Let T be a unit equilateral triangle, and T1, . . . , Tn be n equilateral triangles that cover T and satisfy the following two conditions: (i) Ti has side length ti (0 < ti < 1); (ii) Ti is placed with each side parallel to a side of T . We prove a conjecture of Zhang and Fan asserting that any covering that meets the above two conditions (i) and (ii) satisfies ∑n i=1 ti ≥ 2. We also show that ...

in the complex z = e -2H plane, where H is the reduced external magnetic field. At infinite temperature (T = m) the spins are noninteracting and the partition function reduces to (z 1í2 + z-ìë)~, where N is the total number of spins. The zeros are therefore N-fold degenerate at 8 = a. As the temperature is lowered, the zeros spread into an arc segment of the unit circle centered about 8 = 7r an...

For a brief history of the problem and a proof under stringent additional conditions see [2]. Let us first recall some of the known facts about such surfaces which we shall use. Proofs may be found in [l, §102]. Normalize the conjugate distance so it equals T. Then every geodesic is closed and has length 2ir. The mapping of any point into its conjugate point (determined uniquely, independently ...

Inappropriate initial antibiotics for pneumonia infection are usually linked to extended intensive care unit stay and are associated with an increased risk of mortality. This study evaluates the impact of inappropriate initial antibiotics on the length of intensive care unit stay, risk of mortality and the co-predictors that influences these outcomes. This retrospective study was conducted in a...

Averaging Operators on the Unit Interval Mai Gehrke, Carol Walker, Elbert Walker New Mexico State University, Las Cruces, New Mexico, USA In this paper we look at algebras consisting of the unit interval [0; 1] with the standard partial order together with an averaging operator. In working with negations and t-norms, it is not uncommon to call upon the arithmetic of the real numbers even though...

RATIONALE Patients with chronic obstructive pulmonary disease have shorter inspiratory muscles and higher motor unit firing rates during quiet breathing than do age-matched healthy subjects. Lung volume reduction surgery (LVRS) in patients with chronic obstructive pulmonary disease improves lung function, exercise capacity, and quality of life. OBJECTIVES We studied the effect of LVRS on leng...

The effectiveness of an orthogonal to backward mean transformation is investigated in the context a non-stationary panel data model. It shown that corresponding estimator as efficient Transformed Maximum Likelihood when autoregressive parameter equal unity. Furthermore, recently introduced bias-corrected version almost Pooled Least Squares estimator.

the aim of this study was to assess the effect of external focus of attention instruction during walking training on old women’s gait kinematic parameters including stride length, velocity, variability of velocity, cadence and double support percent. for this purpose, 16 old women (mean age 69.8+4 years) were selected and randomly assigned to experimental and control groups (each group 8 subjec...