Electron microscopy is used in biological research to study the ultrastructure at high resolution to obtain information on specific cellular processes. Serial block face-scanning electron microscopy is a relatively novel electron microscopy imaging technique that allows three-dimensional characterization of the ultrastructure in both tissues and cells by measuring volumes of thousands of cubic ...

We show that there exists a separable reflexive Banach space into which every separable uniformly convex Banach space isomorphically embeds. This solves a problem of J. Bourgain. We also give intrinsic characterizations of separable reflexive Banach spaces which embed into a reflexive space with a block q-Hilbertian and/or a block p-Besselian finite dimensional decomposition.

Networks or graphs can easily represent a diverse set of data sources that are characterized by interacting units or actors. Social networks, representing people who communicate with each other, are one example. Communities or clusters of highly connected actors form an essential feature in the structure of several empirical networks. Spectral clustering is a popular and computationally feasibl...

This thesis discusses the investigation of various aspects of templated self-assembly of block copolymer (BCP) thin films for nanofeature fabrication. Two chapters outline the research of a combined physical and chemical templating method with two BCPs. The method was not effective in templating poly(styrene-block-methyl methacrylate) (PS-b-PMMA) BCP because of limited template wettability. The...

Abstract 2-dimensional (2D) block spread direct sequence-code division multiple access (DS-CDMA) allows mutli-rate without causing uplink multi-access interference (MAI) in the presence of a frequency-selective fading channel. However, in a cellular system, the inter-cell interference remains. The site selection diversity (SSD) can be used to reduce the inter-cell interference and increase the ...

This paper is contributed to a fast algorithm for Hankel tensor–vector products. First, we explain the necessity of fast algorithms for Hankel and block Hankel tensor–vector products by sketching the algorithm for both one-dimensional and multi-dimensional exponential data fitting. For proposing the fast algorithm, we define and investigate a special class of Hankel tensors that can be diagonal...

Abstract One of the most basic problems in compressed sensing is solving an under-determined system of linear equations. Although this problem seems rather hard certain l1-optimization algorithm appears to be very successful in solving it. The recent work of [14,28] rigorously proved (in a large dimensional and statistical context) that if the number of equations (measurements in the compressed...

A video coding method is proposed which is based upon fractal block coding. The method utilizes a novel three-dimensional partitioning of input frames for which a number of efficient block-matching search methods can be used, and permits spatio-temporal splitting of the input blocks to improve overall-encoding quality. After describing the basic fractal block coding algorithm, the details of th...

Low-rank tensors are an established framework for the parametrization of multivariate polynomials. We propose to extend this by including concept block-sparsity efficiently parametrize homogeneous, polynomials with low-rank tensors. This provides a representation general as sum polynomials, represented block-sparse, show that can be concisely single tensor. further prove cases, where particular...

The registration and alignment of a monolayer of microdomains in a self-assembled block copolymer thin film can be controlled by chemical or physical templating methods. Although planar patterns are useful for nanoscale device fabrication, three-dimensional multilevel structures are required for some applications. We found that a bilayer film of a cylindrical-morphology block copolymer, templat...