We report the results of new XMM-Newton observations middle-aged ($\sim$10$^5$ yr) radio pulsar PSR J1740+1000 carried out in 2017-2018. These long pointings ($\sim$530 ks) show that non-thermal emission, well described by a power-law spectrum with photon index $\Gamma=1.80\pm0.17$, is pulsed $\sim$30% fraction above 2 keV. The thermal emission can be fit sum two blackbodies temperatures $kT_1=...

We report the structural and magnetic properties of a new spin-$\frac12$ antiferromagnet NaZnVOPO$_4$(HPO$_4$) studied via x-ray diffraction, susceptibility, high-field magnetization, specific heat, $^{31}$P nuclear resonance (NMR) measurements, as well density-functional band-structure calculations. While thermodynamic this compound are described by $J_1-J_2$ square-lattice model, \textit{ab i...

Diakonov theory of quantum gravity, in which tetrads emerge as the bilinear combinations fermionis fields,\cite{Diakonov2011} suggests that general relativity metric may have dimension 2, i.e. $[g_{\mu\nu}]=1/[L]^2$. Several other approaches to including model superplastic vacuum and $BF$-theories gravity support this suggesuion. The important consequence such is all diffeomorphism invariant qu...

Digital signature schemes in general and representative collective digital schemes, particular, are often built based on the difficulty of discrete logarithm problem finite field, elliptic curve, factor analysis, finding roots modulo large primes or a combination difficult problems mentioned above. In this paper, we use new problem, which is to find with root ground field GF(p) build but chosen...

Abstract Given finite configurations $P_1, \dots , P_n \subset \mathbb {R}^d$ let us denote by $\mathbf {m}_{\mathbb {R}^d}(P_1, P_n)$ the maximum density a set $A \subseteq can have without containing congruent copies of any $P_i$ . We will initiate study this geometrical parameter, called independence considered configurations, and give several results we believe are interesting. For instance...

Computer simulators are often used as a substitute of complex real-life phenomena, which either expensive or infeasible to experiment with. This paper focuses on how efficiently solve the inverse problem for an evaluate time-series-valued computer simulator. The research is motivated by hydrological simulator has be tuned generating realistic rainfall–runoff measurements in Athens, Georgia, USA...

Introduction. Let r be a bounded linear operator on a Banach space B and let t_1 exist. Consider a closed subspace C of B which is invariant under t, i.e. rCQC. The restriction of r to C is an operator T on the Banach space C. Suppose now that t^CÇ^C, so that T has no inverse. The class of operators T arising in this way has rather special properties, which are in general quite different from t...

Abstract Let $T = (T_1, \ldots , T_n)$ be a commuting tuple of bounded linear operators on Hilbert space $\mathcal{H}$ . The multiplicity $T$ is the cardinality minimal generating set with respect to In this paper, we establish an additive formula for multiplicities class tuples operators. A special case main result states following: $n \geq 2$ and let $\mathcal{Q}_i$ $i 1, n$ proper closed shi...

In this paper we consider two recovery problems based on information given with an error. First is the problem of optimal class $W^T_q = \{(t_1h_1,t_2h_2,\ldots)\in \ell_q\,:\,\|h\|_q\leqslant 1\}$, where $1\le q < \infty$ and $t_1\geqslant t_2\geqslant \ldots \geqslant 0$, in space $\ell_q$ when capacity inexact know either first $n\in\mathbb{N}$ elements a sequence error measured finite seque...

Let A be a positive (semidefinite) bounded linear operator on complex Hilbert space $$\big ({\mathcal {H}}, \langle \cdot , \rangle \big )$$ ( H ? · ? ) . The semi-inner product induced by is defined $${\langle x, y\rangle }_A := Ax, $$ x y : = for all $$x, y\in {\mathcal {H}}$$ ? and defines seminorm $${\Vert \Vert }_A$$ ? $${\mathcal This makes into semi-Hilbert space. For $$p\in [1,+\infty p...