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Fifteen open problems in mathematical physics
In mathematics, the Simon problems (or Simon's problems) are a series of fifteen questions posed in the year 2000 by Barry Simon, an American mathematical
Simon_problems
Problem in computer science
algorithm solving Simon's problem, usually called Simon's algorithm, served as the inspiration for Shor's algorithm. Both problems are special cases of
Simon's_problem
American academic and Nobel Laureate (1916–2001)
Herbert Alexander Simon (June 15, 1916 – February 9, 2001) was an American scholar whose work influenced the fields of computer science, economics, and
Herbert_A._Simon
18 mathematical problems stated in 1998
Millennium Prize Problems Simon problems Taniyama's problems Hilbert's problems Thurston's 24 questions Smale, Steve (1998). "Mathematical Problems for the Next
Smale's_problems
following is a list of notable unsolved problems grouped into broad areas of physics. Some of the major unsolved problems in physics are theoretical, meaning
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
American musician (born 1943)
Carly Elisabeth Simon (born June 25, 1943) is an American musician, singer, songwriter, and author. She rose to fame in the 1970s with a string of hit
Carly_Simon
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
American mathematician
In this submission he proved that one of the problems posed in the test was ambiguous. In 1962, Simon entered Harvard with a stipend. He became a Putnam
Barry_Simon
Process of achieving a goal by overcoming obstacles
classification of problem-solving tasks is into well-defined problems with specific obstacles and goals, and ill-defined problems in which the current
Problem_solving
Deterministic quantum algorithm
classical computer. Simon's problem is an example of a problem that yields an oracle separation between BQP and BPP. In the Deutsch–Jozsa problem, we are given
Deutsch–Jozsa_algorithm
English screenwriter, film director and producer (1970–2010)
Simon Mark Monjack (9 March 1970 – 23 May 2010) was an English screenwriter, film director, producer and make-up artist. He was the husband and later
Simon_Monjack
Self-adjoint operator that arises in physical transition problems
ergodic Schrödinger operator. For example, three problems (now all solved) of Barry Simon's fifteen problems about Schrödinger operators "for the twenty-first
Almost_Mathieu_operator
American mathematician (born 1989)
solved Gromov's problem on distortion of knots, for which he received the 2012 Morgan Prize. He is a permanent member of the Simons Center for Geometry
John_Pardon
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)
American mathematician
reaction-diffusion equations and fluid mechanics. In 2001, Kiselev solved one of the Simon problems, on existence of imbedded singular continuous spectrum of the Schrödinger
Alexander Kiselev (mathematician)
Alexander_Kiselev_(mathematician)
American musical duo
Simon & Garfunkel were an American musical duo comprising the singer-songwriter Paul Simon and the singer Art Garfunkel. They were one of the best-selling
Simon_&_Garfunkel
Computer program created in 1959
General Problem Solver (GPS) is a computer program created in 1957 by Herbert A. Simon, J. C. Shaw, and Allen Newell (RAND Corporation) intended to work
General_Problem_Solver
British physicist and popular science author (born 1964)
Simon Lehna Singh, MBE (born 19 September 1964) is a British popular science author and theoretical and particle physicist. His written works include
Simon_Singh
American television writer and producer (1955–2015)
Samuel Michael Simon (June 6, 1955 – March 8, 2015) was an American television writer, producer and animal rights activist who co-developed the animated
Sam_Simon
Physics problem related to laws of motion and gravity
theoretically than the full problem. It is of practical interest as well since it accurately describes many real-world problems, the most important example
Three-body_problem
Open problem on 3x+1 and x/2 functions
converge to 1? More unsolved problems in mathematics The Collatz conjecture is one of the most famous unsolved problems in mathematics. The conjecture
Collatz_conjecture
Apostle of Jesus
Saint Peter (born Simon bar Jonah; c. 1 BC – AD 64/68), also known as Peter the Apostle and Simon Peter, or Cephas was one of the Twelve Apostles of Jesus
Saint_Peter
English bassist (1957–1979)
John Simon Ritchie (born Simon John Ritchie; 10 May 1957 – 2 February 1979), known professionally as Sid Vicious, was an English musician, best known
Sid_Vicious
Fictional rogue computer operator
created by Simon Travaglia, who takes out his anger on users (who are "lusers" to him) and others who pester him with their computer problems, uses his
Bastard_Operator_From_Hell
English reality television judge, television producer and music executive (born 1959)
Simon Phillip Cowell (/ˈkaʊəl/; born 7 October 1959) is an English television personality, record executive, and entrepreneur. He has judged on the British
Simon_Cowell
Very general problem in computer science
hidden subgroup problem (HSP) is a topic of research in mathematics and theoretical computer science. It is a generalization of problems including factoring
Hidden_subgroup_problem
Computer hardware technology that uses quantum mechanics
suggests that this is unlikely. Certain oracle problems like Simon's problem and the Bernstein–Vazirani problem do give provable speedups, though this is in
Quantum_computing
Mathematical problem involving optimal stopping theory
search online for airline tickets. Experimental research on problems such as the secretary problem is sometimes referred to as behavioral operations research
Secretary_problem
American playwright, writer, and academic (1927–2018)
Politics seldom plays in Simon's stories, and his characters avoid confronting society as a whole, despite their personal problems. "Simon is simply interested
Neil_Simon
American filmmaker
comic book-based films, Daredevil and Ghost Rider, as well as the film Simon Birch. Johnson also wrote the story for the film Christopher Robin and directed
Mark_Steven_Johnson
Process of calculating the causal factors that produced a set of observations
causes and then calculates the effects. Inverse problems are some of the most important mathematical problems in science and mathematics because they tell
Inverse_problem
Geometric minimal hypersurface
role in resolving Bernstein's problem in higher dimensions. It is named after American mathematician Jim Simons. The Simons cone is defined as the hypersurface
Simons_cone
English author and television presenter (born 1972)
Simon Alan Reeve (born 21 July 1972) is an English author, journalist, adventurer, documentary filmmaker and television presenter. Reeve has made global
Simon Reeve (British TV presenter)
Simon_Reeve_(British_TV_presenter)
Problem that is difficult or impossible to solve
to solve one aspect of a wicked problem may reveal or create other problems. Due to their complexity, wicked problems are often characterized by organized
Wicked_problem
English actor (1958–1987)
Simon Gipps-Kent (born Simon Trevor Kent; 25 October 1958 – 16 September 1987) was an English theatre and film actor in the 1970s and 1980s, known for
Simon_Gipps-Kent
Canadian mathematician (born 1934)
Department bio "Simon Bernard Kochen". Office of the Dean of the Faculty. Retrieved 2023-12-31. James B. Ax and Simon B. Kochen Diophantine problems over local
Simon_B._Kochen
1986 studio album by Paul Simon
seventh solo studio album by the American singer-songwriter Paul Simon. It was produced by Simon, engineered by Roy Halee, and released on August 25, 1986,
Graceland_(album)
German mathematician
Zürich, Princeton University, and Cambridge University. Simon Brendle has solved major open problems regarding the Yamabe equation in conformal geometry.
Simon_Brendle
American actress (1919–2009)
Isley; March 2, 1919 – December 17, 2009), also known as Jennifer Jones Simon, was an American actress and mental-health advocate. Over the course of
Jennifer_Jones
Math theorem about sphere packing
it in his list of twenty three unsolved problems of mathematics—it forms part of Hilbert's eighteenth problem. The next step toward a solution was taken
Kepler_conjecture
British animated cartoon series by Simon Tofield
Simon's Cat is a British animated web series released in 2008 by writer and creator Simon Tofield, who then expanded Simon's Cat into a book series. The
Simon's_Cat
Philosophical question
Central Problems of Philosophy. Acumen Publishing. doi:10.1017/UPO9781844653270. ISBN 978-1-902683-22-5. Klima, Gyula (2017). "The Medieval Problem of Universals"
Problem_of_universals
American singer (born 1941)
partnership with Paul Simon in the folk rock duo Simon & Garfunkel. Born in Forest Hills, Queens, New York, Garfunkel became acquainted with Simon through an elementary
Art_Garfunkel
New Zealand cricketer (born 1969)
Simon Blair Doull (born 6 August 1969) is a New Zealand radio personality, commentator, and former international cricketer. He was a right-arm medium
Simon_Doull
Danish mathematical physicist
many-body Schrödinger equation remain open, which are Problems 9, 10, 11 of the Simon problems on Schrödinger operators. In 2012, with Rupert L. Frank
Jan_Philip_Solovej
Algorithm to be run on quantum computers
abelian hidden subgroup problem is a generalization of many problems that can be solved by a quantum computer, such as Simon's problem, solving Pell's equation
Quantum_algorithm
Intelligence of machines
Chalmers identified two problems in understanding the mind, which he named the "hard" and "easy" problems of consciousness. The easy problem is understanding
Artificial_intelligence
1931 jazz standard by Gerald Marks and Seymour Simon
Etting Problems playing this file? See media help. "All of Me" is a popular song and jazz standard written by Gerald Marks and Seymour Simons in 1931
All_of_Me_(jazz_standard)
Marvel Comics character
storyline, Simon is approached by Captain America to join the new team of Avengers. Simon refuses stating that the Avengers have caused more problems than they
Wonder_Man
Observation that perception requires more computation than reasoning
lesson of thirty-five years of AI research is that the hard problems are easy and the easy problems are hard". One possible explanation of the paradox, offered
Moravec's_paradox
1965 song by Paul Simon
singer-songwriter Paul Simon. Originally recorded for Simon's 1965 UK-only debut, The Paul Simon Songbook, it was recorded soon after by Simon and his partner
A Simple Desultory Philippic (or How I Was Robert McNamara'd into Submission)
A_Simple_Desultory_Philippic_(or_How_I_Was_Robert_McNamara'd_into_Submission)
2008 Canadian TV series or program
seven Canadian cities. The show was hosted by Gavin Crawford and featured Simon Lee, Elaine Overholt, and John Barrowman as the judges for the show. The
How Do You Solve a Problem Like Maria? (Canadian TV series)
How_Do_You_Solve_a_Problem_Like_Maria?_(Canadian_TV_series)
British TV sitcom
series broadcast on BBC Two. Written by Simon Amstell and long-term collaborator Dan Swimer, the series stars Simon Amstell playing a version of himself:
Grandma's_House
English travel journalist
Simon Calder's Travel Tips". BBC. Retrieved 17 June 2026. "The Travel Show". 21 February 2014. Retrieved 15 February 2020. "Holiday problems: Simon Calder"
Simon_Calder
French mathematician
zbMATH Open". zbmath.org. Retrieved 12 March 2023. Weisstein, Eric W. "Simon's Problems". mathworld.wolfram.com. Retrieved 19 April 2023. Avila, Artur; Krikorian
Raphaël_Krikorian
Problem in probability theory
Pierre-Simon (1812), Théorie analytique des probabilités, pp. 194–195. Newman, Donald J.; Shepp, Lawrence (1960), "The double dixie cup problem", American
Coupon_collector's_problem
English businessman and media personality (born 1967)
Simon Jordan (born 24 September 1967) is an English businessman and media personality. He is the former chairman of Crystal Palace, and is currently a
Simon_Jordan
British actor (1952–2010)
Simon Charles Pendered MacCorkindale (12 February 1952 – 14 October 2010) was a British actor, film director, writer, and producer from Ely, England.
Simon_MacCorkindale
American crime drama television series (2002–2008)
4:3 framing. Simon approved the new version, and worked with HBO to remove film equipment and crew members, and solve actor sync problems in the widened
The_Wire
English actor (1950–1996)
Simon John Cadell (19 July 1950 – 6 March 1996) was a classically trained English actor, best known for his portrayal of Jeffrey Fairbrother in the first
Simon_Cadell
American mathematician
solution of old problems and the introduction of powerful new techniques," according to the prize citation. "Simons Investigator Awardees". Simons Foundation
Larry_Guth
American mathematician (1937–2006)
Simon B. Kochen, the seventh Frank Nelson Cole Prize in Number Theory, which was awarded for a series of three joint papers on Diophantine problems.
James_Ax
Mathematical counting-out question
the Past, p. 54 (Simon & Schuster 2022). Hailperin, Max; Kaiser, Barbara; Knight, Karl (1999). "3.5 An Application: The Josephus Problem" (PDF). Concrete
Josephus_problem
American YouTuber (born 1997)
moderation problems, as well as "highlighting predatory behavior" on the platform. Following Roblox Corporation v. Simon, both Roblox Corporation and Simon declined
Ruben_Sim
American record producer (1915–2005)
Simon, and Theodore) after Liberty Records executives Alvin Bennett, Simon Waronker, and Theodore Keep, respectively. In 1963, facing health problems
Simon_Waronker
Equestrian statue by Adamo Tadolini
Simon Bolivar, also known as General Bolivar, is a bronze equestrian statue of Simón Bolívar by Adamo Tadolini. There are three casts. The original is
Simón_Bolívar_(Tadolini)
2018 compilation album by Belle and Sebastian
Solve Our Human Problems, Pts. 1-3 by Belle and Sebastian Reviews". Metacritic.com. Erlewine, Stephen Thomas. "How to Solve Our Human Problems, Pts. 1-3".
How to Solve Our Human Problems
How_to_Solve_Our_Human_Problems
Smartphone model
Cellular had planned to begin selling Simon in May 1994, but due to problems with the device's software, the Simon did not become available to consumers
IBM_Simon
Belgian rock climber (born 1997)
Simon Lorenzi (born 9 February 1997) is a Belgian professional rock climber specializing in sport climbing, bouldering and competition climbing. Lorenzi
Simon_Lorenzi
Problem asking the probability that the sun will rise tomorrow
problem was first introduced publicly in 1763 by Richard Price in his famous coverage of Thomas Bayes' foundational work in Bayesianism. Pierre-Simon
Sunrise_problem
Area of discrete mathematics
Museum guard problem Covering problems in graphs may refer to various set cover problems on subsets of vertices/subgraphs. Dominating set problem is the special
Graph_theory
American mathematician and billionaire (1938–2024)
James Harris Simons (April 25, 1938 – May 10, 2024) was an American hedge fund manager, investor, mathematician, and philanthropist. At the time of his
Jim_Simons
English academic philosopher (born 1944)
Simon Blackburn's voice Recorded March 2011 from the BBC Radio 4 programme In Our Time Problems playing this file? See media help. Simon Walter Blackburn
Simon_Blackburn
2008 science fiction novel by Liu Cixin
with itself and nature, Ye invites the Trisolarans to Earth to settle its problems. After China's reforms, Ye encounters Mike Evans, heir to the world's largest
The Three-Body Problem (novel)
The_Three-Body_Problem_(novel)
1977 song performed by Paul Simon
memorable chorus line." Record World said that it "shows [Simon's] perception of adult problems and relationships to be undimmed". Music critic Robert Hilburn
Slip_Slidin'_Away
English–Irish boy band
December 10 is an English–Irish boy band formed on Simon Cowell's Netflix series The Next Act in 2025. Their debut single, "Run My Way", reached the top
December_10_(group)
Uruguayan footballer (born 1986)
the flight passages. However, there was a problem that prevented him to fulfill his dream. He had problems with papers of the Belgian passport and so
Simón_Vanderhoeght
British and American actress (1932–2011)
an emergency hysterectomy, which exacerbated her back problems and contributed to hip problems. She became addicted to alcohol and prescription pain killers
Elizabeth_Taylor
{\displaystyle H} . The problem also generalizes several other well-known graph problems, including maximum clique and maximum path. The problem is APX-hard, unless
Maximum_common_edge_subgraph
1966 single by the Cyrkle
Thyme, and his royalties stolen. Woodley and Simon stopped working together due to these royalty problems and creative differences, and the collaborations
Red_Rubber_Ball
Philosophical question
"A Brief History of Problems of Evil". In McBrayer, Justin P.; Howard-Snyder, Daniel (eds.). The Blackwell Companion to The Problem of Evil. Hoboken, New
Problem_of_evil
1932 short story collection by Agatha Christie
The Thirteen Problems is a short story collection by British writer Agatha Christie, first published in the UK by Collins Crime Club on 18 June 1932 and
The_Thirteen_Problems
Thought experiment
Egan. In both problems one can have a reason to intend to do something without having a reason to actually do it. Similarly, both problems may ask whether
Newcomb's_problem
24 mathematical problems stated in 1982
conjecture Hilbert's problems Taniyama's problems List of unsolved problems in mathematics Poincaré conjecture Smale's problems Thurston, William P. (1982)
Thurston's_24_questions
Computer scientist
Mathematics in 1982. Horst Simon is an expert in the development of parallel computational methods for the solution of scientific problems. His research interests
Horst_D._Simon
Soccer player (born 1991)
Simon Mršić (born 18 June 1991) is a professional soccer player from the United States of Croatian descent currently playing for Delfines del Este FC
Simon_Mršić
Problem in computer science
that the two problems are the same. There are machines which print but do not halt, and halt but not print. The printing and halting problems address different
Halting_problem
British politician and Lord Chancellor (1873–1954)
John Allsebrook Simon, 1st Viscount Simon, GCSI, GCVO, OBE, PC (28 February 1873 – 11 January 1954) was a British politician who held senior Cabinet posts
John Simon, 1st Viscount Simon
John_Simon,_1st_Viscount_Simon
Problem discovery
Chand distinguish problem identification and problem definition. Scholars distinguish between well-defined and ill-defined problems. Briggs and Reinig
Problem_finding
Swedish artist and designer (born 1984)
Simon Stålenhag (born 20 January 1984) is a Swedish artist, musician, and designer specialising in retro-futuristic digital art. His work primarily focuses
Simon_Stålenhag
Yes-or-no question that cannot ever be solved by a computer
Undecidable problems can be related to different topics, such as logic, abstract machines or topology. Since there are uncountably many undecidable problems, any
Undecidable_problem
Welsh soldier and charity worker
Simon Weston (born 8 August 1961) is a Welsh veteran of the British Army who is known for his charity work and recovery from severe burn injuries suffered
Simon_Weston
2021 essay collection by Black Nerd Problems
Black Nerd Problems (2021) is a collection of essays written by Black Nerd Problems, primarily Omar Holmon and William Evans. It was named a 2021 Goodreads
Black_Nerd_Problems:_Essays
English mathematician (born 1957)
the analysis of elliptic partial differential equations) to problems in geometry. The problems mainly concern gauge theory, 4-manifolds, complex differential
Simon_Donaldson
3rd episode of the 4th series of Sherlock
"The Final Problem" is the third episode of the fourth series of the British television series Sherlock, and the thirteenth episode overall. The episode
The_Final_Problem_(Sherlock)
D-Day rehearsal in 1944
Devon, it proved fraught with difficulties. Coordination and communication problems resulted in friendly fire injuries during the exercise, and an Allied convoy
Exercise_Tiger
1975 film by Melvin Frank
the problems of living in New York City is no longer funny. It's become an old joke." Charles Champlin of the Los Angeles Times wrote that "in Simon's tussles
The_Prisoner_of_Second_Avenue
Computer programming assessment type
then Parsons problems. Parsons problems have become popular as they are easier to grade than written code while capturing the students' problem solving ability
Parsons_problem
World War II general, U.S. president from 1953 to 1961
President-Elect (1893–1952). Vol. I. Simon & Schuster. Ambrose, Stephen (1984). Eisenhower: The President (1952–1969). Vol. II. Simon & Schuster. Boyle, Peter G
Dwight_D._Eisenhower
French polymath (1749–1827)
Pierre-Simon, Marquis de Laplace (/ləˈplɑːs/; French: [pjɛʁ simɔ̃ laplas]; 23 March 1749 – 5 March 1827) was a French polymath, a scholar whose work has
Pierre-Simon_Laplace
SIMON PROBLEMS
SIMON PROBLEMS
Male
Italian
Italian form of Hebrew Shimown, SIMONE means "hearkening."
Boy/Male
English
Son of Simon.
Male
Hebrew
Variant spelling of Hebrew Shimown, SHIMON means "hearkening."
Male
French
 English and French form of Greek SimÅn, SIMON means "hearkening." In the New Testament bible, this is the name of many characters, including a sorcerer and a brother of Jesus. It is often confused with Simon (2).
Boy/Male
Hebrew Swedish
Son of Simon.
Boy/Male
American, Australian, British, English, French, German, Greek, Hebrew
Hear; Listen; Form of Simon; Listening Intently; Hearkening
Female
Scandinavian
 Scandinavian feminine form of Greek Symeon, SIMONE means "hearkening." Compare with other forms of Simone.
Girl/Female
Christian & English(British/American/Australian)
It is Heard
Boy/Male
British, Dutch, English, Finnish, French, German, Hebrew, Swedish
Son of Simon; Sun Child; Little Sun
Male
Greek
 Greek byname derived from the word simós, SIMON means "flat- or snub-nosed." In use by the Russians. Compare with another form of Simon.
Female
French
 Feminine form of French Simon, SIMONE means "hearkening." Compare with other forms of Simone.
Surname or Lastname
English, French, German, Dutch, Spanish (Simón), Czech and Slovak (Šimon), Slovenian, Hungarian, and Jewish (Ashkenazic)
English, French, German, Dutch, Spanish (Simón), Czech and Slovak (Å imon), Slovenian, Hungarian, and Jewish (Ashkenazic) : from the personal name, Hebrew Shim‘on, which is probably derived from the verb sham‘a ‘to hearken’. In the Vulgate and in many vernacular versions of the Old Testament, this is usually rendered Simeon. In the Greek New Testament, however, the name occurs as SimÅn, as a result of assimilation to the pre-existing Greek byname SÄ«mÅn (from sÄ«mos ‘snub-nosed’). Both Simon and Simeon were in use as personal names in western Europe from the Middle Ages onward. In Christendom the former was always more popular, at least in part because of its associations with the apostle Simon Peter, the brother of Andrew. In Britain there was also confusion from an early date with Anglo-Scandinavian forms of Sigmund (see Siegmund), a name whose popularity was reinforced at the Conquest by the Norman form Simund.The earliest documented bearer of the surname Simon in New France came from the Saintonge region of France and was in Montreal by 1655. Another, from Paris, is recorded in Quebec City in 1659 with the secondary surname Lapointe.
Female
Finnish
 Feminine form of Finnish Simo, SIMONE means "hearkening." Compare with another form of Simone.
Female
Italian
Feminine form of Italian Simone, SIMONA means "hearkening."
Female
Persian/Iranian
(سیمین) Persian name SIMIN means "silvery."
Male
Russian
 Greek byname derived from the word simós, SIMON means "flat- or snub-nosed." In use by the Russians.Â
Surname or Lastname
English, North German, and Dutch
English, North German, and Dutch : patronymic from Simon.
Boy/Male
Shakespearean American Biblical English Greek Hebrew
King Henry IV, Part 2' Simon Shadow, a country soldier.
Female
Icelandic
 Feminine form of Icelandic SÃmon, SIMONE means "hearkening." Compare with other forms of Simone.
Surname or Lastname
English, Dutch, and French (Swiss)
English, Dutch, and French (Swiss) : variant of Simon.
SIMON PROBLEMS
SIMON PROBLEMS
SIMON PROBLEMS
SIMON PROBLEMS
SIMON PROBLEMS
SIMON PROBLEMS
SIMON PROBLEMS