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Mathematical problem in number theory
In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of
Waring's_problem
On mathematics of sums of prime powers
The Waring–Goldbach problem is a problem in additive number theory, concerning the representation of integers as sums of powers of prime numbers. It is
Waring–Goldbach_problem
Thought experiment in ethics
The trolley problem is a thought experiment in moral philosophy and moral psychology with many variations, involving hypothetical ethical dilemmas about
Trolley_problem
American sci-fi television series
3 Body Problem is an American science fiction television series created by David Benioff, D. B. Weiss, and Alexander Woo. It is the third adaptation of
3_Body_Problem_(TV_series)
Technique in analytic number theory
Hardy and J. E. Littlewood, who developed it in a series of papers on Waring's problem. The initial idea is usually attributed to the work of Hardy with Srinivasa
Hardy–Ramanujan–Littlewood circle method
Hardy–Ramanujan–Littlewood_circle_method
Process of achieving a goal by overcoming obstacles
Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from
Problem_solving
Problem caused by profanity filters on the Internet
The Scunthorpe problem is the unintentional blocking of online content by a spam filter, search engine or wordfilter because the text contains a string
Scunthorpe_problem
Asks whether each integer is a sum of four cubes
Unsolved problem in mathematics Is every integer the sum of four perfect cubes? More unsolved problems in mathematics The sum of four cubes problem asks whether
Sum_of_four_cubes_problem
Russian mathematician (1937–2008)
subsequent investigation of the Waring problem Karatsuba obtained the following two-dimensional generalization of that problem: Consider the system of equations
Anatoly_Karatsuba
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Series of US naval exercises in the interwar period
around 2016. The first twenty-one Fleet Problems — labeled by Navy leadership as Fleet Problem I through Fleet Problem XXI — were conducted between 1923 and
Fleet_problem
Computer bugs related to the year 2000
The Year 2000 problem (Y2K) was the potential for computer errors on the Gregorian calendar related to the formatting and storage of calendar data for
Year_2000_problem
Philosophical question
The problem of evil, also known as the problem of suffering, is the philosophical question of how to reconcile the existence of evil and suffering with
Problem_of_evil
Legendary war in Greek mythology
touch wine, wheat, and oil from the earth, in order to relieve the supply problem of the army. Chryses, a priest of Apollo and father of Chryseis, came to
Trojan_War
Topics referred to by the same term
Chechen War may refer to: Chechen–Russian conflict, 1785–2017 Caucasian War, 1817–1864 Murid War, 1829–1859, a.k.a. Russian Conquest of Chechnya and Dagestan
Chechen_War
Global conflict (1939–1945)
for most armed forces. Most major belligerents attempted to solve the problems of complexity and security involved in using large codebooks for cryptography
World_War_II
Exploring properties of the integers with complex analysis
Goldbach conjecture and Waring's problem). Analytic number theory can be split up into two major parts, divided more by the type of problems they attempt to solve
Analytic_number_theory
Natural number
number of fourth powers needed to sum up to any natural number (see, Waring's problem). There are 19 compositions of 8 into distinct parts. There are 19
19_(number)
Philosophical question of how to distinguish between science and non-science
In philosophy of science and epistemology, the demarcation problem is the question of how to distinguish between science and non-science. It also examines
Demarcation_problem
Dismissive figure of speech
"Somebody else's problem" or "someone else's problem" is an issue which is dismissed by a person on the grounds that they consider somebody else to be
Somebody_else's_problem
Natural number
Every positive integer is the sum of at most 37 fifth powers (see Waring's problem). The smallest magic square, using only primes and 1, contains 37 as
37_(number)
English mathematician (1736–1798)
death. He made the assertion known as Waring's problem without proof in his writings Meditationes Algebraicae. Waring was elected a Fellow of the Royal Society
Edward_Waring
British mathematician
and a Lester Randolph Ford Award for his article "Waring's Problem“, an exposition of Waring's problem with Fern Ellison: Prime Numbers (Les nombres premiers
William_J._Ellison
Even integers as sums of two primes
Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every even natural
Goldbach's_conjecture
1775–1783 conflict in North America
Native American raids on the American frontier, however, continued to be a problem. Also, in 1779, Spain allied with France against Great Britain in the Treaty
American_Revolutionary_War
Study of optimal transportation and allocation of resources
made in the field during World War II by the Soviet mathematician and economist Leonid Kantorovich. Consequently, the problem as it is stated is sometimes
Transportation theory (mathematics)
Transportation_theory_(mathematics)
Surname list
Edward Waring (c. 1736–1798), British mathematician and eponym of Waring's Problem Eddie Waring (1910–1986), British sports commentator Edmund Waring (c.
Waring
Question of whether inductive reasoning leads to definitive knowledge
The problem of induction is a philosophical problem that questions the rationality of predictions about unobserved things based on previous observations
Problem_of_induction
Mathematical problem of placing fuel depots
The jeep problem, desert crossing problem or exploration problem is a mathematics problem in which a jeep must maximize the distance it can travel into
Jeep_problem
2008 science fiction novel by Liu Cixin
The Three-Body Problem (Chinese: 三体; pinyin: Sān tǐ; lit. 'three body') is a 2008 novel by the Chinese hard science fiction author Liu Cixin. It is the
The Three-Body Problem (novel)
The_Three-Body_Problem_(novel)
Mathematical counting-out question
computer science and mathematics, the Josephus problem (or Josephus permutation) is a theoretical problem related to a certain counting-out game. Such games
Josephus_problem
1812–1815 conflict in North America
its five "super-frigates" non-operational at the onset of the war. Its principal problem was lack of funding, as many in Congress did not see the need
War_of_1812
President of the United States from 1901 to 1909
office. A sickly child with debilitating asthma, Roosevelt overcame health problems through a regime of vigorous exercise, which he called "the strenuous life"
Theodore_Roosevelt
1984 studio album by Black Flag
"Scream" typifies the Black Sabbath-like plodding of the B-side of My War. Problems playing this file? See media help. The second side's three tracks each
My_War
1803–1815 series of wars led by Napoleon
letter to the Russian envoy in Constantinople, in which they spoke of the problems and wishes of the Serbian people, but they also stressed that they would
Napoleonic_Wars
Ongoing conflict since 2014
launch missiles into Ukraine. There are "some contradictions and inherent problems" regarding the date on which the occupation began. The Ukrainian Government
Russo-Ukrainian_war
Process of calculating the causal factors that produced a set of observations
An inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating
Inverse_problem
Canadian-American number theorist (1915–1999)
Canadian-American number theorist best remembered for his work on Waring's problem. He worked for many years as a professor at the University of Oregon
Ivan_M._Niven
1955–1975 war in Southeast Asia
herbicides, which led to significant health problems. Political repression and flawed economic policies following the war would precipitate the Vietnamese boat
Vietnam_War
1861–1865 conflict in the United States
in Perman, Michael and Taylor, Amy Murrell, eds. (2011). Major Problems in the Civil War and Reconstruction, 3rd ed. Boston: Wadsworth, Cengage Learning
American_Civil_War
British mathematician (1885–1977)
by correspondence, covered fields in Diophantine approximation and Waring's problem, in particular. In his other work, he collaborated with Raymond Paley
John_Edensor_Littlewood
Topics referred to by the same term
Euler's conjecture: Euler's sum of powers conjecture Euler's conjecture (Waring's problem) Euler's Graeco-Latin square conjecture This disambiguation page lists
Euler's_conjecture
Problems in reconstructing a historical and philosophical image of Socrates
In historical scholarship, the Socratic problem (also called Socratic question) concerns attempts at reconstructing a historical and philosophical image
Socratic_problem
1983 studio album by Pink Floyd
obsessed with war and control. "The Post War Dream" Waters' lyrics demonstrate his despair of war, in particular the Falklands War. Problems playing this
The_Final_Cut_(album)
Cigarette company in Berlin, Germany
Mahala Problem, officially Problem oHG, was a cigarette company from Berlin, popular and successful before and after the First World War. The company
Mahala_Problem_Cigarettes
Possibility that a debtor country might gain by making payments to its creditor countries
The transfer problem in international trade refers to the possibility that a debtor country might end up better off after making payments to its creditor
Transfer_problem
Global conflict from 1914 to 1918
2013. Torrie, Glenn E. (1978). "Romania's Entry into the First World War: The Problem of Strategy" (PDF). Emporia State Research Studies. 26 (4). Emporia
World_War_I
Indian mathematician (born 1951)
work in number theory, which includes settling the final g(4) case of Waring's problem in 1986. He is also known for his work in Cryptography which includes
Ramachandran_Balasubramanian
Indian mathematician (1901–1950)
Indian mathematician specialising in number theory. His contribution to Waring's problem was described in 1950 by K. S. Chandrasekharan as "almost certainly
Subbayya Sivasankaranarayana Pillai
Subbayya_Sivasankaranarayana_Pillai
Type of social dilemma
A collective action problem or social dilemma is a situation in which all individuals would be better off cooperating but fail to do so because of conflicting
Collective_action_problem
Roosevelt and Edgar Ansel Mowrer organize a National Conference on the German Problem. The conference was held in the Waldorf Astoria Hotel in New York and was
Society for the Prevention of World War III
Society_for_the_Prevention_of_World_War_III
Medieval Anglo-French conflicts, 1337–1453
the dynastic question in explaining the outbreak of the war. Guyenne posed a significant problem to the kings of France and England: Edward III was a vassal
Hundred_Years'_War
Problem in number theory
Unsolved problem in mathematics Is there a number that is not 4 or 5 modulo 9 and that cannot be expressed as a sum of three cubes? More unsolved problems in
Sums_of_three_cubes
Phase since 2022 of war ongoing since 2014
had contributed to the food export crisis, saying: "If Kyiv solves the problem of demining ports, the Russian Navy will ensure the unimpeded passage of
Russo-Ukrainian war (2022–present)
Russo-Ukrainian_war_(2022–present)
(July 21, 2014). "A 'New' New Hope: Film Preservation and the Problem with 'Star Wars'". soundonsight.org. Sound on Sight. Archived from the original
List_of_Star_Wars_films
1982 undeclared Argentina–United Kingdom war
public attention from the chronic economic problems and the ongoing human rights violations of its Dirty War, bolstering the junta's dwindling legitimacy
Falklands_War
Class of software bugs
consequence of this type is the Y2K problem, but many other milestone dates or times exist that have caused or will cause problems depending on various programming
Time formatting and storage bugs
Time_formatting_and_storage_bugs
2019 Marvel Studios film
26, 2018). "The Avengers 4 Trailers Are Going to Have a Weird Marketing Problem". Gizmodo. Archived from the original on June 26, 2018. Retrieved June
Avengers:_Endgame
American television miniseries
2021). "Matt Berry's 'Boba Fett' Cameo Highlights The Biggest Star Wars Problem". Inverse. Archived from the original on December 29, 2021. Retrieved
The_Book_of_Boba_Fett
1918 American film
Life's Greatest Problem is a 1918 American silent war drama film directed and produced by J. Stuart Blackton. The film exists today, preserved in the
Life's_Greatest_Problem
In additive number theory, a way to measure how dense a sequence of numbers is
novel resource (if not greatly powerful) to attack important problems, such as Waring's problem and Goldbach's conjecture. Theorem. Let A {\displaystyle A}
Schnirelmann_density
Dispute between Greek and Turkish Cypriots
Czechoslovakia and Eastern Bloc had previously interfered politically. The problem entered its current phase in the aftermath of the 1974 Turkish invasion
Cyprus_problem
Open question in philosophy of how abstract minds interact with physical bodies
The mind–body problem is a philosophical problem concerning the relationship between thought and consciousness in the human mind and body. It addresses
Mind–body_problem
36 mathematical problems stated in 1955
Taniyama's problems are a set of 36 mathematical problems posed by Japanese mathematician Yutaka Taniyama in 1955. The problems primarily focused on algebraic
Taniyama's_problems
Eight disciplines of team-oriented problem solving method
recurring problems. It establishes a permanent corrective action based on statistical analysis of the problem and on the origin of the problem by determining
Eight disciplines problem solving
Eight_disciplines_problem_solving
Violations of laws of war
2025. Moses, A. Dirk (19 September 2025). "Introduction: Gaza and the Problems of Genocide Studies". Journal of Genocide Research (Roundtable: Gaza and
Israeli war crimes in the Gaza war
Israeli_war_crimes_in_the_Gaza_war
King of Sparta, husband of Helen of Troy
them and giving grounds for a quarrel. Odysseus promised to solve the problem in a satisfactory manner if Tyndareus would support him in his courting
Menelaus
1947–1991 geopolitical rivalry between US and USSR
spending on the arms race and other Cold War commitments both caused and exacerbated deep-seated structural problems in the Soviet system, which experienced
Cold_War
1932 Australian nuisance wildlife management campaign
left large gaps in fences where rabbits could enter and cause further problems. Farmers relayed their concerns about the birds ravaging their crops, and
Emu_War
War between Athens and Sparta (431–404 BC)
Cynthia (2002). "Numismatic Problems in the Achaemenid West: The Undue Modern Influence of 'Tissaphernes'". Numismatic Problems in the Achaemenid West: The
Peloponnesian_War
On minimizing crossings in bicliques
problem in mathematics Can any complete bipartite graph be drawn with fewer crossings than the number given by Zarankiewicz? More unsolved problems in
Turán's_brick_factory_problem
Intelligence of machines
typically associated with human intelligence, such as learning, reasoning, problem-solving, perception, and decision-making. It is a field of research in
Artificial_intelligence
Problem in statistical estimation
In the statistical theory of estimation, the German tank problem consists of estimating the maximum of a discrete uniform distribution from sampling without
German_tank_problem
American media franchise
(July 21, 2014). "A 'New' New Hope: Film Preservation and the Problem with 'Star Wars'". soundonsight.org. Sound on Sight. Archived from the original
Star_Wars
1960s–1998 conflict in Northern Ireland
being demolished. According to social worker and author Sarah Nelson, this problem of homelessness and disorientation contributed to the breakdown of the
The_Troubles
Geometry problem about finding touching circles
In Euclidean plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane (Figure 1). Apollonius of
Problem_of_Apollonius
Major war in Central Europe (1618–1648)
thus became the limiting factor in planning campaigns, a problem that grew more acute as the war progressed. Armies became smaller, with a greater emphasis
Thirty_Years'_War
Trojan prince, second husband of Helen of Troy
wounding of Machaon contributes to a Trojan advance. Hector says that his problem is not so much a lack of skill, as it is a lack of character. Early in
Paris_(mythology)
Military campaign following the September 11 attacks
on 11 December 2025. Retrieved 10 December 2025. "Yes, ISIS Is Still A Problem". The National Interest. 11 August 2025. Retrieved 10 December 2025. "Ten
War_on_terror
The Manchuria-Mongolia problem (Japanese: 満蒙問題, Hepburn: manmō mondai) refers to a set of issues concerning Imperial Japan's protection of its special
Manchuria–Mongolia_problem
1937–1945 conflict in East Asia
2024. Bix, Herbert P. (1992). "The Showa Emperor's 'Monologue' and the Problem of War Responsibility". Journal of Japanese Studies. 18 (2): 295–363. doi:10
Second_Sino-Japanese_War
Casualties of ongoing conflict since 2014
Russian military casualties classified as missing, describing systemic problems with Russia's military record-keeping making it difficult for families
Casualties of the Russo-Ukrainian war
Casualties_of_the_Russo-Ukrainian_war
Result of multiplying four instances of a number together
13792 can be expressed as the sum of at most 16 fourth powers (see Waring's problem). Fermat knew that a fourth power cannot be the sum of two other fourth
Fourth_power
Natural number
than it are separately permuted among themselves. In connection with Waring's problem, 223 requires the maximum number of terms (37 terms) when expressed
223_(number)
British mathematician
applications of exponential sums. He has made significant breakthroughs on Waring's problem, for which he was awarded the Salem Prize in 1998. Wooley read mathematics
Trevor_Wooley
Hungarian mathematician (1913–1996)
mathematical conjectures of the 20th century. Erdős pursued and proposed problems in discrete mathematics, graph theory, number theory, mathematical analysis
Paul_Erdős
Global war among European powers (1756–1763)
retreated soon afterwards. Logistics was a recurring problem for the Russians throughout the war. The Russians lacked a quartermaster's department capable
Seven_Years'_War
Vietnamese mathematician
application, he established a refinement of Waring's problem. In 2003, Vu and Szemeredi solved the Erdos-Folkman problem, answering the following question: How
Van_H._Vu
2003–2011 conflict in Iraq
self-inflicted problems to even bigger self-inflicted problems, holding up the latter while covering up the former. In this sense, the Iraq war remains unfinished
Iraq_War
2019 book by Megan Daum
The Problem with Everything: My Journey Through the New Culture Wars is a 2019 book on culture wars by Meghan Daum in which the author criticizes fourth-wave
The_Problem_with_Everything
American animated television series
The Problem Solverz is an American animated television series created by Ben Jones for Cartoon Network. It follows Alfe, Roba, and Horace; a group of
The_Problem_Solverz
Tenth conflict of the Russo-Turkish wars (1853–1856)
forced Russia's educated elites to identify the country's fundamental problems. It became a catalyst for reforms of Russia's social institutions, including
Crimean_War
Declaration of war Neville Chamberlain announces war with Germany, broadcast by the BBC Home Service at 11.15 am BST on 3 September 1939. Problems playing this
British declaration of war on Germany (1939)
British_declaration_of_war_on_Germany_(1939)
American author and journalist (1899–1961)
Hemingway family suffered a series of accidents and health problems in the years following the war: in a 1945 car accident, he injured his knee and sustained
Ernest_Hemingway
Fictional character created by Sir Arthur Conan Doyle
battle with the criminal mastermind Professor James Moriarty in "The Final Problem" (published 1893, but set in 1891), as Conan Doyle felt that "my literary
Sherlock_Holmes
Type of website edited collaboratively
"KingdomOfFrance", and displayed as "Kingdom Of France". To avoid this problem, the syntax of wiki markup gained free links (called wikilinks), wherein
Wiki
Rhetorical trope, used to manage a perceived societal problem
of war as metaphor is a longstanding literary and rhetorical trope. In political usage, war metaphors are used to manage a perceived societal problem, with
War_as_metaphor
2015 film by J. J. Abrams
February 7, 2016. Valero, Gerardo (January 5, 2016). "Plagiarizing Star Wars the problems with The Force Awakens". RogerEbert.com. Archived from the original
Star_Wars:_The_Force_Awakens
Far-right authoritarian political ideology
Spanish Civil War in the Air. Bloomsbury Publishing. ISBN 978-1-78673-563-8. Amann, Peter H. (1986). "A 'Dog in the Nighttime' Problem: American Fascism
Fascism
Crisis in relations between states
ongoing) Indo-Pakistani wars and conflicts (1947 – ongoing) Territorial disputes in the South China Sea (1950s – ongoing) Cyprus problem (1963 – ongoing) Iran–Saudi
International_crisis
WARINGS PROBLEM
WARINGS PROBLEM
Boy/Male
Muslim
Heir, Inheritor, Successor
Surname or Lastname
English
English : from the Norman personal name Warin, derived from Germanic war(in) ‘guard’, and used as a short form of various compound names with this first element. Compare, for example, Warner 2. The name was popular in France and among the Normans, partly as a result of the popularity of the Carolingian lay Guérin de Montglave.
Male
German
Pet form of Old High German Warin, from the word wari(n), WARINOT means "cover, shelter," from warnôn "to be careful, watchful."Â
Surname or Lastname
English
English : variant of Spring.
Boy/Male
British, English, German, Latin, Teutonic
Watchman; True
Surname or Lastname
English
English : variant of Waring.
Surname or Lastname
English (East Anglia)
English (East Anglia) : of uncertain origin. There is a family tradition that the name is of Low German origin; probably a variant of Warns. There was fairly extensive migration from the Low Counties to East Anglia during the Middle Ages in connection with the wool trade.
Surname or Lastname
English
English : variant spelling Waring.
Surname or Lastname
English
English : perhaps be a nickname from Middle English daring ‘trembling’, ‘crouching or transfixed with fear’.
Boy/Male
Muslim/Islamic
Loving Caring, Daring
Biblical
ploughing plough or till
Boy/Male
Hindu
Deeptimate wearing gem-studded earrings
Male
German
Old High German name derived from the word wari(n), WARIN means "cover, shelter," from warnôn "to be careful, watchful."Â
Boy/Male
Tamil
Ratnakundala | ரதà¯à®¨à®•à¯à®‚டல
Deeptimate wearing gem-studded earrings
Ratnakundala | ரதà¯à®¨à®•à¯à®‚டல
Boy/Male
Latin Teutonic
True.
Boy/Male
Muslim
Loving, Caring, Daring
Boy/Male
Australian, French, Greek, Latin
Of the Sea; Warlike
Surname or Lastname
English
English : variant spelling of Waring.
Boy/Male
Latin
Of the sea.
Boy/Male
Indian
Loving, Caring, Daring
WARINGS PROBLEM
WARINGS PROBLEM
Male
Egyptian
, Osirtesen III., and the Asychis of Manetho.
Boy/Male
Hebrew American Biblical
God is my light.
Girl/Female
American, Arabic, Australian, Bengali, British, Chinese, Christian, Danish, Dutch, English, French, German, Indian, Kannada, Latin, Marathi, Netherlands, Swedish
Rejoicing; Cheerful; Merry; Joyous; Lord; Youthful
Girl/Female
Tamil
Prishanka | பà¯à®°à¯€à®·à®‚கா
Girl/Female
Muslim
Beautiful, Kind and loving
Boy/Male
French
From the flat land.
Girl/Female
Muslim/Islamic
Sky
Boy/Male
Indian, Punjabi, Sikh
Matchless Brave
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi
Lord Krishna
Girl/Female
Muslim
Heedfulness of God
WARINGS PROBLEM
WARINGS PROBLEM
WARINGS PROBLEM
WARINGS PROBLEM
WARINGS PROBLEM
n.
A line for hauling the reef cringle to the yard; -- also called reef earing.
n.
The act or process of waning, or decreasing.
n. pl.
Earnings.
n.
The act of one who wears; the manner in which a thing wears; use; conduct; consumption.
p. pr. & vb. n.
of Wear
n.
Precept or warning against evil of any kind; exhortation to wariness; advice; injunction.
a.
Pertaining to, or designed for, wear; as, wearing apparel.
n.
The art or occupation of preparing warp or webs for the weaver.
n.
Wariness.
p. pr. & vb. n.
of Warp
a.
Giving previous notice; cautioning; admonishing; as, a warning voice.
n.
The act or process of one who, or that which, warps.
n.
The act of waking, or the state or period of being awake.
v. t.
To bend or strain out of its position; as, to wring a mast.
n.
Boldness; fearlessness; adventurousness; also, a daring act.
p. pr. & vb. n.
of War
v. t.
To twist and compress; to turn and strain with violence; to writhe; to squeeze hard; to pinch; as, to wring clothes in washing.
n.
That which is worn; clothes; garments.
n.
A line used to fasten the upper corners of a sail to the yard or gaff; -- also called head earing.
a.
Bold; fearless; adventurous; as, daring spirits.