We present a data structure for efficient axis-aligned orthogonal range search on a set of n lines in a bounded plane. The algorithm requires O(log n+ k) time in the worst case to find all lines intersecting an axis aligned query rectangle R, where k is the number of lines in range. O(n + λ) space is required for the data structure used by the algorithm, where λ is the number of intersection po...

We prove that if α ∈ (0, 1/2], then the packing dimension of a set E ⊂ ℝ2 for which there exists lines 1 intersecting in Hausdorff ≥ is at least 1/2 + c(α)for some c(α) > 0. In particular, this holds α-Furstenberg sets, is, sets having intersection with one line every direction. Together an earlier result T. Orponen, provides improvement over “trivial” estimate all values 1). The proof extends ...

Solution of In-Class Exercise 1: Lines Intersecting Segment Let s be a line segment in the plane R, and let u, v 2 R be the two endpoints that delimit it. Let furthermore L be the set of all non-vertical lines l that intersect s. A simple characterization of L would be that any non-veritcal line l is contained in L if and only if one of the following occurs: (i) l contains u or (ii) l contains ...

We present a new approach to detecting isolated closed stream lines in 2D vector fields. This approach is based on the idea of transforming the 2D vector field into an appropriate 3D vector field such that detecting closed stream lines in 2D is equivalent to intersecting certain stream surfaces in 3D. Contrary to pre-existing methods, our approach does not rely on any underlying grid structure ...

A novel method for recognition of telugu character is proposed in this paper. The proposed method uses extraction of critical points of the characters based on grid and radial intersections analysis. The extracted critical points are classified based on the grid and radial lines, which helps in improving accuracy in recognition of characters. The algorithm is tested on various data sets and the...

We construct various new BPS states of D-branes preserving 8 supersymmetries. These include super Jackstraws (a bunch of scattered Dor (p, q)-strings preserving supersymmetries), and super waterwheels (a number of D2-branes intersecting at generic angles on parallel lines while preserving supersymmetries). Super D-Jackstraws are scattered in various dimensions but are dynamical with all their i...

The wave-like damage structures on the entrance surface of optical media, which observed in various experimental studies with nanosecond laser pulses, are analysed. Sometimes such appear as a system straight lines intersecting at an-gles defined by crystallography sample. It is proposed that stimulated radial scattering layer sample responsible for their formation. Keywords: radical scattering,...

Now a day’s Signature verification is one of the most important features for checking the authenticity of a person. There are many security checking parameters like pin code, password, finger print checking but signature recognition is the most popular because it is quite accurate and cost efficient too. On the other hand one doesn’t have to remember the authentication key like pin code or pass...

This brief article traces the intersecting lines and stories of this special issue on Deleuze intimacy. It offers a take how it found its way onto these pages after nearly 2 years through two conference symposia, outlines contributions—variously differently—make case for intimacy, Deleuze, as an approach to, subject of, and/or necessary vital affective force in, research—and beyond.