A cluster $Zn$ of $n$ line segments ($1leq n<infty$) is dropped at random onto two given lattices $Ra$ and $Rb$ of equidistant lines in the plane with angle $beta$ ($0<betaleqpi/2$) between the lines of $Ra$ and the lines of $Rb$. Formulas for the probabibilities $p$ of exactly $i$ ($0leq ileq 2n$) intersections between $Zn$ and $R=RacupRb$ are derived. The limit distribution of the random variable {em relative number of intersections between $Zn$ and $R$} as $nrightarrowinfty$ is calculated
What is the probability that a needle dropped at random on a set of points scattered on a line segme...
Dedicated to Professor Marius Stoka on the occasion of his 80th birthday Copyright c © 2014 D. Baril...
Dedicated to Professor Marius Stoka on the occasion of his 80th birthday Copyright c © 2014 D. Baril...
A cluster $Zn$ of $n$ line segments ($1leq n<infty$) is dropped at random onto two given lattices $R...
In this paper, we consider the truncated square tiling of the plane ((82, 4) Archimedean tiling) and...
In this paper, we consider the truncated square tiling of the plane ((82, 4) Archimedean tiling) and...
In this paper we compute the probability pS,R that a random seg-ment S whose length l is a bounded r...
In this paper we consider the snub square tiling of the plane ($(3^2,4,3,4)$ Archimedean tiling) and...
In this paper we consider the snub square tiling of the plane ($(3^2,4,3,4)$ Archimedean tiling) and...
In this paper we consider the elongated triangular tiling of the plane ($(3^3,4^2)$ Archimedean til...
Consider a line segment placed on a two-dimensional grid of rectangular tiles. This paper addresses ...
If n points are independently and uniformly distributed in a large rectangular parallelepiped, A in ...
Let En be the Euclidean space of n dimensions. We consider sets of line segments given at random in ...
We solve the Buffon-Laplace problem of calculating the probability that a "small" convex body T (reg...
If n points are independently and uniformly distributed in a large rectangular parallelepiped, A in ...
What is the probability that a needle dropped at random on a set of points scattered on a line segme...
Dedicated to Professor Marius Stoka on the occasion of his 80th birthday Copyright c © 2014 D. Baril...
Dedicated to Professor Marius Stoka on the occasion of his 80th birthday Copyright c © 2014 D. Baril...
A cluster $Zn$ of $n$ line segments ($1leq n<infty$) is dropped at random onto two given lattices $R...
In this paper, we consider the truncated square tiling of the plane ((82, 4) Archimedean tiling) and...
In this paper, we consider the truncated square tiling of the plane ((82, 4) Archimedean tiling) and...
In this paper we compute the probability pS,R that a random seg-ment S whose length l is a bounded r...
In this paper we consider the snub square tiling of the plane ($(3^2,4,3,4)$ Archimedean tiling) and...
In this paper we consider the snub square tiling of the plane ($(3^2,4,3,4)$ Archimedean tiling) and...
In this paper we consider the elongated triangular tiling of the plane ($(3^3,4^2)$ Archimedean til...
Consider a line segment placed on a two-dimensional grid of rectangular tiles. This paper addresses ...
If n points are independently and uniformly distributed in a large rectangular parallelepiped, A in ...
Let En be the Euclidean space of n dimensions. We consider sets of line segments given at random in ...
We solve the Buffon-Laplace problem of calculating the probability that a "small" convex body T (reg...
If n points are independently and uniformly distributed in a large rectangular parallelepiped, A in ...
What is the probability that a needle dropped at random on a set of points scattered on a line segme...
Dedicated to Professor Marius Stoka on the occasion of his 80th birthday Copyright c © 2014 D. Baril...
Dedicated to Professor Marius Stoka on the occasion of his 80th birthday Copyright c © 2014 D. Baril...