∂-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy * B. Konopelchenko Abstract It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal Whitham hierarchy are nothing but classes of integrable deformations of quasiconformal mappings on the plane. Examples of deformations of quasiconformal mappings associated with explicit...

Consistent temperature control in an on-chip flow-through polymerase chain reaction (PCR) employing two or more heaters is one of the main obstacles for device miniaturization and integration when realizing micro total analysis systems (μTAS), and also leads to operational complexity. In this study, we propose a qiandu (right triangular prism)-shaped polydimethylsiloxane (PDMS) microdevice with...

Various mappings in the plane of ABC are defined in the context of a cevian nest consisting of ABC, a cevian triangle, and an anticevian triangle. These mappings arise as Ceva conjugates, cross conjugates, and cevapoints. Images of lines under these mappings and others, involving trilinear and conicbased poles and polars, include certain conics that are the focus of this article.

Perspective (route or survey) during the encoding of spatial information can influence recall and navigation performance. In our experiment we investigated a third type of perspective, which is a slanted view. This slanted perspective is a compromise between route and survey perspectives, offering both information about landmarks as in route perspective and geometric information as in survey pe...

Gradients of absolute binocular disparity across a slanted surface are often considered the basis for stereoscopic slant perception. However, perceived stereo slant around a vertical axis is usually slow and significantly under-estimated for isolated surfaces. Perceived slant is enhanced when surrounding surfaces provide a relative disparity gradient or depth step at the edges of the slanted su...

In this paper, we obtain some second order differential subordinations of holomorphic mappings on a bounded convex balanced domain Ω in C. These results imply some first order differential subordinations of holomorphic mappings on a bounded convex balanced domain Ω in C. When Ω is the unit disc in the complex plane C, these results are just ones of Miller and Mocanu et al. about differential su...