A seven-step synthesis of orthogonally O-protected 2-deoxy-streptamine has been developed from readily available neomycin, with an overall yield of 28%. Key chemical transformations include a chemoselective glycosidic bond hydrolysis and two regioselective protective group manipulations involving acetylation and deacetylation. The synthetic route is amenable to scale-up for the production of mu...

Analyses of array-valued datasets often involve reduced-rank array approximations, typically obtained via least-squares or truncations of array decompositions. However, least-squares approximations tend to be noisy in high-dimensional settings, and may not be appropriate for arrays that include discrete or ordinal measurements. This article develops methodology to obtain low-rank model-based re...

Navier–Stokes equilibrium solutions of a viscous fluid confined between two infinite parallel plates that can independently stretch or shrink in orthogonal directions are studied. It is assumed the admissible satisfy spatial self-similarity stretching shrinking perpendicular coordinates. The nonlinear steady boundary-value problem discretized using spectral Legendre method, and found tracked tw...

Combining the orthogonal multiplexing signaling and the on-off-keyed signaling, the orthogonallymultiplexed on-off-keyed amplitude modulation (OMOAM) family and the orthogonally-multiplexed on-off-keyed phase modulation (OMOPM) family are proposed and investigated in this paper. Based on the maximum-likelihood principle, the optimum schemes for coherently demodulating OMOAM and OMOPM signals on...

here, the concept of electric capacity on finsler spaces is introduced and the fundamentalconformal invariant property is proved, i.e. the capacity of a compact set on a connected non-compact finslermanifold is conformal invariant. this work enables mathematicians and theoretical physicists to become morefamiliar with the global finsler geometry and one of its new applications.

Cavanaugh et al. [1] reported that different locations of the RF surround can have different modulatory effects on neural responses. In Fig. 9 and 10 of the main text we showed that our model can account for the positional bias observed in the data when stimulating the center and surround both with similarly oriented, and orthogonally oriented, grating patches; and that optimizing the model par...

In this paper, we give connection between the order of the generalized Baer-invariant of a pair of finite groups and its factor groups, when ? is considered to be the specific variety. Moreover, we give a necessary and sufficient condition in which the generalized Baer-invariant of a pair of groups can be embedded into the generalized Baer-invariant of pair of its factor groups.