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.

Hedging is a linguistic phenomenon used to convey interpersonal messages in spoken interaction. It is a communicative strategy which enables speakers to soften the force of utterances or moderate the assertive force of  utterances. It is resulted from different features such as uncertainty, doubt, tentativeness, ambiguity, neutrality, mitigation, and subjectivity. Hedging is used widely in  TV debates to make utterances more acceptable to the interlocutors. Hedges are expressions used to communicate the speaker's  weak commitment to information conveyed. The utterances in debates are often hedged because in an unhedged form  might sound threatening to the addressees, and, therefore, be likely to be rejected.

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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

This paper is concerned with introducing an explicit expression for orthogonal Boubaker polynomial functions with some important properties. Taking advantage of the interesting properties of Boubaker polynomials, the definition of Boubaker wavelets on interval [0,1) is achieved. These basic functions are orthonormal and have compact support. Wavelets have many advantages and applications in the theoretical and applied fields, and they are applied with the orthogonal polynomials to propose a new method for treating several problems in sciences, and engineering that is wavelet method, which is computationally more attractive in the various fields. A novel property of Boubaker wavelet function derivative in terms of Boubaker wavelet themsel

The goal of this research is to introduce the concepts of Large-coessential submodule and Large-coclosed submodule, for which some properties are also considered. Let M  be an R-module and K, N are submodules of M such that , then K is said to be Large-coessential submodule, if . A submodule N of M is called Large-coclosed submodule, if K is Large-coessential submodule of N in M, for some submodule K of N, implies that  .

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

Blockchain technology relies on cryptographic techniques that provide various advantages, such as trustworthiness, collaboration, organization, identification, integrity, and transparency. Meanwhile, data analytics refers to the process of utilizing techniques to analyze big data and comprehend the relationships between data points to draw meaningful conclusions. The field of data analytics in Blockchain is relatively new, and few studies have been conducted to examine the challenges involved in Blockchain data analytics. This article presents a systematic analysis of how data analytics affects Blockchain performance, with the aim of investigating the current state of Blockchain-based data analytics techniques in research fields and

The research aims to identify the level of balance in the architectural thought influenced by the rational type human consciousness, the materialistic based on the Empirical type, moral based on human experience as source of knowledge.

This was reflected in architecture in the specialized thought that the mind is the source of knowledge which explains the phenomena of life. The rational approach based on objectivity and methodology in (Form Production), the other approach is based on subjectivity in form production (Form Inspiration).

The research problem is that there is imbalance in the relationship between the rational side and the human experience in architecture, which led into imbalance between theo

Iraq depends mainly on Tigris and Euphrates Rivers to provide high percentage of agricultural water use for thousands years. At last years, Iraq is suffering from shortage in water resources due to global climate changes and unfair water politics of the neighboring countries, which affected the future of agriculture plans for irrigation, added to that the lack of developed systems of water management in the irrigation projects and improper allocation of irrigation water, which reduces water use efficiency and lead to losing irrigation water and decreasing in agricultural yield. This study aims at studying the usability of irrigation and leaching scheduling within the irrigating projects and putting a complete annual or seasonal irrigatio

In this study, pebble bed as an absorber and storage material was placed in a south facing, flat plate air-type solar collector at fixed tilt angle of (45°). The effect of this material and differ- ent parameters on collector efficiency has been investigated experimentally and
theoretically. Two operation modes were employed to study the performance of the solar air heater. An inte- grated mode of continuous operation of the system during the period of (11:00 am – 3:00 pm) and non-integrated mode in which the system stored the solar energy through the day then used the stored energy during the period of (3:00 pm – 8:00 pm). The results of parametric study in case of continuous operating showed that the maximum average temperatur