It is shown that it follows from Martin’s Axiom that there is a compact sequential space with sequential order at least four.

We’ve hit the big three theorems of vector calculus: Green’s, Stokes’, and the Divergence Theorem (although Green’s theorem is really a pretty obvious special case of Stokes’ theorem). But it’s an amazing fact that all of these theorems are really special cases of an even larger theorem that unifies all that we’ve studied so far. This new theory also extends what we’ve done to spaces of arbitra...

Orbital-free density functional theory (OFDFT), with its attractive linearly scaling computation cost and low prefactor, is one of the most powerful first principles methods for simulating large systems (~10(4)-10(6) atoms). However, approximating the electron kinetic energy with density functionals limits the accuracy and generality of OFDFT compared to Kohn-Sham density functional theory (KSD...

Aurovertins B and D inhibited the adenosine triphosphatase (ATPase) activity of soluble Escherichia coli coupling factor ATPase (BF1) isolated from wile-type E. coli K-12. Half inhibition was obtained with 2 microns aurovertin B and 0.9 microns aurovertin D. Aurovertins B and D had no inhibitory effect on BF1 isolated from the aurovertin-resistant E. coli mutant MA12. Acetylation or saponificat...

To identify volatile constituents in Typhonium giganteum Engl., and clarify their effects on proliferation of breast cancer T47D cell lines. Volatile constituents in Typhonium giganteum Engl. are extracted by steam distillation, and determined by GC-MS. 24, 48 and 72 h after treatment of T47D cells with different concentrations of Typhonium giganteum Engl. volatile (DJL-V) constituents, methyl ...