Aims. We aim to explain line formation of He I D3 and 10830 {\AA} in small-scale reconnection events. Methods. make use a simulated Ellerman bomb (EB), present Bifrost-generated radiative Magnetohydrodynamics (rMHD) snapshot. The resulting \AA\ intensities are synthesized 3D using the non-LTE Multi3D code. compare synthetic helium spectra with observed SST/TRIPPEL raster scans EBs D3. Results. ...

in this paper, we introduce the concept of semihyperring $(r,+,cdot)$ together with a suitable partial order $le$. moreover, we introduce and study hyperideals in ordered semihyperrings. simple ordered semihyperrings are defined and its characterizations are obtained. finally, we study some properties of quasi-simple and $b$-simple ordered semihyperrings.

In this note we find sufficient conditions for ergodicity of a Lévy-type process with the generator corresponding semigroup given by $$\begin{aligned} Lf(x)= & {} a(x)f'(x)\\{} + \int _\mathbb {R}\left( f(x+u)-f(x)- \nabla f(x)\cdot u \mathbb {1}_{|u|\le 1} \right) \nu (x,du), \quad f\in C_\infty ^2(\mathbb {R}). \end{aligned}$$ Here $$\nu (x,du)$$ is kernel and $$a(\cdot ): {R}\rightarrow {R}$...

COSINE-100 is a direct detection dark matter experiment that aims to test DAMA/LIBRA's claim of discovery by searching for matter-induced annual modulation signal with NaI(Tl) detectors. We present new constraints on the from dataset 2.82 yr livetime utilizing an active mass 61.3 kg, total exposure 173 kg$\cdot$yr. This result features improved event selection allows both lowering energy thresh...

Let $G$ be a finite group and $pi(G)$ be the set of all prime divisors of $|G|$. The prime graph of $G$ is a simple graph $Gamma(G)$ with vertex set $pi(G)$ and two distinct vertices $p$ and $q$ in $pi(G)$ are adjacent by an edge if an only if $G$ has an element of order $pq$. In this case, we write $psim q$. Let $|G= p_1^{alpha_1}cdot p_2^{alpha_2}cdots p_k^{alpha_k}$, where $p_1

This paper is concerned with the study of a parametric anisotropic double phase free boundary problem (DPFBP, for short) involving $ (p(\cdot),q(\cdot)) $-Laplacian, convection term (a reaction depending on gradient), and two parameters (\theta,\lambda) appearing in q(\cdot) $-Laplacian term, respectively. The $-Laplace operator (DPFBP) considered to be controlled by highly nonlinear nonlocal f...