Hiroshi Sakaki Meisei University 2-590 Nagabuchi Ohme-shi Tokyo 198-8655 Japan [email protected] Summary This paper aims to construct concentrated modification structure from logical formula. First the matrix expression is extracted from the logical formula. Then, the matrix is transformed into geometrical structure called dependency structure equivalent to the former. Finally modificati...

let = be a non-negative matrix. denote by the supremum of those , satisfying the following inequality: where , , and also is increasing, non-negative sequence of real numbers. if we used instead of the purpose of this paper is to establish a hardy type formula for , where is hausdorff matrix and a similar result is also established for where in particular, we apply our results to the cesaro...

The purpose of this work is to establish a Lyapunov-type inequality for the following dynamic equation [Formula: see text]on some time scale T under the anti-periodic boundary conditions [Formula: see text], where [Formula: see text] for [Formula: see text] and [Formula: see text], [Formula: see text] with [Formula: see text] and [Formula: see text], p is the quotient of two odd positive intege...

Introduction: Infants born with congenital anomalies demand individualized nutritional evaluations and recommendations. The anatomical changes of neonatal surgical diseases create specific physiological constraints.Patients with different congenital anomalies have different nutritional support needs. It is essential to know the exact physiology of these anomalies in order to be able to manage a...

In this article, we apply common fixed point results in incomplete metric spaces to examine the existence of a unique common solution for the following systems of Urysohn integral equations and Volterra-Hammerstein integral equations, respectively: [Formula: see text] where [Formula: see text]; [Formula: see text] and [Formula: see text], [Formula: see text] and [Formula: see text] where [Formu...

OBSTETRIC shock is one of the most serious of the accidents associated with childbirth. Puerperal sepsis is the only condition responsible for a larger proportion of maternal deaths. Out of 141 consecutive deaths occurring in the Belfast Maternity Hospital, and the Royal Maternity Hospital, Belfast, during the ten years, 1927-36, twenty-three, i.e., 16.3 per cent., were due to obstetric shock. ...

Alismatis Rhizoma Decoction (ARD) is a classical Traditional Chinese Medicine (TCM) formula for treatment of vertigo with its long history of successful clinical effect. Since vertigo is a symptom of hyperlipidemia, this study aimed at evaluating the hypolipidemic effect of ARD in hyperlipidemia mice induced by high fat diet (HFD) and investigated the rationality of formula combination of Alism...

alismatis rhizoma decoction (ard) is a classical traditional chinese medicine (tcm) formula for treatment of vertigo with its long history of successful clinical effect. since vertigo is a symptom of hyperlipidemia, this study aimed at evaluating the hypolipidemic effect of ard in hyperlipidemia mice induced by high fat diet (hfd) and investigated the rationality of formula combination of alism...

This paper extends the scenario of the Four Color Theorem in the following way. Let [Formula: see text] be the set of all [Formula: see text]-uniform hypergraphs that can be (linearly) embedded into [Formula: see text]. We investigate lower and upper bounds on the maximum (weak) chromatic number of hypergraphs in [Formula: see text]. For example, we can prove that for [Formula: see text] there ...