On Surface Area

Effect of surface tension on alveolar surface area.

At fixed lung volume (VL), alterations in surface tension change alveolar surface area (S) and lung recoil (PL). Wilson (26), using data from fixed lungs (1, 9), quantified the isovolume change in S with PL. We reexamined this question in fresh excised rabbit lungs, with two important differences. First, we measured fractional changes in S by using diffuse light scattering, avoiding the potenti...

On the p-affine surface area

Preparation of High Surface Area ZrO2 Nanoparticles

In comparison to the previous researches, ZrO2 nanoparticles with higher surface area (85 m2/g) have been synthesized in this research. The as-prepared ZrO2 nanoparticles by co-precipitation method were characterized with X-Ray Diffraction (XRD), Scanning Electron Microscopy (SEM) and Transmission Electron Microscopy (TEM). The surface area of the s...

Area-preserving Surface Diffeomorphisms

We prove some generic properties for Cr , r = 1, 2, . . . ,∞, areapreserving diffeomorphism on compact surfaces. The main result is that the union of the stable (or unstable) manifolds of hyperbolic periodic points are dense in the surface. This extends the result of Franks and Le Calvez [8] on S to general surfaces. The proof uses the theory of prime ends and Lefschetz fixed point theorem.

Surface Area of Ellipsoids

A. We study the surface area of an ellipsoid in E as the function of the lengths of theirmajor semi-axes. Wewrite down an explicit formula as an integral over Sn−1, use the formula to derive convexity properties of the surface area, to sharpen the estimates given [6], to produce asymptotic formulas in large dimensions, and to give an expression for the surface in terms of the Lauricella ...