A generalization of the random geometric graph (RGG) model is proposed by considering a set of points uniformly and independently distributed on a rectangle of unit area instead of on a unit square [0,1](2). The topological properties of the random rectangular graphs (RRGs) generated by this model are then studied as a function of the rectangle sides lengths a and b=1/a, and the radius r used t...

A latin rectangle is an m × n array, m ≤ n, from the numbers 1, 2, . . . , n such that each of these numbers occur in each row and in each column at most once. A critical set in an m×n array is a set S of given entries, such that there exists a unique extension of S to a latin rectangle of size m×n. If we index the rows and columns of an m×n array, m ≤ n, by the sets M = {1, 2, . . . ,m} and N ...

This report summarizes the results of 64 percutaneous catheter drainage of abdominal abscesses and fluid collections in 56 patients. Aspiration and drainage was guided with computed tomography in 34 patients and with ultrasound in 30 patients. Success rate was 90%. Infected collections were successfully drained in 94% and noninfected collections in 72% . Partial success was achieved in two...

This paper proposes a new algorithm to extract the rectangle in images. It’s goal is to meet the requirement of the truck’s compartment positioning and assure that some work are done inside the truck’s compartment. Firstly, the Canny operator is used to calculate the edge of the image, because it is sensitive to the image texture features. Secondly, the Canny edge is transformed with the Hough ...

We consider arrangements of axis-aligned rectangles in the plane. A geometric arrangement specifies the coordinates of all rectangles, while a combinatorial arrangement specifies only the respective intersection type in which each pair of rectangles intersects. First, we investigate combinatorial contact arrangements, i.e., arrangements of interior-disjoint rectangles, with a triangle-free inte...

This paper reports regional drainage patterns observed during the development of surface drainage maps from aerial photographs of sev­ eral counties in Indiana. This drainage mapping is a part of the current highway research program at Purdue University. The airphotos used in this work were taken during 1937-1943 in connection with the United States Department of Agriculture map program. The pr...

Existence and boundedness is proved for the solutions of a boundary value problem two-dimensional Broadwell model in rectangle. The influence orientation relation to sides rectangle on form analysed. Exact are found use determine accommodation coefficients at boundaries fluid flow rectangular box.