If C ⊂ Pk is an integral curve and k an algebraically closed field of characteristic 0, it is known that the points of the general plane section C∩H of C are in uniform position. From this it follows easily that the general minimal curve containing C ∩ H is irreducible. If chark = p > 0, the points of C ∩H may not be in uniform position. However, we prove that the general minimal curve containi...

Our tactile graphical viewer recognizes the type of a handwritten input curve and displays it on a tactile display. We propose new recognition method and change function for input curves. With this recognition method, we propose a procedure to add new curve types. Using the change function, we are able to reduce the time taken to create the required curves. This system has functions to provide ...

For fuel economy of power system, Plug-in Hybrid Electric Vehicle (PHEV) should be charged late at night to level a load curve. This paper proposes an electricity pricing algorithm for load leveling, using variation method. Variation method is a mathematical technique that can bring a value of integral functional to the extreme value. We formulate a cost minimization problem of PHEV owners, reg...

In this paper we define a new linearity measure for open planar curve segments. We start with the integral of the squared distances between all the pairs of points belonging to the measured curve segment, and show that, for curves of a fixed length, such an integral reaches its maximum for straight line segments. We exploit this nice property to define a new linearity measure for open curve seg...

We consider the inverse problem to recover a part Γc of the boundary of a simply connected planar domain D from a pair of Cauchy data of a harmonic function u in D on the remaining part ∂D \ Γc when u satisfies a homogeneous impedance boundary condition on Γc. Our approach extends a method that has been suggested by Kress and Rundell [17] for recovering the interior boundary curve of a doubly c...

in this paper, the dual area vector of a closed dual spherical curve is kinematically generatedand the dual steineer vector of a motion are extensively studied by the methods of differential geometry.jacobi’s theorems, known for real curves, are investigated for closed dual curves. the closed trajectorysurfaces generated by an oriented line are fixed in a moving rigid body in ir3 , in which the...