‎in this work‎, ‎first the differential equation characterizing position vector‎ ‎of spacelike curve is obtained in lorentzian plane $mathbb{l}^{2}.$ then the‎ ‎special curves mentioned above are studied in lorentzian plane $mathbb{l}%‎‎^{2}.$ finally some characterizations of these special curves are given in‎ ‎$mathbb{l}^{2}.$‎

This paper presents bounds on the quality of partitions induced by space-filling curves. We compare the surface that surrounds an arbitrary index range with the optimal partition in the grid, i. e. the square. It is shown that partitions induced by Lebesgue and Hilbert curves behave about 1.85 times worse with respect to the length of the surface. The Lebesgue indexing gives better results than...

Tight gas reservoirs are mainly developed by multistage hydraulic fracturing horizontal wells (MSHFHWs). A type well provides average production profiles based on real data and can be constructed from multiple to investigate the behavior of reservoir. For unconventional reservoirs, key reserve calculations medium- long-term field development planning. Both geological completion parameters facto...

From the Departments of Neurology and Pathology, Cornell University Medical College, New York, N. 1. Supported in part by Research Grants HE-04872 and NB-03346, NB-04161 from USPHS and from the Winthrop Laboratories. Dr. Kutt is a recipient of a Research Career Development Award JKO 3 NB 35003, NINDB, USPH. First submitted October 2, 1968; accepted for publication December 13, 1968. KARL VEREBE...

From the Departments of Neurology and Pathology, Cornell University Medical College, New York, N. 1. Supported in part by Research Grants HE-04872 and NB-03346, NB-04161 from USPHS and from the Winthrop Laboratories. Dr. Kutt is a recipient of a Research Career Development Award JKO 3 NB 35003, NINDB, USPH. First submitted October 2, 1968; accepted for publication December 13, 1968. KARL VEREBE...

Throughout this work we deal with a natural number g ≥ 2 and with an algebraically closed field k whose characteristic differs from 2. A hyperelliptic curve of genus g over k is a smooth curve of genus g, that is a double cover of the projective line P. The Riemann-Hurwitz formula implies that this covering should be ramified at 2g + 2 points. Because of this explicit description, hyperelliptic...

In this article we apply signal detection theory to qualitatively unify the intensity justnoticable difference (JND) and masking data of Wegel and Lane (1924), Fletcher and Munson (1933 – 1938), Miller (1947), and Egan and Hake (1950). We do this by treating the loudness as the first moment, and the intensity JND as the second moment, of the random variable we call the single-trial loudness. Fr...

In the area of quality control by vision, the reconstruction of 3D curves is a convenient tool to detect and quantify possible anomalies. Whereas other methods exist that allow us to describe surface elements, the contour approach will prove to be useful to reconstruct the object close to discontinuities, such as holes or edges. We present an algorithm for the reconstruction of 3D parametric cu...

Anisotropic mesh generation is important for interpolation and numerical modeling. Recently, Labelle and Shewchuk proposed a two dimensional guaranteedquality anisotropic mesh generation algorithm called Voronoi refinement. This algorithm treats only domains with straight lines as inputs. However, in many applications, input domains have many curves and the exact representation of curves is nee...