5 Non-negative matrix factorization (NMF) has become a popular machine 6 learning approach to many problems in text mining, speech and image 7 processing, bio-informatics and seismic data analysis to name a few. In 8 NMF, a matrix of non-negative data is approximated by the low-rank 9 product of two matrices with non-negative entries. In this paper, the 10 approximation quality is measured by t...

Let $(u, v)$ be a nonnegative solution to the semilinear parabolic system $$ \mbox{(P)} \qquad \left\{ \begin{array}{ll} \partial_{t} u = D_{1} \Delta + v^{p}, \quad x \in \mathbf{R}^{N}, \ t > 0,\\ v D_{2} u^{q}, (u(\cdot,0), v(\cdot,0)) (\mu, \nu), \end{array} \right. where $D_{1}$, $D_{2} 0$, $0 < p \leq q$ with $pq 1$ and $(\mu, \nu)$ is pair of Radon measures or measurable functions in $\m...

This paper deals with the following degenerate fractional Kirchhoff-type system magnetic fields and critical growth: $$\begin{aligned} \left\{ \begin{array}{lll} -\mathfrak {M}(\Vert u\Vert _{s,A}^2)[(-\Delta )^s_Au+u] = G_u(|x|,|u|^2,|v|^2) \\ \quad +\left( \mathcal {I}_\mu *|u|^{p^*}\right) |u|^{p^*-2}u \ &{}\text{ in }\,\,\mathbb {R}^N,\\ \mathfrak v\Vert _{s,A})[(-\Delta )^s_Av+v] G_v(|x|,|...

For a strongly elliptic pseudodifferential operator $L$ of order $2a$ ($0<a<1$) with real kernel, we show an integration-by-parts formula for solutions the homogeneous Dirichlet problem, in model case where is $x$-independent symbol, considered on halfspace $R^n_+$. The new aspect compared to $(-\Delta )^a$ that nonsymmetric, having both even and odd part. Hence it satisfies $\mu $-transmission...

We discuss vacuum static, spherically symmetric asymptotically flat solutions of the generalized hybrid metric-Palatini theory gravity (generalized HMPG) suggested by Böhmer and Tamanini, involving both a metric $$g_{\mu\nu}$$ an independent connection $$\hat{\Gamma}_{\mu\nu}^{\alpha}$$ ; gravitational field Lagrangian is arbitrary function $$f(R,P)$$ two Ricci scalars, $$R$$ obtained from $$P$...

V pre-B and lambda-like genes are selectively expressed in human pre-B cells and encode polypeptide chains that associate in a mu-pseudolight chain complex that may regulate some crucial steps of early B-cell differentiation. We have followed by polymerase chain reaction and Northern blot analysis the expression of these "pre-B-specific" genes in correlation with the status (rearranged v germli...

Future Wireless Networks are expected to adopt multi-user multiple input multiple output (MU-MIMO) systems whose performance is maximized by making use of precoding at the transmitter. This chapter describes the recent advances in precoding design for MU-MIMO and introduces a new technique to improve the precoder performance. Without claiming to be comprehensive, the chapter gives deep introduc...

INTRODUCTION Opioid receptors are currently classified as Mu (μ), Delta (δ), Kappa (κ) plus the opioid related nociceptin/orphanin FQ (N/OFQ) peptide receptor (NOP). Despite compelling evidence for interactions and benefits of targeting more than one receptor type in producing analgesia, clinical ligands are Mu agonists. In this study we have designed a Mu-NOP agonist named DeNo. The Mu agonist...

We are interested in the general Choquard equation \begin{multline*} \sqrt{\strut -\Delta + m^2} \ u - mu V(x)u \frac{\mu}{|x|} = \left( \int_{\mathbb{R}^N} \frac{F(y,u(y))}{|x-y|^{N-\alpha}} \, dy \right) f(x,u) K (x) |u|^{q-2}u \end{multline*} under suitable assumptions on bounded potential \(V\) and nonlinearity \(f\). Our analysis extends recent results by second third author problem with $...

OBJECTIVE To examine the effect of concomitant intake of beta blockers with angiotensin converting enzyme (ACE) inhibitors, diuretics, or both on plasma renin concentrations in a population based sample (MONICA survey, Augsburg, Germany). SUBJECT AND METHODS 728 individuals were studied, of whom 171 were treated using monotherapy (ACE inhibitor (n = 21), diuretic (n = 10), or beta blocker (n ...