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Unsolved problem in graph theory
More unsolved problems in mathematics In mathematics, the Oberwolfach problem is an open problem that may be formulated either as a problem of scheduling
Oberwolfach_problem
The Lovász conjecture on Hamiltonian paths in symmetric graphs The Oberwolfach problem on which 2-regular graphs have the property that a complete graph
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Combinatorics problem proposed by Thomas Penyngton Kirkman
also generalizes Kirkman's schoolgirl problem. Kirkman's problem is the special case of the Oberwolfach problem in which the 2-regular graph consists
Kirkman's_schoolgirl_problem
Assignment problem in combinatorial mathematics
problem, showing that the number of different matchings is 1, 2, 5, 20, 87, 616, 4843, 44128, 444621, ... (sequence A002484 in the OEIS). Oberwolfach
Ménage_problem
Non-eliminating tournament format, without playing every competitor
Laura (2020). "A Greedy Algorithm for the Social Golfer and the Oberwolfach Problem". arXiv:2007.10704 [cs.DM]. NASPA Director Manual (PDF). Dallas,
Swiss-system_tournament
Decomposition of a graph into hamiltonion cycles
Hamiltonian decomposition. This result, which is a special case of the Oberwolfach problem of decomposing complete graphs into isomorphic 2-factors, was attributed
Hamiltonian_decomposition
Solved conjecture in graph theory
conjecture was also proven by Bryant, Horsley, and Pettersson. The Oberwolfach problem on decompositions of complete graphs into copies of a given 2-regular
Alspach's_conjecture
Partition of a graph into spanning subgraphs
include disjoint unions of odd cycles, or of copies of K2k+1. The Oberwolfach problem concerns the existence of 2-factorizations of complete graphs into
Graph_factorization
Geometry problem on grid points
(1989). "No-three-in-line for seventeen and nineteen". Proceedings of the Oberwolfach Meeting "Kombinatorik" (1986). Discrete Mathematics. 73 (1–2): 89–90
No-three-in-line_problem
Fifteen problems in mathematical physic
Simon, Barry (1984). "Fifteen problems in mathematical physics". Perspectives in Mathematics: Anniversary of Oberwolfach 1984 (PDF). Birkhäuser. pp. 423–454
Simon_problems
1990 book by Gerhard Ringel and Nora Hartsfield
problems such as the Oberwolfach problem on covering complete graphs by cycles, the characterization of magic graphs, and Ringel's Earth–Moon problem
Pearls_in_Graph_Theory
number of transversals of a Latin square is also an open problem. H. J. Ryser conjectured (Oberwolfach, 1967) that every Latin square of odd order has one
Problems_in_Latin_squares
Method of determining a location
(ed.), From China to Paris, Proceedings of a conference held July, 1997, Mathematisches Forschungsinstitut Oberwolfach, Germany. ISBN 3-515-08223-9.
Triangulation
value 1. Oberwolfach problem, a different mathematical problem involving the arrangement of diners at tables Problème des ménages, a similar problem involving
Rencontres_numbers
submanifolds, Tagungsbericht (1969), Mathematisches Forschungsinstitut Oberwolfach S.-S. Chern, Differential geometry, its past and its future, Actes du
Spherical_Bernstein's_problem
Ukrainian mathematician (born 1984)
sphere-packing problem in dimension 8. Her dimension 8 solution quickly led to collaboration with others, and a solution in dimension 24. Previously, the problem had
Maryna_Viazovska
British mathematician (1927–2016)
Retired Faculty Archived 2 April 2012 at the Wayback Machine, University of East Anglia School of Mathematics, accessed 2011-10-09. Photo from Oberwolfach
Geoffrey_Colin_Shephard
Unsolved problem in topology
Conjecture 1993 Oberwolfach Conference Proceedings, Volume 1 Novikov Conjecture 1993 Oberwolfach Conference Proceedings, Volume 2 2004 Oberwolfach Seminar notes
Novikov_conjecture
German mathematician (1911–1988)
also served as the director of the Mathematical Research Institute of Oberwolfach from 1959 to 1963. His doctoral students include H. P. Schlickewei. Einführung
Theodor_Schneider
German mathematician (1910–1990)
Lothar Collatz (German), Numerical treatment of eigenvalue problems, vol. 5, Oberwolfach, 1990 (Birkhäuser, Basel, 1991), viii–ix. I Althoefer, Lothar
Lothar_Collatz
Type theory in logic and mathematics
Interpretation of Constructive Type Theory" (PDF). Oberwolfach Reports. 8. Mathematical Research Institute of Oberwolfach: 609–638. doi:10.4171/OWR/2011/11. Retrieved
Homotopy_type_theory
Hypothetical topological feature of spacetime
– Zeit – Materie and a General Introduction to His Scientific Work. Oberwolfach Seminars. Vol. 30. Springer. p. 199. ISBN 978-3-7643-6476-2. "Hermann
Wormhole
Retrieved 2023-06-08. "John Todd Award". MFO. Retrieved 2025-12-16. "Oberwolfach Prize". MFO. Retrieved 2023-06-08. "LMS-NZMS Forder and Aitken Lectureships
List_of_mathematics_awards
German-American mathematician
"Editorial Board | Annals of Mathematics". Retrieved March 25, 2024. Helmut Hofer at the Mathematics Genealogy Project Oberwolfach photos of Helmut Hofer
Helmut_Hofer
Distance function defined between probability distributions
with help from optimal transport". Snapshots of Modern Mathematics from Oberwolfach. doi:10.14760/SNAP-2022-004-EN. Oizumi, Masafumi; Albantakis, Larissa;
Wasserstein_metric
Brazilian mathematician (born 1979)
Martini Problem" (PDF) (in Portuguese). Avila, Artur; Jitomirskaya, Svetlana (2005). "Solving the Ten Martini Problem". The Ten Martini Problem. Lecture
Artur_Avila
Algorithmic process of solving equations
Bledsoe, Michael M. Richter (ed.). Proc. Theorem Proving Workshop Oberwolfach. Oberwolfach Workshop Report. Vol. 1976/3. M. Venturini-Zilli (Oct 1975). "Complexity
Unification (computer science)
Unification_(computer_science)
Vietnamese math professor (born 1972)
Gérard Laumon's proof of the Fundamental Lemma for unitary groups. The Oberwolfach Prize 2007 is awarded to Ngo Bao Chau (Laudatio by Prof. Rapoport)
Ngô_Bảo_Châu
Concept in algebraic geometry
"Seventeen obstacles for resolution of singularities", Singularities (Oberwolfach, 1996), Progr. Math., vol. 162, Basel, Boston, Berlin: Birkhäuser, pp
Resolution_of_singularities
German mathematician
Hans Triebel in 1986. He was awarded the EMS Prize in 1992, and the Oberwolfach Prize in 1993. In recent years, Franke worked on an implementation of
Jens_Franke
German mathematician
Wilhelm Süss in the founding of the Mathematical Research Institute of Oberwolfach and served as the director of the institute from 1958 to 1959. He was
Hellmuth_Kneser
Shape that blocks all lines of sight
Losonczi, Laszlo; Walter, Wolfgang (eds.), General inequalities, 7 (Oberwolfach, 1995), International Series of Numerical Mathematics, vol. 123, Basel:
Opaque_set
French mathematician
Mathematical Physics 2015 Peccot Lectures at the Collège de France 2013 Oberwolfach Prize 2012 Rollo Davidson Prize (with Vincent Beffara [de; fr]) 2012
Hugo_Duminil-Copin
American mathematician
Michael A. "Mike" Hill at Oberwolfach in 2014 Alma mater Massachusetts Institute of Technology Known for Kervaire invariant problem Awards Veblen Prize (2022)
Mike_Hill_(mathematician)
Method of data interpolation and smoothing
pp 85–100, In: Constructive Theory of Functions of Several Variables, Oberwolfach 1976, W. Schempp and K. Zeller, eds., Lecture Notes in Math., Vol. 571
Thin_plate_spline
Armenian mathematician (born 1941)
Geometric Statistics, Stereology” (Proceedings of the Conference held at Oberwolfach, 1983). Teubner - Texte zur Mathematik, Band 65, Leipzig 1983 “Stochastic
Rouben_V._Ambartzumian
Theoretical computer scientist
on improving the approximation ratio for graph separators and related problems from O ( log n ) {\displaystyle O(\log n)} to O ( log n ) {\displaystyle
Sanjeev Arora (computer scientist)
Sanjeev_Arora_(computer_scientist)
Swiss mathematician and theoretical physicist
Jürg Fröhlich Fröhlich at Oberwolfach, 2005 Born Jürg Martin Fröhlich (1946-07-04) 4 July 1946 (age 79) Schaffhausen, Switzerland Alma mater ETH Zurich
Jürg_Fröhlich
American mathematician (born 1934)
Hanspeter Kraft & Reinhold Remmert: Duration and change : fifty years at Oberwolfach. Berlin; New York: Springer-Verlag. 1994. Biography portal Mathematics
Michael_Artin
Russian mathematician (born 1936)
the site of Steklov Mathematical Institute Yuri Burago at the Mathematics Genealogy Project Yuri Dmitrievich Burago in the Oberwolfach Photo Collection
Yuri_Burago
American mathematician and philosopher (1937–2023)
category of categories and was influenced by Pierre Gabriel's seminars at Oberwolfach on Grothendieck's foundations of algebraic geometry. He then taught at
William_Lawvere
Pseudolines arranged largely to study arrangements of lines
(eds.), On Heuristic Methods for Finding Realizations of Surfaces, Oberwolfach Seminars, vol. 38, Basel, Switzerland: Birkhäuser Verlag, pp. 255–260
Arrangement_of_pseudolines
Ugandan Social Media influencer / blogger born 1995 in mbarara town
Differentialgeometrie im Großen, volume 4 (1971), Mathematisches Forschungsinstitut Oberwolfach, pp. 43–60 S.S. Chern, M. do Carmo and S. Kobayashi, Minimal submanifolds
Chern's conjecture for hypersurfaces in spheres
Chern's_conjecture_for_hypersurfaces_in_spheres
233–234. Matthias Kreck, and Wolfgang Lück, The Novikov conjecture. Geometry and algebra. Oberwolfach Seminars, 33. Birkhäuser Verlag, Basel, 2005.
Borel_conjecture
German mathematician (1885–1955)
– Zeit – Materie and a General Introduction to his Scientific Work (Oberwolfach Seminars) (ISBN 3-7643-6476-9) Springer-Verlag New York, New York, N
Hermann_Weyl
German mathematician (1930–2011)
Monthly. 110 (2): 167–171. doi:10.2307/3647794. JSTOR 3647794. Hans Grauert at the Mathematics Genealogy Project photo of Hans Grauert at Oberwolfach v t e
Hans_Grauert
German applied mathematician and theoretical computer scientist
algorithms for combinatorial optimization problems including the travelling salesperson problem and the Steiner tree problem. She is an associate professor at
Vera_Traub
Problem of the derivative of the mean value integral
"Differentiation of measures on Hilbert spaces". Measure theory, Oberwolfach 1981 (Oberwolfach, 1981). Lecture Notes in Mathematics. Vol. 945. Berlin: Springer
Differentiation_of_integrals
Belgian-American mathematician
the semidefinite programming approximation algorithm for the maximum cut problem. In 2012 Goemans was awarded the Farkas Prize. In 2022 he received the
Michel_Goemans
Type of set in mathematics
Turetsky, "K-Triviality, Oberwolfach Randomness, and Differentiability", Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach Preprints (OWP), ISSN 1864-7596
K-trivial_set
German mathematician (1882–1935)
Collections Photographs of Noether — Oberwolfach Photo Collection of the Mathematisches Forschungsinstitut Oberwolfach Photographs of Noether's colleagues
Emmy_Noether
Commutative group (mathematics)
Proceedings of the Third Conference Held on Abelian Group Theory at Oberwolfach, August 11-17, 1985 (New York: Gordon & Breach, 1987), pp. 259–274. Lal
Abelian_group
German mathematician and historian of mathematics
values of L-functions, Academic Press, Boston 1988, ISBN 0-12-581120-9 (Oberwolfach-Tagung; Perspectives in Mathematics 4); 2014 reprint as editor, with
Norbert_Schappacher
Mathematics for a general audience
und Kunst [de], Freiberg MiMa Mineralien- und Mathematikmuseum [de], Oberwolfach In Italy: The Garden of Archimedes Kissane, Barry (2009). Popular Mathematics
Popular_mathematics
Chinese mathematician (born 1958)
by Tian in 1990, claiming a complete resolution of the Kähler-Einstein problem in that context.[T90b] The main technique was to study the possible geometric
Tian_Gang
Method of smoothing using a spline function
pp 85–100, In: Constructive Theory of Functions of Several Variables, Oberwolfach 1976, W. Schempp and K. Zeller, eds., Lecture Notes in Math., Vol. 571
Smoothing_spline
French mathematician (born 1959)
Benoit Perthame Perthame at Oberwolfach, 2006 Born (1959-06-23) 23 June 1959 (age 66) Alma mater Paris Dauphine University Scientific career Fields Mathematics
Benoit_Perthame
Game of finding cycles on a dodecahedron
Tibor (2014), "Chapter 6: The Hamiltonicity game", Positional Games, Oberwolfach Seminars, vol. 44, Basel: Birkhäuser / Springer, pp. 75–84, doi:10
Icosian_game
Canadian mathematician
of Cambridge. Sahasrabudhe's work covers many topics such as Littlewood problems on polynomials, probability and geometry of polynomials, arithmetic Ramsey
Julian_Sahasrabudhe
French mathematician (born 1958)
Saloff-Coste works in the areas of analysis and probability theory, including problems involving geometry and partial differential equations. In particular, he
Laurent_Saloff-Coste
French mathematician
(1982). "Existence and non-existence results for semilinear elliptic problems in unbounded domains". Proceedings of the Royal Society of Edinburgh. Section
María_J._Esteban
German mathematician
asymptotic distribution of Galois groups of number fields, and with the inverse problem of Galois theory. In 1993 he began a collaboration with Michel Broué and
Gunter_Malle
Models of computation
Hilbert's Tenth Problem, Mazur's Conjecture and Divisibility Sequences (PDF). MFO Report. Vol. 3. Mathematisches Forschungsinstitut Oberwolfach. p. 2. Nayebi
Hypercomputation
German mathematician
discrete geometry using analytic methods particularly for his solution of old problems of Perles and Shephard (going back to Legendre and Steinitz) on projectively
Karim_Adiprasito
Study of systems of inequalitites
Mikhalkin, Grigory; Shustin, Eugenii (2007). Tropical algebraic geometry. Oberwolfach Seminars. Vol. 35. Basel: Birkhäuser. pp. 34–35. ISBN 978-3-7643-8309-1
Real_algebraic_geometry
Russian-American mathematician
MAA distinguished teaching award, University of Washington Department of Mathematics Home page Julia Pevtsova at the Oberwolfach Photo Collection v t e
Julia_Pevtsova
German mathematician
Schoen), a fundamental problem in global differential geometry. In 2012, he proved the Hsiang–Lawson's conjecture, a longstanding problem in minimal surface
Simon_Brendle
American mathematician (1941–2025)
Infinite dimensional Kähler Manifolds, Birkhäuser 2001 (DMV Seminar Oberwolfach 1995) as editor with Fabrizio Catanese, Hélène Esnault, Klaus Hulek,
Alan_Huckleberry
Mathematician and computer scientist
and a monograph on the Steiner tree problem: Prömel, Hans Jürgen; Steger, Angelika (2002). The Steiner Tree Problem : a Tour through Graphs, Algorithms
Angelika_Steger
Soviet and Russian mathematician
Wadim Zudilin. Nesterenko, Y. (1996). "Modular Functions and Transcendence Problems". Comptes Rendus de l'Académie des Sciences, Série I. 322 (10): 909–914
Yuri Nesterenko (mathematician)
Yuri_Nesterenko_(mathematician)
Romanian mathematician
field of commutative algebra concerns both theoretical and computational problems. She has an interest in algebraic geometry, in particular in how it can
Alexandra_Seceleanu
Spanish mathematician
He solved the problem of A. G. Vitushkin about the semi-additivity of analytic capacity. This enabled him to solve an even older problem of Paul Painlevé
Xavier_Tolsa
American mathematician
Orders and their applications: Proceedings of a conference held in Oberwolfach, West Germany, June 3-9, 1984, Lecture Notes in Mathematics, Springer-Verlag
Irving_Reiner
German mathematician
and Differential topology. From 1994 to 2002 he was director of the Oberwolfach Research Institute for Mathematics and from October 2006 to September
Matthias_Kreck
Swiss mathematician and theoretical computer scientist
theory at the 2005, 2008 and 2011 workshops and in the 2009 and 2012 Oberwolfach workshops. He was elected a Fellow of the American Mathematical Society
Peter_Bürgisser
Soviet and American mathematician and computer scientist
König, H.; Korte, B.; Ritter, K. (eds.). Mathematical Programming at Oberwolfach. Mathematical Programming Studies. Vol. 14. pp. 61–68. doi:10.1007/BFb0120921
Leonid_Khachiyan
Mathematical conjecture
Ghosh, A.; Yager, R.I. (eds.). Analytic number theory and Diophantine problems. Progress in Mathematics. Vol. 70. Birkhäuser Boston. pp. 183–203. doi:10
Montgomery's pair correlation conjecture
Montgomery's_pair_correlation_conjecture
Romanian-American mathematician (1935–2025)
mathematicians who were very active in this area. One of the two problems that she raised at the Oberwolfach meeting on "Measure Theory" in 1981, was the question
Alexandra_Bellow
Russian mathematician
ISBN 978-1402075537. Nesterov, Y (1983). "A method for unconstrained convex minimization problem with the rate of convergence O ( 1 / k 2 ) {\displaystyle O(1/k^{2})} "
Yurii_Nesterov
American mathematician
along with Nets Katz, found a solution to the Erdős distinct distances problem. His interests include the Kakeya conjecture and the systolic inequality
Larry_Guth
German mathematician (born 1944)
Odifreddi, Piergiorgio (2006). The Mathematical Century: The 30 Greatest Problems of the Last 100 years. Princeton University Press. p. 87. ISBN 0-691-12805-7
Gerhard_Frey_(mathematician)
Austrian mathematician
Differentialgleichungen (A contribution to the numerical treatment of boundary value problems of ordinary differential equations). He taught in Innsbruck and from 1973
Gerhard_Wanner
American statistician
James O. Berger Berger at the Oberwolfach Research Institute for Mathematics in 2005 Born James Orvis Berger (1950-04-06) 6 April 1950 (age 76) Minneapolis
James_O._Berger
Dutch statistician
Mathematical Research Institute of Oberwolfach. Retrieved 3 June 2019. "Sara van de Geer: member of the Oberwolfach Scientific Committee". math.ethz.ch
Sara_van_de_Geer
Polish mathematician
Illinois at Urbana-Champaign on the basis of his dissertation titled Extremal Problems In Pseudo-random Graphs And Asymptotic Enumeration and written under the
Wojciech_Samotij
Mathematical society
Statistics and Learning Memoirs of the European Mathematical Society Oberwolfach Reports Portugaliae Mathematica Publications of the Research Institute
European_Mathematical_Society
German computer science research center
Merzig-Wadern, Saarland. Following the model of the mathematical center at Oberwolfach, the center is installed in a very remote and relaxed location in the
Dagstuhl
German mathematician
Natterer, Frank; Oberwolfach, Mathematisches Forschungsinstitut (1991). Mathematical Methods in Tomography. Proceedings Conference, Oberwolfach, 1990 by Alfred
Frank_Natterer
American mathematician
C^{0}} interior penalty methods for fourth order elliptic boundary value problems on polygonal domains. J. Sci. Comput. 22/23 (2005), 83–118. Korn's inequalities
Susanne_Brenner
Swiss mathematical physicist (born 1944)
mathematical photo collection of the Mathematical Research Institute of Oberwolfach, retrieved 2011-04-30. Jean-Pierre Eckmann at the Mathematics Genealogy
Jean-Pierre_Eckmann
Indian-American computer scientist (born 1966)
Efficient Checking of Polynomials and Proofs and the Hardness of Approximation Problems. He was a research staff member at the IBM Thomas J. Watson Research Center
Madhu_Sudan
Japanese mathematical physicist
statistical mechanics, quantum information theory, and the quantum many-body problem. She is a professor of mathematics at the Research Institute for Mathematical
Yoshiko_Ogata
American mathematical physicist
Yngvason, Jakob. The mathematics of the Bose gas and its condensation. Oberwolfach Seminars, 34. Birkhäuser Verlag, Basel, 2005. viii+203 pp. ISBN 978-3-7643-7336-8;
Elliott_H._Lieb
Vietnamese-American mathematician
of Math. 178 (2013), 1135 – 1171 (with Gabriel Navarro) 2011: "Waring problem for finite simple groups", Ann. of Math. 174 (2011), 1885 – 1950 (with
Pham_Huu_Tiep
Multiplication algorithm
constant factors which make it impossibly slow for any conceivable practical problem (see galactic algorithm). Applications of the Schönhage–Strassen algorithm
Schönhage–Strassen_algorithm
Steinach 7833 Hornberg, Gutach (Schwarzwaldbahn) 7834 Wolfach, Hausach, Oberwolfach, Schiltach 7835 Zell am Harmersbach, Biberach (Baden) 7836 Schiltach
List of dialling codes in Germany
List_of_dialling_codes_in_Germany
German mathematician and professor
Stefan Turek: Hemodynamical Flows: Modeling, Analysis and Simulation (Oberwolfach Seminars), Birkhäuser 2007 Rolf Rannacher at the Mathematics Genealogy
Rolf_Rannacher
British mathematical physicist
development techniques, renormalization group methods on problems of static mechanics, and probabilistic problems. In 1985 he and Thomas C. Spencer introduced "lace
David_Brydges
Non-convex polyhedron with no triangulation
P.; Sullivan, J. M.; et al. (eds.), Discrete Differential Geometry, Oberwolfach Seminars, vol. 38, Springer-Verlag, pp. 191–213, arXiv:math/0412093,
Schönhardt_polyhedron
German mathematician (1940–2021)
Representations and Applications: Proceedings of a Conference Held at Oberwolfach, Germany, June 22-28, 1980. Springer. ISBN 978-3-540-10880-1. book table
Klaus_Wilhelm_Roggenkamp
OBERWOLFACH PROBLEM
OBERWOLFACH PROBLEM
Boy/Male
Hindu, Indian
Problem
Boy/Male
Indian, Tamil
People with this Name are Preferably Intelligent and Very Generous; Highly Knowledgeable in Problem Solving Skills
Boy/Male
Muslim
Problem solver
Girl/Female
Muslim/Islamic
Away from all Problems
Girl/Female
Indian, Telugu
Destroyer of Problems
Boy/Male
Arabic, Indian, Muslim
Problem Solver
Girl/Female
Bengali, Indian
Eternity; Problem Solver
OBERWOLFACH PROBLEM
OBERWOLFACH PROBLEM
Boy/Male
Tamil
Agreed, Respected
Boy/Male
Latin Italian
Warring.
Boy/Male
British, English
Old Leader
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
Subject
Boy/Male
Arabic, Muslim
Forgiver
Boy/Male
American, Australian, Dutch, German, Norwegian, Scandinavian
Bear; Courageous
Boy/Male
Muslim/Islamic
One has many followers
Boy/Male
Sikh
Love for naam, One who loves the lords being
Male
Serbian
(Јован) Serbian form of Greek Ioannes (Latin Johannes), JOVAN means "God is gracious."
Male
Native American
Native American Navajo name GAAGII means "raven."
OBERWOLFACH PROBLEM
OBERWOLFACH PROBLEM
OBERWOLFACH PROBLEM
OBERWOLFACH PROBLEM
OBERWOLFACH PROBLEM
a.
Single; not complex; not infolded or entangled; uncombined; not compounded; not blended with something else; not complicated; as, a simple substance; a simple idea; a simple sound; a simple machine; a simple problem; simple tasks.
a.
Alt. of Problematical
n.
To begin to deal with; as, to tackle the problem.
n.
A certain function relating to a system of forces and their points of application, -- first used by Clausius in the investigation of problems in molecular physics.
n.
To cause to stick; to bring to a stand; to pose; to puzzle; as, to stick one with a hard problem.
n.
The act of solving, or the state of being solved; the disentanglement of any intricate problem or difficult question; explanation; clearing up; -- used especially in mathematics, either of the process of solving an equation or problem, or the result of the process.
v. t.
To propose problems.
a.
Questionable; equivocal; indefinite; problematical.
v. t.
To have just and adequate ideas of; to apprehended the meaning or intention of; to have knowledge of; to comprehend; to know; as, to understand a problem in Euclid; to understand a proposition or a declaration; the court understands the advocate or his argument; to understand the sacred oracles; to understand a nod or a wink.
v. i.
To work, as at a puzzle; as, to puzzle over a problem.
n.
A problem of more than usual difficulty added to another on an examination paper.
a.
Liable to question; subject to be doubted or called in question; problematical; doubtful; suspicious.
a.
Having the nature of a problem; not shown in fact; questionable; uncertain; unsettled; doubtful.
v. t.
To explain; to resolve; to unfold; to clear up (what is obscure or difficult to be understood); to work out to a result or conclusion; as, to solve a doubt; to solve difficulties; to solve a problem.
n.
One who proposes problems.
a.
Susceptible of being solved; as, a soluble algebraic problem; susceptible of being disentangled, unraveled, or explained; as, the mystery is perhaps soluble.
n.
The quality, condition, or degree of being soluble or solvable; as, the solubility of a salt; the solubility of a problem or intricate difficulty.
n.
An instrument of the ancients for finding two mean proportionals between two given lines, required in solving the problem of the duplication of the cube.
n.
A problem to be solved, or an example to be wrought out.
n.
The quality or state of being solvable; as, the solvability of a difficulty; the solvability of a problem.