Results 211 to 220 of about 12,262 (250)
Quantum-like Cognition and Decision-Making: Interpretation of Phases in Quantum-like Superposition. [PDF]
Khrennikov A.
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Giant Mpemba Effect via Weak Interactions in Open Quantum Systems. [PDF]
Longhi S.
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Simultaneous Pi2 pulsation detected by CSES-01, Swarm, RBSP and Arase satellites. [PDF]
Ghamry E +16 more
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Enhancing Ultrasonic Crack Sizing Accuracy in Rails: The Role of Effective Velocity and Hilbert Envelope Extraction. [PDF]
Ho TT, Dao TT.
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A reconfigurable MTM-EMBG MIMO antenna array with solar panel integration for sustainable 5G networks. [PDF]
Al-Attar S +12 more
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Graphs of relations and Hilbert series
We are discussing certain combinatorial and counting problems related to quadratic algebras. First we give examples which confirm the Anick conjecture on the minimal Hilbert series for algebras given by n generators and n(n-1)/2 relations for n less or equal then 7. Then we investigate combinatorial structure of colored graph associated to relations of
Peter Cameron, Natalia Iyudu
exaly +6 more sources
On the Hilbert series of monomial ideals
AbstractTo every squarefree monomial ideal one can associate a hypergraph. In this paper we show that the Hilbert series of a squarefree monomial ideal can be obtained from the so-called edge induced polynomial of the associated hypergraph.
Afshin Goodarzi
exaly +3 more sources
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On the computation of hilbert—Poincaré series
Applicable Algebra in Engineering, Communication and Computing, 1991Let k be a field, \(X_ 1,...,X_ n\) indeterminates, \(R=k[X_ 1,...,X_ n]\) (graded by \(\deg (X_ i)=1)\) and I a homogeneous ideal of R. For a term ordering s, \(Lt_ s(I)\) is the leading term ideal associated to I with respect to s. It is known that the Hilbert- Poincaré series of R/I and \(R/Lt_ s(I)\) are the same - a result by F. S.
A. BIGATTI +2 more
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The Hilbert Series of the Clique Complex
Graphs and Combinatorics, 2005For a graph G, we show a theorem that establishes a correspondence between the fine Hilbert series of the Stanley-Reisner ring of the clique complex for the complementary graph of G and the fine subgraph polynomial of G. We obtain from this theorem some corollaries regarding the independent set complex and the matching complex.
Daniela Ferrarello, Ralf Fröberg
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Computing noncommutative Hilbert series
ACM Communications in Computer Algebra, 2019We propose methods for computing the Hilbert series of multigraded right modules over the free associative algebra. In particular, we compute such series for noncommutative multigraded algebras. Using results from the theory of regular languages, we provide conditions when the methods are effective and hence the Hilbert series have a rational sum ...
Roberto La Scala, Sharwan K. Tiwari
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