Abstract:In this paper, some probability characteristics functions (moments, variances,convariance, and spectral density functions) are found depending upon the smallestvariance of the solution of some stochastic Fredholm integral equation contains as aknown function, the sine wave function

In this article, a new deterministic primality test for Mersenne primes is presented. It also includes a comparative study between well-known primality tests in order to identify the best test. Moreover, new modifications are suggested in order to eliminate pseudoprimes. The study covers random primes such as Mersenne primes and Proth primes. Finally, these tests are arranged from the best to the worst according to strength, speed, and effectiveness based on the results obtained through programs prepared and operated by Mathematica, and the results are presented through tables and graphs.

Background:As arelationshipbetween gingivitis disease and the presence of the oral protozoa Trichomonastenax has been represented byconsiderable differences among various study population.The purpose of present study is determining the prevalence of T.tenax in patients with gingivitis and healthy subjects. Subjects,Materials and Methods:The presence of the parasite has been diagnosed with 58 patients withgingivitisand 58 healthy persons during the period of the study(April and May 2015) by taken two swabs for each one,microscopic examination was done using saline wet mount method and stained method. Age, sex and brushing teeth habit were in a count. Statistical analysis was done by SPSS program. Results:Gingivitis disease was observed in 5

The study aims at figuring out the intended meaning of intonation in some English conversational utterances together with identifying pitch variations that are determined by various syntactic constructions that impart the same illocutionary force of utterances. However, intonation is needed to delimit the communicative forces of utterances by virtue of its structure which the speakers intend to convey .This paper consists of four sections .Section one deals with phonology and its types .Section two discusses intonation in relation to style , forms and functions. Section three sheds some light on pragmatics. Section four deals in details with the intended meaning of intonation in some English conversational utterances. This paper comes up wi

The negotiation phase is gaining great importance in investment loans due to the magnitude of the amounts awarded and the need to obtain adequate lending guarantees and the development of better conditions, and this requires that negotiating policy with fixed principles that balance between meeting the demands of customers and maintain market share and achieve profits and avoid defaults and losses the bank, and so I have touched Find the concept of investment loans and procedures for granting and the concept of the negotiation process for the granting of loans. The practical side to ensure the preparation of examination form consists of questions commensurate with the methodology developed by the researchers, were directed to the officia

The main aim of this research study is to point out the vital importance of high-quality exterior audits to limit discretionary accounting, as it could distort a company’s commercial results. The research introduces a well-founded hypothesis on the preventive powers of high-quality audits, as it can act as a strong exterior control. The research focuses on testing the complex relationship between earnings management and investors’ behavior within the public-listed companies from the food industry. The research gathers credible annual comprehensive data from thirty-five publicly-listed firms from the United States. It encompasses the twenty years prior to 2024, as it includes the twenty years prior to 2024. Additionally, the gathered dat

The purpose of this study was to evaluate the anesthetic effectiveness of a buccal infiltration technique combined with local massage (using 2% lidocaine) in the extraction of mandibular premolars to be utilized as an alternative to the conventional inferior alveolar nerve block.

The research aims to identify the role of organizational identity in improving work teams, and to suggest ways to deal with the outputs of work teams in a way that achieves the goals of the Baghdad Traffic Directorate as it is the subject of the application of the research, while the research community was represented by its officers, while the research sample was embodied in (General Director, Associate The Director General, the directors of Rusafa and Karkh traffic and their assistants, as well as the heads of the divisions and the officials of the departments) in it. The sample was (200) observations. The descriptive exploratory approach was devoted to conducting the research, relying on the questionnaire in data collection, as well as e