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Topics referred to by the same term
Macdonald conjecture may refer to one of several conjectures: Macdonald's conjectures about Macdonald polynomials Macdonald's generalization of the Dyson
Macdonald_conjecture
Orthogonal symmetric polynomial family
algebras and Hilbert schemes, which were used to prove several conjectures made by Macdonald about them. First fix some notation: R is a finite root system
Macdonald_polynomials
Theorem about the constant term of certain Laurent polynomials
generalized it to the q-Dyson conjecture, proved by Zeilberger and Bressoud and sometimes called the Zeilberger–Bressoud theorem. Macdonald generalized it further
Dyson_conjecture
Array of nonnegative integers in combinatorics
In 1979, Andrews proved Macdonald's conjecture for the case q = 1 as the "weak" Macdonald conjecture. Three years later William H. Mills,
Plane_partition
later proved by M. Haiman. It implies Macdonald's positivity conjecture about the Macdonald polynomials. The Macdonald polynomials P λ {\displaystyle P_{\lambda
N!_conjecture
Mathematical model
William H., Robbins, David P., and Rumsey, Howard Jr., Proof of the Macdonald conjecture, Inventiones Mathematicae, 66 (1982), 73–87. Mills, William H., Robbins
Alternating_sign_matrix
to an affine Weyl group, and can be used to prove Macdonald's constant term conjecture for Macdonald polynomials. Let V {\displaystyle V} be a Euclidean
Affine_Hecke_algebra
2002) n! conjecture (Mark Haiman, 2001) (and also Macdonald positivity conjecture) Kato's conjecture (Pascal Auscher, Steve Hofmann, Michael Lacey, Alan
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Method of computing determinants
William H., Robbins, David P., and Rumsey, Howard, Jr., Proof of the Macdonald conjecture, Inventiones Mathematicae, 66 (1982), 73-87. Mills, William H., Robbins
Dodgson_condensation
Romanian-American mathematician
strong Macdonald conjecture and Hodge theory on the loop Grassmannian", Ann. of Math., vol. 168, 2008, p. 175–220, Arxiv "The quantization conjecture revisited"
Constantin_Teleman
Algebra term in mathematics
were introduced by Cherednik, who used them to prove Macdonald's constant term conjecture for Macdonald polynomials. Infinitesimal Cherednik algebras have
Double_affine_Hecke_algebra
Technique in mathematical group theory
group defined over a finite field, with Frobenius map F. Ian G. Macdonald conjectured that there should be a map from general position characters of F-stable
Deligne–Lusztig_theory
British mathematician (1928–2023)
the field. The Macdonald polynomials are now named after him. The Macdonald conjectures from 1982 also proved most influential. Macdonald was elected a
Ian_G._Macdonald
particular satisfy analogues of Macdonald's conjectures. In addition Jan Felipe van Diejen showed that the Macdonald polynomials associated to any classical
Koornwinder_polynomials
Australian mathematician
(in joint work with Fishel and Teleman) the proof of the strong Macdonald conjecture of Hanlon and Feigin for reductive Lie algebras. Ian Grojnowski at
Ian_Grojnowski
Mathematical term
showed how to expand Macdonald polynomials in terms of LLT polynomials. Ian Grojnowski and Mark Haiman proved a positivity conjecture for LLT polynomials
LLT_polynomial
American mathematician
University of California at Berkeley who proved the Macdonald positivity conjecture for Macdonald polynomials. He received his Ph.D. in 1984 in the Massachusetts
Mark_Haiman
British mathematician (1930–1989)
on spheres problem. Subsequently he used them to investigate the Adams conjecture, which is concerned (in one instance) with the image of the J-homomorphism
Frank_Adams
Russian mathematician
introduced double affine Hecke algebras, and used them to prove Macdonald's constant term conjecture in (Cherednik 1995). He has also dealt with algebraic geometry
Ivan_Cherednik
Certain family of polynomials
Scützenberger, M.P. "Sur une conjecture de H.O. Foulkes". Comptes Rendus de l'Académie des Sciences, Série A-B. 286 (7): A323–A324. Macdonald, I. G. (1995), Symmetric
Kostka_polynomial
British politician and diplomat
dismissed conjectures on a possible federation, highlighting Brunei's independence and sensitivity. The Secretary of State counselled MacDonald to move
Malcolm_MacDonald
British-Lebanese mathematician (1929–2019)
related paper they showed that the Hodge conjecture for integral cohomology is false. The Hodge conjecture for rational cohomology is, as of 2008, a
Michael_Atiyah
Published papers of Albert Einstein in 1905
reference for which the equations of mechanics hold good. We will raise this conjecture (the purport of which will hereafter be called the "Principle of Relativity")
Annus_mirabilis_papers
American physicist, writer, and Nobel Laureate (born 1940)
all directions. To express this realization, Thorne proposed his hoop conjecture, which describes an imploding star turning into a black hole when the
Kip_Thorne
Old Irish prayer of protection
a conjecture; the meaning is unclear. Carey, King of Mysteries (2000) emends "against the tendencies (?) of nature", Borsje 2008, p. 38 conjectures "against
Saint_Patrick's_Breastplate
Refugee enslaved woman, enslaved by George and Martha Washington
suspicion of her going off, nor no provocation to do so, it is not easy to conjecture whither she has gone, or fully, what her design is; but as she may attempt
Ona_Judge
Casualties of conflict from 2003 to 2011
Associated Press (via The Indian Express). Retrieved September 3, 2010. MacDonald, Alastair (January 2, 2007). "Iraq Civilian Deaths Hit New Record". The
Casualties_of_the_Iraq_War
Australian mathematician
completion theorem in that subject was a major motivation for the Segal conjecture, which he formulated. He has made many other contributions to homotopy
Graeme_Segal
Video-sharing platform
to extremist videos, little systematic evidence exists to support this conjecture", and that such exposure was "heavily concentrated among a small group
YouTube
Dialogue by Plato
octahedron (air), icosahedron (water), and cube (earth). Timaeus makes conjectures on the composition of the four elements which some ancient Greeks thought
Timaeus_(dialogue)
Type of extended musical composition
Bloomsbury Publishing. ISBN 978-1441118455.. Excerpts online at [1]. The conjecture about the child Mozart's three-movement preference is made by Gärtner
Symphony
U.S. state
Florida, as well as other areas. While there has been a great deal of conjecture over the cause of the toxic algae bloom, there is no evidence that it
Florida
Function studied by Ramanujan
whereas for any other number the function yields an even number. Ramanujan conjectured two properties of τ ( n ) {\displaystyle \tau (n)} , which can be rephrased
Ramanujan_tau_function
American writer (1942–2014)
1983 account of the Jeffrey MacDonald murder case, Fatal Vision, became a sensation and has never been out of print. MacDonald sued McGinniss in 1984, alleging
Joe_McGinniss
Algebra in algebraic topology
boundary operators. The Adem relations for p = 2 {\displaystyle p=2} were conjectured by Wen-tsün Wu (1952) and established by José Adem (1952). They are given
Steenrod_algebra
Set of objects whose state must satisfy limits
notably for all CSPs over finite domains. This finite-domain dichotomy conjecture was first formulated by Tomás Feder and Moshe Vardi, and finally proven
Constraint satisfaction problem
Constraint_satisfaction_problem
Withdrawal of the UK from the EU
December 2018. Archived from the original on 26 July 2019. Wilkins, Hannah; Macdonald, Melissa; Johnston, Neil; Kennedy, Steven; Hubble, Susan; Powell, Tom
Brexit
Character from Neon Genesis Evangelion
after Evangelion's success. Perry R. Hinton, an independent researcher, conjectured a negative correlation between connection to real women and erotic attachment
Rei_Ayanami
Swedish-American labor activist (1879–1915)
caused Hill's injury, though frequently speculated upon, remained mostly conjecture for nearly a century. William M. Adler's 2011 biography of Hill presents
Joe_Hill_(activist)
2004 Mark Haiman for "Hilbert schemes, polygraphs, and the Macdonald positivity conjecture", J. Amer. Math. Soc. (2001) 2007 Ivan Shestakov and Ualbai
E. H. Moore Research Article Prize
E._H._Moore_Research_Article_Prize
were crucial in Mark Haiman's proof of the n! theorem and Macdonald positivity conjecture, and were named after Italian mathematician Claudio Procesi
Procesi_bundle
Syllabic script used for writing Mycenaean Greek
symbol combinations appeared only on the tablets found in Crete, he conjectured that these might be names of places on the island. This proved to be
Linear_B
English writer (1881–1975)
your opinion, will the harvest be?' 'One finds it difficult to hazard a conjecture, sir.' 'You mean imagination boggles?' 'Yes, sir.' I inspected my imagination
P._G._Wodehouse
Genus of deciduous conifers in the family Pinaceae
German Lärche, in turn from the Middle High German larche, which is conjectured to derive from an unrecorded Old High German name for the tree, *larihha
Larch
1970 song by George Harrison
remaining musician credits have traditionally been the subject of some conjecture. After consulting German musician Klaus Voormann and orchestral arranger
I'd_Have_You_Anytime
Polyhedron with 6 rhombic and 6 trapezoidal faces
honeycomb Lagarias, Jeffrey C. (2011). "The Kepler conjecture and its proof". The Kepler Conjecture: The Hales–Ferguson proof. Springer, New York. pp. 3–26
Trapezo-rhombic_dodecahedron
in failing to do so paganism laid itself open to centuries of abuse, conjecture or mindless admiration." — Archaeologists Martin Carver, Alex Sanmark
Anglo-Saxon_paganism
Decomposition of an integer as a sum of positive integers
partition is the partition of an even number into primes (see Goldbach's conjecture) Kostant's partition function Andrews 1976, p. 199. Josuat-Vergès, Matthieu
Integer_partition
1794 battle of the War of the First Coalition
Clerfayt's column from the north. Souham and his lieutenants Moreau, Étienne Macdonald, and Jean Reynier devised a counterstroke whereby the divisions of Souham
Battle_of_Tournay_(1794)
uphold. Macdonald, however, bemoaned its adoption. In a letter to Lord Knutsford on the topic of the loss of the use of the word kingdom, Macdonald said:
Name_of_Canada
Seminary, al- comes directly from the Arabic negating particle, لا lā. He conjectures that lā became al- through a process of metathesis. That is to say, the
Arabic_definite_article
1991 cyberpunk original video animation series
make Bubblegum Crash on their own, which ran three OVA episodes and is conjectured that it was a shortened version of how Bubblegum Crisis was to end. Youmex
Bubblegum_Crash
Indigenous responses for survival and resistance during the age of colonialism
Indigenous oppression, such as monuments to Christopher Columbus, John A. Macdonald, and Junipero Serra. Much resistance has also been used to bring Indigenous
Indigenous response to colonialism
Indigenous_response_to_colonialism
Aerial tram line in New York City
delays prompted numerous unfounded rumors about the route, including conjecture that the cabins were involved in collisions or were being secretly run
Roosevelt_Island_Tramway
Cubic graph with 28 vertices and 42 edges
13 known cubic distance-regular graphs. It is named after Harold Scott MacDonald Coxeter. The Coxeter graph has chromatic number 3, chromatic index 3,
Coxeter_graph
Childhood weak bone disorder
the Old English word wrickken ('to twist'), although because this is conjectured, several major dictionaries simply say "origin unknown". The name rickets
Rickets
English playwright and poet (1564–1593)
scholars today owing to a lack of good documentation. There have been many conjectures as to the nature and reason for his death, including a vicious bar-room
Christopher_Marlowe
Benzodiazepine medication
uptake in experimentation on rat brain cell components. This has been conjectured as a mechanism for high-dose effects on seizures in the study. Clonazepam
Clonazepam
Origin of the name of the continents, most likely named after Amerigo Vespucci
corresponding mainland were not part of Asia's eastern outskirts as initially conjectured from Columbus's voyages, but instead constituted an entirely separate
Naming_of_the_Americas
Isogonal polyhedron with regular faces
(1954) published the list of uniform polyhedra. Sopov (1970) proved their conjecture that the list was complete. In 1974, Magnus Wenninger published his book
Uniform_polyhedron
Any type of cheating that occurs in relation to a formal academic exercise
Originality. New York: Harper. ISBN 9780598777218. Young, Edward (1759). Conjectures on Original Composition. Alfrey, Penelope. "Petrarch's Apes: Originality
Academic_dishonesty
Mathematical function
right is ∏ j = 1 n j ! {\displaystyle \prod _{j=1}^{n}j!} . Macdonald (1982) conjectured the following extension of Mehta's integral to all finite root
Selberg_integral
professor of mathematics, solves two long-standing problems, the Height Zero Conjecture and the Deligne-Lusztig theory. Mathematicians believe that it may lead
2024_in_science
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)
mathematician and Copley Medalist, formulator of the Hodge theory and Hodge conjecture, one of the seven Millennium Prize Problems Huang Kun, physicist, co-formulator
List of University of Edinburgh people
List_of_University_of_Edinburgh_people
German nuclear chemist and Nobel laureate (1879–1968)
extracted from a mineral from Ceylon, named Thorianite, and possibly, it is conjectured, the substance which renders thorium radioactive. Its activity is at
Otto_Hahn
Economic competition scenario
displaying short descriptions of redirect targets Pollution haven hypothesis – Conjecture that businesses look for the cheapest option when locating factories abroad
Race_to_the_bottom
a certain extent, the boundaries of David's Cumbrian Principality are conjecture on the basis of the boundaries of the diocese of Glasgow; Oram, David:
David I as Prince of the Cumbrians
David_I_as_Prince_of_the_Cumbrians
Algebraic structure
ISBN 978-0-387-94268-1, MR 1322960 Hochster, Melvin (2007), "Homological conjectures, old and new", Illinois J. Math., 51 (1): 151–169, doi:10.1215/ijm/1258735330
Commutative_ring
American political conspiracy theorist (born 1960)
to make Obama "'prove his innocence' to 'charges' that are based upon conjecture and speculation". Within hours of Land's decision, Taitz told the news
Orly_Taitz
British-Canadian codebreaker and mathematician (1917–2002)
graphs, and Hamiltonian and non-Hamiltonian graphs. He disproved Tait's conjecture, on the Hamiltonicity of polyhedral graphs, by using the construction
W._T._Tutte
German high-ranking Nazi official (1904–1942)
of his officer corps, the importance of Heydrich's part is a matter of conjecture. Soviet military prosecutors did not use SD forged documents against the
Reinhard_Heydrich
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
Scottish philosopher, historian, economist and essayist (1711–1776)
port and cheese, often using them as philosophical metaphors for his conjectures. Despite having noble ancestry, Hume had no source of income and no learned
David_Hume
variety of art forms, and she is the most filmed British monarch. George MacDonald Fraser wrote "no historic figure has been represented more honestly in
Cultural depictions of Elizabeth I
Cultural_depictions_of_Elizabeth_I
Israeli mathematician
of hook shape, and together with William Beckner proved the Macdonald-Selberg conjecture for the infinite Lie algebras of type B, C, and D. Regev, Amitai
Amitai_Regev
Legendary Cornish nobleman
Prince, but who it should be, I cannot devise; albeit, my best pleasing conjecture lighteth upon Orgerius, because his daughter was married to Edgar." Now
Condor_of_Cornwall
Russian mathematician
algebras, and used the Weyl–Kac character formula for them to reprove the Macdonald identities. He classified the finite-dimensional simple Lie superalgebras
Victor_Kac
Chemical compound
Partial oxidation of K4C6O6 affords a green, strongly paramagnetic solid, conjectured to be 3K+·C6O3−6, and complete oxidation yields potassium rhodizonate
Tetrahydroxy-1,4-benzoquinone
English poet and novelist (1749–1806)
Vol. 528. Twayne. ISBN 978-0805770469. Goodman, Kevis (Fall 2014). "Conjectures on Beachy Head: Charlotte Smith's Geological Poetics and the Ground of
Charlotte_Smith_(writer)
queue et son pourpoinct". A 19th-century historian James Anthony Froude conjectured that the "blood-red" costume, the crimson petticoat and kirtle, mentioned
Wardrobe of Mary, Queen of Scots
Wardrobe_of_Mary,_Queen_of_Scots
Function of the Canadian monarchy in Quebec
Hacker, Louis M. (March 1924). "Western Land Hunger and the War of 1812: A Conjecture". Mississippi Valley Historical Review. X (4): 365–395. doi:10.2307/1892931
Monarchy_in_Quebec
Structure in Ring Theory (Mathematics)
R[x] equal to its Jacobson radical?" is equivalent to the open Köthe conjecture. For any ideal I contained in J(R), J(R / I) = J(R) / I. In particular
Jacobson_radical
Painting by Charles Demuth
is used as the cover picture of the novel Uncle Petros and Goldbach's Conjecture (1992). The painting is included in a book 100 Best Paintings in New York
I_Saw_the_Figure_5_in_Gold
Australian mathematician (born 1981)
viewpoints on classical problems, and produced strikingly far-reaching conjectures." Venkatesh's "use of dynamics theory, which studies the equations of
Akshay_Venkatesh
Heirloom of the chiefs of Clan MacLeod
resembling bad carrion. In the morning the two cows were found dead, and conjectured to have been killed by lightning. The same thing however occurred for
Dunvegan_Cup
Trinity 1978 Canada Mathematics professor, helped prove the Atiyah-Jones conjecture Rachel Klevit Reed College St Catherine's 1978 United States Biochemist
List_of_Rhodes_Scholars
Chronology of Canadian city
branch going NE then breaking north to descend the Athabasca River. Some conjecture that the Trail's crossing of the North Saskatchewan River at the site
Timeline_of_Edmonton_history
Triangular array of the binomial coefficients
triangle Multiplicities of entries in Pascal's triangle (Singmaster's conjecture) Pascal matrix Pascal's pyramid Pascal's simplex Proton NMR, one application
Pascal's_triangle
History of Stroud Green, London
from 1898 or earlier, until 1935. It seems reasonable, therefore, to conjecture that this school had moved to Stapleton Hall Road from 175 Stroud Green
History_of_Stroud_Green
Human settlement in Scotland
giant as reputed or had another warrior buried at his feet is open to conjecture! Stagecoach buses connect Kirkmichael with Blairgowrie, Tarvie and Spittal
Kirkmichael, Perth and Kinross
Kirkmichael,_Perth_and_Kinross
scientific context. While theory in colloquial usage may denote a hunch or conjecture, a scientific theory is a set of principles that explains an observable
List of common misconceptions about science, technology, and mathematics
List_of_common_misconceptions_about_science,_technology,_and_mathematics
American artist
Art That Moves: In A Midlife Review of Artist Janet Biggs' Video Work, Conjecture is a Key to Comparison". Tampa Bay News. Tampa, Florida. Retrieved August
Janet_Biggs
Practice of female head covering in Christianity
whatsoever from the writings of the early Church. It is someone's sheer conjecture. Meyers, Carol (10 January 1991). Discovering Eve: Ancient Israelite Women
Head covering for Christian women
Head_covering_for_Christian_women
Indian politician
(4): 566–593. JSTOR 1813311. Swamy, Subramanian (1970). "On Samuelson's Conjecture". Indian Economic Review. 5 (2): 169–175. JSTOR 23294448. Swamy, Subramanian
Subramanian_Swamy
graph is necessarily Hamiltonian. This is a special case of the Lovász conjecture that (with five known exceptions, none of which is zero-symmetric) every
Zero-symmetric_graph
Sunni school of Islamic theology
legal rulings if all revelation were mere conjecture, stating that revelation cannot entirely be based on conjecture. Nicholas Heer writes that later Ash'arite
Ash'arism
American author, journalist and social activist (1876–1916)
sources describe London's death as a suicide, and some still do. This conjecture appears to be a rumor, or speculation based on incidents in his fiction
Jack_London
Triangular decomposition Sturm's theorem Descartes' rule of signs Carlitz–Wan conjecture Polynomial decomposition, factorization under functional composition Delta
List_of_polynomial_topics
Kingdom ruled by the Kalachuris of Raipur
Haihaiyavanshi kings recognized the suzerainty of the Mughal Empire. It has been conjectured that the name Mahakosal, the greater Kosala, was made common for Dakshin
Kingdom_of_Haihaiyavansi
MACDONALD CONJECTURE
MACDONALD CONJECTURE
Boy/Male
Australian, Biblical
That Foretells; That Conjectures
Boy/Male
Arabic, Muslim, Urdu
Intuition; Conjecture; Wisdom
Boy/Male
Scottish
Son of the world's ruler.
Biblical
that foretells; that conjectures
Boy/Male
Scottish
Son of the world's ruler.
Surname or Lastname
English
English : of uncertain derivation. The 18th-century parish registers of Marske, North Yorkshire, record the surname Hartburn with the variant Harburn; Harben may be a further variant of this. If so, its origin is probably topographic or habitational, from East Hartburn in Stockton-on-Tees or Hartburn in Northumberland, both named from Old English heorot ‘hart’ + burna ‘steam’. However, this conjecture is not borne out by the distribution of the surname a century later, when it occurs chiefly in Cambridgeshire and London and also with a significant presence in the Channel Islands, perhaps suggesting that it could be a variant of Harpin.
Boy/Male
Biblical
That foretells, that conjectures.
Boy/Male
Muslim
Intuition, Conjecture, Wisdom
MACDONALD CONJECTURE
MACDONALD CONJECTURE
Surname or Lastname
English
English : unexplained.
Boy/Male
Irish
Small wolf.
Biblical
same as Terah
Boy/Male
Indian, Punjabi, Sanskrit, Sikh
Spiritual Leader
Girl/Female
Tamil
Swasthitha | ஸà¯à®µà®¸à¯à®¤à¯€à®¤à®¾
Auspicious
Girl/Female
Bengali, Indian
Nature's Queen
Boy/Male
Arabic, Muslim
Crown
Biblical
reigning; counseling
Boy/Male
Irish American Celtic Gaelic
A thinker; fiery. Form of Hugh.
Boy/Male
British, English
Sun
MACDONALD CONJECTURE
MACDONALD CONJECTURE
MACDONALD CONJECTURE
MACDONALD CONJECTURE
MACDONALD CONJECTURE
n.
A modification of the father's name borne by the son; a name derived from that of a parent or ancestor; as, Pelides, the son of Peleus; Johnson, the son of John; Macdonald, the son of Donald; Paulowitz, the son of Paul; also, the surname of a family; the family name.
a.
Of the nature of an opinion; conjectured.
n.
A tropical plant (Ananassa sativa); also, its fruit; -- so called from the resemblance of the latter, in shape and external appearance, to the cone of the pine tree. Its origin is unknown, though conjectured to be American.
v. i.
To make conjectures; to surmise; to guess; to infer; to form an opinion; to imagine.
n.
A wrong conjecture or guess.
v. t.
To arrive at by conjecture; to infer on slight evidence; to surmise; to guess; to form, at random, opinions concerning.
n.
An opinionated person; one given to conjecture.
v. t. & i.
To conjecture wrongly.
n.
A part or decoration of the breastplate of the high priest among the ancient Jews, by which Jehovah revealed his will on certain occasions. Its nature has been the subject of conflicting conjectures.
a.
Conjectural; able to conjecture.
n.
A tribe or collection of families, united under a chieftain, regarded as having the same common ancestor, and bearing the same surname; as, the clan of Macdonald.
n.
One who conjectures.
n.
That which is supposed; hypothesis; conjecture; surmise; opinion or belief without sufficient evidence.
v. t.
To imagine without certain knowledge; to infer on slight grounds; to suppose, conjecture, or suspect; to guess.
n.
A thought, imagination, or conjecture, which is based upon feeble or scanty evidence; suspicion; guess; as, the surmisses of jealousy or of envy.
n.
A deity among the ancient Syrians, in honor of whom the Hebrew idolatresses held an annual lamentation. This deity has been conjectured to be the same with the Phoenician Adon, or Adonis.
imp. & p. p.
of Conjecture
n.
Something proposed to be solved by guessing or conjecture; a puzzling question; an ambiguous proposition; an enigma; hence, anything ambiguous or puzzling.
n.
A conclusion to which the mind comes by speculating; mere theory; view; notion; conjecture.
n.
Supposition; hypothesis; conjecture.