We consider the problem of guillotine cutting a rectangular sheet into rectangular pieces with two heights. A polynomial time algorithm for this problem is constructed.

Consider a bicubic rectangular patch complex which surrounds an n-sided hole in R. Then the problem of filling the hole with n bicubic rectangular patches is studied.

We discuss a finite rectangular well as a perturbation for the infinite one with a depth λ of the former as a perturbation parameter. In particular we consider a behaviour of energy levels in the well as functions of complex λ. It is found that all the levels of the same parity are defined on infinitely sheeted Riemann surfaces which topological structures are described in details. These struct...

Fractional curl operator has been used to derive solutions to the Maxwell equations for fractional rectangular cavity resonator. These solutions to the Maxwell equations may be regarded as fractional dual solutions. Behavior of field lines and surface current density in fractional cavity resonator have been investigated with respect to the fractional parameter. Fractional parameter describes th...

MANY of the stationary corneal opacities causing diminution of vision are central, avascular, and superficial, and are surrounded by clear cornea or have a neighbouring peripheral clear corneal area of 4 x 4-5 mm. Donor homogenous corneal grafts are not always available, but a rectangular lamellar autogenous corneal. graft can be dissected and turned 1800 so that the clear lamellae are brought ...

Given a rectangular matrix with more columns than rows, nd a base of linear combinations of the row vectors such that these contain as many zero entries as possible. This process is called \sparsiication" (of the matrix). A combinatorial search method to solve sparsiication is presented which needs exponentially many arithmetic operations (in terms of the size of the matrix). However, various p...

We focus on the parallel access of randomly aligned rectangular blocks of visual data. As an alternative of traditional linearly addressable memories, we suggest a memory organization based on an array of memory modules. A highly scalable data alignment scheme incorporating module assignment functions and a new generic addressing function are proposed. To enable short critical paths and to save...

We introduce the class of lazy rectangular hybrid automata. The key feature of this class is that both the observation of the continuous state and the rate changes associated with mode switchings take place with bounded delays. We show that the discrete time dynamics of this class of automata can be effectively analyzed without requiring resetting of the continuous variables during mode changes.

This paper presents a way to construct the Sylvester A-resultant matrix for three bi-degree (m; n) polynomials whose exponent set is cut oo by rectangles at the corners. The paper also shows that the determinant of this matrix does give the resultant of the three polynomials.