We introduce a new formal logic, called equality propositional logic. It has two basic connectives, $boldsymbol{wedge}$ (conjunction) and $equiv$ (equivalence). Moreover, the $Rightarrow$ (implication) connective can be derived as $ARightarrow B:=(Aboldsymbol{wedge}B)equiv A$. We formulate the equality propositional logic and demonstrate that the resulting logic has reasonable properties such a...

This article addresses various controversial issues relevant to the status of Egyptian women in personal affairs, specifically validity customary marriage and divorce, implications Khul’, wife’s right file for divorce case her husband’s remarriage another woman. By critically examining these matters, aims shed light on challenges faced by advocate necessary reforms. The delves into legal intric...

Sorting is the fundamental algorithmic problem in computer science. It is the first step in solving many other algorithmic problems. Donald Knuth, a world famous computer scientist and author of the book “The Art of Computer Programming, Volume 3: Sorting and Searching”, wrote: “I believe that virtually every important aspect of programming arises somewhere in the context of searching or sorting”.

Androgen receptor (AR) signaling is essential for cancer cell proliferation throughout much, if not all, of the course of a patient’s journey through prostate cancer. Discovery of the AR in the late 1960s prompted development of antiandrogen drugs that competitively inhibit binding of androgens to the AR ligandbinding domain (LBD), leading to conformational changes in AR that disrupt its functi...

In this submission to MIREX’07, we implement various modifications to the Algorithm G1C by Elias Pampalk which ranked first in last year’s MIREX AudioSim task. Although each of the modifications showed only minor effects in our experiments, their combination constantly outperformed the original algorithm in our automated tests. Therefore, we consider it worth submitting the resulting algorithm ...