Half-circular channels, to be used for gas chromatography, were etched isotropically using a mixture of HF, HN09 and HzO. Two wafers with half-circular channels were bonded on top of each other to yield channels with a circular cross-section. During etching the so-called “loading effect” was encountered: the etch rate depends on the local structure density. To solve this, extra structures were ...

By making use of the MHD self-induction equation in general relativity (GR), recently derived by Clarkson and Marklund (2005), it is shown that when Friedmann universe possesses a spatial section whose Riemannian curvature is negative, the magnetic energy bounds computed by Nuñez (2002) also bounds the growth rate of the magnetic field given by the strain matrix of dynamo flow. Since in GR-MHD ...

an analytical solution is presented for displacements and stresses of a three dimensional linear hyperelastic transversely isotropic layer bonded on the top of a transversely isotropic half-space subjected to an arbitrary, time-harmonic surface tangential force. the equations of equilibrium in terms of displacements are uncoupled by using a set of two potential functions introduced by eskandari...

objective: in this paper, finite element model of the l4 vertebra subjected to combination of compression and flexion loading in isotropic and anisotropic cases is investigated. methods: in both cases, the vertebra is considered homogeneous. also, the body of vertebra is divided to cancellous and cortical sections in anisotropic model, but the process is assumed isotropic such as isotropic mode...

We study the kinetics of the isotropic-smectic phase transition in a colloidal rod/polymer mixture by visualizing individual smectic layers. First, we show that the bulk isotropic-smectic phase transition is preceded by a surface freezing transition in which a quasi-two-dimensional smectic phase wets the isotropic-nematic interface. Next, we identify a two-step kinetic pathway for the formation...

this paper is concerned with investigation of vertical impedance function of a surface rigid circular foundation resting on a semi-infinite transversely isotropic alluvium. to this end, the equations of motion in cylindrical coordinate system, which because of axissymmetry are two coupled equations, are converted into one partial differential equation using a method of potential function. the g...

Compressed sensing is the art of reconstructing a sparse vector from its inner products with respect to a small set of randomly chosen measurement vectors. It is usually assumed that the ensemble of measurement vectors is in isotropic position in the sense that the associated covariance matrix is proportional to the identity matrix. In this paper, we establish bounds on the number of required m...

Topographic attributes (TAs) play an important role in quantitatively describing the characteristics of landform and its structure. At present, TAs are classified from different views by many scientists being from various fields. However, there are still some urgent problems that need to be clarified about TAs. The relationships and differences of various TAs are not revealed and a mature, wide...

Marcus, Spielman, and Srivastava in their seminal work [MSS13b] resolved the KadisonSinger conjecture by proving that for any set of finitely supported independently distributed random vectors v1, . . . , vn which have “small” expected squared norm and are in isotropic position (in expectation), there is a positive probability that the sum ∑ viv ⊺ i has small spectral norm. Their proof cruciall...

The first and most important step in processing data in transversely isotropic (TI) media for which velocities vary with depth is parameter estimation. The multilayer normal-moveout (NMO) equation for a dipping reflector provides the basis for extending the TI velocity analysis of Alkhalifah and Tsvankin to vertically inhomogeneous media. This NMO equation is based on a root-mean-square (rms) a...