9 citations · 25 across the 17 of their papers we have counts for
17 papers
The probabilities for the number of intersections in the Buffon-Laplace needle problem in
Uwe Bäsel
In 1974, Stoka solved Buffon's needle problem in , , i.e. he found a closed form solution for the probability that a line segment ("needle") with length $\el…
Application of complex-valued functions in plane differential geometry and kinematics
Uwe Bäsel
In this paper, we discuss some problems of elementary plane differential geometry and kinematics. Although the results are not new, the consistent use of complex-valued functions (…
The moments of the distance between two random points in a regular polygon
Uwe Bäsel
In this paper, we derive formulas for the analytical calculation of the moments of the distance between two uniformly and independently distributed random points in an -sided re…
Determining the geometry of noncircular gears for given transmission function
Uwe Bäsel
A pair of noncircular gears can be used to generate a strictly increasing continuous function whose derivative is -periodic, wh…
Geometric probabilities for a cluster of needles and a lattice of rectangles
Uwe Bäsel
A cluster of needles () is dropped at random onto a plane lattice of rectangles. Each needle is fixed at one end in the cluster centre and can rotate independen…
Simple evaluation of one of Malmstén's integrals
Uwe Bäsel
The logarithmic integral no. 4.325.7 from Gradshteyn and Ryzhik's tables of integrals was first evaluated by Malmstén. Recently, Blagouchine used contour integration methods to eva…