Tu-chung (Eucommia ulmoides, Oliver) is a Chinese medical herb which has been used for the sake of health for a few thousand years. In animal experiments, it was reported that Tu-chung leaf extract increased relative weight of both liver and small intestine in the rat (MA et al., 1987), and body weight of mice (YoxoGosHi et al., 1991). In laying hens, SHIOYA et al., (1990) reported that adminis...

We generalize the elegant bijective proof of the Chung Feller theorem from the paper of Young-Ming Chen [The Chung-Feller theorem revisited, Disc. Math. 308 (2008), 1328–1329].

Large Schröder paths, sparse noncrossing partitions, partial horizontal strips, and 132-avoiding alternating sign matrices are objects enumerated by Schröder numbers. In this paper we give formula for the number of Schröder objects with given type and number of connected components. The proofs are bijective using ChungFeller style. A bijective proof for the number of Schröder objects with given...

Jae-Young Chung Department of Mathematics, Kunsan National University, Kunsan 573-701, South Korea Correspondence should be addressed to Jae-Young Chung, [email protected] Received 1 October 2008; Revised 22 December 2008; Accepted 25 December 2008 Recommended by Patricia J. Y. Wong We consider an n-dimensional version of the functional equations of Aczél and Chung in the spaces of generaliz...