In this paper, we proved that if R is a prime ring, U be a nonzero Lie ideal of R , d be a nonzero (?,?)-derivation of R. Then if Ua?Z(R) (or aU?Z(R)) for a?R, then either or U is commutative Also, we assumed that Uis a ring to prove that: (i) If Ua?Z(R) (or aU?Z(R)) for a?R, then either a=0 or U is commutative. (ii) If ad(U)=0 (or d(U)a=0) for a?R, then either a=0 or U is commutative. (iii) If d is a homomorphism on U such that ad(U) ?Z(R)(or d(U)a?Z(R), then a=0 or U is commutative.

Using the Internet, nothing is secure and as we are in need of means of protecting our data, the use of passwords has become important in the electronic world. To ensure that there is no hacking and to protect the database that contains important information such as the ID card and banking information, the proposed system stores the username after hashing it using the 256 hash algorithm and strong passwords are saved to repel attackers using one of two methods: -The first method is to add a random salt to the password using the CSPRNG algorithm, then hash it using hash 256 and store it on the website. -The second method is to use the PBKDF2 algorithm, which salts the passwords and extends them (deriving the password) before being ha

In many scientific fields, Bayesian models are commonly used in recent research. This research presents a new Bayesian model for estimating parameters and forecasting using the Gibbs sampler algorithm. Posterior distributions are generated using the inverse gamma distribution and the multivariate normal distribution as prior distributions. The new method was used to investigate and summaries Bayesian statistics' posterior distribution. The theory and derivation of the posterior distribution are explained in detail in this paper. The proposed approach is applied to three simulation datasets of 100, 300, and 500 sample sizes. Also, the procedure was extended to the real dataset called the rock intensity dataset. The actual dataset is collecte

Abstract

The research aims to measure family negligence and its relationship with internet addiction among university students. The researcher has developed a scale of (20) items to measure the negligence of family, which was applied to (308) male and female university students in the first and fourth stages. The research concluded that University students suffer from family negligence. The research sample has an addiction to the Internet. There is a relationship between family neglect and addiction to the Internet among university students. The researcher came out with a number of suggestions and recommendations.

Hysterectomy is one of the most common gynecological operations done worldwide. Early diagnosis of the psychosexual effects of a hysterectomy and the fast application of appropriate treatment can prevent further worsening and persistence of symptoms, especially with respect to higher levels of anxiety, depression, lower self-esteem, and sexual impact after a hysterectomy. The aim of this study was to assess the psychological and sexual problems of women with hysterectomy. A descriptive study was carried out from March 1, 2023 to May 25, 2023 to determine the level of psychosexual problems experienced by women after hysterectomy. A purposive (non-probability) sample of 120 women who visited the outpatient clinic at Baghdad Teaching H

This work analyzes the effectiveness of an artificial intelligence (AI) community- building workshop designed for high school teachers and it focuses on contemporary issues related to AI concepts and applications. A group of high school teachers from local education districts attended a one-day AI hands-on workshop at our university. The workshop included several AI-related topics and hands-on examples and exercises aiming to introduce AI concepts and tools relevant to pre-college education. The participating teachers were expected to become a part of a collaborative network created to design, develop, and implement novel AI learning modules for high school students. Initial and a post-training surveys have been used to measure the