Undulants Binary

Finally, binary undulants are powers of 2 that alternate the adjacent digits 1 and 0 somewhere in their decimal expansion. For example, the highest quality binary undulant I have found is It has the undulating binary sequence 101010 in it, which I have placed in parentheses in the following ... 

Other Undulants Binary Undulants beyond Imagination... 

These deviations were accounted by Strey et al.,8 who carried out experiments with the binary water—C12E5 system, by noting that the amplitude of the thermal undulations increased with the repeat distance d. If one considers the total area of the interface a constants which depends only on the number of surfactant molecules, the projection So of the total area on a plane perpendicular to d will decrease with increasing d. Hence, the apparent area per surfactant molecule, which is defined as the ratio between So and the total number of surfactant molecules, decreases with increasing d, while the ideal dilution law implies that the apparent area per surfactant molecule is a constant. The excess area, defined as AS = S — So, was related to the bending modulus of the interface,8 and the experimental results for the deviations from the ideal dilution law were used to determine. Kc-3,11 However, it should be noted that there are binary systems for which the deviations from the ideal dilution law occur in the opposite directions. For instance, in the binary systems of fatty acid alkali soaps/water, the apparent area per headgroup increases with water dilution, because of the incorporation of water in the interface.1... 

How do binary undulants vary with the base bl For example, for the case of b = 2, there are many binary undulants. Is it possible that as b increases, the quality of the best known cases decreases ... 

An interesting manifestation of surface flows in dip coating is a rib instability often observed near the reservoir in binary solvent systems and in some pure solvents (ethanol). Figure 50.10 shows a set of wavy interference fringes, indicative of a 20-nm thickness undulation that has a wave vector that runs perpendicular to the withdrawal direction. Typically, this undulation is a standing wave, but under some conditions (not well defined at... 

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