The polarized T Gowdy model is, in a standard gauge, characterized by a point particle degree of freedom and a scalar field degree of freedom obeying a linear field equation on R × S. The Fock representation of the scalar field has been well-studied. Here we construct the Schrödinger representation for the scalar field at a fixed value of the Gowdy time in terms of square-integrable functions o...

Approaches to polygonal decomposition for hierarchical image representation are described. For planar decomposition, quad trees using square and triangular neighborhoods are found to be the only feasible methods, having the same computational complexity. For grid images the choice of the appropriate tree type is determined by the grid topology. Triangular and square quad trees are appropriate f...

Square COD (complex orthogonal design) with size [n, n, k] is an n×n matrix Oz, where each entry is a complex linear combination of zi and their conjugations z∗ i , i = 1, . . . , k, such that O H z Oz = (|z1| 2 + . . . + |zk| 2)In. Closely following the work of Hottinen and Tirkkonen, which proved an upper bound of k/n by making a crucial observation between square COD and group representation...

Standardizing the empirical distribution function yields a statistic with norm square that matches the chi-square test statistic. To show this one may use the covariance matrix of the empirical distribution which, at any finite set of points, is shown to have an inverse which is tridiagonal. Moreover, a representation of the inverse is given which is a product of bidiagonal matrices correspondi...

since eighth century, much attention has been given by painters on khamseh works due its romantic and lyric stories. female is a heroine or she has a significant role in most of khamseh works, that show its contributions on nezamis works. unlike common negative view about women in society, nezami considered a high social level for them. in the different periods these stories, especially lily an...

P600 effects have been observed after syntactic ambiguous sentences, after several types of syntactic and semantic anomalies and after orthographic anomalies. On the basis of these findings, several investigators propose the P600 effect to reflect syntactic repair or syntactic restructuring. According to our Monitoring Theory the P600 effect reflects more general sentence reanalysis, to check w...