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327 results on '"Lin, Hui-Wen"'

3. Quantum flips I: local model

Author

Lee, Yuan-Pin, Lin, Hui-Wen, and Wang, Chin-Lung

Subjects
Mathematics - Algebraic Geometry, 14N35, 14E30
Abstract

We study analytic continuations of quantum cohomology under simple flips $f: X \dashrightarrow X'$ along the extremal ray quantum variable $q^\ell$. The inverse correspondence $\Psi = [\Gamma_f]^*$ by the graph closure gives an embedding of Chow motives $[\hat{X}'] \hookrightarrow [\hat{X}]$ which preserves the Poincar\'e pairing. We construct a deformation $\widehat{\Psi}$ of $\Psi = [\Gamma_f]^*$ which induces a non-linear embedding $$QH(X') \hookrightarrow QH(X)$$ in the category of $F$-manifolds into the regular integrable loci of $QH(X)$ near $q^\ell = \infty$. This provides examples of functoriality of quantum cohomology beyond $K$-equivalent transformations. In this paper, we focus on the case when $X$ and $X'$ are (projective) local models., Comment: 50 pages; v2: typos fixed

Published
2019

4. Lemon Peel Water Extract: A Novel Material for Retinal Health, Protecting Retinal Pigment Epithelial Cells against Dynamin-Related Protein 1-Mediated Mitochondrial Fission by Blocking ROS-Stimulated Mitogen-Activated Protein Kinase/Extracellular Signal-Regulated Kinase Pathway

Author

Tsou, Shang-Chun, primary, Chuang, Chen-Ju, additional, Wang, Inga, additional, Chen, Tzu-Chun, additional, Yeh, Jui-Hsuan, additional, Hsu, Chin-Lin, additional, Hung, Yu-Chien, additional, Lee, Ming-Chung, additional, Chang, Yuan-Yen, additional, and Lin, Hui-Wen, additional

Published
2024
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5. Quantum Cohomology under Birational Maps and Transitions

Author

Lee, Yuan-Pin, Lin, Hui-Wen, and Wang, Chin-Lung

Subjects
Mathematics - Algebraic Geometry, Mathematical Physics, 14N35, 14J32, 14E30
Abstract

This is an expanded version of the third author's lecture in String-Math 2015 at Sanya. It summarizes some of our works in quantum cohomology. After reviewing the quantum Lefschetz and quantum Leray--Hirsch, we discuss their applications to the functoriality properties under special smooth flops, flips and blow-ups. Finally, for conifold transitions of Calabi--Yau 3-folds, formulations for small resolutions (blow-ups along Weil divisors) are sketched., Comment: 20 pages. A contribution to "Proceedings of the String-Math 2015 Conference" to be published in AMS Proceedings of Symposia in Pure Mathematics

Published
2017

6. Plant Communities of the Tern Sanctuary on the Matsu Islands as a Breeding Habitat for Seabirds.

Author

Wang, Wei, Wang, Chun-Min, Ho, Yi-Chiao, Tang, Kuan-Chen, Liao, Min-Chun, Lin, Hui-Wen, and Tzeng, Hsy-Yu

Abstract

The Matsu Islands Tern Refuge comprises eight reefs located at a relay station on the East Asian bird migration route, and it attracts many transiting, wintering, or breeding birds to inhabit and live on the reefs every year. In order to understand the compositions of plant communities as a breeding habitat for seabirds, we investigated the plant communities of the eight reefs. A total of 130 plots of 10 × 10 square meters were established, from which we found 107 species of plants in 102 genera and 51 families. Among this, we found one critically endangered (CR) species, four vulnerable (VU) species, and three near-threatened (NT) species. The result of two-way indicator species analysis (TWINSPAN) and indicator value (IndVal) showed 130 samples were divided into 11 vegetation types; most of the vegetation types had significant indicator species. We also use the two-way to present the plot of detrended correspondence analysis (DCA) by vegetation types and reefs. Moreover, this result reveals that these samples were more clearly cluster divided by islands. Our results reveal that the compositions and characteristics of plant communities were related clearly to the environmental factors for each reef in the Matsu Islands Tern Refuge. Canonical correspondence analysis (CCA) indicated that species composition of vegetation yielded high correlation with soil property, especially with soil pH. In addition, we found that the traces of bird activity is relevant to the characteristics and structures of plant communities. We found that the plant communities comprising low-grass shrubs would provide relatively soft nesting materials and sheltering effects for eggs or hatchlings for terns. Compared to low-grass shrubs, the traits of high-grass shrubs would not be beneficial to nest for breeding of terns on the ground, and no nested trace was found in these plant communities. [ABSTRACT FROM AUTHOR]

Published
2024
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7. Statistical Analysis of Tonal Acquisition in Disyllabic Words among Polish Learners of Mandarin: A Comparative Study.

Author

Chu, Man-Ni, Chang, Carson, and Lin, Hui-Wen

Subjects
RANDOM effects model, LEARNING strategies, STATISTICS, COMPARATIVE studies
Abstract

In this study, we utilized a mixture random effects model and pairwise comparisons to conduct our analysis. Furthermore, we employed visualization techniques, specifically line plots in Python, to illustrate the tonal variations in disyllabic words among Polish learners of Mandarin. Our findings indicate that Polish learners experience more difficulty with the tonal contours of Tone 1 (T1) and Tone 2 (T2) compared to Taiwanese Mandarin (TM) natives, particularly due to the lower pitch range required. We provide potential pedagogical recommendations based on these results. We suggest that integrating training on T1 and T2 accompanied with Tone 3 (T3) and Tone 4 (T4), because of their lower endpoint tones, may offer a more effective learning strategy for these learners. [ABSTRACT FROM AUTHOR]

Published
2024
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10. Tautological systems under the conifold transition on $G(2, 4)$

Author

Lee, Tsung-Ju and Lin, Hui-Wen

Subjects
Mathematics - Algebraic Geometry
Abstract

Via a natural degeneration of Grassmannian manifolds $G(k,n)$ to Gorenstein toric Fano varieties $P(k,n)$ with conifold singularities, we suggest an approach to study the relation between the tautological system on $G(k,n)$ and the extended GKZ system on the small resolution $\hat{P}(k,n)$ of $P(k,n)$. We carry out the simplest case $(k,n)=(2,4)$ to ensure its validity and show that the extended GKZ system can be regarded as a tautological system on $\hat{P}(2,4)$., Comment: 30 pages. Comments are welcome

Published
2016

12. Towards $A + B$ theory in conifold transitions for Calabi-Yau threefolds

Author

Lee, Yuan-Pin, Lin, Hui-Wen, and Wang, Chin-Lung

Subjects
Mathematics - Algebraic Geometry, 14D05, 14D07, 14J32, 14N32, 81T45
Abstract

For projective conifold transitions between Calabi-Yau threefolds $X$ and $Y$, with $X$ close to $Y$ in the moduli, we show that the combined information provided by the $A$ model (Gromov--Witten theory in all genera) and $B$ model (variation of Hodge structures) on $X$, linked along the vanishing cycles, determines the corresponding combined information on $Y$. Similar result holds in the reverse direction when linked with the exceptional curves., Comment: 47 pages, references updated. To appear in J. Diff. Geometry

Published
2015

13. Invariance of Quantum Rings under Ordinary Flops II: A quantum Leray--Hirsch theorem

Author

Lee, Yaun-Pin, Lin, Hui-Wen, and Wang, Chin-Lung

Subjects
Mathematics - Algebraic Geometry, 14N35, 14E30
Abstract

This is the second of a sequence of papers proving the quantum invariance for ordinary flops over an arbitrary smooth base. In this paper, we complete the proof of the invariance of the big quantum rings under ordinary flops of splitting type. To achieve that, several new ingredients are introduced. One is a quantum Leray--Hirsch theorem for the local model (a certain toric bundle) which extends the quantum D module of Dubrovin connection on the base by a Picard--Fuchs system of the toric fibers. Nonsplit flops as well as further applications of the quantum Leray--Hirsch theorem will be discussed in subsequent papers. In particular, a quantum splitting principle is developed in Part III which reduces the general ordinary flops to the split case solved here., Comment: 39 pages, the final version to appear in Algebraic Geometry

Published
2013

14. Invariance of Quantum Rings under Ordinary Flops I: Quantum corrections and reduction to local models

Author

Lee, Yuan-Pin, Lin, Hui-Wen, and Wang, Chin-Lung

Subjects
Mathematics - Algebraic Geometry, Mathematical Physics, Mathematics - Symplectic Geometry, 14N35, 14E30
Abstract

This is the first of a sequence of papers proving the quantum invariance under ordinary flops over an arbitrary smooth base. In this first part, we determine the defect of the cup product under the canonical correspondence and show that it is corrected by the small quantum product attached to the extremal ray. We then perform various reductions to reduce the problem to the local models. In Part II, we develop a quantum Leray--Hirsch theorem and use it to show that the big quantum cohomology ring is invariant under analytic continuations in the K\"ahler moduli space for ordinary flops of splitting type. In Part III, together with F. Qu, we remove the splitting condition by developing a quantum splitting principle, and hence solve the problem completely., Comment: 38 pages, the final version to appear in Algebraic Geometry

Published
2011

17. Flops, motives and invariance of quantum rings

Author

Lee, Y. -P., Lin, Hui-Wen, and Wang, Chin-Lung

Subjects
Mathematics - Algebraic Geometry, Mathematical Physics, 14N35, 14E30
Abstract

For ordinary flops, the correspondence defined by the graph closure is shown to give equivalence of Chow motives and to preserve the Poincar\'e pairing. In the case of simple ordinary flops, this correspondence preserves the big quantum cohomology ring after an analytic continuation over the extended K\"ahler moduli space. For Mukai flops, it is shown that the birational map for the local models is deformation equivalent to isomorphisms. This implies that the birational map induces isomorphisms on the full quantum rings and all the quantum corrections attached to the extremal ray vanish., Comment: 51 pages, 2 figures, final version to appear in Annals of Mathematics

Published
2006

27. Dunaliella salina Alga Protects against Myocardial Ischemia/Reperfusion Injury by Attenuating TLR4 Signaling

Author

Tsai, Chin-Feng, primary, Lin, Hui-Wen, additional, Liao, Jiuan-Miaw, additional, Chen, Ke-Min, additional, Tsai, Jen-Wei, additional, Chang, Chia-Sung, additional, Chou, Chia-Yu, additional, Su, Hsing-Hui, additional, Liu, Pei-Hsun, additional, Chu, Ya-Chun, additional, Wang, Yi-Hsin, additional, Wang, Meilin, additional, and Huang, Shiang-Suo, additional

Published
2023
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38. Impact of the Dual Antiplatelet Therapy Score on Clinical Outcomes in Acute Coronary Syndrome Patients Receiving P2Y12 Inhibitor Monotherapy

Author

Huang, Sheng-Wei, primary, Chen, Po-Wei, additional, Feng, Wen-Han, additional, Hsieh, I-Chang, additional, Ho, Ming-Yun, additional, Cheng, Chung-Wei, additional, Yeh, Hung-I, additional, Chen, Ching-Pei, additional, Huang, Wei-Chun, additional, Fang, Ching-Chang, additional, Lin, Hui-Wen, additional, Lin, Sheng-Hsiang, additional, Tsai, Chin-Feng, additional, Su, Chun-Hung, additional, and Li, Yi-Heng, additional

Published
2022
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