The aim of this paper is to translate the basic properties of the classical complete normed algebra to the complete fuzzy normed algebra at this end a proof of multiplication fuzzy continuous is given. Also a proof of every fuzzy normed algebra  without identity can be embedded into fuzzy normed algebra  with identity  and  is an ideal in  is given. Moreover the proof of the resolvent set of a non zero element in complete fuzzy normed space is equal to the set of complex numbers is given. Finally basic properties of the resolvent space of a complete fuzzy normed algebra is given.

Abstract

      In this study, we compare between the autoregressive approximations (Yule-Walker equations, Least Squares , Least Squares ( forward- backword ) and Burg’s (Geometric and Harmonic ) methods, to determine the optimal approximation to the time series generated from the first - order moving Average non-invertible process, and fractionally - integrated noise process, with several values for d (d=0.15,0.25,0.35,0.45) for different sample sizes (small,median,large)for two processes . We depend on figure of merit function which proposed by author Shibata in 1980, to determine the theoretical optimal order according to min

In accordance with the principle of consensually, contractors have full freedom to express their will. The law does not require that the expression be by a particular means or form, as may be expressly expressed by the will, so the expression of will may be implicit. The general rule is that the parties have the freedom to freely determine the content of the contract Within the limits of the rules that regulate and regulate this will, the implied will or implied expression of will is a positive course of expression of will, but does not directly indicate the truth of the intended meaning, but the circumstances of the case allow weighting of the intended meaning to other possible meanings, In other words, a means or an appearance taken by

The obligation in accordance with the provisions of the Iraqi Civil Code to meet the obligation to meet the charge for the acting renewal in loyalty, clearing, union of disclaimer, acquittal, impossibility of implementation and statute of limitations. However, the subject of our study will focus on one of these reasons, which is exoneration, but we will not deal with the provisions of acquittal in general, as we chose the nature of the acquittal as the target of this study because it provoked a doctrinal debate among Islamic doctrines, as this study lacked to examine the nature of the acquittal by comparing Islamic jurisprudence with civil laws.

Criminal prescription is a legal idea that we find its applications in most laws, It means that a period of time has passed since the occurrence of the crime, which is called the prescription of the criminal case or the crime, or the lapse of a period of time since the issuance of a final judgment in the criminal case, and it is called the prescription of the penalty, the lapse of the prescribed period will result in the expiry of the criminal case in the first case, and the lapse of the penalty imposed in the second case. This system has been found since ancient times in the legislation of countries with their various legal and political systems because of its practical considerations, the most important of which is achieving legal stab

The right to property is one of the most prominent and most important of the fundamental rights that the individual enjoys, whether national or foreign, both of them have their own private property that may not be affected except for the requirements of the country's economic development or what is known as the public benefit, and the Iraqi legislator did not specify what is meant by the removal of foreign investment. Of the bilateral international agreements (BITS), as it determined its terms and methods, the properties of foreign investors may be expropriated in a direct and indirect way.

The area of character recognition has received a considerable attention by researchers all over the world during the last three decades. However, this research explores best sets of feature extraction techniques and studies the accuracy of well-known classifiers for Arabic numeral using the Statistical styles in two methods and making comparison study between them. First method Linear Discriminant function that is yield results with accuracy as high as 90% of original grouped cases correctly classified. In the second method, we proposed algorithm, The results show the efficiency of the proposed algorithms, where it is found to achieve recognition accuracy of 92.9% and 91.4%. This is providing efficiency more than the first method.

The exception of contract non-Performance represents an important mechanism in the implementation of obligations. It enables a contractor to refrain from implementing its obligation until the other party has fulfilled its obligations. It is a means of defense, pressure and guarantee of its rights. It is stipulated in articles 161 of the Egyptian Civil Code and Article 123 of the Civil Code While it was not provided for in the French Civil Code except after the issuance of Order No. 2016-131 on the reform of the system of contracts and public order and the establishment of obligations in articles 1217, 1219 and 1220 thereof. These texts, although they did not show the basis on which the exception of contract non-Performance, leaving this

      In this paper we shall prepare an  sacrificial solution for fuzzy differential algebraic equations of fractional order (FFDAEs) based on the Adomian decomposition method (ADM) which is proposed to solve (FFDAEs) . The blurriness will appear in the boundary conditions, to be fuzzy numbers. The solution of the proposed pattern of  equations is studied in the form of a convergent series with readily computable components. Several examples are resolved as  clarifications, the numerical outcomes are obvious that the followed approach is simple to perform and precise when utilized to (FFDAEs).

      In this paper we shall prepare an  sacrificial solution for fuzzy differential algebraic equations of fractional order (FFDAEs) based on the Adomian decomposition method (ADM) which is proposed to solve (FFDAEs) . The blurriness will appear in the boundary conditions, to be fuzzy numbers. The solution of the proposed pattern of  equations is studied in the form of a convergent series with readily computable components. Several examples are resolved as  clarifications, the numerical outcomes are obvious that the followed approach is simple to perform and precise when utilized to (FFDAEs).