In this paper we define and study new concepts of fibrewise topological spaces over B namely, fibrewise Lindelöf and locally Lindelöf topological spaces, which are generalizations of will-known concepts: Lindelöf topological space (1) "A topological space X is called a Lindelöf space if for every open cover of X has a countable subcover" and locally Lindelöf topological space (1) "A topological space X is called a locally Lindelöf space if for every point x in X, there exist a nbd U of x such that the closure of U in X is Lindelöf space". Either the new concepts are: "A fibrewise topological space X over B is called a fibrewise Lindelöf if the projection function p : X→B is Lindelöf" and "The fibrewise topological space X over B

Chaotic systems have been proved to be useful and effective for cryptography. Through this work, a new Feistel cipher depend upon chaos systems and Feistel network structure with dynamic secret key size according to the message size have been proposed. Compared with the classical traditional ciphers like Feistel-based structure ciphers, Data Encryption Standards (DES), is the common example of Feistel-based ciphers, the process of confusion and diffusion, will contains the dynamical permutation choice boxes, dynamical substitution choice boxes, which will be generated once and hence, considered static,

            While using chaotic maps, in the suggested system, called

The problem of the study crystallized in the following main question: What is the role of media awareness in building the student’s personality according to the opinions of a sample of middle school students? The importance of the research derives from the importance of media awareness being an important variable in building the student’s personality. The sample size was (50) students at Al-Kadhimiya Al-Sabahiya Preparatory School for Boys. In this research, a scale was used to measure the role of media awareness in building personality through (16) items on three axes (cognitive, skill, emotional), and the validity and reliability of this scale were extracted, and the results showed the following:

Praise be to God, who taught with the pen, taught man what he did not know, and may blessings and peace be upon our master Muhammad, may God bless him and grant him peace, and upon all his family and companions.
As for after......
The science of financial transactions is one of the important topics that Muslims must need at all times and places, due to its great importance in clarifying the ruling of the Shari’ah on contemporary financial issues.
The jurists, may God have mercy on them, have spoken about financial issues in all their aspects in detail, as in the Book of Sales, whether in terms of the validity of the sale, its invalidity, or its invalidity, i.e., the invalidity of the sale. Among these issues is the issue of th

Moment invariants have wide applications in image recognition since they were proposed.

This study delves into the properties of the associated act V over the monoid S of sinshT. It examines the relationship between faithful, finitely generated, and separated acts, as well as their connections to one-to-one and onto operators. Additionally, the correlation between acts over a monoid and modules over a ring is explored. Specifically, it is established that  functions as an act over S if and only if  functions as module, where T represents a nilpotent operator. Furthermore, it is proved that when T is onto operator and  is finitely generated, is guaranteed to be finite-dimensional. Prove that for any bounded operator the following,  is acting over S if and only if  is a module where T is a nilpotent operator, is a

Background: Non-alcoholic fatty liver disease (NAFLD) is the most common liver disorder globally. The prevalence is 25% worldwide, distributed widely in different populations and regions. The highest rates are reported for the Middle East (32%). Due to modern lifestyles and diet, there has been a persistent increase in the number of NAFLD patients. This increase occurred at the same time  where there were also increases in the number of people considered being obese all over the world. By analyzing fatty liver risk factors, studies found that body mass index, one of the most classical epidemiological indexes assessing obesity, was associated with the risk of fatty liver. Objectives: To assess age, sex, and body mass index (BMI) as