The Hartley transform generalizes to the fractional Hartley transform (FRHT) which gives various uses in different fields of image encryption. Unfortunately, the available literature of fractional Hartley transform is unable to provide its inversion theorem. So accordingly original function cannot retrieve directly, which restrict its applications. The intension of this paper is to propose inversion theorem of fractional Hartley transform to overcome this drawback. Moreover, some properties of fractional Hartley transform are discussed in this paper.

Allah's wisdom has necessitated concentrating un human nature the ability of
mediation and forethought .among the aspect of this ability is the recognition of the
relationship between causes and effects issues and reasons behind them and the
sensing of similarities and differences and distinguish the connection between the
subjects and characteristics and the innate perception of material and immaterial good
and bad.
Allah's wisdom has willed not to make his law away from the nature of people of
discovering the relationship between things and their causes, or similarity between
things and their counterparts to use the Quranic text to convince reason and to enable
reason to realize the wisdom quranic text within

A new family of nematic liquid crystal dendrimers derived from 3,5-dihydroxybenzoic acid were synthesized. The synthesis of the dendrimers compounds shows the influence of the dendritic core on the mesomorphic properties. The liquid crystalline properties were studied by polarizing optical microscopy (POM) equipped with a hot stage, the structures of the synthesized compounds characterized using FTIR and 1HNMR spectroscopy.

The study aimed at identifying the domains of abuse of the elderly (each field separately) of the research sample. The study sample consisted of (100) senior citizens residing in nursing homes in Baghdad and Kirkuk cities. They were selected in a simple random way. In order to achieve the research objectives, two scales were developed to measure the abuse of the elderly consisted of six domains: Neglection abuse, emotional abuse, physical abuse, social abuse, financial abuse, sexual abuse), and the other to measure the life review. The results showed that the level of abuse of older people in the sample is higher than the average in the society they belong to, the level of life review was higher than the average they belong to, and the a

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Abstract Rationality and freedom are fundamental elements of Western modernity. Although modern and contemporary Islamic thought has established its intellectual foundations on the fundamentals of intellectual thought that are at the core of its Islamic intellectual system, at the same time many of its intellectual products have been a response In spite of the fact that this Islamic intellectual response stands out from Western modernity as a negation or a positive attitude. The Islamic intellectual response differed in determining its position on Western modernity, depending on the nature of the historical stage that was The Islamic nation, as well as the nature of the challenge posed by Western civilization to other nations and other c