Pure Mathematics for Theoretical Computer Science

Legal analysis is one of the important methods to study the interrelationships between two types of variables. an important use of this analysis is to reduce the data. Many studies use this analysis as a way to study the interrelationships between two types of variables. There have been no empirical studies of the use of legal analysis as a method. From my point of view, this study aims to shed light on how to use legal analysis as a means of factor analysis, and to show how to apply it in this field by dealing with a practical problem in the active field. The applied problem includes the study of the factorial analysis, the method of the main compounds, the method of path analysis, and the compatibility between them on two types of data, represented by identifying the factors associated with diabetes, and then identifying the variables that affect the rise in the measurement of sugar two hours after eating. impact according to priority and importance.

The semi-parametric referral model is one of the important developments that used the analysis of their independent effect on other variables, which produces prediction issues. It is known that the semi-parametric referral model combines direct referral models, whose variables are linear, with analmic conversion models, whose variables are non-linear. In this, it was done. The research presents the production function of the quantity of dates, which is affected by the multiplicities. Some of them control parameters such as heart rate and settings of fruiting palm trees, and some of them behave nonlinearly, such as humidity, temperature, wind, and others, and we take the variable to determine the air temperature. It has been observed that the mean square error of the semi-parametric regression model is less than the mean square error of the parametric regression model, which assumes that all variables behave linearly. This proves the validity of the results in the case of using sample sizes for a set of data generated through simulation experiments, which showed that the regression models are semi-parametric.

The main aim of this paper is to study new class of continuous function is called  – continuous function. for this aim, the nation of - open and pre – open sets and  - compact space are introduced. and we shall study the relationship between  – continuous and pc– continuous functions.

In this paper, we introduce the notion of anti fuzzy k-ideal of ternary semi ring and we study some of its elementary properties by many related theorems and proofs, with many illustrated examples that explain our work.

The main goal of this study is to obtain a direct theorem for the simultaneous approximation of 3 monotone functions in  by splines in the space . Also, we have illustrated many examples to clarify the validity of our work.