The paper considers a scalar differential equation of an advance-delay type \begin{equation*} \dot{y}(t)= -\left(a_0+\frac{a_1}{t}\right)y(t-\tau )+\left(b_0+\frac{b_1}{t}\right)y(t+\sigma )\,, \end{equation*} where constants $a_0$, $b_0$, $\tau $ and $\sigma are positive, $a_1$ $b_1$ arbitrary. behavior its solutions for $t\rightarrow \infty is analyzed provided that the transcendental \lambda...

BACKGROUND The instantaneous pressure gradient between the left ventricle and left atrium during systole can be calculated from the mitral regurgitation Doppler velocity curve. The purpose of our study was to determine the accuracy of measuring the time constant of relaxation (TAU) derived from the Doppler mitral regurgitation signal by comparing it with simultaneous high-fidelity left ventricu...

The left ventricular isovolumic pressure decay, obtained by cardiac catheterization, is widely characterized by the time constant tau of the exponential regression p(t)=Pomega+(P0-Pomega)exp(-t/tau). However, several authors prefer to prefix Pomega=0 instead of coestimating the pressure asymptote empirically; others present tau values estimated by both methods that often lead to discordant resu...

Let $\mathcal{A}$ denote the class of functions $f$ which are analytic in open unit disk $\mathbb{U}$ and given by\[f(z)=z+\sum_{n=2}^{\infty }a_{n}z^{n}\qquad \left( z\in \mathbb{U}\right) .\]The coefficient functional $\phi _{\lambda }\left( f\right) =a_{3}-\lambda a_{2}^{2}$ on $f\in \mathcal{A}$ represents various geometric quantities. For example, _{1}\left( =a_{3}-a_{2}^{2}=S_{f}\left( 0\...

A bstract The semitauonic $$ {B}_c^{-}\to J/\psi {\tau}^{-}{\overline{\nu}}_{\tau } B c − → J / ψ τ ν ¯...

relative to a hereditary torsion theory $tau$ we introduce a dimension for a module $m$, called {em $tau$-rank of} $m$, which coincides with the reduced rank of $m$ whenever $tau$ is the goldie torsion theory. it is shown that the $tau$-rank of $m$ is measured by the length of certain decompositions of the $tau$-injective hull of $m$. moreover, some relations between the $tau$-rank of $m$ and c...

The neuronal microtubule-associated protein tau is required for the development of cell polarity in cultured neurons. Using PC12 cells that stably express tau and tau amino-terminal fragments, we report that tau interacts with the neural plasma membrane through its amino-terminal projection domain. In differentiated PC12 transfectants, tau is found in growth cone-like structures in a nonmicrotu...

OBJECTIVE Most patients with constrictive pericarditis have normal measures of left ventricular function when assessed by the ejection phase index of ejection fraction, yet there is a wide spectrum of outcome after pericardiectomy. We hypothesized that parameters of non-ejection indexes of cardiac function (+dP/dt and tau) may predict postoperative prognosis. METHODS The immediate and long-te...

Lepton flavor universality can be tested through the ratio of semileptonic $B$ meson decays and leptonic $\Upsilon$ decays, with $\Upsilon \equiv \Upsilon(nS)$ ($n=1,2,3$). For charged-current transitions $b \to c\tau\bar{\nu}_\tau$, discrepancies between experiment Standard Model (SM) have been observed in recent years by different facilities such as BABAR, Belle, LHCb. While for neutral-curre...

В статье рассматриваются однородные функции, имеющие вид $\theta \left(\tau \right)\left|t\right|^{\alpha },$ гдепорядок однородности $\alpha >-n$, а \left(\tau\right)$ - функция на единичной сфере $S^{n-1}=\left\{t{\in}R^n, \left|t\right|=1\right\}$. При вычислении преобразования Лапласа этих функций с носителем востром конусе необходимо получить их явное представление. Это достигается сумм...