In this paper, a new algorithm to solve the discrete logarithm problem is presented which is similar to the usual baby-step giant-step algorithm. Our algorithm exploits the order of the discrete logarithm in the multiplicative group of a finite field. Using randomization with parallelized collision search, our algorithm indicates some weakness in NIST curves over prime fields which are consider...

We study the giant magnon solutions in the near horizon geometry of the Neveu-Schwarz (NS) 5-brane background. In conformal gauge, we find magnon dispersion relation in the large angular momentum (J) limit. We further show that the giant magnon poses uniform distribution of the angular momentum along the string world-sheet as in case of AdS5 × S5 spacetime.

Modeling Microdomain Evolution on Giant Unilamellar Vesicles using a Phase-Field Approach by Anand Embar Department of Civil and Environmental Engineering Duke University

Despite common belief, Baby Boomers form a sizable population of gamers. Paying attention to how this generation experiences a game can help companies that target this group of users increase their market share. To address this need, this study examines Baby Boomers’ reaction to a new way of manipulating objects in a game, namely with their eyes. In particular, the study focuses on testing the ...

One-step two-wavelength holography is obtained with twointerferometric beams with different wavelengths by means of apolarizing modulation produced by a liquid-crystal lightvalve. This holographic method eliminates the need for preliminarystatic recording of the hologram and permits one-step two-wavelengthholographic testing to produce results easily in real time.

Nilsequences arose in the study of the multiple ergodic averages associated to Furstenberg’s proof of Szemerédi’s Theorem and have since played a role in problems in additive combinatorics. Nilsequences are a generalization of almost periodic sequences and we study which portions of the classical theory for almost periodic sequences can be generalized for two step nilsequences. We state and pro...

Prorenin is an inactive form of the aspartic protease renin. Like pepsinogen, it is activated at low pH. The kinetics of acid activation of prorenin were studied in human amniotic fluid and plasma and in preparations of purified prorenin isolated from amniotic fluid and plasma. Conversion of prorenin (pR) into active renin (R) appeared to be a two-step process involving the generation of an int...