which blows up for t = −ab . Fixing a ∼ 1, b ∼ −1, it is then a natural question to ask whether one may perturb the initial data of (1.2) at time t = 0 such that the corresponding solution exhibits the same type of blow-up behavior. More precisely, the solution should asymptotically behave like √ 1 T−te iΨ(t,x)φ( T−t ) for a bounded function μ(t) and suitable Schwartz function φ, with blow up t...

In [2] and [31 the authors ask how many primes are of the Smarandache form (see [10]) x Y + yX, where gcd (x, y) = 1 and x, y ~ 2. In [6] the author showed that there are only finitely many numbers of the above form which are products of factorials. In this article we propose the following Conjecture 1. Let a, b, and c be three integers with ab i= O. Then the equation with x, y, n ~ 2, and gcd ...

Appropriate Questions:  What are you looking for in a summer intern? (then be prepared to demonstrate how you fit those desired skills)  What has been your most interesting case/project in the past year?  What drew you to this employer/what was your path to this organization/firm?  I spoke with ______, the Michigan student who worked here two summers ago, and s/he said (fill in positive asp...

T he amyloid hypothesis of Alzheimer disease (AD) pathogenesis has been the leading theory behind our understanding of the disease mechanism and the predominant therapeutic target for the past decade or more. 1 The rationale for believing that b-amyloid (Ab) is critical to the etiology of AD is simple and compelling. Very high levels of an amyloidogenic peptide, Ab, accumulate in the brains of ...

We exploit the 2011 EBA Capital exercise, a quasi-natural experiment that required number of banks to increase their regulatory capital. This makes secured lending for affected more attractive vis-à-vis unsecured lending, because loans require less Using loan-level data covering universe bank in Portugal, we identify how collateral on new when facing higher capital requirements: relative contro...