In this paper, we formulate and study a new property, namely indeterminacy (neutrosophic) of the hollow module. We mean indeterminacy hollow module is neutrosophic hollow module B (shortly Ne(B)) such that it is not possible to specify the conditions for satisfying it.  Some concepts have been studied and introduced, for instance, the indeterminacy local module, indeterminacy divisible module, indeterminacy indecomposable module and indeterminacy hollow-lifting module. Also, we investigate that if Ne(B) is an indeterminacy divisible module with no indeterminacy zero divisors, then any indeterminacy submodule Ne(K) of Ne(B) is an indeterminacy hollow module. Further, we study the relationship between the indeterminacy of hollow an

Background: Dietary supplementation is a common strategy to achieve a specific health status or performance benefit. The aim of this study was to describe the use of dietary supplement in Iraqi genders.

Patients and Methods:  several questions on dietary supplement use were asked as a part of single performed on 112 female and 247 women aged 35–74 years in 2021 .n = 359) ,reported the frequency and prevalence of supplement use by sex and type of supplement .

Results: the mean percentage of dietary supplement use varied among female and men. Use was higher in women than in men. Vitamins, minerals were the predominant types of supplements reported, but the

The importance of research stems from the prominent role of leaders in the political, administrative, economic and societal spheres in general, which requires highlighting this angle. Research Hypothesis Modern policies work with mechanisms that limit the clear role of governors and transform the ruler into an executive man. It can be assumed that the type of public policy of the state is the only criterion that transfers the ruler from a ruler to an executive.

In this paper, we introduce and study the notion of the maximal ideal graph of a commutative ring with identity. Let R be a commutative ring with identity. The maximal ideal graph of R, denoted by MG(R), is the undirected graph with vertex set, the set of non-trivial ideals of R, where two vertices I₁ and I₂ are adjacent if I₁ I₂ and I₁+I₂ is a maximal ideal of R. We explore some of the properties and characterizations of the graph.

Background: vomiting is a very common symptom of disease in childhood, it occurs both in gastrointestinal and non-gastrointestinal diseases.
Objectives: Our aim of the study was to find out the causes of vomiting in different age group, the improper management of vomiting in daily practice and to emphasis on the usefulness of imaging study in the diagnosis.
Methods: A prospective study was carried out on patients presented with vomiting admitted to Children Welfare Teaching Hospital from the first of Dec. 2001 to the end of April 2002 .The age ranged between early neonatal periods to 12 years of age.
Reults: A total of 100 child were included in this study,(65) male (35) female male to female ratio 

Lignans are natural products widely distributed in the plant kingdom. They are composed of two β-β-linked phenylpropane (shikimate-derived biogenetic subunits). Although the backbone of lignans is composed of phenylpropane units, there is enormous diversity in the structure of lignans leading to different classes of lignans, such as γ-butyrolactone derivatives, eg. Hymatairesinol, bicyclooctadiene derivatives, e.g. pinoresinol, tetrahydrofuran derivatives e.g.lariciresinol, di-arylbutandiol derivatives, e.g. secoisolariciresinol. Introduction of a further carbon –carbon linkage leads to a class of lignans collectively known as cyclolignans such as tetrahydro-naphthalene derivatives, for example podophyllotoxin. Lignans ha

This paper generalizes and improves the results of Margenstren, by proving that the number of -practical numbers  which is defined by   has a lower bound in terms of . This bound is more sharper than Mangenstern bound when  Further general results are given for the existence of -practical numbers, by proving that the interval contains a -practical for all

  Robert Nozick is an American thinker who formulated his political theory in his book (Anarchy, State, Utopia) in 1974, which included his most important main ideas represented in the emergence of (The Minimal State) as well as (Entitlement Theory), through which he expressed his rejection of stereotypical distributive justice theories such as equality In Marxism and social liberalism, his ideas were characterized by a very extreme individualist tendency, and his ideas contributed to supporting the neo-liberal trend.     

Three composite grinding wheel series were prepared using three different ceramic binders . Two of the three series behaved in typical ceramic — type manner in their consolidation behaviour , while the third deviated strongly . The measured mechanical properties behaved in a similar manner . The main reason was found tobe the way the binder material interacts with the SiC — particles . The results are discussed in terms of the rol played by the binder in shaping the final mechanical properties of the composites .

     The change in the optical properties for samples of pure PVA and PVA /K2CrO4composite have been studied .The samples were prepared with different percentage (1,3,5,and 7)%wt of K2CrO4 by casting method technique .In this work ,we are study the absorption ,reflectance spectra ,absorption  coefficient, energy gap ,extinction coefficient ,and transmittance spectra as a function of wavelength range (200-800)nm ,Also  real and imaginary part of dielectric constant have been studied in the range of wave length .The results exhibit the optical properties change by the increase of K2CrO4 concentration, and the values of energy gap for indirect transitions decrease by the increase of the concentration of  K2CrO4