For any group G, we define G/H (read” G mod H”) to be the set of left cosets of H in G and this set forms a group under the operation (a)(bH) = abH. The character table of rational representations study to gain the K( SL(2,81)) and K( SL(2, 729)) in this work.

A factor group is a mathematical group obtained by aggregating similar elements of a larger group using an equivalence relation that preserves some of the group structure. In this paper, the factor groups K(SL(2,121)) and K(SL(2,169)) computed for each group from the character table of rational representations.

The group for the multiplication of closets is the set G|N of all closets of N in G, if G is a group and N is a normal subgroup of G. The term “G by N factor group” describes this set. In the quotient group G|N, N is the identity element. In this paper, we procure K(SL(2,125)) and K(SL(2,3125)) from the character table of rational representations for each group.

Many of the dynamic processes in different sciences are described by models of differential equations. These models explain the change in the behavior of the studied process over time by linking the behavior of the process under study with its derivatives. These models often contain constant and time-varying parameters that vary according to the nature of the process under study in this We will estimate the constant and time-varying parameters in a sequential method in several stages. In the first stage, the state variables and their derivatives are estimated in the method of penalized splines(p- splines) . In the second stage we use pseudo lest square to estimate constant parameters, For the third stage, the rem

Importance of study :

The interesting of industrial sector and developing it after corner stone. It is important to build economic balanced and get behind and front linkage for transformative industrials, and this is important to get balanced.

The value of transformative industry sector is more important than other sectors in economy, and this is reflect the capital in industrial sector .Industry  sector is larger than other sectors ,so it regards the motive which moving the economic wheel .

The  problem :

The research treats reduction and retreat the ind

This research aimed to identify the level of English language knowledge among the students of scientific colleges and the preparatory year (scholarship students) at the Islamic University of Madinah. The research was limited to identifying students at the meanings of vocabulary and grammar of the English language. The researcher used a descriptive approach to achieve study goals. It applied three tools to collect information from the targeted sample; first, a test for determining the level of students in the achievement of vocabulary which applied to (69) students. Second, a test to determine the level of students in the English language grammar, (73) students took part. Third, a survey to get students’ opinions about the program of te

This study is targeting the new developed materials and techniques and how they were affected by the scientific and technological developments that contributed to revelated new and varied developed materials and techniques. And from the artist’s formulation by using the materials and techniques and through its embodiment and sensor the values, artistic and aesthetic standards by breaking from the familiar in aesthetic contemporary way.
The studies on questioning what’s the role of The New Developed Materials and Techniques in exposing the aesthetic of the art work?

This study is to show the aesthetic of the art work through the new developed materials and techniques. Which was based on descriptive analyzing method and hig

Praise be to God, we praise Him, we seek His help, we seek His forgiveness, and we seek refuge in God from the evils of ourselves and our bad deeds. . The marriage contract, like other contracts, gives rise to reciprocal rights and duties that bind both the husband and the wife, pursuant to the principle of balance, equivalence, and the equality of the parties to the contract on which every contract is based. . That is, women have rights over men similar to what men have over women, or that the basis for estimating these rights and duties is custom based on the nature of both men and women. The Iraqi Personal Status Law stipulates all the financial rights that the wife is entitled to from her husband: namely, the dowry and alimony. As fo