Results 1 to 10 of about 15,366,710 (301)
On Optimal Interpolation by Linear Functions on an n-Dimensional Cube
Моделирование и анализ информационных систем, 2018 Let \(n\in{\mathbb N}\), and let \(Q_n\) be the unit cube \([0,1]^n\). By \(C(Q_n)\) we denote the space of continuous functions \(f:Q_n\to{\mathbb R}\) with the norm \(\|f\|_{C(Q_n)}:=\max\limits_{x\in Q_n}|f(x)|,\) by \(\Pi_1\left({\mathbb R}^n\right)\)
Mikhail V. Nevskii, Alexey Yu. Ukhalov
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Improvements of Poisson approximation for n-dimensional unit cube random graph [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 This paper uses the Stein-Chen method to obtain uniform and non-uniform bounds in the Poisson approximation for the n-dimensional unit cube random graph. These bounds are re-established under the restriction of Poisson mean λ = 1.
Kanint Teerapabolarn
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Topology of random $2$-dimensional cubical complexes
Forum of Mathematics, Sigma, 2021 We study a natural model of a random $2$-dimensional cubical complex which is a subcomplex of an n-dimensional cube, and where every possible square $2$-face is included independently with probability p. Our main result exhibits a sharp threshold $p=1/2$
Matthew Kahle +2 more
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On the Volume of Sections of the Cube
Analysis and Geometry in Metric Spaces, 2021 We study the properties of the maximal volume k-dimensional sections of the n-dimensional cube [−1, 1]n. We obtain a first order necessary condition for a k-dimensional subspace to be a local maximizer of the volume of such sections, which we formulate ...
Ivanov Grigory, Tsiutsiurupa Igor
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Momentary finite element for elasticity 3D problems [PDF]
MATEC Web of Conferences, 2022 A description of a new 8-node finite element in the form of a hexahedron is given for solving elasticity 3D problems. This finite element has the following features. This is a linear approximation of functions in the element, one point of integration and
Chekmarev Dmitry, Abu Dawwas Yasser
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Embedding complete multi-partite graphs into Cartesian product of paths and cycles
Electronic Journal of Graph Theory and Applications, 2021 Graph embedding is a powerful method in parallel computing that maps a guest network G into a host network H. The performance of an embedding can be evaluated by certain parameters, such as the dilation, the edge congestion, and the wirelength.
R. Sundara Rajan +4 more
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Expressivity of Variational Quantum Machine Learning on the Boolean Cube
IEEE Transactions on Quantum Engineering, 2023 Categorical data play an important part in machine learning research and appears in a variety of applications. Models that can express large classes of real-valued functions on the Boolean cube are useful for problems involving discrete-valued data types,
Dylan Herman +5 more
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The Core of the Non-Universe in Jaina Cosmology as a Cube of Eight Space-Points
History of Science in South Asia, 2023 According to Jaina cosmology, the non-universe is a hollow sphere beyond and exists all round the universe, whose middle region is the horizontal universe resting on a circular disc.
Dipak Jadhav
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Algorithm to Construct Node-independent Spanning Trees in Data Center Network BCDC [PDF]
Jisuanji kexue, 2022 As the foundation of cloud computing technology,the communication performance of data center networks has become a research hotspot in recent years.And as an important infrastructure of data center networks,independent spanning trees(ISTs) attract much ...
PAN Zhi-yong, CHENG Bao-lei, FAN Jian-xi, BIAN Qing-rong
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Integration on Differential Spaces
Demonstratio Mathematica, 2014 The generalization of the n-dimensional cube, an n-dimensional chain, the exterior derivative and the integral of a differential n-form on it are introduced and investigated.
Dziewa-Dawidczyk Diana +1 more
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