This paper is devoted to the study of nonlinear geometric optics in Colombeau algebras of generalized functions in the case of Cauchy problems for semilinear hyperbolic systems in one space variable. Extending classical results, we establish a generalized variant of nonlinear geometric optics. As an application, a nonlinear superposition principle is obtained when distributional initial data ar...

The aim of this paper is to carried out statistical analysis for optimization of various concrete mix proportions by using full factorial experimental technique. The variables such as 28 days cube compressive strength, water to cement ratio (w/c), coarse aggregate to total aggregate ratio (CA/TA) and total aggregate to cement ratio (TA/C) were the parameters to be used for optimization. Four w/...

This paper describes a method for the determination of the four grasping points that are necessary to get a force closure grasp for a planar object considering frictionless contacts. The geometric model of the object is assumed to be unknown. The proposed approach starts from the object boundary obtained from the binary digitalization of an object image, and then uses the dual representation of...

Geometric crossover is a representation-independent definition of crossover based on the distance of the search space interpreted as a metric space. It generalizes the traditional crossover for binary strings and other important recombination operators for the most frequently used representations. Using a distance tailored to the problem at hand, the abstract definition of crossover can be used...

Geometric functionality is crucial for a variety of application domains, including computational mechanics. Typically, geometric tasks are embedded into a larger problem frame. Due to the diversity of tasks, geometric tools must often be combined to achieve the desired solution. As implementing geometric algorithms is difficult and time-consuming, reusing them is highly desirable. Unfortunately...

Many accuracy measures have been proposed in the past for time series forecasting comparisons. However, many of these measures suffer from one or more issues such as poor resistance to outliers and scale dependence. In this paper, while summarising commonly used accuracy measures, a special review is made on the symmetric mean absolute percentage error. Moreover, a new accuracy measure called t...