Results 31 to 40 of about 6,894 (255)

Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with SO(4)

open access: yesOpen Mathematics, 2017
In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated ...
Zhang Jian, Zhang Chiping, Cui Yunan
doaj   +1 more source

ON SOME PROPERTIES OF UNBOUNDED BILINEAR FORMS ASSOCIATED WITH SKEW-SYMMETRIC L2(Ω)-MATRICES

open access: yesVìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013
We study the bilinear forms on the space of measurable square-integrable functionswhich are generated by skew-symmetric matrices with unbounded coecients.We show that in the case when a skew-symmetric matrix contains L2-elements, the corresponding ...
P. I. Kogut
doaj   +1 more source

A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity

open access: yesLinear Algebra and its Applications, 2004
Many problems in systems and control theory require the solution of Sylvester's equation \(AX-YB=C\) or of its generalization \((*)\) \(AXB+CYD=E\). The author studies the couple of matrix equations \((**)\) \(A_1XB_1=C_1,A_2XB_2=C_2\) over an arbitrary regular ring with identity.
openaire   +2 more sources

Duality in non-Hermitian random matrix theory

open access: yesNuclear Physics B
We consider 9 Gaussian matrix ensembles characterized by single symmetry among the 38-fold symmetry classification classes of non-Hermitian random matrices, and establish exact duality formulae of certain observables between them.
Dang-Zheng Liu, Lu Zhang
doaj   +1 more source

An explicit construction of the dimension-9 operator basis in the standard model effective field theory

open access: yesJournal of High Energy Physics, 2020
We investigate systematically dimension-9 operators in the standard model effective field theory which contains only standard model fields and respects its gauge symmetry. With the help of the Hilbert series approach to classifying operators according to
Yi Liao, Xiao-Dong Ma
doaj   +1 more source

Matrix method for balancing chemical equations of few ‎significant inorganic reactions

open access: yesInternational Journal of Basic and Applied Sciences
Balancing chemical equations provides a unified framework on understanding and quantifying chemical reactions, making it a fundamental ‎tool in chemistry.
Gitalee Sharma   +2 more
semanticscholar   +1 more source

An algebraic approach to the scattering equations [PDF]

open access: yesJournal of High Energy Physics, 2015
We employ the so-called companion matrix method from computational algebraic geometry, tailored for zero-dimensional ideals, to study the scattering equations.
Rijun Huang   +3 more
semanticscholar   +1 more source

Fuzzified Matrix Space and Solvability of Matrix Equations

open access: yesAxioms
A fuzzified matrix space consists of a collection of matrices with a fuzzy structure, modeling the cases of uncertainty on the part of values of different matrices, including the uncertainty of the very existence of matrices with the given values.
Vanja Stepanović, Andreja Tepavčević
doaj   +1 more source

On generalized Melvin solution for the Lie algebra $$E_6$$ E6

open access: yesEuropean Physical Journal C: Particles and Fields, 2017
A multidimensional generalization of Melvin’s solution for an arbitrary simple Lie algebra $${\mathcal {G}}$$ G is considered. The gravitational model in D dimensions, $$D \ge 4$$ D≥4 , contains n 2-forms and $$l \ge n$$ l≥n scalar fields, where n is the
S. V. Bolokhov, V. D. Ivashchuk
doaj   +1 more source

Rab14 regulates the transport of human papillomavirus to the trans‐Golgi network for infectious cell entry

open access: yesFEBS Letters, EarlyView.
This study reveals that the small GTPase Rab14 is necessary for human papillomavirus (HPV) infection and plays an essential role in the transport of virions to the trans‐Golgi network (TGN). HPV in the early endosome (EE), which harbors GTP‐bound Rab14, is transported to the TGN through the switch of Rab14 from its GTP‐bound to GDP‐bound form.
Yoshiyuki Ishii, Iwao Kukimoto
wiley   +1 more source

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