In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them.

For any group G, we define G/H (read” G mod H”) to be the set of left cosets of H in G and this set forms a group under the operation (a)(bH) = abH. The character table of rational representations study to gain the K( SL(2,81)) and K( SL(2, 729)) in this work.

Contrary to deconstruction and its destructive pursuit, the concept of undermining the familiar seeks to refute the constants and its known limitations. It is done through the process of receiving and what is imposed by the formation of the word or text or the structural and design structure in general, along with the Arabic calligraphy in particular. This is based on the recipient's understanding and interpretation of the dual phenomenon and the content's manifestation. More accurately, the disclosure of its reality through its expressive phenomenology; for that sake, the research was devoted to studying “undermining the familiar and embodiment content in Arabic calligraphy” including four chapters. The first chapter comprised

Praise be to Allaah Mahmoud every tongue, the idol of all time, which is not without
his knowledge everywhere, not occupied like for like, most of all likes and peer, and picnic
for wife and children, and carried out his reign in all the subjects, neither representative by the
brains to think, nor fancy hearts photography, (is not nothing like Him, He is the All-Seer),
and prayer and peace be upon the Messengers Muhammad and his family and companions
and followed them in truth until the Day of Judgment.
After…..
Has spoken in this search for The inheritance of women before and after Islam
legislative provisions which, because of its importance to show the right of women's rights,
which began Msluba before Isl

Administrative leaders conserned to understand the challenges which are faced their organizations and try to assimilate and adapt with the extent that achieves to it efficiency and effective- ess, and standing face to face to faceing any challenge.that threaten it’s existence thro- ugh using modern inputs reached to that level of these  challenges and applied the study on a sample deliberate random from teaching hospitals of the Directorate General for Health Baghdad Karkh, and the Directorate General for Health Baghdad Rusafa and the City of Medicine , The importance of t

Our life is a test and the eternal life in the afterlife. So we must work well in our life even win paradise, must always remember the death and there is a life after this death and we will be responsible for everything we've done in our life. God did not create us vain but for reward, punishment, for this we must have to well prepare for this great day and we have to think about what to do in order to win the paradise.
Keywords: paradise, surat al-rahman, preparation.

Digital literacy is crucial in the modern workforce, where technology plays an integral role in daily operations. This abstract explores the significance of digital literacy in enhancing productivity, efficiency, and competitiveness in the workplace. Digital literacy encompasses the ability to use and navigate digital tools and platforms effectively, including software, applications, and online communication tools. In today's digital age, employers increasingly value candidates with strong digital skills, as they are better equipped to adapt to rapidly evolving technologies. This abstract highlights the importance of digital literacy in empowering employees to perform tasks more efficiently, collaborate seamlessly, and innovate effecti

Words worth and the Intention of AL. Sayyab Discourse

The stanza in the sonnet has been defined as a set of poetic lines followed after proem
and be the same meter as that of proem in complete stanza, but in rhyme scheme different
from that meter. The couplet is defined as set of poetic lines that followed the stanza and be as
the same meter as that of stanza, but with different rhyme scheme. This definition is approved
by all specialized in field of Andalus literature and it was also proven to them that this
construction emptied of indications. This meter has endeavored to prove that that there were a
difference in denotation for meaning between the stanza and couplet. Thus, the sonneteers
have outweighed the sonnet of the blind "Tutaili" to their sonnets as they felt

The last decade of this 20th century provides a wide spread of applications of one of the computer techniques, which is called Fuzzy Logic. This technique depends mainly on the fuzzy set theory, which is considered as a general domain with respect to the conventional set theory. This paper presents in initiative the fuzzy sets theory and fuzzy logic as a complete mathematics system. Here it was explained the concept of fuzzy set and defined the operations of fuzzy logic. It contains eleven operations beside the other operations which related to fuzzy algebra. Such search is considered as an enhancement for supporting the others waiting search activities in this field.