The problem of Bi-level programming is to reduce or maximize the function of the target by having another target function within the constraints. This problem has received a great deal of attention in the programming community due to the proliferation of applications and the use of evolutionary algorithms in addressing this kind of problem. Two non-linear bi-level programming methods are used in this paper. The goal is to achieve the optimal solution through the simulation method using the Monte Carlo method using different small and large sample sizes. The research reached the Branch Bound algorithm was preferred in solving the problem of non-linear two-level programming this is because the results were better.

In this study, we focused on the random coefficient estimation of the general regression and Swamy models of panel data. By using this type of data, the data give a better chance of obtaining a better method and better indicators. Entropy's methods have been used to estimate random coefficients for the general regression and Swamy of the panel data which were presented in two ways: the first represents the maximum dual Entropy and the second is general maximum Entropy in which a comparison between them have been done by using simulation to choose the optimal methods.

The results have been compared by using mean squares error and mean absolute percentage error to different cases in term of correlation valu

In this research، a comparison has been made between the robust estimators of (M) for the Cubic Smoothing Splines technique، to avoid the problem of abnormality in data or contamination of error، and the traditional estimation method of Cubic Smoothing Splines technique by using two criteria of differentiation which are (MADE، WASE) for different sample sizes and disparity levels to estimate the chronologically different coefficients functions for the balanced longitudinal data which are characterized by observations obtained through (n) from the independent subjects، each one of them is measured repeatedly by group of  specific time points (m)،since the frequent measurements within the subjects are almost connected an

Abstract:
Al-Hamraa palace considers one of the most important urban traces
that the Arab left behind in Andalus .Muhammed bin Al—Ahmer put its fist
stones then it was finished later by his thrown hirer .The poems of (ibn-
Zumrek)were graved on the palaces doors ,halls, and lion cages with all the
proud and dignity those poems contain.
This search identifies this palace first, then studies the contents of the
poems on Walls ,then the Urban features, and description of the palace sites
,buildings materials ,pillars ,decorations, and the geometrical
Vocabularies in the poems such as spaces , direction ,distance ,and
height.
Then the search describes the technical engineering of words
coordination, the

The Baha'is are a group that belongs to the Baha'iya, the Baha'iya according to the encyclopedia of Religion Sciences is a modern religious sect appeared in existence in the middle of the ninetieth century. The number of their believers is around six million people of different parts of the world. its main center lies in Haifa city in Palestine

Belgium is one of the countries that headed towards federalism through a peaceful transition, and over a few decades the country has witnessed deep transformations in its institutions, from a unified and central state in the early nineteenth century to a federal union, regional operations began since 1970 up and constitutionally established its diversity Linguistic and regional, the so -called "state reforms" have been implemented, which led to the emergence of political repercussions. The country has suffered about two decades ago, which caused many national governments that are considered to be among the Luxor in the modern political history of Belgium, However, institutional reforms to achieve the stability of the political system began,

The Baha'is are a group that belongs to the Baha'iya, the Baha'iya according to the encyclopedia of Religion Sciences is a modern religious sect appeared in existence in the middle of the ninetieth century. The number of their believers is around six million people of different parts of the world. its main center lies in Haifa city in Palestine.

This is a contextual study in face and isotope science, and I have made it in one of the terms faces and isotopes, which is the word (bad). Quranic also, and that is at every aspect they mentioned.
The nature of the research required that it be divided into three sections:
The first topic: I singled it out to show the types of contextual connotations.
- The second topic: I singled it out to define the word bad and its meaning.
- The third topic: I devoted it to the study of the word bad and explaining the significance of the Quranic context on the additional meaning and the original meaning.
Conclusion: It mentioned the most important results, which are:
1- The significance of the Quranic context is one of the most impo

The name of God the Merciful
Praise be to Allah, Lord of the Worlds, and prayers and peace be upon the prophets and messengers Prophet Muhammad and his family
And his companions who followed his approach to the Day of Judgment. After that, Islam has paid great attention to the aspects of education
The promise of a way to degrade and correct behavior, and to reach the individual to the highest levels through his intellectual upbringing
Mentally, mentally, mentally and intellectually, education at all times and places is the best way to communicate to a human being
The degree of happiness in religion and the other, as it develops all aspects of his personality, and supports the love of goodness for himself
For people, edu

Gross domestic product (GDP) is an important measure of the size of the economy's production. Economists use this term to determine the extent of decline and growth in the economies of countries. It is also used to determine the order of countries and compare them to each other. The research aims at describing and analyzing the GDP during the period from 1980 to 2015 and for the public and private sectors and then forecasting GDP in subsequent years until 2025. To achieve this goal, two methods were used: linear and nonlinear regression. The second method in the time series analysis of the Box-Jenkins models and the using of statistical package (Minitab17), (GRETLW32)) to extract the results, and then comparing the two methods, T