We prove that the zeros of the polynomials Pm(a) of degree m, defined by Borosh and Moll via Pm(a) = 2m+3/2 π (a + 1) Z ∞ 0 dx (x4 + 2ax2 + 1)m+1 , approach the lemniscate {ζ ∈ C : |ζ − 1| = 1, Rζ < 0}, as m diverges.

In the case of elastic interaction between dislocations and point defects, complex interaction mechanisms can appear, which involve simultaneously depinning-repinning processes and dragging processes.

in order to simulate the rotating disk contactor all hydrodynamic parameters, dispersed phase hold-up, characteristic velocity, mean drop size, drop size distribution, axial mixing and mass transfer have been taken into account. mechanisms of mass transfer (stagnant, circulating, oscillating drops) were used in this study. column height found from effect of mean drop size and drop size distribu...

Geometrically, the theorem states that if a variety U/k becomes birationally equivalent to an Abelian variety over the algebraic closure of k, then it is birationally equivalent to an Abelian variety over k. (If k is a field with a discrete valuation, and ir is a prime element, then the curve defined by the equation X" + 7rY" + 7r2Zn = 0, with n = 3, shows that the conclusion of the theorem doe...

When two objects are presented in rapid succession, observers find it difficult to discriminate their temporal order. Below certain limit (e.g., 20-70 ms), the rate of correct temporal order judgement is reported to be about 50% (i.e., close to chance level). However we have found stimulus conditions where order discrimination drops significantly below chance level: the stimulus that is present...

Display environments for presentations are becoming diverse, and it is common to have multiple displays in the same room. We present a system to edit and give presentations using multiple displays. The main idea is to separate the content from the views. The author prepares presentation visuals (text and images) on an infinitely zoomable canvas, and then specifies what is shown in each display ...