The station location problem consists of placing new stations along the railway tracks of an existing network in order to increase the number of users. In this paper we consider the problem for a railway network consisting of two intersecting lines forming an angle α. An approach for solving the problem in polynomial time for sufficiently large angles α is presented.

Two tetrahedra are called orthologic if the lines through vertices of one and perpendicular to corresponding faces of the other are intersecting. This is equivalent to the orthogonality of non-corresponding edges. We prove that the additional assumption of intersecting non-corresponding edges (“orthosecting tetrahedra”) implies that the six intersection points lie on a sphere. To a given tetrah...

In nonlinear conservation laws, there is a possibility of intersecting characteristic lines or even regions that are not traversed by lines. where two more lines, gradien catastrophic phenomenon can occur, resulting in the emergence breaking time, thus weak solution law considered. Such capable producing shock wave solutions at time. Additionally, rarefaction for do have characteristics. The co...

1. In the presence of the substrate benzylamine, phenethylhydrazine has been shown to be a competitive inhibitor of monoamine oxidase from rat liver and pig brain. 2. Phenethylhydrazine is also a substrate for monoamine oxidase. Reciprocal plots for hydrazine oxidation give families of intersecting lines in contrast with the parallel lines previously reported for tyramine oxidation. 3. Two poss...

Two connections between fullerene structures and alternating knots are established. Knots may appear in two ways: from zigzags, i.e., circuits (possibly self-intersecting) of edges running alternately left and right at successive vertices, and from railroads, i.e., circuits (possibly self-intersecting) of edge-sharing hexagonal faces, such that the shared edges occur in opposite pairs. A z-knot...

When using the original slope-intercept parameter-isation for the Hough transform, the resulting parameter space actually corresponds to the dual space. Indeed , lines are transformed into points, and for every point there is also a corresponding line. This paper presents a way of exploiting this special property, by the introduction of the Cascaded Hough Transform, or CHT for short. This allow...