We explore some geometric aspects of compensation compactness associated to Jacobian determinants. We provide the optimal constant in Wente's inequality-the original motivation of this work-and go on to give various extensions to geometric situations. In fact we improve Wente's inequality somewhat, making it more appropriate for applications in which optimal results are required. This is demons...

abstract to investigate the effects of paclobutrazol (pbz) on vegetative and reproductive growth of strawberry cv. selva a factorial experiment in a completely randomized design with three replications was carried out in greenhouse of agriculture college, isfahan university of technology. pbz was applied in two methods, drench and foliar spray, at 0, 0.5, 1, 1.5 and 2 mg active ingredient per p...

We show that the existence of a maximal embedded tube in a hyperbolic n-manifold implies the existence of a certain conical region. One application is to establish a lower bound on the volume of the region outside the tube, thereby improving estimates on volume and estimates on lengths of geodesics in small volume hyperbolic 3-manifolds. We also provide new bounds on the injectivity radius and ...

OBJECTIVES To identify the factors that influence the accuracy of acoustic rhinometry measurements recorded with commercially available equipment. STUDY DESIGN A simple model was used which consisted of a metal pipe and cylindrical inserts. These inserts comprised various lengths, and aperture dimensions were comparable to, or smaller than, the nasal valve areas of both adults and children. ...

We present a generalized connectedness percolation theory reduced to a compact form for a large class of anisotropic particle mixtures with variable degrees of connectivity. Even though allowing for an infinite number of components, we derive a compact yet exact expression for the mean cluster size of connected particles. We apply our theory to rodlike particles taken as a model for carbon nano...

tuberose aesthetically and commercially is an important flower that its importance is due to its potential for trade of cut flower, long vase life and essential oil industry. it is cultivated commercially by bulbs is needed to their storing properly after the harvest and quiescence to increase yield and flowering quality so that can be regulated flowering time according to market. experiments w...