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Search Results: 1 - 10 of 53768 matches for " Wei-Hsuan Hsu "
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There are no 76 equiangular lines in $R^{19}$
Wei-Hsuan Yu
Mathematics , 2015,
Abstract: Since 1973, the maximum number of equiangular lines in $\mathbb{R}^{19}$ has been known to be between 72 and 76. Based on the nonexistence of strongly regular graph $(75,32,10,16)$, the Larman-Rogers-Seidel Theorem and the Lemmens-Seidel bound on equiangular lines with common angle $\frac 1 3$, we can prove that there are no 76 equiangular lines in $\mathbb{R}^{19}$. As a corollary, there is no strongly regular graph (76,35,18,14) which is still open in Brouwer's table.
Diet-Induced Obesity Exacerbates Auditory Degeneration via Hypoxia, Inflammation, and Apoptosis Signaling Pathways in CD/1 Mice
Juen-Haur Hwang, Chuan-Jen Hsu, Wei-Hsuan Yu, Tien-Chen Liu, Wei-Shiung Yang
PLOS ONE , 2013, DOI: 10.1371/journal.pone.0060730
Abstract: The aim of this study was to investigate the mechanisms of diet-induced obesity on hearing degeneration in CD/1 mice. Sixty 4-week-old male CD/1 mice were randomly and equally divided into 2 groups. For 16 weeks, the diet-induced obesity (DIO) group was fed a high fat diet and the control group was fed a standard diet of 13.43 % kcal fat. The morphometry, biochemistry, auditory brainstem response thresholds, omental fat, and histopathology of the cochlea were compared between the beginning and end of the study (4 vs. 20 weeks old). The results show that the body weight, fasting plasma triglyceride concentrations, and omental fat weight were higher in the DIO group than in the control group at the end of experiment. The auditory brainstem response thresholds at high frequencies were significantly elevated in the DIO group compared to those of the control group. Histology studies showed that, compared to the control group, the DIO group had blood vessels with smaller diameters and thicker walls in the stria vascularis at the middle and basal turns of the cochlea. The cell densities in the spiral ganglion and spiral ligament at the basal turn of the cochlea were significantly lower in the DIO group. Immunohistochemical staining showed that hypoxia-induced factor 1 (HIF-1), tumor necrosis factor alpha (TNF-α), nuclear factor kappa B (NF-κB), caspase 3, poly(ADP-ribose) polymerase-1, and apoptosis inducing factor were all significantly more dense in the spiral ganglion and spiral ligament at the basal turn of cochlea in the DIO group. Our results suggest that diet-induced obesity exacerbates hearing degeneration via increased hypoxia, inflammatory responses, and cell loss in the spiral ganglion and spiral ligament and is associated with the activation of both caspase-dependent and -independent apoptosis signaling pathways in CD/1 mice.
Fagopyrum tataricum (Buckwheat) Improved High-Glucose-Induced Insulin Resistance in Mouse Hepatocytes and Diabetes in Fructose-Rich Diet-Induced Mice
Chia-Chen Lee,Wei-Hsuan Hsu,Siou-Ru Shen,Yu-Hsiang Cheng,She-Ching Wu
Experimental Diabetes Research , 2012, DOI: 10.1155/2012/375673
Abstract: Fagopyrum tataricum (buckwheat) is used for the treatment of type 2 diabetes mellitus in Taiwan. This study was to evaluate the antihyperglycemic and anti-insulin resistance effects of 75% ethanol extracts of buckwheat (EEB) in FL83B hepatocytes by high-glucose (33 mM) induction and in C57BL/6 mice by fructose-rich diet (FRD; 60%) induction. The active compounds of EEB (100 μg/mL; 50 mg/kg bw), quercetin (6 μg/mL; 3 mg/kg bw), and rutin (23 μg/mL; 11.5 mg/kg bw) were also employed to treat FL83B hepatocytes and animal. Results indicated that EEB, rutin, and quercetin
New bounds for equiangular lines
Alexander Barg,Wei-Hsuan Yu
Mathematics , 2013,
Abstract: A set of lines in $\mathbb{R}^n$ is called equiangular if the angle between each pair of lines is the same. We address the question of determining the maximum size of equiangular line sets in $\mathbb{R}^n$, using semidefinite programming to improve the upper bounds on this quantity. Improvements are obtained in dimensions $24 \leq n \leq 136$. In particular, we show that the maximum number of equiangular lines in $\mathbb{R}^n$ is $276$ for all $24 \leq n \leq 41$ and is 344 for $n=43.$ This provides a partial resolution of the conjecture set forth by Lemmens and Seidel (1973).
Nonexistence of tight spherical design of harmonic index 4
Takayuki Okuda,Wei-Hsuan Yu
Mathematics , 2014,
Abstract: We give a new upper bound of the cardinality of a set of equiangular lines in $\R^n$ with a fixed angle $\theta$ for each $(n,\theta)$ satisfying certain conditions. Our techniques are based on semi-definite programming methods for spherical codes introduced by Bachoc--Vallentin [J.Amer.Math.Soc.2008]. As a corollary to our bound, we show the nonexistence of spherical tight designs of harmonic index 4 on $S^{n-1}$ with $n \geq 3$.
New bounds for spherical two-distance sets
Alexander Barg,Wei-Hsuan Yu
Mathematics , 2012,
Abstract: A spherical two-distance set is a finite collection of unit vectors in $\reals^n$ such that the set of distances between any two distinct vectors has cardinality two. We use the semidefinite programming method to compute improved estimates of the maximum size of spherical two-distance sets. Exact answers are found for dimensions $n=23$ and $40\le n\le 93\; (n\ne 46,78)$ where previous results gave divergent bounds.
Echinohalimane A, a Bioactive Halimane-Type Diterpenoid from a Formosan Gorgonian Echinomuricea sp. (Plexauridae)
Hsu-Ming Chung,Li-Chung Hu,Wei-Hsuan Yen,Jui-Hsin Su,Mei-Chin Lu,Tsong-Long Hwang,Wei-Hsien Wang,Ping-Jyun Sung
Marine Drugs , 2012, DOI: 10.3390/md10102246
Abstract: A new halimane-type diterpenoid, echinohalimane A ( 1), was isolated from a gorgonian, identified as Echinomuricea sp. The structure of 1 was determined by spectroscopic methods and this compound was found to exhibit cytotoxicity toward various tumor cells and display an inhibitory effect on the release of elastase by human neutrophils. Echinohalimane A ( 1) is the first halimane analogue from the marine organisms belonging to phylum Cnidaria.
華文地區數位出版產業發展之探討:以臺灣和大陸為例 The Development of Digital Publishing Industry in Chinese Language Areas—Taiwan and Mainland China
Hsueh-Hua Chen,Wei-Hsuan Lin
Journal of Educational Media & Library Sciences , 2008,
Abstract: 華文風潮興起,數位出版的特性有助於相關文化傳播。本研究採用文獻分析與深度訪談的方式,探討華文的主要地區-臺灣與中國大陸數位出版產業情況,進而從四個構面(技術、授權模式、內容、經營模式)切入,分析比較臺灣與中國大陸在發展數位出版產業的優勢與劣勢。 Learning Chinese has become a trend. The characteristics of digital publishing are contributive to global dissemination of related culture. In this research, the literature analysis and in-depth interview methods are used to study the current status of digital publishing industry in main Chinese areas-Taiwan and Mainland China. Moreover, we analyze and compare the strengths and weaknesses of digital publishing industry in Taiwan and Mainland China based on four facets (technology, licensing models, contents, and business models).
Facets of the Digital Publishing Industry
Hsueh-Hua Chen,Wei-Hsuan Lin
Journal of Library and Information Science Research , 2008,
Abstract: With the arrival of the digital era, digital publishing has become a global trend for the publishing industry. Considering this, it is important to fully understand issues regarding the entire digital publishing industrial chain. Literature analysis and in-depth interviews were used to study the development of and the following four facets of the digital publishing industry: (1) technology, standards, and digital rights finding materials and the quality of bibliographic records are highly correlated. It is necessary to enhance the quality of bibliographic records before implementing FRBR frame publishing industrial chain were also investigated.
Finite two-distance tight frames
Alexander Barg,Alexei Glazyrin,Kasso Okoudjou,Wei-Hsuan Yu
Mathematics , 2014,
Abstract: A finite collection of unit vectors $S \subset \mathbb{R}^n$ is called a spherical two-distance set if there are two numbers $a$ and $b$ such that the inner products of distinct vectors from $S$ are either $a$ or $b$. We prove that if $a\ne -b,$ then a two-distance set that forms a tight frame for $\mathbb{R}^n$ is a spherical embedding of a strongly regular graph, and every strongly regular graph gives rise to two-distance tight frames through standard spherical embeddings. Together with an earlier work by S. Waldron on the equiangular case ({\em Linear Alg. Appl.}, vol. 41, pp. 2228-2242, 2009) this completely characterizes two-distance tight frames. As an intermediate result, we obtain a classification of all two-distance 2-designs.\
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