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Advances in Mathematics, ISSN 0001-8708, 12/2017, Volume 322, pp. 940 - 970
Let be a flat local extension of local rings. Lech conjectured around 1960 that there should be a general inequality on the Hilbert–Samuel multiplicities .... 
Hilbert–Kunz multiplicity | Lech's conjecture | Hilbert–Samuel multiplicity | HOMOMORPHISMS | INEQUALITIES | Hilbert-Samuel multiplicity | LOCAL-RINGS | Hilbert-Kunz multiplicity | IDEALS | COUPLES | MATHEMATICS | MODULES | CHOW GROUPS | INTERSECTION MULTIPLICITIES | PROJECTIVE DIMENSION
Journal Article
Journal of Algebra, ISSN 0021-8693, 09/2018, Volume 509, pp. 212 - 239
We define a function, called -multiplicity, that interpolates between Hilbert–Samuel multiplicity and Hilbert–Kunz multiplicity by comparing powers of ideals... 
Commutative algebra | Interpolation | Hilbert–Kunz multiplicity | Positive characteristic | Hilbert–Samuel multiplicity | MATHEMATICS | Hilbert-Samuel multiplicity | Hilbert-Kunz multiplicity
Journal Article
Journal of Politics, ISSN 0022-3816, 2014, Volume 76, Issue 2, pp. 548 - 564
Elites face a daunting coordination problem when contemplating a coup. Citizens, who desire political reform, face a similar coordination problem when... 
POLICY | MULTIPLICITY | INFORMATION | POLITICAL SCIENCE
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 04/2019, Volume 60, Issue 4, p. 41504
In this paper, we consider the existence of positive solution to the Kirchhoff-Schrödinger-Poisson system with strong singularity. By using the variational... 
NONLINEARITIES | PHYSICS, MATHEMATICAL | MULTIPLICITY
Journal Article
1995, Uppsala dissertations from the Faculty of Science and Technology, ISBN 9789155436087, Volume 9., 135
Book
Communications in Algebra, ISSN 0092-7872, 08/2019, Volume 47, Issue 8, pp. 3250 - 3263
The associated Buchsbaum-Rim multiplicities of a module are a descending sequence of non-negative integers. These invariants of a module are a generalization... 
Primary 13H15 | Hilbert-Samuel multiplicity | Buchsbaum-Rim function | Secondary 13P99 | cyclic modules | Buchsbaum-Rim multiplicity | Buchsbaum–Rim function | Buchsbaum–Rim multiplicity | Hilbert–Samuel multiplicity | MATHEMATICS | Integers | Modules
Journal Article
Journal of Algebra, ISSN 0021-8693, 05/2019, Volume 525, pp. 390 - 415
Based on classical results of Rees and on multivariate Hilbert polynomials, we define new mixed multiplicities of two arbitrary ideals in a local ring and use... 
Mixed multiplicity | Segre class | Generalized Samuel multiplicity | Rational normal scroll | Fiber cone | REDUCTIONS | MATHEMATICS | REES-ALGEBRAS | IDEALS | Statistics | Algebra
Journal Article
by Akhunzyanov, R and Alexeev, G.D and Alexeev, M.G and Amoroso, A and Andrieux, V and Anfimov, N.V and Anosov, V and Antoshkin, A and Augsten, K and Augustyniak, W and Austregesilo, A and Azevedo, C.D.R and Badełek, B and Balestra, F and Ball, M and Barth, J and Beck, R and Bedfer, Y and Bernhard, J and Bicker, K and Bielert, E.R and Birsa, R and Bodlak, M and Bordalo, P and Bradamante, F and Bressan, A and Büchele, M and Burtsev, V.E and Capozza, L and Chang, W.-C and Chatterjee, C and Chiosso, M and Chumakov, A.G and Chung, S.-U and Cicuttin, A and Crespo, M.L and Curiel, Q and Dalla Torre, S and Dasgupta, S and Dasgupta, S.S and Denisov, O.Yu and Dhara, L and Donskov, S.V and Doshita, N and Dreisbach, Ch and Dünnweber, W and Dusaev, R.R and Dziewiecki, M and Efremov, A and Eversheim, P.D and Faessler, M and Ferrero, A and Finger, M and Fischer, H and Franco, C and du Fresne von Hohenesche, N and Friedrich, J.M and Frolov, V and Gautheron, F and Gavrichtchouk, O.P and Gerassimov, S and Giarra, J and Gnesi, I and Gorzellik, M and Grasso, A and Gridin, A and Grosse Perdekamp, M and Grube, B and Guskov, A and Hahne, D and Hamar, G and von Harrach, D and Heitz, R and Herrmann, F and Horikawa, N and d'Hose, N and Hsieh, C.-Y and Huber, S and Ishimoto, S and Ivanov, A and Iwata, T and Jary, V and Joosten, R and Jörg, P and Kabuß, E and Kerbizi, A and Ketzer, B and Khaustov, G.V and Khokhlov, Yu.A and Kisselev, Yu and Klein, F and Koivuniemi, J.H and Kolosov, V.N and Kondo, K and Konorov, I and Konstantinov, V.F and Kotzinian, A.M and Kouznetsov, O.M and Kral, Z and Krämer, M and ... and COMPASS Collaboration
Physics Letters B, ISSN 0370-2693, 11/2018, Volume 786, pp. 390 - 398
The over multiplicity ratio is measured in deep-inelastic scattering, for the first time for kaons carrying a large fraction of the virtual-photon energy. The... 
LEADING-ORDER | PHYSICS, NUCLEAR | MODEL | ASTRONOMY & ASTROPHYSICS | DEEP-INELASTIC SCATTERING | PHYSICS, PARTICLES & FIELDS
Journal Article
2002, Mémoires de la SMF, ISBN 9782856291191, Volume 89., 85
Book
Journal of Algebraic Combinatorics, ISSN 0925-9899, 5/2018, Volume 47, Issue 3, pp. 441 - 472
Journal Article
by Sirunyan, Albert M and Tumasyan, Armen and Adam, Wolfgang and Ambrogi, Federico and Asilar, Ece and Bergauer, Thomas and Brandstetter, Johannes and Brondolin, Erica and Dragicevic, Marko and Erö, Janos and Flechl, Martin and Friedl, Markus and Fruehwirth, Rudolf and Ghete, Vasile Mihai and Grossmann, Johannes and Hrubec, Josef and Jeitler, Manfred and König, Axel and Krammer, Natascha and Krätschmer, Ilse and Liko, Dietrich and Madlener, Thomas and Mikulec, Ivan and Pree, Elias and Rad, Navid and Rohringer, Herbert and Schieck, Jochen and Schöfbeck, Robert and Spanring, Markus and Spitzbart, Daniel and Waltenberger, Wolfgang and Wittmann, Johannes and Wulz, Claudia-Elisabeth and Zarucki, Mateusz and Chekhovsky, Vladimir and Mossolov, Vladimir and Suarez Gonzalez, Juan and De Wolf, Eddi A and Di Croce, Davide and Janssen, Xavier and Lauwers, Jasper and Van De Klundert, Merijn and Van Haevermaet, Hans and Van Mechelen, Pierre and Van Remortel, Nick and Abu Zeid, Shimaa and Blekman, Freya and D'Hondt, Jorgen and De Bruyn, Isabelle and De Clercq, Jarne and Deroover, Kevin and Flouris, Giannis and Lontkovskyi, Denys and Lowette, Steven and Moortgat, Seth and Moreels, Lieselotte and Python, Quentin and Skovpen, Kirill and Tavernier, Stefaan and Van Doninck, Walter and Van Mulders, Petra and Van Parijs, Isis and Beghin, Diego and Brun, Hugues and Clerbaux, Barbara and De Lentdecker, Gilles and Delannoy, Hugo and Dorney, Brian and Fasanella, Giuseppe and Favart, Laurent and Goldouzian, Reza and Grebenyuk, Anastasia and Karapostoli, Georgia and Lenzi, Thomas and Luetic, Jelena and Maerschalk, Thierry and Marinov, Andrey and Randle-conde, Aidan and Seva, Tomislav and Starling, Elizabeth and Vander Velde, Catherine and Vanlaer, Pascal and Vannerom, David and Yonamine, Ryo and Zenoni, Florian and Zhang, Fengwangdong and Cimmino, Anna and Cornelis, Tom and Dobur, Didar and Fagot, Alexis and Gul, Muhammad and Khvastunov, Illia and Poyraz, Deniz and Roskas, Christos and Salva Diblen, Sinem and Tytgat, Michael and Verbeke, Willem and Zaganidis, Nicolas and Bakhshiansohi, Hamed and Bondu, Olivier and ...
ISSN 1029-8479, 2018
Journal Article
1988, Studies in high energy physics, ISBN 3718648091, Volume 6, xviii, 339
Book
by Sirunyan, A.M and Tumasyan, A and Adam, W and Ambrogi, F and Asilar, E and Bergauer, T and Brandstetter, J and Dragicevic, M and Erö, J and Escalante Del Valle, A and Flechl, M and Frühwirth, R and Ghete, V.M and Hrubec, J and Jeitler, M and Krammer, M and Krammer, N and Krätschmer, I and Liko, D and Madlener, T and Mikulec, I and Rad, N and Rohringer, H and Schieck, J and Schöfbeck, R and Spanring, M and Spitzbart, D and Taurok, A and Waltenberger, W and Wittmann, J and Wulz, C.-E and Zarucki, M and Chekhovsky, V and Mossolov, V and Suarez Gonzalez, J and De Wolf, E.A and Di Croce, D and Janssen, X and Lauwers, J and Pieters, M and Van Haevermaet, H and Van Mechelen, P and Van Remortel, N and Abu Zeid, S and Blekman, F and D'Hondt, J and De Bruyn, I and De Clercq, J and Deroover, K and Flouris, G and Lontkovskyi, D and Lowette, S and Marchesini, I and Moortgat, S and Moortgat, F and Moreels, L and Python, Q and Skovpen, K and Skovpen, Y and Tavernier, S and Van Doninck, W and Van Mulders, P and Van Parijs, I and Beghin, D and Bilin, B and Brun, H and Clerbaux, B and De Lentdecker, G and Delannoy, A.G and Delannoy, H and Dorney, B and Fasanella, D and Fasanella, G and Favart, L and Goldouzian, R and Grebenyuk, A and Kalsi, A.K and Lenzi, P and Lenzi, T and Luetic, J and Postiau, N and Starling, E and Thomas, S and Thomas, L and Vander Velde, C and Vanlaer, P and Vannerom, D and Wang, H and Wang, B and Wang, Q and Wang, F and Wang, S and Wang, D and Wang, X and Wang, M and Wang, T.W and Wang, J and Wang, L and Wang, Y and Wang, Z and ...
Physics Letters B, ISSN 0370-2693, 12/2019, Volume 799, p. 135049
Measurements of the pseudorapidity distributions of charged hadrons produced in xenon-xenon collisions at a nucleon-nucleon centre-of-mass energy of are... 
Xenon-xenon | Hadrons | CMS | Spectra | Multiplicity | Physics
Journal Article
Physical Review C - Nuclear Physics, ISSN 0556-2813, 03/2012, Volume 85, Issue 3
Multiplicity fluctuations at midrapidity in pp collisions at high energies are described by a negative binomial distribution and exhibit approximate... 
ELLIPTIC-FLOW | PHYSICS, NUCLEAR | ENERGY | MULTIPLICITY DISTRIBUTIONS
Journal Article
Journal Article
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