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For positive integers $m$ and $n$, define $f(m,n)$ to be the smallest integer such that any subset $A$ of the $m \times n$ integer grid with $|A| \geq f(m,n)$ contains a rectangle; that is, there are ...
Let F be a 4-regular graph with an Euler system C. We introduce a simple way to modify the interlacement matrix of C so that every circuit partition P of F has an associated modified interlacement mat...
Most classification methods provide either a prediction of group membership or an assessment of class membership probability. In the case of two-group classifica-tion the predicted probability can be ...
A new approach to some Sobolev injections in R^n parallelepiped     Sobolev injections  parallelepiped       font style='font-size:12px;'> 2010/9/20
Using eigenvalues and eigenfunctions of −Δ with homogeneous Dirichlet boundary conditions on ∂Ω, where Ω is a parallelepiped of IRn , we prove some Sobolev injections.
Recently, in Data Envelopment Analysis (DEA) methodology, there are two type of efficiency measurement; radial and non-radial measure represented by the Charnes-Cooper-Rhodes (CCR) and the slack-based...
A new approach to incorporate uncertainty into Euler's method     Euler’s Method  Fuzzy Initial Value  Fuzzy Set       font style='font-size:12px;'> 2010/9/27
Fuzzy set provides a powerful technique to introduce uncertainty into numerical methods. However, the computations of fuzzy sets often face difficult problems. This is due to non-applicability of comm...
Most classification methods provide either a prediction of group membership or an assessment of class membership probability. In the case of two-group classification the predicted probability can be d...
A new approach to immersion theory     immersion theory  smooth immersions       font style='font-size:12px;'> 2010/3/3
A new approach to immersion theory。
Nonlinear phenomena play a crucial role in applied mathematics and physics. Analytic solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining Analytic solution...
A new approach of fracture mechanics     finite element  anisotropic mesh  crack  numerical methods       font style='font-size:12px;'> 2009/2/13
The present paper is a first step towards modelling cracks within the frame of finite element anisotropic meshes. We will consider 2-dimensional models with straight cracks. The non-classical FE mod...
A new approach of fracture mechanics     finite element  anisotropic mesh  crack  numerical methods       font style='font-size:12px;'> 2009/1/9
The present paper is a first step towards modelling cracks within the frame of finite element anisotropic meshes. We will consider 2-dimensional models with straight cracks. The non-classical FE mod...
In this paper, He’s variational iteration method (VIM) has been used to obtain solution of nonlinear gas dynamics equation. This method is based on Lagrange multipliers for identification of optimal ...
A New Approach on Constant Angle Surfaces in E3     Constant angle surfaces  Euclidean space       font style='font-size:12px;'> 2010/2/25
In this paper we study constant angle surfaces in Euclidean 3--space. Even that the result is a consequence of some classical results involving the Gauss map (of the surface), we give another approach...
A charged artificial satellite moving relative to a magnetic field accelerates in a direction perpendicular to its velocity and the magnetic field due to the Lorentz force. The geomagnetic field is ...
Data envelopment analysis is widely applied approach for measuring the relative efficiencies of a set of decision making units(DMUs) using various inputs to produce various output are limited to crisp...

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