The Alexandrov Soap Bubble Theorem asserts that the distance spheres are only embedded closed connected hypersurfaces in space forms having constant mean curvature. theorem can be extended to more general functions of principal curvatures $$f(k_1,\ldots ,k_{n-1})$$ satisfying suitable conditions. In this paper, we give sharp quantitative estimates proximity a single sphere for when curvature op...

Abstract We initiate a detailed analysis of $C^{\ast }$-diagonals in classifiable }$-algebras, answering natural questions concerning topological properties their spectra and uniqueness questions. Firstly, we construct with connected all stably finite which are unital or projectionless continuous scale. Secondly, for }$-algebras torsion-free $K_0$ trivial $K_1$, further determine the up to home...

Stimulated by recent experimental observation of $X_1(2900)$ just below the $\bar D_1K$ threshold, we extend our previous study D_1D$ S-wave bound state vector meson exchange to system as well similar DK_1$, $D_1K$ and $DK_1$ systems look for possible states. We find that potential $D K_1$ is attractive strong enough form states with mass around 3110 MeV $DK_1(1270)$ 3240 $DK_1(1400)$. $D_1 K$ ...

By looking at the pseudoscalar-vector meson spectra in $\bar{B}\to J/\psi \rho\bar{K}$ and \bar{K}^*\pi$ weak decays, we theoretically investigate double-pole structure of $K_1(1270)$ resonance by using Chiral Unitary approach to account for final state interactions between pseudoscalar vector mesons. The appears as dynamically generated through these coupled channels influence shape invariant ...

By looking at the pseudoscalar-vector meson spectra in $\bar{B}\to J/\psi \rho\bar{K}$ and \bar{K}^*\pi$ weak decays, we theoretically investigate double-pole structure of $K_1(1270)$ resonance by using Chiral Unitary approach to account for final state interactions between pseudoscalar vector mesons. The appears as dynamically generated through these coupled channels influence shape invariant ...

Let $k$ be a fixed integer. We determine the complexity of finding a $p$-partition $(V_1, \dots, V_p)$ of the vertex set of a given digraph such that the maximum out-degree of each of the digraphs induced by $V_i$, ($1\leq i\leq p$) is at least $k$ smaller than the maximum out-degree of $D$. We show that this problem is polynomial-time solvable when $p\geq 2k$ and ${\cal NP}$-complete otherwise...

For a given $2$-partition $(V_1,V_2)$ of the vertices of a (di)graph $G$, we study properties of the spanning bipartite subdigraph $B_G(V_1,V_2)$ of $G$ induced by those arcs/edges that have one end in each $V_i$. We determine, for all pairs of non-negative integers $k_1,k_2$, the complexity of deciding whether $G$ has a 2-partition $(V_1,V_2)$ such that each vertex in $V_i$ has at least $k_i$ ...

We study the dynamics of a predator-prey system in a random environment. The dynamics evolves according to a deterministic Lotka-Volterra system for an exponential random time after which it switches to a different deterministic Lotka-Volterra system. This switching procedure is then repeated. The resulting process switches between two deterministic Lotka-Volterra systems at exponential times a...

Pengembangan teknologi di berbagai bidang dari tahun ke semakin pesat, begitu pula pengembangan kedirgantaraan. Salah satu pengembangannya adalah pesawat tanpa awak atau Unmanned Aerial Vehicle (UAV). Dalam penelitian ini, dilakukan analisis sistem dan desain kontrol pada model gerak lateral-direksional UAV menggunakan Output Feedback Control. Sistem bersifat tidak stabil, terkontrol, teramati....

We introduce a quandle invariant of classical and virtual links, denoted $Q_{tc} (L)$. This has the property that (L) \cong Q_{tc} (L')$ if only components $L$ $L'$ can be indexed in such way $L=K_1 \cup \dots K_{\mu}$, $L'=K'_1 K'_{\mu}$ for each index $i$, there is multiplier $\epsilon_i \in \{-1,1\}$ connects linking numbers over $K_i$ to $K'_i$ $L'$: $\ell_{j/i}(K_i,K_j)= \epsilon_i \ell_{j...