We report on a patient presenting Pick's disease similar to the one reported by Pick in 1892, with ubiquitin-positive and tau-negative inclusions. His diagnosis was made on the basis of clinical (language disturbance and behavioural disorders), neuropsychological (progressive aphasia of the expression type and late mutism), neuroimaging with magnetic resonance (bilateral frontal and temporal lo...

The τ lepton arising from the scalar tau (τ̃ ) decay is naturally polarized. Pτ depends on the left–right mixing of the τ̃ and the gaugino–higgsino mixing of the neutralino. The polarization Pτ could be measured from the energy distribution of the decay products of τ at future e+e− colliders. A measurement of Pτ and of the τ̃ production cross section allows to determine both these mixing angles. E...

We consider the mass generation for the usual quarks and leptons in some supersymmetric models. The masses of the top, the bottom, the charm, the tau and the muon are given at the tree level. All the other quarks and the electron get their masses at the one loop level in the Minimal Supersymmetric Standard Model (MSSM) and in two Supersymmetric Left-Right Models, one model uses triplets (SUSYLR...

We prove the continuity of bounded solutions for a wide class parabolic equations with (p, q)-growth $$\begin{aligned} u_{t}-\mathrm{div}\left( g(x,t,|\nabla u|) \,\frac{\nabla u}{|\nabla u|}\right) =0, \end{aligned}$$ under generalized non-logarithmic Zhikov’s condition $$\begin{aligned}g(x,t,\mathrm{v}/r)&\leqslant c(K)\,g(y,\tau ,\mathrm{v}/r), \quad (x,t), (y,\tau )\in Q_{r,r}(x_{0},t_{0}),...

In the present work we study existence and non-existence of nonnegative solutions to a class deterministic KPZ system with nonlocal gradient term. More precisely will consider system$ \begin{equation*} \left\{ \begin{array}{rcll} (-\Delta)^{s} u & = &|\mathbb{D}_{s} v|^q + \rho f\,, \quad {\rm{in }}\; \Omega,\\ v |\mathbb{D}_{s} u|^p \tau g\,, v& 0 &\quad {\text{in }} \mathbb{R}...

Let $X$ be a Banach space of $dim X > 2$ and $B(X)$ be the space of bounded linear operators on X. If $L : B(X)to B(X)$ be a Lie higher derivation on $B(X)$, then there exists an additive higher derivation $D$ and a linear map $tau : B(X)to FI$ vanishing at commutators $[A, B]$ for all $A, Bin B(X)$ such that $L = D + tau$.

In this paper, we consider the first-order dynamic equation as following:$$x^{\Delta}(t)+\sum\limits_{i=1}^m p_i(t)x(\tau_i(t))=0,\,\,t\in[t_0,\infty)_{\mathbb{T}}$$where $p_{i}\in C_{rd}\left( [t_{0},\infty )_{\mathbb{T}},\mathbb{R}^{+}\right) ,$ $\tau _{i}\in )_{\mathbb{T}},\mathbb{T}\right) $ $(i=1,2,\ldots ,m)$ and $\tau_i(t)\leq t,\,\, \lim_{t\to\infty}\tau_i(t)=\infty$. When delay terms $...

In this article we characterize the L mathvariant="normal">∞ <mml:annotation encoding="application/...

Although tau is a cytoplasmic protein, it is also found in brain extracellular fluids, e.g., CSF. Recent findings suggest that aggregated tau can be transferred between cells and extracellular tau aggregates might mediate spread of tau pathology. Despite these data, details of whether tau is normally released into the brain interstitial fluid (ISF), its concentration in ISF in relation to CSF, ...

We present a new variant of the secretary problem. Let $A$ be totally ordered set $n$ \emph{applicants}. Given $P\subseteq A$ and $x\in A$, let $rr(P,x)=\vert\{z\in P \mid z\leq x\}\vert\mbox{ }$ \emph{relative rank of} $x$ \emph{with regard to} $P$, $rr_n(x)=rr(A,x)$. $x_1,x_2,\dots,x_n\in random sequence distinct applicants. The aim is to select $1<j\leq n$ such that $rr_n(x_{j-1})-rr_n(x_j)\...