2011, ISBN 9781848312388, 242

In 2006, an eccentric Russian mathematician named Grigori Perelman solved one of the world's greatest intellectual puzzles. The Poincare conjecture is an...

Perelman, Grigori | Mathematics | Mathematicians

Perelman, Grigori | Mathematics | Mathematicians

Book

2019, ISBN 9780691182148, 321

eBook

2011, ISBN 9781439834596, x, 422

Book

2007, Clay mathematics monographs, ISBN 0821843281, Volume 3, xlii, 521

Book

2016, 2nd edition., London Mathematical Society lecture note series, ISBN 1316610446, Volume 432, xiv, 192

This in-depth coverage of important areas of graph theory maintains a focus on symmetry properties of graphs. Standard topics on graph automorphisms are...

Graph theory | Reconstruction (Graph theory) | Cayley graphs | Automorphisms

Graph theory | Reconstruction (Graph theory) | Cayley graphs | Automorphisms

Book

2011, Student mathematical library : IAS/Park City mathematical subseries, ISBN 0821852426, Volume 58, xiv, 195

Book

2012, London Mathematical Society lecture note series, ISBN 9780521617703, Volume 400, xiv, 271

"The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar pyramid-shaped...

Sphere packings | Combinatorial packing and covering

Sphere packings | Combinatorial packing and covering

Book

2016, Mathematical surveys and monographs, ISBN 1470424088, Volume 210, xiii, 280

Arithmetic algebraic geometry (Diophantine geometry) | Mordell conjecture | Varieties over global fields | Varieties over finite and local fields | Varieties and morphisms | Curves, Algebraic | Arithmetical algebraic geometry | Arithmetic and non-Archimedean dynamical systems | Polynomials; rational maps; entire and meromorphic functions | Research exposition (monographs, survey articles) | Foundations | Complex dynamical systems | Arithmetic dynamics on general algebraic varieties | Non-Archimedean local ground fields | Dynamical systems and ergodic theory | Algebraic geometry | Number theory | Geometry, Algebraic

Book

Advances in mathematics (New York. 1965), ISSN 0001-8708, 06/2019, Volume 349, pp. 1 - 28

We confirm the Hanna Neumann conjecture for topologically finitely generated closed subgroups U and W of a nonsolvable Demushkin group G. Namely, we show...

Kaplansky conjecture | Demushkin groups | Hanna Neumann conjecture | Pro-p groups | Atiyah conjecture | Physical Sciences | Mathematics | Science & Technology

Kaplansky conjecture | Demushkin groups | Hanna Neumann conjecture | Pro-p groups | Atiyah conjecture | Physical Sciences | Mathematics | Science & Technology

Journal Article

Journal of algebra, ISSN 0021-8693, 03/2014, Volume 401, pp. 13 - 47

The so-called “local–global” conjectures in the representation theory of finite groups relate the representation theory of G to that of certain proper...

Cross characteristic representations | Alperin weight conjecture | Alperin–McKay conjecture | Finite classical groups | Local–global conjectures | McKay conjecture | Local-global conjectures | Alperin-McKay conjecture

Cross characteristic representations | Alperin weight conjecture | Alperin–McKay conjecture | Finite classical groups | Local–global conjectures | McKay conjecture | Local-global conjectures | Alperin-McKay conjecture

Journal Article

Forum Mathematicum, ISSN 0933-7741, 05/2018, Volume 30, Issue 3, pp. 631 - 649

We prove Vojta’s conjecture for some rational surfaces.
Moreover, for similar but different rational surfaces, we show that their Vojta’s conjecture is related...

32H30 | 11J87 | 14J26 | Farey sequences | 11J97 | subspace theorem | 14G40 | 14G25 | Vojta’s conjecture | 11B57 | Griffiths’ conjecture | rational surfaces | Griffiths' conjecture | Vojta's conjecture | abc conjecture | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

32H30 | 11J87 | 14J26 | Farey sequences | 11J97 | subspace theorem | 14G40 | 14G25 | Vojta’s conjecture | 11B57 | Griffiths’ conjecture | rational surfaces | Griffiths' conjecture | Vojta's conjecture | abc conjecture | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

2016, ISBN 0190217014, xviii, 401

This book brings together work on embodiment, action, and the predictive mind. At the core of the treatment is the vision of human minds as prediction...

Uncertainty | Prediction (Logic) | Metacognition | Philosophy of Mind | Philosophy

Uncertainty | Prediction (Logic) | Metacognition | Philosophy of Mind | Philosophy

Book

Issues of analysis, ISSN 2306-3424, 2016, Volume 5, Issue 2, pp. 69 - 78

The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes injectivity of the polynomial mapping f: R^n → R^n (C^n →...

Jacobian conjecture

Jacobian conjecture

Journal Article

Theoretical computer science, ISSN 0304-3975, 2011, Volume 412, Issue 27, pp. 3010 - 3018

Dejean conjectured that the repetition threshold for a
k
-letter alphabet is
k
k
−
1
when
k
≥
5
. Dejean’s conjecture has already been proved for
k
≤
14
and...

Dejean’s conjecture | Infinite word | Threshold repetition | Ochem’s conjecture | Power | Thue–Morse sequence | Dejean's conjecture | ThueMorse sequence | Ochem's conjecture | Computer Science, Theory & Methods | Technology | Computer Science | Science & Technology | Thresholds | Alphabets | Repetition | Proving

Dejean’s conjecture | Infinite word | Threshold repetition | Ochem’s conjecture | Power | Thue–Morse sequence | Dejean's conjecture | ThueMorse sequence | Ochem's conjecture | Computer Science, Theory & Methods | Technology | Computer Science | Science & Technology | Thresholds | Alphabets | Repetition | Proving

Journal Article

Geometriae dedicata, ISSN 0046-5755, 4/2014, Volume 169, Issue 1, pp. 263 - 272

We study biharmonic maps between Riemannian manifolds with finite energy and finite bi-energy. We show that if the domain is complete and the target of...

Geometry | Generalized Chen’s conjecture | Primary 58E20 | Biharmonic map | Secondary 53C43 | Mathematics | Harmonic map | Chen’s conjecture | Chen's conjecture | Generalized Chen's conjecture | Physical Sciences | Science & Technology | Naturvetenskap | Natural Sciences | Matematik

Geometry | Generalized Chen’s conjecture | Primary 58E20 | Biharmonic map | Secondary 53C43 | Mathematics | Harmonic map | Chen’s conjecture | Chen's conjecture | Generalized Chen's conjecture | Physical Sciences | Science & Technology | Naturvetenskap | Natural Sciences | Matematik

Journal Article

2014, 2014, The Western Ontario series in philosophy of science, ISBN 9401787794, Volume 79., xiv, 191

This volume presents a selection of papers from the Poincaré Project of the Center for the Philosophy of Science, University of Lisbon, bringing together an...

Science | Poincaré, Henri, 1854-1912 | Philosophy | Poincaré conjecture | Poincaré, Henri | 1854-1912 | Philosophy of Science | Epistemology | Philosophy of Nature | History of Mathematical Sciences | Religion and Philosophy | Dynamical Systems and Ergodic Theory

Science | Poincaré, Henri, 1854-1912 | Philosophy | Poincaré conjecture | Poincaré, Henri | 1854-1912 | Philosophy of Science | Epistemology | Philosophy of Nature | History of Mathematical Sciences | Religion and Philosophy | Dynamical Systems and Ergodic Theory

Book

Pacific journal of mathematics, ISSN 0030-8730, 2017, Volume 288, Issue 1, pp. 1 - 26

Journal Article

Mechanics of materials, ISSN 0167-6636, 07/2013, Volume 60, pp. 144 - 158

► The study of inclusions is significant for the development of advanced materials. ► Inclusions in an infinite space, half space and finite space are...

Eshelby’s conjecture | Inhomogeneity | Inhomogeneous inclusion | Inclusion | Review | Eshelby's conjecture | Mechanics | Materials Science | Technology | Materials Science, Multidisciplinary | Science & Technology | Aerospace engineering

Eshelby’s conjecture | Inhomogeneity | Inhomogeneous inclusion | Inclusion | Review | Eshelby's conjecture | Mechanics | Materials Science | Technology | Materials Science, Multidisciplinary | Science & Technology | Aerospace engineering

Journal Article