Dynamic systems based on double parallel reactions have been generated and resolved in situ by secondary lipase-catalyzed asymmetric transformation, resulting in high chemo- and enantioselectivities.

A highly enantioselective transformation catalyzed by chiral (acyclic diaminocarbene)gold(I) complexes is reported. The enantioselective synthesis of 2-substituted chromenyl pivalates from racemic phenol-substituted propargyl pivalates was developed. Rearrangement of the substrates in the presence of cationic gold gave allene intermediates, whose cyclization resulted in formation of enantioenri...

The asymmetric alkylation of ketones represents a fundamental transformation in organic chemistry. Chiral auxiliaries have been used almost exclusively for this transformation. Herein we describe a strategy for the generation of enantiomerically enriched α-alkylated ketones up to an er of 83 : 17, using a chiral ligand protocol.

This paper presents protocol for Kak’s cubic transformation and proposes a modification to DiffieHellman key exchange protocol in order to achieve asymmetric oblivious exchange of keys. The cubic transformation may be used to develop a cryptosystem that is more efficient than Rabin’s cryptosystem. The oblivious key exchange has applications in mutual exchange of secrets and m -out-ofn oblivious...

We apply the graphic transformation method[11],[25] to obtain the steady state distribution of asymmetric Boltzmann machines as an extension of the symmetric equilibrium case. We give the magnitude of deviation from the equilibrium explicitly as a function of the asymmetry in the connections between the neurons. We show that the steady state of asymmetric Boltzmann machines is characterized by ...

COP-Cl catalyzes the rearrangement of (E)-allylic trichloroacetimidates to provide transposed allylic trichloroacetamides of high enantiopurity, a transformation that underlies the first truly practical method for transforming prochiral allylic alcohols to enantioenriched allylic amines and congeners. The high functional group compatibility of this asymmetric rearrangement and the demonstrated ...