Nonlinear optical single crystals of L-phenylalanine-4-nitrophenol have been grown by the slow evaporation method. The grown crystal was subjected to the single crystal X-ray diffraction analysis, to confirm that it belongs to the monoclinic crystal structure, with space group P21. The optical transmission study reveals the transparency of the crystal in the entire visible region and the cut of...

The development and encroachment of high technology, from transportation, computation to information is based on the availability of materials in the form of single crystals. With progress in crystal growth technology and characterization, organic, inorganic, semiorganic and organometallic materials having attractive nonlinear optical (NLO) properties are being discovered at rapid rate. NLO mat...

where y is the n× 1 response vector; X is an n× p model matrix representing the predictors; and β is a p × 1 vector of coefficients to estimate. For mathematical simplicity, it is typical to set the first predictor as the intercept β0 so that the first column of X is the n×1 vector of ones. The intercept acts as a sink for the mean effect of included predictors, so one could remove the intercep...

Let G be a finite group of order g. A probability distribution Z on G is called ε-uniform if |Z(x) − 1/g| ≤ ε/g for each x ∈ G. If x1, x2, . . . , xm is a list of elements of G, then the random cube Zm := Cube(x1, . . . , xm) is the probability distribution where Zm(y) is proportional to the number of ways in which y can be written as a product x1 1 x ε2 2 · · · xεm m with each εi = 0 or 1. Let...

Abstract It is well known that some garnet compositions can incorporate hydrogen and/or fluorine at levels up to several wt%. However, accurate measurement of these elements be difficult trace minor concentration levels, so they are frequently ignored in routine chemical analysis. Furthermore, the mechanisms H incorporation still under debate, and only one mechanism for F substitution commonly ...

Let Σ be a connected closed oriented surface of genus g. In 1986 Goldman [Go] attached to Σ a Lie algebra L = L(Σ), later shown by Turaev ([Tu]) to have a natural structure of a Lie bialgebra. It is defined as follows. As a vector space, L has a basis eγ labeled by conjugacy classes γ in the fundamental group π1(Σ), geometrically represented by closed oriented curves on Σ without a base point. ...

Hence the problem of estimating g in (1.2) is called a deconvolution problem. The problem arises in many applications [see, e.g., Desouza (1991), Louis (1991), Zhang (1992)] and, therefore, it was studied extensively in the last decade. The most popular approach to the problem was to estimate p x by a kernel estimator and then solve equation (1.2) using a Fourier transform [see Carroll and Hall...

in western canada, durum wheat cultivars (triticum durum) have low to moderate lev-els of seed dormancy and are susceptible to pre-harvest sprouting. the aim of this study was to evaluate the dormancy level of canadian durum wheat cultivars and to identify tetraploid wheat accessions with elevated levels of seed dormancy. first, the level of seed dormancy and length of after-ripening of 17 nort...