One-dimensional arrays of nucleosomes (DNA-bound histone octamers separated by stretches of linker DNA) fold into higher-order chromatin structures which ultimately make up eukaryotic chromosomes. Chromatin structure formation leads to 10-11 base pair (bp) discretization of linker lengths caused by the smaller free energy cost of packaging nucleosomes into regular chromatin fibers if their rota...

The present study concerns compressive and flexural constitutive models incorporated into an isoparametric beam finite element scheme for fiber reinforced polymer (FRP) and concrete composites, using their multi-axial constitutive behavior. The constitutive behavior of concrete was treated in triaxial stress states as an orthotropic hypoelasticity-based formulation to determine the confinement ...

In this paper we show the connection between the q-deformation and discrete time, starting from the q-deformed Heisenberg uncertainty relation and q-deformation calculus. We show that time has discrete nature and for this case we construct the connection between quantum information and spacetime via fiber space structure. 1 Heisenberg uncertainty relation, q-deformation and discretization of sp...

1. Abstract Composite plates are designed in order to maximize the performance with respect to eigenfrequencies. The plates are considered to be laminates where the individual plies consist of orthotropic material. The design task is the orientation of the orthotropic material in each element of the discretization and the ratio between the amounts of material put in the two directions of the fi...

The area of knowledge discovery and data mining is growing rapidly. A large number of methods are employed to mine knowledge. Many of the methods rely of discrete data. However, most of the datasets used in real application have attributes with continuous values. To make the data mining techniques useful for such datasets, discretization is performed as a preprocessing step of the data mining. ...

We prove the convergence of a hybrid discretization to the viscosity solution of the elliptic Monge-Ampère equation. The hybrid discretization uses a standard finite difference discretization in parts of the computational domain where the solution is expected to be smooth and a monotone scheme elsewhere. A motivation for the hybrid discretization is the lack of an appropriate Newton solver for ...

The paper presents an adaptive section discretization scheme for the inelastic response analysis of structural members with cross sections that can be decomposed into rectangular and circular subdomains. Each subdomain consist a different material. As long as largest strain in does not exceed specified trigger values, contribution to is determined by numerically exact cubature rule subdomain. O...

Accurate constitutive models of the constituent materials in a reinforced concrete (RC) section, namely, unconfined concrete, confined concrete and reinforcing steel are necessary in fiber-based discretization of RC components for use in nonlinear analysis of RC structures. This paper examines the sensitivity to different constitutive models in predicting the inelastic seismic behavior of RC fr...

There is a tradeoff between speed and accuracy in fitness evaluations when various discretization sizes are used to estimate the fitness. This paper introduces discretization scheduling, which varies the size of the discretization within the GA, and compares this method to using a constant discretization. It will be shown that when scheduling the discretization, less computation time is used wi...

We investigate why discretization is effective in naive-Bayes learning. We prove a theorem that identifies particular conditions under which discretization will result in naiveBayes classifiers delivering the same probability estimates as would be obtained if the correct probability density functions were employed. We discuss the factors that might affect naive-Bayes classification error under ...