Results 61 to 70 of about 11,536 (152)
ABSTRACT The Duffing oscillator is often considered as “the” prototype of a nonlinear oscillator as it exhibits many characteristic phenomena of nonlinear dynamics. One of these phenomena is the occurrence of multiple periodic solutions as considered here for the case of the harmonically excited slightly damped Duffing oscillator.
Hannes Dänschel +3 more
wiley +1 more source
SAMPLE TESTING OF THE ALGORITHM WITH THE ITERATIVE DETERMINATION OF WEIGHTS
The article presents the results of testing the algorithm robust estimation based on the Chebyshev inequality, on a large number of samples with unimodal symmetric distribution with an asymmetric noise. Difference of the considered way of estimation, the
V. L. Chechulin, V. I. Gracile
doaj +2 more sources
Hypergraphs with arbitrarily small codegree Turán density
Abstract The codegree Turán density γ(F)$\gamma (F)$ of a k$k$‐graph F$F$ is the smallest γ∈[0,1)$\gamma \in [0,1)$ such that every k$k$‐graph H$H$ with δk−1(H)⩾(γ+o(1))|V(H)|$\delta _{k-1}(H)\geqslant (\gamma +o(1))\vert V(H)\vert$ contains a copy of F$F$. In this work, we show that for every ε>0$\varepsilon >0$, there is a k$k$‐uniform hypergraph F$F$
Simón Piga, Bjarne Schülke
wiley +1 more source
A Tricentenary history of the Law of Large Numbers
The Weak Law of Large Numbers is traced chronologically from its inception as Jacob Bernoulli's Theorem in 1713, through De Moivre's Theorem, to ultimate forms due to Uspensky and Khinchin in the 1930s, and beyond.
Seneta, Eugene
core +1 more source
Fractional Dirichlet problems with an overdetermined non‐local Neumann condition
Abstract We investigate symmetry and quantitative approximate symmetry for an overdetermined problem related to the fractional torsion equation in a regular open, bounded set Ω⊆Rn$\Omega \subseteq \mathbb {R}^n$. Specifically, we show that if Ω¯$\overline{\Omega }$ has positive reach and the non‐local normal derivative introduced in Dipierro, Ros‐Oton ...
Michele Gatti +2 more
wiley +1 more source
A subdiffusive behaviour of recurrent random walk in random environment on a regular tree [PDF]
We are interested in the random walk in random environment on an infinite tree. Lyons and Pemantle [11] give a precise recurrence/transience criterion.
Hu, Yueyun, Shi, Zhan
core +6 more sources
Universality for Graphs of Bounded Degeneracy
ABSTRACT Given a family ℋ$$ \mathscr{H} $$ of graphs, a graph G$$ G $$ is called ℋ$$ \mathscr{H} $$‐universal if G$$ G $$ contains every graph of ℋ$$ \mathscr{H} $$ as a subgraph. Following the extensive research on universal graphs of small size for bounded‐degree graphs, Alon asked what is the minimum number of edges that a graph must have to be ...
Peter Allen +2 more
wiley +1 more source
From simplex slicing to sharp reverse Hölder inequalities
Abstract Simplex slicing (Webb, 1996) is a sharp upper bound on the volume of central hyperplane sections of the regular simplex. We extend this to sharp bounds in the probabilistic framework of negative moments, and beyond, of centred log‐concave random variables, establishing a curious phase transition of the extremising distribution for new sharp ...
James Melbourne +3 more
wiley +1 more source
The processing unit with a quad-tree structure in high efficiency video coding (HEVC/H.265) consists of a coding unit (CU), a prediction unit (PU), and a transform unit (TU). The CU and PU account for the majority of the computational complexity.
Kuang-Han Tai +8 more
doaj +1 more source
Harmonic maps to the circle with higher dimensional singular set
Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley +1 more source

