Terence Y. J. Zhang

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Schützenberger's theorem for the ordinary RSK correspondence naturally extends to Chen et. al's correspondence for matchings and partitions. Thus the counting of bilaterally symmetric k-noncrossing partitions naturally arises as an analogue for involutions. In obtaining the analogous result for 3-noncrossing partitions, we use a different technique to(More)
As two important mechanical properties, strength and ductility generally tend to be muturally exclusive in conventional engineering materials. The breakthrough of such a trade-off has been potentiated by the recently developed CuZr-based bulk metallic glass (BMG) composites ductilized by a shape memory CuZr(B2) phase. Here the microstructural dependences of(More)
α-amy gene amplified from barley genome was cloned into MCS of pGAP9K to generate pGAP9K-α-amy which was then transformed into Pichia pastoris GS115 by electroporation. Transformants with multi-copies and high expression for the foreign gene were selected on G418 containing plate and expression analysis. The fermentation was carried out in a 50 l bioreactor(More)
Hemangioma is a tumor that causes vascular endothelial cell hyperplasia, which commonly occur in newborns. Angiogenesis inhibitor targets the processes of angiogenesis, including the proliferation of vascular endothelial cells. A DNA sequence named Scl was designed, recombined into Pichia Pastoris, expressed by fermenting the engineered strain in a(More)
We establish a reflection principle for three lattice walkers and use this principle to reduce the enumeration of the configurations of three vicious walkers to that of configurations of two vicious walkers. In the combinatorial treatment of two vicious walkers, we make connections to two-chain watermelons and to the classical ballot problem. Precisely ,(More)
Gioan showed that the number of cycle reversing classes of totally cyclic orientations of a given graph can be calculated as an evaluation of the corresponding Tutte polynomial. We note that the concept of cycle reversing classes of orientations coincides with that of Eulerian-equivalence classes considered by Chen and Stanley, and Kochol. Based on this(More)
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