For a nonempty subset X of a group G and a positive integer m , the product of X , denoted by Xm ,is the set Xm = That is , Xm is the subset of G formed by considering all possible ordered products of m elements form X. In the symmetric group Sn, the class Cn (n odd positive integer) split into two conjugacy classes in An denoted Cn+ and Cn- . C+ and C- were used for these two parts of Cn. This work we prove that for some odd n ,the class C of 5- cycle in Sn has the property that = An n 7 and C+ has the property that each element of C+ is conjugate to its inverse, the square of each element of it is the element of C-, these results were used to prove that C+ C- = An exceptio

Imidacloprid is systemic insecticide (1-[(6-chloro-3-pyridinyl) methyl]-N-nitro-2-imidazolidinimine) and the world’s most widely used has significant efficacy against a broad variety of pests and a unique mode of action by using it spreader and irrigation. The persistence of this pesticide in the soil means that it causes environmental damage that must be cleaned up. In this study collected and identified the best bacteria isolate that breakdown imidacloprid from the Plant Protection Director in Baghdad, which has been using neonicotinoid pesticides for years in their own greenhouse for pest control. Using high-performance liquid chromatography HPLC to measuring the residual concentrations of imidacloprid in MSM media at a concentration o

this paper give a proof of known conditions for the existence of peridic conincidence points of continuius maps using lindemann theotem on transcendental numbers

Variable selection in Poisson regression with high dimensional data has been widely used in recent years. we proposed in this paper using a penalty function that depends on a function named a penalty. An Atan estimator was compared with Lasso and adaptive lasso. A simulation and application show that an Atan estimator has the advantage in the estimation of coefficient and variables selection.