In this paper the similarity solutions of the Prandtl boundary layer equations describing a nonNewtonian power law fluid past an impermeable flat plate, driven by a power law velocity profile ) 0 ( > = B By U σ have been investigated. It is shown that there are analytical solutions for any 2 , 0 ≠ > n n and any 0 2 / 1 < ≤ − σ . We give a method for the determination of the power series solutio...

The paper presents the semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a stretching sheet caused by boundary layer of an incompressible viscous flow. The governing partial differential equations of momentum equations are reduced into a nonlinear ordinary differential equation (NODE) by using a classical similarity transformation along with appropriate boundary cond...

We present two-dimensional numerical simulations of gravitational collapse of a rotating cloud. The collaping cloud forms a dynamically contracting disk. The disk structure can be well reproduced by a similarity solution. The similarity solution has only two parameters, the sound speed (cs) and the ratio of the speci c angular momentum to the mass (!). The disk mass is independent of the mass o...

Algebras generated by strictly positive matrices are described up to similarity, including the commutative, simple, and semisimple cases. We provide sufficient conditions for some block diagonal matrix algebras be a set of nonnegative similarity. Also we find all realizable dimensions two semi-commuting matrices. The last result provides solution problem posed M. Kandi?, K. Šivic (2017) [13].

This paper proposes a clustering approach that explores both the content and the structure of XML documents for determining similarity among them. Assuming that the content and the structure of XML documents play different roles and importance depending on the use and purpose of a dataset, the content and structure information of the documents are handled using two different similarity measurin...

A numerical solution of the steady boundary layer equations under similarity assumptions is obtained for the three-dimensional flow of a micropolar fluid over a continuous stretching surface. The case when microrotation vector is zero on the solid surface is considered. Using properly similarity variables, the three-dimensional Navier – Stokes equations are reduced to a set of four coupled non-...

In this paper we consider the problem of combining and updating estimates that may have been generated in a distributed fashion or may represent estimates, generated at different times, of the same process sample path. The first of these cases has applications in decentralized estimation, while the second has applications in updating maps of spatiallydistributed random quantities given measurem...

Text Document Clustering is one of the fastest growing research areas because of availability of huge amount of information in an electronic form. There are several number of techniques launched for clustering documents in such a way that documents within a cluster have high intra-similarity and low inter-similarity to other clusters. Many document clustering algorithms provide localized search...

Nosofsky (1986) proposed and tested a unified quantitative approach to modeling performance in tasks of multidimensional stimulus identification and categorization. The approach was based on the assumption that both identification and categorization decisions are governed by similarity comparisons with individually stored exemplars. By modeling patterns of identification confusions, a multidime...