■ Abstract The genomes of higher cells consist of double-helical DNA, a densely charged polyelectrolyte of immense length. The intrinsic physical properties of DNA, as well as the properties of its complexes with proteins and ions, are therefore of fundamental interest in understanding the functions of DNA as an informational macromolecule. Because individual DNA molecules often exceed 1 cm in ...

In mathematical deformation theory one studies how an object in a certain category of spaces can be varied in dependence of the points of a parameter space. In other words, deformation theory thus deals with the structure of families of objects like varieties, singularities, vector bundles, coherent sheaves, algebras or differentiable maps. Deformation problems appear in various areas of mathem...

In these notes we’ll give an introduction to deformation theory and apply it to the special case of abelian schemes. We’ll start by defining the deformation functor and show how the cohomology groups of the sheaf of derivations of a scheme can be used to both determine if deformations exist and if so, what the set of deformations looks like. After that, we’ll introduce the 800 pound gorilla of ...

First three sections of this overview paper cover classical topics of deformation theory of associative algebras and necessary background material. We then analyze algebraic structures of the Hochschild cohomology and describe the relation between deformations and solutions of the corresponding Maurer-Cartan equation. In Section 6 we generalize the Maurer-Cartan equation to strongly homotopy Li...

Fast and realistic soft-tissue deformation is an important feature for medical simulation environments. In this work we present a direct deformation approach for volumetric datasets which is completely performed on the GPU. It takes on the one hand advantage of a GPU's computing power; on the other hand deformation is easily combined with hardware-supported rendering. Our deformation technique ...

A linear deformation of a Meyer set M in R is the image of M under a group homomorphism of the group [M ] generated by M into R. We provide a necessary and sufficient condition for such a deformation to be a Meyer set. In the case that the deformation is a Meyer set and the deformation is injective, the deformation is pure point diffractive if the orginal set M is pure point diffractive. AMS Cl...

This study determines dam deformation similarity indexes based on an analysis of deformation zoning features and panel data clustering theory, with comprehensive consideration to the actual deformation law of super-high arch dams and the spatial-temporal features of dam deformation. Measurement methods of these indexes are studied. Based on the established deformation similarity criteria, the p...

this research intends to develop a method based on the artificial neural network (ann) to predict permanent earthquake-induced deformation of the earth dams and embankments. for this purpose, data sets of observations from 152 published case histories on the performance of the earth dams and embankments, during the past earthquakes, was used. in order to predict earthquake-induced deformation o...

the deformation modulus of a rock mass is an important input parameter in any analysis of rock mass behavior for geotechnical projects such as dams. the determination of this parameter by in situ tests are time consuming and expensive. therefore, different researchers have proposed empirical relationships for estimating the value of rock mass deformation modulus. this work has been done by usin...