This paper extends previous research in that sense that for orthogonal projections of rigid smooth (true-3D) curves moving totally free it reduces the number of required traceable points to two only (the best results known so far to the author are 3 points from free motion and 2 for motion restricted to rotation around a fixed direction and and 2 for motion restricted to influence of a homogene...

We investigate C0-semigroup generation properties of the Vlasov equation with general boundary conditions modeled by an abstract boundary operator H . For multiplicative boundary conditions we adapt techniques from [17] and in the case of conservative boundary conditions we show that there is an extension A of the free streaming operator TH which generates a C0semigroup (VH(t))t>0 in L. Further...

We consider the motion of a particle in a random isotropic force field. Assuming that the force field arises from a Poisson field in Rd, d ≥ 4, and the initial velocity of the particle is sufficiently large, we describe the asymptotic behavior of the particle. Mathematical Subject Classification: 60K37

Most common requirements for micromanipulation are high precision, parallel manipulation, cost, etc. In this paper, we examine a manipulation method that may be useful for these requirements. The presented method uses an actively generated friction force field as a driving force of manipulation, and the method can have several actuation modes depending on the sliding condition of the friction f...

The theory of complex variables is used to solve analytically the transcendental equation which defines the position, as a function of time, in an inverse-distance-squared force field, and thereby the desired solution is reduced to elementary quadrature.