We construct a new harmonic family: dielectric flow solutions with maximal supersymmetry in eleven-dimensional supergravity. These solutions are asymptotically AdS4 ×S7, while in the infra-red the M2 branes are dielectrically polarized into M5 branes. These solutions are holographically dual to vacua of the mass deformed theory on M2 branes. They also provide an interesting insight on the super...

As mentioned before, the success of CASE relies on two noteworthy properties: the Sure Screening (SS) property and the Separable After Screening (SAS) property. In this section, we discuss the two properties in detail, and illustrate how these properties enable us to decompose the original regression problem to many small-size regression problems which can be fit separately. We then use these p...

I describe a modification to Shanks’ baby-step giant-step algorithm for computing the order n of an element g of a group G, assuming n is finite. My method has the advantage of being able to compute n quickly, which Shanks’ method fails to do when the order of G is infinite, unknown, or much larger than n. I describe the algorithm in detail. I also present the results of implementations of my a...

introduction: the preparation of the root canal space includes debridement, shaping and apical preparation. these procedures are challenging and constitute. the recent introduction of automated techniques for canal preparation has created considerable interest. the aim of this study was to test shaping ability of one hand instrumentation (passive step-back technique) and new rotary niti system ...

From the coordinates transformation, we can see that only after i 1 (ri 1 (t)) is obtained can hi (ri (t )) be obtained. After we obtain hi (ri (t )) ; ~ ij (rj (t )) can be determined from (6). In other words, ~ ij (rj (t )) can not be determined until i 1 (ri 1 (t)) is obtained. However, from the iterative procedure in the main result of [1], we can see that function i 1 (ri 1 (t)) is obtaine...

Baby boomers will begin entering old age in 2011. They will be the largest and most diverse cohort ever to experience this life-course transition. The sheer number of baby boomers has challenged institutions time after time (Dychtwald, 1990). Despite extensive speculation regarding the political, economic, and social impact that the aging of baby boomers will have on American society, no one ha...

We argue that the giant graviton configurations known from the literature have a complementary, microscopical description in terms of multiple gravitational waves undergoing a dielectric (or magnetic moment) effect. We present a non-Abelian effective action for these gravitational waves with dielectric couplings and show that stable dielectric solutions exist. These solutions agree in the large...

The K variant of human butyrylcholinesterase is caused by a G/A transition in the butyrylcholinesterase gene, which neither creates nor destroys any restriction site. In an attempt to detect the K variant both simply and rapidly, we developed a two step method of "PCR primer introduced restriction analysis" (PCR-PIRA). The first step was used to introduce a new Fun4HI site into the normal allel...

In this paper, we consider the problem of computing numerical solutions for stochastic differential equations (SDEs) of Itô form. A fully explicit method, the split-step forward Milstein (SSFM) method, is constructed for solving SDEs. It is proved that the SSFM method is convergent with strong order γ = 1 in the mean-square sense. The analysis of stability shows that the mean-square stability p...