Marcinkiewicz multipliers are L bounded for 1 < p < ∞ on the Heisenberg group H ≃ C × R (D. Muller, F. Ricci and E. M. Stein [25], [26]). This is surprising in that this class of multipliers is invariant under a two parameter group of dilations on C × R, while there is no two parameter group of automorphic dilations on H. This lack of automorphic dilations underlies the inability of classical o...

Security competitions have become a popular way to foster security education by creating a competitive environment in which participants go beyond the effort usually required in traditional security courses. Live security competitions (also called “Capture The Flag,” or CTF competitions) are particularly well-suited to support handson experience, as they usually have both an attack and a defens...

BACKGROUND Flag (touch or intramural) football is a popular sport among the U.S. Air Force (USAF) active duty population and causes a substantial number of lost-workday injuries. The purpose of this study is to describe the mechanisms of flag-football injuries to better identify effective countermeasures. METHODS The data were derived from safety reports obtained from the USAF Ground Safety A...

We investigate a special class of polytopes, the zonotopes, and show that their flag f -vectors satisfy only the affine relations fulfilled by flag f -vectors of all polytopes. In addition, we determine the lattice spanned by flag f -vectors of zonotopes. By duality, these results apply as well to the flag f -vectors of central arrangements of hyperplanes.

The FLAG peptide, AspTyrLysAspAspAspAspLys, has been used as an epitope tag in a variety of cell types. The modification of the cytomegalovirus (CMV) promoter containing vector, pCMV5, to create two transient expression vectors designed for secretion and intracellular expression of FLAG-fusion proteins in mammalian cells is described. As a functional test, the bacterial alkaline phosphatase gen...

The flag Whitney numbers (also referred to as the flag f -numbers) of a geometric lattice count the number of chains of the lattice with elements having specified ranks. We give a collection of inequalities which imply all the linear inequalities satisfied by the flag Whitney numbers of rank 3 geometric lattices. We further describe the smallest closed convex set containing the flag Whitney num...