_United_Kingdom_European_Union_membership_referendum
of Georgia, distinguished number theorist (Lenstra-Pomerance-Wagstaff conjecture) Robert Rumely, professor of mathematics at UGA and numbers theory researcher
List of University of Georgia people
List_of_University_of_Georgia_people
American politician and lawyer (1811–1884)
heteronormative blinders that they themselves know not what they write". These conjectures were not given scholarly weight until 2001, when, in an introduction
Judah_P._Benjamin
they had one to five good friends, as compared to 49% of males. Tittle conjectures that these findings indicate that under comparable circumstances, women
Social groups in male and female prisons in the United States
Social_groups_in_male_and_female_prisons_in_the_United_States
Archaeological site in Ohio, United States
archaeological investigation in the state of Ohio. In 1788 Benjamin Franklin conjectured that the earthworks may have been built by members of the 1540 Hernando
Marietta_Earthworks
Any life form too small for the naked human eye to see that lives in a marine environment
and by sunlight when nutrients are scarce." There is an astrobiological conjecture called the Purple Earth hypothesis which surmises that original life forms
Marine_microorganisms
Museum (1983–1995). Mikio Sato, 94, Japanese mathematician (Sato–Tate conjecture, Bernstein–Sato polynomial). Tim Schadla-Hall, 75, British archaeologist
Deaths_in_January_2023
Bulgarian underwater archaeologist
allowed Ognenova to conclude that the Illyrian text, despite previous conjectures of its meaninglessness was significant. Tracing the origin of the ring
Lyuba_Ognenova-Marinova
Medieval Scottish clan
§ 1213.6; Pollock, M (2005) p. 27; Annala Uladh (2003) § 1214.2; Oram (2000) p. 117; McDonald (1997) p. 80; Duffy (1993) pp. 67, 77. Pollock, M (2005)
Clann_Ruaidhrí
United States historic place
the location of this village had not yet been identified. Archeologists conjecture that the Iowa River, shifting its course frequently during the following
Toolesboro_Mound_Group
American artist
emotional, and gutsy" alternative to most fiber art, which leaves viewers to conjecture on associations between women, fiber and gender stereotypes, the destructive
Elana_Herzog
Brexit negotiations topic
Sea cod, into the national diet. Other whitefish like halibut, hake and pollock, also became popular. By the end of the 14th century, fishing boats from
Fish_for_finance
travel, tourism, insurance
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