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In this study, the interfacial adhesion of Cu and TiN on an annealed borophosphosilicate glass (BPSG) in a multilayer material stack was investigated. The two material systems, Cu/BPSG and TiN/BPSG, are representatives for weak and strong interfaces, respectively. A weak and a strong interface was chosen to identify possible differences in the fracture path selection for the multilayer material systems. To investigate this, in situ 4-point-bending experiments were performed under an optical microscope and in a scanning electron microscope. Complementary ex situ 4-point-bending experiments were carried out on the identical material systems. These tests revealed that for the two analyzed systems there is a large discrepancy in the success rate of failure along the interface of interest, which is a prerequisite for determining the corresponding interface energy release rate. This phenomenon can be understood by using theoretical findings of earlier studies reported in the literature, which are in agreement with the experimental outcome of the in situ 4-point-bending measurements presented here.
The retina
Mathematical model of amphibian retina
The retina is composed of a variety of cell types including the photoreceptors, horizontal cells, bipolar cells, amacrine cells, and retina ganglion cells (for a review see Grüsser & Grüsser-Cornehls, 1976). Only the retina ganglion cells (RGCs) send axons to the brain of the animals. Therefore any visual information the brain may rely on is mediated by cells of this type.
According to their response properties the RGCs are usually divided into four classes, which here for simplicity are called R1, R2, R3, and R4. We have restricted our attention to the classes R2 and R3 because these form the majority (about 93%) of cells projecting to the tectum opticum, which is that area in the brain where recognition of prey objects is supposed to be centered.
The recognition process starts in the retina. The overall operation of the ganglion cells (R2, R3) and their precursors (photoreceptors, etc.) on some arbitrary visual scene can be decomposed into the following more primitive operational components:
(1) Let x(s, t) be any distribution of light in the visual field, where x denotes light intensity (we do not consider colored scenes), s = (s1, s2) some point in the visual field, and t is time.
(2) These ganglion cells do not respond to stationary, but only to transitory, illumination.
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