This paper deals with the fusion of random variables when cross covariances are unknown. This is a vital problem in nearly every real world application since cross covariances are often impossible to obtain but also cannot be ignored. We provide a rigorous derivation of the fusion equations which are also known as covariance intersection. This approach allows us to derive an iterative scheme fo...

with A,B ∈ k. Then the rational point that comes with the curve is O = (0: 1 : 0), in the projective model Y Z = X +AXZ +BZ. There is a group law on an elliptic curve, given as follows. Let P,Q be points on the curve. Draw the unique line through P and Q (the tangent at P if they are equal) and find the unique third point of intersection, R, with the curve; this exists by Bézout’s theorem. Now ...

In this article we'll present the properties of the radicale axes and the adjoin circles of a triangle. Definition 1 Given a triangle ABC, we call the circle that passes through the vertexes C, A and it is tangent in the point A to the side AB, that it is an adjoin circle to the given triangle. Observations a) We note the circle from the above definition CĀ. b) To a triangle, in general, there ...

In this paper, we show that for any independence system, the problem of finding a persistency partition of the ground set and that of finding a maximum weight independent set are polynomially equivalent.

Assembly modelling deals with the spatial joining of rigid bodies in 3D-space for which constraint based modelling is a proven approach. The existing geometric constraint solvers do not satisfy all needs, there are still challenges for research. The two-body-problem (constraint intersection) and the three-body-problem (constraint composition) are subproblems which have exploitable properties on...