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METAGRAPH THEORY AS A BASIS FOR MODELING RELEVANT MEDIA DISCOURSE
This article is devoted to modeling media discourse based on a combination of a complex graph model and a multidimensional model. Despite significant advances in the field of neural network text processing, the task of modeling text and media discourse ...
Yuriy E. Gapanyuk
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Sliced Latin Hypercube Designs for Computer Experiments With Unequal Batch Sizes
Latin hypercube designs are frequently used in estimating the mean output value of computer simulations given random environmental factors. Sliced Latin hypercube designs are designs that can be partitioned into a number of batches so that both the whole
Jin Xu +3 more
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Hunting rabbits on the hypercube
We explore the Hunters and Rabbits game on the hypercube. In the process, we find the solution for all classes of graphs with an isoperimetric nesting property and find the exact hunter number of $Q^n$ to be $1+\sum\limits_{i=0}^{n-2} \binom{i}{\lfloor i/2 \rfloor}$.
Jessalyn Bolkema, Corbin Groothuis
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An interactive X‐ray absorption spectroscopy (XAS) simulation/fitting platform for atomic 3D structure characterization integrates machine‐learning‐driven XAS simulation, 3D structure visualization and editing, and experimental XAS fitting into one unity for fast and user‐friendly analysis.We present XAS3DLive, an integrated platform for X‐ray ...
Xueqi Song, Haodong Yao, Haifeng Zhao
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On r-factors with components containing specified vertices in a torus
Let T be a graph obtained by taking the Cartesian product of n cycles of even lengths [Formula: see text]. It is known that for any subset of k vertices of T with [Formula: see text] there exists a 2-factor in T where each cycle contains exactly one of ...
A. V. Sonawane, Y. M. Borse
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On Recursively Directed Hypercubes [PDF]
In this paper we introduce the recursively directed hypercubes, and analyze some of their structural properties. We show that every recursively directed hypercube is acyclic, and has a unique pair of source and sink nodes. The main contribution of the paper is an analysis of distances between the nodes in such a graph.
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The authors distil how dimensions of biodiversity drive ecosystem processes with increasing temperature. Specifically, species physiology more greatly affected ecosystem primary production than did foraging behaviour, and physiology mediated non‐additive interactions with temperature.
Sean Pierce Richards +2 more
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Applying Cech rough closure theory to binary hypercube graphs [PDF]
The present study examines hypercube graphs through the lens of Čech rough closure theory (ČRCT). Leveraging the binary representation and inherent symmetry of hypercubes, we introduce a closure-based approach for modelling uncertainty and vagueness in ...
Simson Jackson, Anto Sherine I
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For an undirected graph $G$, a dominating broadcast on $G$ is a function $f : V(G) \rightarrow \mathbb{N}$ such that for any vertex $u \in V(G)$, there exists a vertex $v \in V(G)$ with $f(v) \geqslant 1$ and $d(u,v) \leqslant f(v)$. The cost of $f$ is $\sum_{v \in V} f(v)$.
Deepak Rajendraprasad +3 more
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INDITEK‐2.0: A Bayesian inverse modelling framework for mechanistic evolutionary processes
Abstract Mechanistic eco‐evolutionary models are powerful tools for understanding how life diversified over geological timescales, yet estimating their parameters remains a key challenge. The high computational requirements of these models make probabilistic inversion methods unfeasible.
Gloria Herrero‐Gascón +7 more
wiley +1 more source

