Contents 1. Introduction 307 2. Universal unfoldings 309 3. Special, general, very general, generic... 313 4. Moduli: Parameters describing the deformations of a mathematical structure 314 (1). Classifying ellipses in the plane up to Euclidean congruence. 314 (2). Deforming Riemann surfaces. 315 5. Moduli and lattices 317 6. Lattices in real vector spaces 317 (1). Lattices in the plane. 318 (2)...

abstract to study the effects of four types of mulches including wood chips, municipal compost, sawdust and gravel in three different thicknesses on growth of platanus orientalis during two years, an experiment was conducted in mashhad area with semi-arid climate. the research was conducted as split plot based on a completely randomized block design with four replications. treatments included c...

The Sérsic (r) index n of an elliptical galaxy (or bulge) has recently been shown to correlate strongly (r = 0.8) with a galaxy’s central velocity dispersion. This index could therefore prove extremely useful and cost-effective (in terms of both telescope time and data reduction) for many fields of extragalactic research. It is a purely photometric quantity which apparently not only traces the ...

this study focuses on the optimization of the plane structure. sequential quadratic programming (sqp) will be utilized, which is one of the most efficient methods for solving nonlinearly constrained optimization problems. a new formulation for the second order sensitivity analysis of the two-dimensional finite element will be developed. all the second order required derivatives will be calculat...

This case report describes the repositioning of a laterally luxated primary central incisor with occlusal interference, using a composite inclined plane. The patient was a 4-year-old girl who applied to our clinic three days after the injury. Because of the time delay between injury and presentation, it was not possible to reposition the tooth with pressure. Following a root-canal treatment, an...

Fig. 2. Rotated, overlapping strips in k-space. data set spans a circle in k-space. If a matrix diameter of M is desired, then Land N are chosen so that L N = M π / 2. (3) The central circle in k-space with diameter L is collected for each of the N strips; these are used to form N low-resolution images, which are compared to each other to remove in-plane displacement and phase errors that are s...

Recent Chandra X-ray observations of jets in central cluster galaxies show interesting features around the symmetry plane. We have carried out simulations involving bipolar jets, removing the artificial boundary condition at the symmetry plane. We use a very low jet density (IGM/jet ≈ 10 4) and take into account a decreasing density profile. We find that the jet bow shock undergoes two phases: ...

In this paper, we study two different Graded Index (GRIN) photonic crystal (PC) structures which are named as structure type I and type II. The PC structures are made of the square rod in an air background. To design a GRIN PC structure the lattice constant has been altered in the direction transverse to propagation. We investigated focusing effect             and waveguiding behavior of electr...

PURPOSE Recent evidence has demonstrated the importance of dissection in the correct tissue plane for the resection of colon cancer. We have previously shown that meticulous mesocolic plane surgery yields better outcomes and that the addition of central vascular ligation produces an oncologically superior specimen compared with standard techniques. We aimed to assess the effect of surgical educ...

this paper deals with the basic notions of k-tautimmersions . these notions come from two special cases; that is, tight and taut immersions. tight and taut based on high and distance functions respectively and their basic notions are normal bundle, endpoint map, focal point, critical normal. we generalize hight and distance functions to cylindrical function and define basic notions of k-taut im...