BACKGROUND The efficacy of wearing [a] compression garment (CG) between repeated bouts of exercise within a same day has not been fully understood. The present study determined the effect of wearing a CG after strenuous exercise sessions (consisting of sprint exercise, resistance exercise, drop jump) twice a day on exercise performance, muscle damage, and inflammatory responses. METHODS Eleve...

In this paper, we study the existence of multiple solutions for boundary value problem\begin{equation}\Delta_{\gamma} u+f(x,u)=0 \quad \mbox{ in } \Omega, u=0 on \partial \notag\end{equation}where $\Omega$ is a bounded domain with smooth $\mathbb{R}^N \ (N \ge 2)$ and $\Delta_{\gamma}$ subelliptic operator type $$\Delta_\gamma: =\sum\limits_{j=1}^{N}\partial_{x_j} \left(\gamma_j^2 \partial_{x_j...

From several results in recent years, starting with Hörmander’s characterization of the constant coefficient partial differential equations P (D)u = f that have a real analytic solution u for every real analytic function f , it has become clear that certain properties of the partial differential operator P (D) are equivalent to estimates of Phragmén–Lindelöf type for plurisubharmonic functions ...

This work is centred on the speciication of partial operations in a system based on a classical logic with total functions. We present a style with preconditions: our method enables calculation of the domain of a partial function f independently of calculation of f. We also study the innuence of this style upon the proof facility and the later use of the speciication.

A class of increasing sequences natural numbers (nk) is found for which there exists a function f?L[0,1) such that the subsequence partial Walsh-Fourier sums (Snk(f)) diverges everywhere. condition growth order ?:[0,?)?[0,?) given fulfillment implies an existence above type f in ?(L)[0,1).

AbMnwt. Let P = (pi 1 i E I} and 8 = {qi 1 i E I} be sets of partis! functions with the same index set Z. We say that Cp is an interpolating function (from P to 0) if @(pi) = qi for each i. We give simple necessary and sufficient conditions for the existence of a monotone interpolating functional. Wti show that these same conditions are necessary and sufficient for the existence of a continuous...

Stochastic partial differential equations are simply partial differential equations in the presence of uncertainty. Uncertainty, in its simplest form, is modeled by (or taken as) the time derivative (in the sense of distributions) of a Wiener process, known commonly as white noise. The introduction of a random force in a partial differential equation (PDE) arises from the need to explain the fl...

ON THE REAL PART OF A CLASS OF ANALYTIC FUNCTIONS B.A. Frasin Abstract. Let T (β, b), β(β ≥ 0) and b ∈ C denote the class of analytic functions f(z) in the open unit disk which satisfy the condition Re {f ′(z) + βzf ′′(z)} > 1 − |b| . Inclusion relations of functions in the class T (β, b) are given. Lower bounds are also obtained for the n-th partial sums Fn(z) of the Libera integral operator F...

Introduction. It is known that under many conditions, effective operators will be partial recursive, ([MS], [KLS], [L]). On the other hand, certain pathological examples have been constructed by Friedberg [F] and Pour-El [P] to show that effective operators are not always partial recursive. Pour-El has observed that although it is well known that all partial recursive operators are continuous, ...