We compute the asymptotic behavior of average-case filling volume for certain models random Lipschitz cycles in unit cube and sphere. For example, we estimate minimal area a Seifert surface model knots first studied by Millett. This is generalization classical Ajtai--Koml\'os--Tusn\'ady optimal matching theorem from combinatorial probability. The author hopes applications to topology links, map...

Despite the urgent need to develop professional ethics regarding information behaviour, several obstacles exist in Japan. The greatest is the lack of individuals’ ethics of responsibility. To overcome this difficulty, we must examine and reflect on the historical circumstances that led to the formation of Japanese core ethics and on the sociocultural context that compensates for the lack of ind...

We derive some of the basic properties of weighted variable exponent Lebesgue spaces L p(.) w (R) and investigate embeddings of these spaces under some conditions. Also a new family of Wiener amalgam spaces W (L p(.) w , L q υ) is defined, where the local component is a weighted variable exponent Lebesgue space L p(.) w (R) and the global component is a weighted Lebesgue space Lυ (R) . We inves...

For any amalgam (S, T; U) of inverse semigroups, it is shown that the natural partial order on S *u T, the (inverse semigroup) free product of S and T amalgamating U, has a simple form onSUT. In particular, it follows that the semilattice of 5 *u T is a bundled semilattice of the corresponding semilattice amalgam (E(S), E(T); E(U)); taken jointly with a result of Teruo Imaoka, this gives that t...

OBJECTIVES We sought to assess the prognostic value of left ventricular (LV) filling patterns, as determined by mitral E-wave deceleration time (DT) and color M-mode flow propagation velocity (Vp), on cardiac death and serial changes in LV volumes after a first myocardial infarction (MI). BACKGROUND Combined assessment of DT and Vp allows separation of the effects of compliance and relaxation...

Left ventricular (LV) diastolic function in the absence and presence of regional ischemia was examined in eight conscious dogs chronically instrumented with ultrasonic devices for measuring LV wall thickness and volume. During treadmill exercise, ischemia was induced (hydraulic occluder) to produce less than 10% systolic wall thickening in the ischemic zone. LV filling was assessed by the peak ...