In this paper, we constrain four time-dependent dark energy (TDDE) models by using the Type Ia supernovae (SNe Ia), baryonic acoustic oscillations (B…

An edge-colored graph $G$, where adjacent edges may have the same color, is {\it rainbow connected} if every two vertices of $G$ are connected by a p…

A path $P$ in an edge-colored graph $G$ is a \emph{proper path} if no two adjacent edges of $P$ are colored with the same color. The graph $G$ is \em…

An edge-colored graph $G$ is \emph{conflict-free connected} if, between each pair of distinct vertices, there exists a path containing a color used o…

The planar Tur\'an number of a given graph $F$, denoted $ex_{_\mathcal{P}}(n,F)$, is the maximum number of edges in a planar graph on $n$ vertices wi…

Let $G$ be a nontrivial connected graph with an edge-coloring $c:E(G)\rightarrow \{1,2,\ldots,q\},$ $q\in \mathbb{N}$, where adjacent edges may be co…

Aspect-level sentiment classification aims to distinguish the sentiment polarities over one or more aspect terms in a sentence. Existing approaches m…

A path in a vertex-colored graph is called a \emph{vertex-monochromatic path} if its internal vertices have the same color. A vertex-coloring of a gr…

In this paper, we investigate the angular momentum independence of the entropy sum and product for rotating black holes based on the first law of thermodynamics and a mathematical lemma related to Vandermonde determinant. The advantage of the method…

In this paper, we investigate the angular momentum independence of the entropy sum and product for AdS rotating black holes based on the first law of…

Our study in this paper has generalized our discussions in ref.[16] to general rotating Kaluza-Klein black holes, including the charged case, which is not discussed in ref.[16]. We have investigated the angular momentum-independence of the entropy s…

Based on a mathematical lemma related to the Vandermonde determinant and two theorems derived from the first law of black hole thermodynamics, we inv…

Before the demonstration, for notational simplicity, we define

In this paper we investigate the Parisian ruin probability for an integrated Gaussian process. Under certain assumptions, we find the Parisian ruin p…

The existing binary foreground map (FM) measures to address various types of errors in either pixel-wise or structural ways. These measures consider …

We study the "complexity equals volume" (CV) and "complexity equals action" (CA) conjectures by examining moments of of time symmetry for $\rm AdS_3$…

Whether molecular states indeed exist in nature has been disputed for a long time. Several new resonances have been observed in the recent experiment…

We study the phenomenology of a model that addresses the neutrino mass, dark matter and generation of the electroweak scale in one framework. The ele…

Homogenization proposed in [Y.-C Wu and M. \.Zukowski, Phys. Rev. A 85, 022119 (2012)] is a procedure to transform a tight Bell inequality with parti…

Parallelization framework has become a necessity to speed up the training of deep neural networks (DNN) recently. Such framework typically employs th…

We study the wormhole spacetime configurations in bulk viscosity cosmology. Considering three classes of viscous models, i.e., bulk viscosity as a fu…

In general, we can propose the hybrid supersymmetry breakings and hybrid mediations in the Supersymmetric Standard Models (SSMs). In this paper, we s…

We investigate the $P-V$ criticality and the Maxwell equal area law for a five-dimensional spherically symmetric AdS black hole with a scalar hair in…

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