We expand on the idea that spacetime signature should be treated as a dy-namical degree of freedom in quantum field theory. It has been argued that the probability distribution for signature, induced by massless free fields, is peaked at the Lorentzian value uniquely in D=4 dimensions. This argument is reviewed, and certain consistency constraints on the generalized signature (i.e. the tangent ...

We prove the exceptional zero conjecture is true for semistable elliptic curves E/Q over number fields of the form F ( e2πi/q n ,∆ 1/q 1 , . . . ,∆ 1/q d ) where F is a totally real field, and the split multiplicative prime p 6= 2 is inert in F (e2πi/q n ) ∩ R. In 1986 Mazur, Tate and Teitelbaum [9] attached a p-adic L-function to an elliptic curve E/Q with split multiplicative reduction at p. ...

As the popularity of wireless networks increases, so does the need to protect them. Encryption algorithms play a main role in information security systems. On the other side, those algorithms consume a significant amount of computing resources such as CPU time, memory, and battery power. This paper illustrates the key concepts of security, wireless networks, and security over wireless networks....

Islamic building codes require mosques to face Mecca. The further Islam spreads, the more apt are believers to fall into a quandary. X faces Y only when the front of X is closer to Y than any other side of X. So the front of the mosque should be oriented along a shortest path to Mecca. Which way is that? Does the path to Mecca tunnel through the earth? Or does the path follow the surface of the...

The explosive growth in wireless networks over the last few years resembles the rapid growth of the Internet within the last decade. During the beginning of the commercialization of the Internet, organizations and individuals connected without concern for the security of their system or network. Over time, it became apparent that some form of security was required to prevent outsiders from expl...

Atypical presentations of acute coronary syndromes (ACS) are not uncommon and have been associated with higher mortality probably, because these patients are misdiagnosed and undertreated. They are most frequently encountered in older patients, women and in patients with diabetes, chronic renal failure or dementia. It is also well described in the literature that many chemotherapy agents are as...