Standard Young Tableaux and Colored Motzkin Paths

In this paper, we propose a notion of colored Motzkin paths and establish a bijection between the $n$-cell standard Young tableaux (SYT) of bounded height and the colored Motzkin paths of length $n$. This result not only gives a lattice path interpretation of the standard Young tableaux but also reveals an unexpected intrinsic relation between the set of SYTs with at most $2d+1$ rows and the set of SYTs with at most 2d rows.Comment: 21 page

A Study of the Job Stress and its Effect of the Information Systems Professional in Taiwan

This study conducts a survey to investigate the information systems professional\u27s job stress and its outcomes in Taiwan\u27s companies. The analysis is based on an organizational stress model. The results of this study indicate that (1) statistically significant difference exists between most of the job stressor and some items of the outcomes, (2) some moderating variables, such as type A personality and SDLC stage, are statistically significant in affecting the job stressor and the outcomes, and (3) statistically significant positive correlation exists between job satisfaction and psychological effects of the job stress

BPS States, String Duality, and Nodal Curves on K3

We describe the counting of BPS states of Type II strings on K3 by relating the supersymmetric cycles of genus $g$ to the number of rational curves with $g$ double points on K3. The generating function for the number of such curves is the left-moving partition function of the bosonic string.Comment: 12 pages, harvma

The Effects of Endurance Running Training on Young Adult Bone: Densitometry vs. Biomaterial Properties

Densitometric measurement of bone mineral parameters has been developed in recent decades. Since bone strength is associated with bone mineral density (BMD) and/or bone mineral content (BMC), densitometric measurement is widely accepted and used as one golden standard in clinical settings to determine bone health. Based on this concept, some human studies have suggested that endurance training, such as long distance running, provides no benefit and may even be harmful to bone health or bone mineral accretion during development, since long distance runners often have low BMD and/or BMC and may even exhibit conditions associated with bone loss or osteopenia.1, 2 Conversely, serum bone marker assays in healthy distance runners show normal or positive bone metabolism status.3, 4 Therefore, the definite role of endurance running training (ERT) on bone health remains a controversial issue. It would be valuable to further clarify whether ERT benefits bone health through a pathway other than absolutely increasing BMD or BMC. Clinical observations of human subjects require further basic studies to investigate possible mechanisms. Animal studies can provide unique ways not feasible in studies using human subjects of assessing the effects of endurance running on bone. Generally, previous animal studies further verified benefits of ERT to bone health. However, the limitations of animal studies must be clarified before applying their findings to human beings. The present article reviews the phenomena shown in bone of adolescent or young adult distance runners. Moreover, previous animal studies which adopted growing and young adult rats as subjects are reviewed, and the applicability of the findings to humans is also discussed