The analysis of covariance is often used in the context of premeasure/postmeasure designs to compare treatment and control groups in both randomized [1] and nonrandomized [2] studies. The intent is to adjust the difference between the changes in the 2 groups for any difference which might exist at baseline, i.e., for any difference between the premeasures in the 2 groups. An important assumptio...

Suppose one has n points, X = {x1, . . . , xn}, in Rd (with d large). If d > n, since the points have to lie in a subspace of dimension n it is clear that one can consider the projection f : Rd → Rn of the points to that subspace without distorting the geometry of X. In particular, for every xi and xj , ‖f(xi)− f(xj)‖ = ‖xi − xj‖, meaning that f is an isometry in X. Suppose now we allow a bit o...

The Johnson-Lindenstrauss lemma shows that a set of n points in high dimensional Euclidean space can be mapped down into an O(log n== 2) dimensional Euclidean space such that the distance between any two points changes by only a factor of (1). In this note, we prove this lemma using elementary probabilistic techniques.

On Saturday, September 19th, local citizens, historians, Civil War enthusiasts, and the rare college student alike converged at the LancasterHistory.org Campus of History for the second day of the President James Buchanan National Symposium. The theme for the symposium was "The Worlds of Thaddeus Stevens and James Buchanan: Race, Gender, and Politics in the Civil War Era," thus it featured the ...

stevens-johnson syndrome (sjs) and toxic epidermal necrolysis (ten) are severe adverse cutaneous reactions to drugs. we describe the case of a 19 year old patient with sjs/ten overlap syndrome, who developed severe interstitial pneumonia after she had received antiepileptic drugs. a cytomegalovirus infection was diagnosed by real time polymerase chain reaction (rt-pcr) detection on bronchoalveo...