We discuss the set of wavefunctions $\psi_V(t)$ that can be obtained from a given initial condition $\psi_0$ by applying flow Schr\"odinger operator $-\Delta + V(t,x)$ and varying potential $V(t,x)$. show this has empty interior, both as subset sphere in $L^2(\mathbb{R}^d)$ trajectories.

We present secondary electron yield (SEY) characterization of high porosity surfaces for multipactor-free microwave components. first calculate the SEYs through using Monte Carlo simulations. demonstrate that these can be treated as homogeneous materials with low effective SEYs. prove a significant SEY reduction is attainable by porosities, and above certain level, entire surface falls below un...

Production of rainfed summer crops like maize (Zea mays L.) must adapt to a changing climate and retain high productivity. Using diverse hybrids in the same stand is simple way unpredictable stresses during growing season. However, some are available at price premium therefore their use needs be cleverly incorporated system balance cost economic return. In two-year study Pennsylvania, we evalua...

The design and optimization of reactor networks using the conventional concept of attainable region is based on technological, rather than, economical criteria. The solution from the economical point of view when the operating and investment costs cannot be neglected may not be optimal, not even in regard to the structure. In order to circumvent this deficiency, the conventional Concentration A...

In this paper, we study both concepts of geodetic dominatingand edge geodetic dominating sets and derive some tight upper bounds onthe edge geodetic and the edge geodetic domination numbers. We also obtainattainable upper bounds on the maximum number of elements in a partitionof a vertex set of a connected graph into geodetic sets, edge geodetic sets,geodetic domin...

FT-Raman Spectra of Saffron (crocus sativus L.) with a partial assignment is reported. Based on the Raman data, it is concluded that main pigments in saffron are crocins and crocetin. It is proposed that the quickly attainable FT-Raman spectrum of solid saffron, may be used as a means of saffron standardization.