We take an algorithmic and computational approach to a basic problem in abstract algebra: determining the correct generalization to dialgebras of a given variety of nonassociative algebras. We give a simplified statement of the KP algorithm introduced by Kolesnikov and Pozhidaev for extending polynomial identities for algebras to corresponding identities for dialgebras. We apply the KP algorith...

A Novel High Quality High Capacity Image Hiding Scheme Based on Image Compression and an Optical Pixel Adjustment Process Lo'ai A. Tawalbeh a , Omar Banimelhem b & Mohammed Al-Batati b a Department of Computer Engineering, Jordan University of Science and Technology (JUST), Irbid, Jordan b Department of Network Engineering and Security, Jordan University of Science and Technology (JUST), Irbid,...

A commutative loop is Jordan if it satisfies the identity x2(yx) = (x2y)x. Using an amalgam construction and its generalizations, we prove that a nonassociative Jordan loop of order n exists if and only if n ≥ 6 and n 6= 9. We also consider whether powers of elements in Jordan loops are well-defined, and we construct an infinite family of finite simple nonassociative Jordan loops.

This work concerns in part the construction of conformal Jordan cells of infinite rank and their reductions to conformal Jordan cells of finite rank. It is also discussed how a procedure similar to Lie algebra contractions may reduce a conformal Jordan cell of finite rank to one of lower rank. A conformal Jordan cell of rank one corresponds to a primary field. This offers a picture in which any...

1479. WHO Severe Acute Respiratory Infections (SARI) Definition often Underdiagnoses Serious Respiratory Viral Infections in Hospitalized Jordanian Children Najwa Khuri-Bulos, MD, FIDSA; Bhinnata Piya, MPH; Asem Shehabi, DSC; Samir Faouri, MD; John V. Williams, MD, MPH; Sten Vermund, MD, PhD, FIDSA and Natasha B. Halasa, MD, MPH, FPIDS; University of Jordan, Amman, Jordan, Vanderbilt University...