Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Dragomir Z. Djokovic"'
Publikováno v:
EasyChair Preprints.
In this paper, we provide an overview of the SAT+CAS method that combines satisfiability checkers (SAT solvers) and computer algebra systems (CAS) to resolve combinatorial conjectures, and present new results vis-a-vis best matrices. The SAT+CAS meth
Publikováno v:
Numerical Algorithms. 69:523-530
Periodic Golay pairs are a generalization of ordinary Golay pairs. They can be used to construct Hadamard matrices. A positive integer $v$ is a (periodic) Golay number if there exists a (periodic) Golay pair of length $v$. Taking into the account the
Publikováno v:
Designs, Codes and Cryptography. 74:365-377
A collection of complex sequences of length v is complementary if the sum of their periodic autocorrelation function values at all non-zero shifts is constant. For a complex sequence A=[a_0,a_1,...,a_{v-1}] of length v=dm we define the m-compressed s
Autor:
Dragomir Z. Djokovic, Lin Chen
We investigate the separable states $\r$ of an arbitrary multipartite quantum system with Hilbert space $\cH$ of dimensionin $d$. The length $L(\r)$ of $\r$ is defined as the smallest number of pure product states having $\r$ as their mixture. The le
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47d4aaab89a1e8b9d92ae41267a7a783
https://europepmc.org/articles/PMC5134303/
https://europepmc.org/articles/PMC5134303/
Autor:
Lin Chen, Dragomir Z. Djokovic
The normalized separable states of a finite-dimensional multipartite quantum system, represented by its Hilbert space ${\cal H}$, form a closed convex set ${\cal S}_1$. The set ${\cal S}_1$ has two kinds of faces, induced and non-induced. An induced
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f1b3ff812a9c4bec9b48ea4c3ed1b56
Publikováno v:
Canadian Mathematical Bulletin. 48:394-404
Let n = 2m be even and denote by Spn(F) the symplectic group of rank m over an infinite field F of characteristic different from 2. We show that any n × n symmetric matrix A is equivalent under symplectic congruence transformations to the direct sum
Autor:
Kaiming Zhao, Dragomir Z. Djokovic
Publikováno v:
Mathematical Research Letters. 12:341-356
Let V be an n-dimensional vector space over an algebraically closed field K of characteristic 0. Denote by B the space of bilinear forms f : V ×V → K. We say that g ∈ B is semisimple if the orbit Og = SLn · g is closed in B, in the Zariski topo
Publikováno v:
Mathematical Research Letters. 10:1-10
We equip the complex polynomial algebra C[t] with the involution which is the identity on C and sends t to -t. Answering a question raised by V.G. Kac, we show that every hermitian or skew-hermitian matrix over this algebra is congruent to the direct
Autor:
Dragomir Z. Djokovic
Publikováno v:
Publications de l'Institut Mathematique. 72:23-28
Atiyah's conjecture concerning configurations of N points in the Euclidean three-space is verified for the following nonplanar configurations: The first m points lie on a line L and the remaining n=N-m (>2) points are the vertices of a regular n-gon