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Periodica Mathematica Hungarica, ISSN 0031-5303, 9/2012, Volume 65, Issue 1, pp. 75 - 81
Let n be a nonzero integer. A set of m distinct positive integers is called a D(n)-m-tuple if the product of any two of them increased by n is a perfect... 
Mathematics, general | Mathematics | Diophantine tuples | 11D09 | 11J68 | simultaneous Diophantine equations | MATHEMATICS | MATHEMATICS, APPLIED | DIOPHANTINE QUINTUPLES | OLD PROBLEM | EULER | FAMILY
Journal Article
Journal of Number Theory, ISSN 0022-314X, 2008, Volume 128, Issue 2, pp. 322 - 353
A set of distinct positive integers is called a Diophantine -tuple if is a square for each . In this paper, we show that for each integer the Diophantine pair... 
Simultaneous Pell equations | Diophantine tuples | MATHEMATICS
Journal Article
Journal Article
by Adamczyk, L and Adams, J.R and Adkins, J.K and Agakishiev, G and Aggarwal, M.M and Ahammed, Z and Ajitanand, N.N and Alekseev, I and Anderson, D.M and Aoyama, R and Aparin, A and Arkhipkin, D and Aschenauer, E.C and Ashraf, M.U and Attri, A and Averichev, G.S and Bai, X and Bairathi, V and Barish, K and Behera, A and Bellwied, R and Bhasin, A and Bhati, A.K and Bhattarai, P and Bielcik, J and Bielcikova, J and Bland, L.C and Bordyuzhin, I.G and Bouchet, J and Brandenburg, J.D and Brandin, A.V and Brown, D and Bunzarov, I and Butterworth, J and Caines, H and Calderón De La Barca Sánchez, M and Campbell, J.M and Cebra, D and Chakaberia, I and Chaloupka, P and Chang, Z and Chankova-Bunzarova, N and Chatterjee, A and Chattopadhyay, S and Chen, X and Chen, J.H and Chen, X and Cheng, J and Cherney, M and Christie, W and Contin, G and Crawford, H.J and Das, S and De Silva, L.C and Dedovich, T.G and Deng, J and Derevschikov, A.A and Didenko, L and Dilks, C and Dong, X and Drachenberg, J.L and Draper, J.E and Dunkelberger, L.E and Dunlop, J.C and Efimov, L.G and Elsey, N and Engelage, J and Eppley, G and Esha, R and Esumi, S and Evdokimov, O and Ewigleben, J and Eyser, O and Fatemi, R and Fazio, S and Federic, P and Federicova, P and Fedorisin, J and Feng, Z and Filip, P and Finch, E and Fisyak, Y and Flores, C.E and Fujita, J and Fulek, L and Gagliardi, C.A and Garand, D and Geurts, F and Gibson, A and Girard, M and Grosnick, D and Gunarathne, D.S and Guo, Y and Gupta, A and Gupta, S and Guryn, W and Hamad, A.I and Hamed, A and Harlenderova, A and Harris, J.W and ... and STAR Collaboration
Physical Review Letters, ISSN 0031-9007, 02/2018, Volume 120, Issue 6
Rapidity-odd directed-flow measurements at midrapidity are presented for Λ, Λ¯, K±, Ks0, and ϕ at sNN=7.7, 11.5, 14.5, 19.6, 27, 39, 62.4, and 200 GeV in Au+Au... 
Nuclear Experiment | Computer Science | Digital Libraries
Journal Article
Food Chemistry, ISSN 0308-8146, 08/2019, Volume 289, pp. 694 - 700
The major allergen of chum salmon ( ) roe is the β′-component (Onc k 5, β′-c), which is a yolk protein and a fragment of vitellogenin. When yolk content... 
Food allergy | β′-Component | Salmon roe | Vitellogenin | Intestinal absorption | Digestibility | beta '-Component | FOOD ALLERGENS | FOOD SCIENCE & TECHNOLOGY | DIGESTION | NUTRITION & DIETETICS | PEPTIDES | ABSORPTION | CHEMISTRY, APPLIED | OVALBUMIN
Journal Article
Mathematische Annalen, ISSN 0025-5831, 03/2018, Volume 373, Issue 3-4, pp. 1 - 20
Assume that a projective variety together with a polarization is uniformly K-stable. If the polarization is canonical or anti-canonical, then the projective... 
MATHEMATICS
Journal Article
Proceedings of the London Mathematical Society, ISSN 0024-6115, 11/2016, Volume 113, Issue 5, pp. 541 - 582
We introduce a new effective stability named ‘divisorial stability’ for Fano manifolds that is weaker than K‐stability and is stronger than slope stability... 
Functions (mathematics) | Stability | Equivalence | Mathematical analysis | Center of gravity | Slope stability | Manifolds (mathematics)
Journal Article
Journal of the Institute of Mathematics of Jussieu, ISSN 1474-7480, 03/2017, Volume 18, Issue 3, pp. 1 - 12
We show that any n-dimensional Fano manifold X with alpha(X) = n/(n+1) and n >= 2 is K-stable, where alpha(X) is the alpha invariant of X introduced by Tian.... 
K-stability | Kähler–Einstein metrics | Fano varieties | MATHEMATICS | LOG CANONICAL THRESHOLDS | LIMITS | VOLUMES | BOUNDS | Kahler-Einstein metrics | COMPLEX-SURFACES | SCALAR CURVATURE | Automorphisms | Invariants
Journal Article
by Adamczyk, L and Adams, JR and Adkins, JK and Agakishiev, G and Aggarwal, MM and Ahammed, Z and Ajitanand, NN and Alekseev, I and Anderson, DM and Aoyama, R and Aparin, A and Arkhipkin, D and Aschenauer, EC and Ashraf, MU and Attri, A and Averichev, GS and Bai, X and Bairathi, V and Barish, K and Behera, A and Bellwied, R and Bhasin, A and Bhati, AK and Bhattarai, P and Bielcik, J and Bielcikova, J and Bland, LC and Bordyuzhin, IG and Bouchet, J and Brandenburg, JD and Brandin, AV and Brown, D and Bunzarov, I and Butterworth, J and Caines, H and Sanchez, MCD and Campbell, JM and Cebra, D and Chakaberia, I and Chaloupka, P and Chang, Z and Chankova-Bunzarova, N and Chatterjee, A and Chattopadhyay, S and Chen, X and Chen, JH and Cheng, J and Cherney, M and Christie, W and Contin, G and Crawford, HJ and Das, S and De Silva, LC and Dedovich, TG and Deng, J and Derevschikov, AA and Didenko, L and Dilks, C and Dong, X and Drachenberg, JL and Draper, JE and Dunkelberger, LE and Dunlop, JC and Efimov, LG and Elsey, N and Engelage, J and Eppley, G and Esha, R and Esumi, S and Evdokimov, O and Ewigleben, J and Eyser, O and Fatemi, R and Fazio, S and Federic, P and Federicova, P and Fedorisin, J and Feng, Z and Filip, P and Finch, E and Fisyak, Y and Flores, CE and Fujita, J and Fulek, L and Gagliardi, CA and Garand, D and Geurts, F and Gibson, A and Girard, M and Grosnick, D and Gunarathne, DS and Guo, Y and Gupta, A and Gupta, S and Guryn, W and Hamad, AI and Hamed, A and Harlenderova, A and Harris, JW and He, L and ... and STAR Collaboration
PHYSICAL REVIEW LETTERS, ISSN 0031-9007, 02/2018, Volume 120, Issue 6
Rapidity-odd directed-flow measurements at midrapidity are presented for Lambda, (Lambda) over bar, K-+/-, K-s(0), and phi at root s(NN) = 7.7, 11.5, 14.5,... 
MODELS | PHYSICS, MULTIDISCIPLINARY | COALESCENCE | SIGNATURE
Journal Article
Cryogenics, ISSN 0011-2275, 07/2017, Volume 85, pp. 1 - 7
REBCO coated conductors are now available from several industrial manufacturers and are expected to be promising conductors for high-field-magnet applications.... 
REBCO coated conductor | High magnetic field | Non-Cu J | Critical current | n-Value | High-temperature superconductor | Non-Cu J(c) | PHYSICS, APPLIED | THERMODYNAMICS | Measurement | Magnetic fields
Journal Article
Science Signaling, ISSN 1945-0877, 04/2012, Volume 5, Issue 218
Journal Article
KYOTO JOURNAL OF MATHEMATICS, ISSN 2156-2261, 06/2019, Volume 59, Issue 2, pp. 399 - 418
We show relationships between uniform K-stability and plt blowups of log Fano pairs. We see that it is enough to evaluate certain invariants defined by volume... 
EXISTENCE | MATHEMATICS | VARIETIES | VOLUMES | METRICS
Journal Article
Periodica Mathematica Hungarica, ISSN 0031-5303, 09/2009, Volume 59, Issue 1, pp. 81 - 98
Let n be a nonzero integer. A set of m distinct positive integers is called a D(n)-m-tuple if the product of any two of them increased by n is a perfect... 
Simultaneous Diophantine equations | Diophantine tuples | MATHEMATICS, APPLIED | PELL EQUATIONS | SIZE | EXTENSIBILITY | K-1 | FAMILY | CONJECTURE | K+1 | MATHEMATICS | TRIPLES | DIOPHANTINE M-TUPLES | simultaneous Diophantine equations | EULER
Journal Article
DISCRETE MATHEMATICS, ISSN 0012-365X, 04/2017, Volume 340, Issue 4, pp. 649 - 654
A graph G is said to be K-1,K-r-free if G does not contain an induced subgraph isomorphic to K-1,K-r. Let k, r, t be integers with k >= 2 and t >= 3. In this... 
MATHEMATICS | Minimum degree | K-1,K-r-free graph | Vertex-disjoint stars | K-1
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 04/2019, Volume 258, pp. 105 - 113
A function is an independent -rainbow dominating function of a graph if is an independent set of and for every vertex with , we have . The independent -rainbow... 
Rainbow domination | Independent rainbow domination | Bipartite graph | MATHEMATICS, APPLIED | 2-RAINBOW DOMINATION | ROMAN DOMINATION | Mathematical functions | Graph theory | Rainbows | Upper bounds
Journal Article
Biochemical and Biophysical Research Communications, ISSN 0006-291X, 07/2012, Volume 424, Issue 1, pp. 136 - 140
Journal Article
Discrete Mathematics, ISSN 0012-365X, 04/2017, Volume 340, Issue 4, p. 649
A graph G is said to be K.sub.1,r-free if G does not contain an induced subgraph isomorphic to K.sub.1,r. Let k,r,t be integers with k[greater than or equal... 
Journal Article
Tohoku Mathematical Journal, ISSN 0040-8735, 12/2018, Volume 70, Issue 4, pp. 511 - 521
We apply a recent theorem of Li and the first author to give some criteria for the K-stability of Fano varieties in terms of anticanonical Q-divisors. First,... 
K-stability | Kähler-Einstein metrics | Fano varieties | MATHEMATICS | LIMITS | BOUNDS | Kahler-Einstein metrics | COMPACT MODULI SPACES | MANIFOLDS | SCALAR CURVATURE
Journal Article