A new metric is introduced for comparing matrix data sets based on QR-factorizations. The metric measures the degree of similarity between the bases of any two matrices, with measure values in the interval [0, 1]. The metric is initially developed in a general framework, for any m×n matrix. The proposed measure is then discussed specifically in reference to matrices representing theoretical and physical data sets. The measure has direct applications for projects involving particle travel, and image recognition, comparison, and registration, particularly in instances involving intermodal data acquisition. The measure is shown to satisfy the requirements for a metric and is demonstrated to calculate rotation angle between two data sets that differ by angle, θ. The results show that the metric works well in assessing differences between data sets that differ by small perturbations, assuming proper alignment prior to comparison. It is also shown to be an effective tool for 1) determining optimal rotational alignment of test 2 − D images and 2) identifying an unknown sample in a data base in a single blind test.
A set S of vertices of a graph G = (V, E) with no isolated vertex is a total dominating set if every vertex of V(G) is adjacent to some vertex in S. The total domination number is the minimum cardinality of a total dominating set of G. In this paper, we study the total domination in generalized Petersen graphs P(ck,k). The upper bounds of the total domination number of generalized Petersen graphs P(3k,k) and P(4k,k) are obtained.
Human skin segmentation is fundamental to a wide range of computer vision applications ranging from face recognition, facial expression recognition and gesture analysis to various human computer interaction domains. In this paper, we propose a multistage skin segmentation method built as a cascade of a nonparametric generic model and an adaBoost classifier. Several entities are used to train the adaBoost classifier. Feature vectors fed into the ada Boost contain color information from two different color spaces. Extensive experiments are conducted on two datasets in order to evaluate the performance of the approach. The various results obtained show that the proposed method is a promising approach and it successfully achieves high quality segmentation, while concurrently retaining reasonably low false alarm rates. The comparison of the proposed method with related state-of-the-art competitors reveals the superiority and effectiveness of the proposed method, while maintaining real-time performance.
The unsteady MHD flow of visco-elastic fluid past an infinite oscillating porous plate in slip flow regime is investigated. The unsteady equations of the governing flow are solved by perturbation technique for elastic parameter is least. The mathematical expressions for the velocity, temperature, concentration distributions have been derived analytically and also its behaviour is computationally discussed with reference to different flow parameters with the help of graphs. Also the skin friction, the Nusselt number and the Sherwood number are also obtained analytically and their behaviour is discussed computationally.
Let R be a ring with identity, and M is a unitary R-module. In this paper we introduce and study the concepts of pseudo lifting modules and give basic properties, examples and characterizations of these concepts.
The software is a cheaper alternative to the other expensive commercial softwares that perform the same functions. Also, with the additional advantage of being web based, it is now possible to do hydrate simulations on the go, which erstwhile could not have been done. It is also intended to further develop the software into a fully robust solids deposition simulation suite.
Free particle bound states - which exist only as microscopic systems - are discussed in quantum field theory assuming a QED like Lagrangian with fermion and boson fields. Due to a particular structure, severe boundary conditions can be defined related to geometry, momentum and energy-momentum conservation. Applied to hadrons and atoms, masses or binding energies as well as root mean square radii - which are different by many orders of magnitude between hadrons and atoms - are well described. The fulfillment of a total of about 10 boundary conditions (with three adjustable parameters only) can be considered as a unique and precise test of the mathematical structure of the underlying field theory.