In wireless sensor networks, clustering plays a very important role for energy savings at each node because it reduces the number of transmissions through TDMA based communication. For secure clustering, it is very crucial to find compromised nodes and remove them during the initial cluster formation process. If some nodes are compromised and survive from the exclusion process of normal nodes, ...

and set Λ1 = y > 0. We shall occasionally write Λp(y) to emphasize the dependence of Λp on the initial value y. It is clear that Λp(cy) = c Λp(y). Therefore if Λp(y) → ∞ as p → ∞ and c > 1, then Λp(y ) → ∞ as p → ∞ where y = cy. On the other hand if Λp(y) → 0 and 0 < c < 1, then Λp(y ) → 0. Thus there exist y and y such that Λp(y) → ∞ for y ∈ (y,∞) with y as small as possible and Λp(y) → 0 for ...

PERHAPS the most persistent problem with regard to the unity and composition of the book of Daniel has been the relation of its first six chapters to its latter half. Although several divergent views have been held (particularly as to the age and provenance of chapters 1 and 7, these may presently be reduced to a widely held consensus: "The first six chapters of the book contain material which ...

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The Sun’s orbital motion around the Solar System barycentre contributes a small quadrupole moment to the gravitational energy of Mercury. The effect of this moment has until now gone unnoticed, but it actually generates some precession of Mercury’s orbit. Therefore the residual 43arcsec/cy, currently allocated to general relativity, has to account for this new component as well as a reduced rel...

ing an object’s form from its precise location, size, or ori-entation is clearly important for tasks such as recognition and cat-egorization. However, there are plenty of situations in which anobject’s location and orientation are important, not least when wewant to interact with that object by picking it up or manipulatingit. The processing of location and orientation appea...

Many protocols such as clustering are proposed to minimize and balance energy consumption of the network because WSN (wireless sensor network) is energy-limited. In clustering protocols, CHs (cluster head) consume much more energy than its CMs (cluster member) which leads to the faster death of CHs. Many traditional protocols are designed to solve the problem, but they have some drawbacks respe...

We review some recent results on D-branes on Calabi-Yau (CY) manifolds. We show the existence of structures (helices and quivers) which enable one to make statements about large families of D-branes in various phases of the Gauged Linear Sigma Model (GLSM) associated with the CY manifold. A comparison of the quivers of two phases leads to the prediction that certain D-brane configurations will ...