the commentator suggests that it is necessary to extend the classical connotation of  global city which focuses much on the functions of controlling global capital and production. global city should also include the dimensions of the leading role and capacity on health improvements and well-being promotion. the commentator agrees with authors’ assessments about shanghai’s substantial progress o...

The commentator suggests that it is necessary to extend the classical connotation of  global city which focuses much on the functions of controlling global capital and production. Global city should also include the dimensions of the leading role and capacity on health improvements and well-being promotion. The commentator agrees with authors’ assessments about Shanghai’s substantial progress o...

Goldman, Joichi, and White proved a beautiful theorem showing that the falling factorial generating function for the rook numbers of a Ferrers board factors over the integers. Briggs and Remmel studied an analogue of rook placements where rows are replaced by sets of m rows called levels. They proved a version of the factorization theorem in that setting, but only for certain Ferrers boards. We...

[Purpose] To investigate the inter-rater and test-retest reliability of the sitting-rising test (SRT), the correlations of sitting-rising test scores with measures of strength, balance, community integration and quality of life, as well as the cut-off score which best discriminates people with chronic stroke from healthy older adults were investigated. [Subjects and Methods] Subjects with chron...

Rook theory has been investigated by many people since its introduction by Kaplansky and Riordan in 1946. Goldman, Joichi and White in 1975 showed that the sum over k of the product of the (n− k)-th rook numbers multiplied by the k-th falling factorial polynomials factorize into a product. In the sequel, different types of generalizations and analogues of this product formula have been derived ...

OBJECTIVE The primary goal was to determine the ability of older adults to rise from the floor. A secondary goal was to explore how rise ability might differ based on initial body positions and with or without the use of an assistive device. DESIGN Cross-sectional analysis of young, healthy older, and congregate housing older adults. SETTING University-based laboratory and congregate housin...

We investigate the coefficients generated by expressing the falling factorial (xy) as a linear combination of falling factorial products xy for l, m = 1, . . . , k. Algebraic and combinatoric properties are discussed, some in relation to Stirling numbers.