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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...
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...
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^...
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...
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.
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...
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...
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...
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...
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...
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...
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...
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 ...
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....
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...

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