An Economy-wide Analysis of Impacts of WTO Tiered Formula for Tariff Reduction on Taiwan

In this study we use Taiwan as a case study to provide an economy-wide analysis of impacts on Taiwan of WTO tariff reduction schemes with different combinations of thresholds and reduction rates. The model we utilized in this study is Taiwan General Equilibrium Model with a WTO module (TAIGEM-WTO, hereafter) that is a multi-sectoral computable general equilibrium (CGE) model of the Taiwan's economy derived from Australian ORANI model (Dixon, Parmenter, Sutton and Vincent, 1982). Simulation results show that results are more sensitive to the scheme of tariff-reduction (i.e., Category 1, 2, and 3) than the tiered levels (i.e., A, B, C, and D) and as a strategy we should pay more attention to the arguments related to the amounts of tariff-reduction. Moreover, changes in nominal average tariff rates are more sensitive and shocks to the economy are more severe when we change the tariff reduction categories rather than the tiered levels. This conclusion also applies to the tiered reduction case when only sensitive products are considered. Finally, simulations with sector's bound rate calculated using arithmetic means have bigger effects than those using import values as weights. Therefore, sector's bound rate using import values as weights would be preferred.International Relations/Trade,

PELVIS-SHOULDER MOVEMENT VARIABILITY AND CUETIP MOTION DURING THE WARM-UP AND FINAL STROKES IN POOL

The purpose of this study was to investigate the variation and variability of cuetip, shoulder and pelvis on stop shot, push shot and draw shot during warm-up strokes (W3, W2, W1) and final stroke (FS). Eight cameras were used to determine three-dimensional motions of cue, shoulder and pelvis for a pool world cup championships winner. The results showed that the largest variation was presented in the final stroke as well as the greatest consistence through trials. Variation of shoulder and pelvis was supposed an essential factor for a pool shoot. The cuetip, shoulder, and pelvis all demonstrate the similar pattern with greatest variability in first warm stoke and greatest consistence on the final stroke. The variability will converge to from the warm-up strokes to the final stroke

Maps Preserving Schatten p

We study maps ϕ of positive operators of the Schatten p-classes (1<p<+∞), which preserve the p-norms of convex combinations, that is,   ∥tρ+(1-t)σ∥p=∥tϕ(ρ)+(1-t)ϕ(σ)∥p,  ∀ρ,σ∈p+(H)1,  t∈[0,1]. They are exactly those carrying the form ϕ(ρ)=UρU* for a unitary or antiunitary U. In the case p=2, we have the same conclusion whenever it just holds ∥ρ+σ∥2=∥ϕ(ρ)+ϕ(σ)∥2 for all the positive Hilbert-Schmidt class operators ρ,σ of norm 1. Some examples are demonstrated

Nonsurjective zero product preservers between matrices over an arbitrary field

In this paper, we give concrete descriptions of additive or linear disjointness preservers between matrix algebras over an arbitrary field $\mathbb{F}$ of different sizes. In particular, we show that a linear map $\Phi: M_n(\mathbb{F}) \rightarrow M_r(\mathbb{F})$ preserving zero products carries the form $$\Phi(A)= S\begin{pmatrix} R\otimes A & 0 \cr 0 & \Phi_0(A)\end{pmatrix} S^{-1},$$ for some invertible matrices $R$ in $M_k(\mathbb{F})$, $S$ in $M_r(\mathbb{F})$ and a zero product preserving linear map $\Phi_0: M_n(\mathbb{F}) \rightarrow M_{r-nk}(\mathbb{F})$ with range consisting of nilpotent matrices. Here, either $R$ or $\Phi_0$ can be vacuous. The structure of $\Phi_0$ could be quite arbitrary. We classify $\Phi_0$ with some additional assumption. When $\Phi(I_n)$ has a zero nilpotent part, especially when $\Phi(I_n)$ is diagonalizable, we have $\Phi_0(X)\Phi_0(Y) = 0$ for all $X, Y$ in $M_n(\mathbb{F})$, and we give more information about $\Phi_0$ in this case. Similar results for double zero product preservers and orthogonality preservers are obtained.Comment: 29 page

Development and validation of molecular markers for characterization of Boehmeria nivea var. nivea and Boehmeria nivea var. tenacissima

<p>Abstract</p> <p>Background</p> <p>The root of <it>Boehmeria </it>spp (ramie) is a hepatoprotective Chinese herbal medicine. Medicinal properties vary between <it>Boehmeria nivea </it>var. <it>nivea </it>and <it>Boehmeria nivea </it>var. <it>tenacissima</it>, which are local species found in Taiwan. As commercial preparations may use either species, there is a need for a rapid and simple assay to identify variants for quality control.</p> <p>Methods</p> <p>Four methods were developed and tested for their applicability in differentiating the two species. These methods were random amplified polymorphic DNA (RAPD); sequence characterized amplified regions (SCAR); single nucleotide polymorphisms (SNP) and cleaved amplified polymorphic sequences (CAPS).</p> <p>Results</p> <p>Three RAPD markers were developed that produced unique bands in <it>B. nivea </it>var. <it>tenacissima </it>and <it>B. nivea </it>var. <it>nivea</it>. Based on sequenced RAPD bands, one SCAR marker was developed that produced a single DNA band in <it>B. nivea </it>var. <it>nivea</it>. Two SNP markers differentiated between <it>B. nivea </it>var. <it>nivea </it>and <it>B. nivea </it>var. <it>tenacissima </it>based on single nucleotide substitutions. A pair of CAPS oligonucleotides was developed by amplifying a 0.55-kb DNA fragment that exhibited species-specific digestion patterns with restriction enzymes <it>Alf </it>III and <it>Nde </it>I. Consistent results were obtained with all the four markers on all tested <it>Boehmeria </it>lines.</p> <p>Conclusion</p> <p>The present study demonstrates the use of the RAPD, SCAR, SNP and CAPS markers for rapid identification of two closely related <it>Boehmeria </it>species.</p