In this article, we design a novel linearized and momentum-preserving Fourier pseudo-spectral scheme to solve the Rosenau-Korteweg de Vries equation. With aid of new semi-norm equivalence between method finite difference method, prior bound numerical solution in discrete L ∞ $$ {L}^{\infty } -norm is obtained from momentum conservation law. Subsequently, based on energy solution, show that, wit...

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...

Objective To assess whether high levels of cerebrospinal fluid neurogranin are found in atypical as well as typical Alzheimer's disease. Methods Immunoassays were used to measure cerebrospinal fluid neurogranin in 114 participants including healthy controls (n = 27), biomarker-proven amnestic Alzheimer's disease (n = 68), and the atypical visual variant of Alzheimer's (n = 19) according to in...

Let x ∈ (0, 1) be a real number with continued fraction expansion [a1 (x),a2 (x), a3(x), ⋯]. This paper is concerned the multifractal spectrum of convergence exponent {an (x)}n≥1 defined by $$\tau (x): = \inf \left\{{s \ge 0:\sum\limits_{n 1} {a_n^{- s}(x) < \infty}} \right\}.$$

in this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$  is investigated. some new positive periodic criteria are given.

The relationships between β-amyloid (Aβ), tau and neurodegeneration within Alzheimer's Disease pathogenesis are not fully understood. To explore these associations in vivo, we evaluated 30 Aβ PET-positive patients (mean ± sd age 62.4 ± 8.3) with mild probable AD and 12 Aβ PET-negative healthy controls (HC) (mean ± sd age 77.3 ± 6.9) as comparison. All participants underwent 3 T MRI, 11C-PiB (Aβ...

The Galactic disribution of the high-latitude molecular clouds is considered. It is suggested that the majority of these clouds are clustered in two large shells around the two closest OB associations, Per OB3/Cas-Tau and Sco OB2. The most prominent shell of high-latitude clouds is centred around the Per OB3/ Cas-Tau association which is also at the centre of the Gould’s Belt. However, the Per ...

BACKGROUND The cerebrospinal fluid (CSF) proteins beta-amyloid 42 (Abeta42) and Tau are believed to indirectly reflect some core pathological features of Alzheimer's disease (AD). Their topographic origin and their association with synaptic dysfunction are still not well understood. AIM The present study aimed to explore possible associations between cerebral glucose metabolism and CSF Abeta4...

Let $X$ be an infinite set, equipped with a topology $tau$. In this paper we studied the relationship between $tau$, and ultrafilters on $X$. We can discovered, among other thing, some relations of the Robinson's compactness theorem, continuity and the separation axioms. It is important also, aspects of communication between mathematical concepts.

We use near-infrared dynamic multiple scattering of light [diffusing-wave spectroscopy (DWS)] to detect the activation of the somato-motor cortex in 11 right-handed volunteers performing a finger opposition task separately with their right and left hands. Temporal autocorrelation functions g(1)(r,tau) of the scattered light field are measured during 100-s periods of motor task alternating with ...