We discuss the implications of the recently reported RK and RK∗ anomalies, the lepton flavor non-universality in the B → Kll and B → Kll. Using two sets of hadronic inputs of form factors, we perform a fit of the new physics to the RK and RK∗ data, and significant new physics contributions are found. We propose to study the lepton flavor universality in a number of related rare B,Bs, Bc and Λb ...

Antibacteriophage antibiotics, RK-1441A and B, related to neothramycin were isolated from the culture broth of Streptomyces sp. and their structures were deduced from spectroscopic analyses. The structure of RK-1441A was 8,11-dihydroxy-3,7-dimethoxy-5-oxo-1H-pyrrolo[2,1-c:1,4]benzodiazepine. RK-1441B is a tautomeric mixture at C-3 of the structure, 3,8,11-trihydroxy-7-methoxy-5-oxo-1H-pyrrolo[2...

A polymatroid rank function on a finite ground set E is a nondecreasing function rk : 2 → R satisfying (0) rk(∅) = 0; (2) rk(A) + rk(B) ≥ rk(A ∩ B) + rk(A ∪ B) for all A,B ⊆ E (the submodular inequality). (Note that everywhere R appears in these notes, any ordered abelian group would do just as well, though if the group is not divisible, some of the integrality statements become unimpressive an...

The aim of this paper is a) if Σak2 < ∞ then Σak rk(x) is in BMO that{rk(x)} is Rademacher system. b) P1k=1 ak!nk (x) 2 BMO; 2k nk < 2k+1that f!n(x)g is Walsh system. c) If jakj < 1k then P1k=1 ak!k(x) 2 BMO.

The virulence index of three Meloidogyne incognita field isolates to the resistance gene Rk in cowpea was 0%, 75%, and 120%, with the index measured as reproduction on resistant plants as a percentage of the reproduction on susceptible plants. Continuous culture of the 75% virulent isolate on susceptible tomato for more than 5 years (about 25 generations) resulted in virulence decline to about ...