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In the present paper a criteria for a rectangular diagram to admit a simplification is given in terms of Legendrian knots. It is shown that there are two types of simplifications which are mutually in...
Nonlinear free flexural vibrations of functionally graded rectangular and skew plates under thermal environments
Functionally graded plate nonlinear free vibration aspect ratio temperature gradient index
2011/9/21
Abstract: The nonlinear formulation developed based on von Karman's assumptions is employed to study the free vibration characteristics of functionally graded material (FGM) plates subjected to therma...
The probability of rectangular unimodular matrices over $\F_q[x]$
Natural density unimodular matrices Riemann’s zeta function q-zeta function finite field polynomial ring
2011/9/13
Abstract: In this note, we compute the probability that a $k\times n$ matrix can be extended to an $n\times n$ invertible matrix over $\F_q[x]$, which turns out to be $(1-q^{k-n})(1-q^{k-1-n})...(1-q^...
Rectangular Mixed Elements for Elasticity with Weakly Imposed symmetry Condition
Rectangular Mixed Elements Elasticity symmetry Condition
2011/1/19
We present new rectangular mixed nite elements for linear elasticity.The approach is based on a modi cation of the Hellinger-Reissner functional in which the symmetry of the stress eld is enforced w...
Two remarks on rectangular mixed finite elements for elasticity
Two remarks rectangular finite elements elasticity
2011/1/19
The lowest order nonconforming rectangular element in three dimen-sions involves 54 degrees of freedom for the stress and 12 degrees of freedom for the displacement.
Applications of operational calculus: Equations for rectangular arrays of four and five data
Interpolation shifting operator rectangular data array operational equations
2010/11/1
Selections of equations for four or five data in rectangular array are seldom encountered in textbooks. New methods illustrate polynomial and exponential equations for the two designs. The methods are...
Applications of operational calculus: Rectangular prisms and the estimation of a missing datum
Interpolation data replacement operational equations
2010/9/21
Operational equations can be used for the estimation of data missing from prismatic arrays. This paper continues the discussion of that subject. New interpolating equations for data in prismatic and r...
On the asymptotic distribution of singular values of products of large rectangular random matrices
asymptotic distribution of singular values of products large rectangular random matrices
2011/1/21
We consider products of independent large random rectangular matrices with independent entries. The limit distribution of the expected empirical distribution of singular values of such products is com...
Calculation of generalized Hubbell rectangular source integral
Appell hypergeometric functions F2 Hubbell radiation rectangular source integral
2010/12/3
A simple formula for computing the generalized Hubbell radiation rectangular source integral
H a, b, p, λ α, β, γ = σa 4π Z b 0 x(x2 + p)− 2F1(α, β; γ;− a2\ x2 + p )dx, is introduce...
3D Polyominoes inscribed in a rectangular prism
polycube inscribed polyomino enumeration rectangular prism generating function
2010/12/13
We introduce a family of 3D combinatorial objects that we define as minimal 3D polyominoes
inscribed in a rectanglar prism. These objects are connected sets of unitary cubic cells inscribed in a give...
A new method for solving of rectangular fuzzy linear system of equations based on Greville's algorithm
fuzzy linear system of equations Greville ’s method
2010/9/10
Linear systems have important applications to many branches of science and engineering. In many applications, at least some of the parameters of the system are represented by fuzzy rather than crisp n...
Analytic solution of liquid flow in rectangular PDMS-GLASS microchannel with wall slip and electro-viscous effects
Microchannel Electric double layer Wall slip
2010/9/15
In microfluidic system flow slip velocity on solid wall can be the same order of magnitude as the characteristic velocity in microchannel. This paper presents an analytic solution of pressure-driven l...
Improved Zonal Method Predictions in a Rectangular Furnace by Smoothing the Exchange Areas
Zone method exchange areas smoothing methods rectangular enclosure
2009/10/9
A numerical study was conducted by the means of the Hottel’s zone method based on the concept of the exchange areas associated with the weighted sum of grey gases model (WSGG model). 2D computational ...
On Weighted Partial Orderings on the Set of Rectangular Complex Matrices
Weighted partial ordering Matrix function Singular value ecomposition
2010/1/22
In this paper, the relations between the weighted partial orderings on the set of rectangular complex matrices are first studied. Then, using the matrix function defined by Yang and Li [H. Yang and H....
An exact solution for the deflection of a clamped rectangular plate under uniform load
Rectangular plate clamped plate deflection
2010/9/16
Rectangular plates under uniform load, x = ±a, y = ±b, are considered.An exact solution is presented in which each term of the series is trigonometric and hyperbolic, and identically satisfies the bou...