The fundamental concepts of neutrosophic set, introduced by Smarandache in [ 38, 39, 40], and Salama et al. in [20-37], provides a natural foundation for treating mathematically the neutrosophic phenomena which exist pervasively in our real world and for building new branches of neutrosophic mathematics. Neutrosophy has laid the foundation for a whole family of new mathematical theories general...

his article as: Salama, A f three retrofitted build Abstract Recently there has been a growing trend to encourage learning outside the classrooms, socalled ‘universities without walls.’ To this end, mechanisms for learning beyond the boundaries of classroom settings can provide enhanced and challenging learning opportunities. This paper introduces Appreciative Inquiry (AI) as a mechanism that i...

Visual space is represented by cortical cells in an orderly manner. Only little variation in the cell behavior is found with changing depth below the cortical surface, that is, all cells in a column with axis perpendicular to the cortical plane have approximately the same properties (Hubel and Wiesel 1962, 1963, 1968). Therefore, the multiple features of the visual space (e.g., position in visu...

In this work the problem of displacing a ganglion ?uid by another immiscible one in capillaries is investigated. A modeling approach developed to predict location with time. The model describes two patterns; namely, when totally exists inside tube, and advancing interface has broken through exit tube. valid for case which wetting as well it nonwetting wall It also considers situation both reced...

At the end of the 20th century, and as we approach the beginning of the third millennium, a moment of reflection and contemplation is really needed. In the past decade there have been radical changes in architectural practices in Egypt. It has become common to observe that major shifts are occurring in the realms of architecture and urbanization. These shifts are dramatically changing the publi...

where ‘aa’ is a plural term, and ‘F’ a plural predicate. Following George Boolos (1984) and others, many philosophers and logicians also think that plural expressions should be analysed as not introducing any new ontological commitments to some sort of ‘plural entities’, but rather as involving a new form of reference to objects to which we are already committed (for an overview and further det...

In this note found in the Nachlass, Zermelo describes his ideas in 1930 on the construction of a model of set theory and, with it, the consistency of set theory. As such, the note provides details on the first two topics that Zermelo had listed in the appendix, “Synopsis of further investigations currently in preparation”, of his report s1930d to the Notgemeinschaft der Deutschen Wissenschaft f...

When we interpret modal ♦ as the limit point operator of a topological space, the Gödel-Löb modal system GL defines the class Scat of scattered spaces. We give a partition of Scat into α-slices Sα , where α ranges over all ordinals. This provides topological completeness and definability results for extensions of GL. In particular, we axiomatize the modal logic of each ordinal α, thus obtaining...