Inward and Outward Patriotism

Inward and Outward Integral Equations and the Kkr Method

Our main goals have been to calculate photonic bands on various periodic dielectric lattices, to clarify some controversy regarding existence of a photonic band gap for fcc lattice of dielectric spheres [1], and finally treat impurities in a photonic crystal [2]. Motivated by the search for a photonic band gap [3] we have tried to adapt one of the standard methods of electron band theory namely...

Photonic Band Gap Calculations : Inward and Outward Integral

Differences in intersaccadic adaptation transfer between inward and outward adaptation.

Saccadic adaptation is a mechanism to increase or decrease the amplitude gain of subsequent saccades, if a saccade is not on target. Recent research has shown that the mechanism of gain increasing, or outward adaptation, and the mechanism of gain decreasing, or inward adaptation, rely on partly different processes. We investigate how outward and inward adaptation of reactive saccades transfer t...

A Fixed-point Theorem for Inward and Outward Maps

The Schauder-Tychonoff theorem states that a continuous function from a compact convex subset of a locally convex topological vector space into itself must have a fixed point ([1, Chapter V, 10.5], or [2]). Using this theorem, we obtain here a stronger result, stating that a map from such a set into the surrounding vector space has a fixed point if the directions in which the points are moved s...

Inward and outward membrane tubes pulled from giant vesicles

Membrane nanotubes are extruded from giant unilamellar lipid vesicles using a controlled hydrodynamic flow and membrane-attached beads manipulated via optical tweezers. Within a single experiment, the technique can be used to assess various important mechanical and rheological characteristics of the membrane such as the bending rigidity, tension and intermonolayer slip. The application of small...