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路易斯安那大学拉法耶艺术博物馆美国路易斯安那州拉法耶

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世界建筑导报 2024年第1期39卷 70-73页

作者：无 Timothy Hurlsey(摄影) Philip gould(摄影) EDR建筑事务所乔恩·艾默生建筑事务所不详

新博物馆紧邻1967年竣工的大学艺术博物馆,是其有益扩充,并界定出新的雕塑公园和广场。新馆功能包括门厅和公共空间,永久收藏品展厅和临时藏品展厅,行政办公以及艺术维护和档案用房。新博物馆像一个紧密包裹的体块,结构形式与老建筑的... 详细信息

新博物馆紧邻1967年竣工的大学艺术博物馆,是其有益扩充,并界定出新的雕塑公园和广场。新馆功能包括门厅和公共空间,永久收藏品展厅和临时藏品展厅,行政办公以及艺术维护和档案用房。新博物馆像一个紧密包裹的体块,结构形式与老建筑的相呼应,以便在全新的场地中获得清晰的组织架构。盘旋于参观者进入博物馆时头上的玻璃立面,将现有的优美的海斯小镇建筑物和雕塑公园周围的橡树反射出来。随着位置和一天中时间的不同,玻璃面在全反射和透明之间变幻。夜晚,玻璃立面被穿孔金属天花板上的筒灯染成光亮的深蓝色,使新博物馆与其老邻居形成鲜明对比。

关键词：艺术博物馆行政办公雕塑公园路易斯安那州深蓝色公共空间全反射组织架构

Masses for free-floating planets and dwarf planets

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Research in Astronomy and Astrophysics 2021年第6期21卷 207-221页

作者： Andrew gould Wei-Cheng Zang Shude Mao Su-Bo Dong Max-Planck-Institute for Astronomy Konigstuhl 17D-69117 HeidelbergGermany Department of Astronomy Ohio State University140 W.18th Ave.ColumbusOH 43210USA Department of Astronomy Tsinghua UniversityBeijing 100084China National Astronomical Observatories Chinese Academy of SciencesBeijing 100101China Kavli Institute for Astronomy and Astrophysics Peking UniversityBeijing 100871China

The mass and distance functions of free-floating planets(FFPs) would give major insights into the formation and evolution of planetary systems, including any systematic differences between those in the disk and bulge. We show that the only way to measure the mass and distance of individual FFPs over a broad range of distances is to observe them simultaneously from two observatories separated by D ~ O(0.01 au)(to measure their microlens parallax πE) and to focus on the finite-source point-lens(FSPL) events(which yield the Einstein radius θE). By combining the existing KMTNet 3-telescope observatory with a 0.3 m 4 deg2 telescope at L2, of order 130 such measurements could be made over four years, down to about M ~ 6 M⊕for bulge FFPs and M ~ 0.7 M⊕for disk FFPs. The same experiment would return masses and distances for many bound planetary systems. A more ambitious experiment, with two 0.5 m satellites(one at L2 and the other nearer Earth) and similar camera layout but in the infrared, could measure masses and distances of sub-Moon mass objects, and thereby probe(and distinguish between) genuine sub-Moon FFPs and sub-Moon "dwarf planets" in exo-Kuiper Belts and exo-Oort Clouds.

关键词： gravitational lensing:micro

Powers of the Catalan Generating Function and Lagrange's 1770 Trinomial Equation Series

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Journal of Mathematical Research with Applications 2019年第6期39卷 603-606页

作者： H.W.gould Department of Mathematics West Virginia University

The Catalan numbers 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862,... are given by C（n）=■for n ≥ 0. They are named for Eugene Catalan who studied them as early as *** were also found by Leonhard Euler（1758）, Nicholas von Fuss（1795）, and Andreas von Segner（1758）. The Catalan numbers have the binomial generating function ■It is known that powers of the generating function C（z） are given by ■The above formula is not as widely known as it should be. We observe that it is an immediate, simple consequence of expansions first studied by J. L. Lagrange. Such series were used later by Heinrich August Rothe in 1793 to find remarkable generalizations of the Vandermonde convolution. For the equation x-3x + 1 = 0, the numbers ■analogous to Catalan numbers occur of course. Here we discuss the history of these expansions. and formulas due to L. C. Hsu and the author.

关键词： Catalan numbers Vandermonde convolution Lagrange and Bürmann series Rothe’s formula(or general identity of Rothe-Hagen)

Characterization of (c)-Riordan Arrays, Gegenbauer-Humbert-Type Polynomial Sequences, and (c)-Bell Polynomials

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Journal of Mathematical Research with Applications 2013年第5期33卷 505-527页

作者： Henry W. gould Tianxiao HE Department of Mathematics West Virginia University Department of Mathematics Illinois Wesleyan University

Here presented are the definitions of(c)-Riordan arrays and(c)-Bell polynomials which are extensions of the classical Riordan arrays and Bell *** characterization of(c)-Riordan arrays by means of the A-and Z-sequences is given,which corresponds to a horizontal construction of a(c)-Riordan array rather than its definition approach through column generating *** exists a one-to-one correspondence between GegenbauerHumbert-type polynomial sequences and the set of(c)-Riordan arrays,which generates the sequence characterization of Gegenbauer-Humbert-type polynomial *** sequence characterization is applied to construct readily a(c)-Riordan *** addition,subgrouping of(c)-Riordan arrays by using the characterizations is ***(c)-Bell polynomials and its identities by means of convolution families are also ***,the characterization of(c)-Riordan arrays in terms of the convolution families and(c)-Bell polynomials is presented.

关键词： Riordan arrays (c)-Riordan arrays A-sequence Z-sequence (c)-Bell polynomials (c)-hitting-time subgroup.

Annihilation Coefficients, Binomial Expansions and q-Analogs

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Journal of Mathematical Research and Exposition 2010年第2期30卷 191-204页

作者： H.W.gould J.QUAINTANCE Department of Mathematics West Virginia UniversityMorgantownW.Va.26506U.S.A.

Let {An}∞n=0 be an arbitary sequence of natural numbers. We say A（n,k;A） are the Convolution Annihilation Coefficients for {An}n∞=0 if and only if n∑κ=0A（n,k;A）（x-Aκ）n-k=xn. （0.1） Similary, we define B（n,k;A） to be the Dot Product Annihilation Coefficients for {An}n∞=0 if and only if n∑κ=0A（n,k;A）（x-Aκ）n-k=xn. （0.2） The main result of this paper is an explicit formula for B（n,k;A）, which depends on both k and {An}∞n=0. This paper also discusses binomial and q-analogs of Equations （0.1） and （0.2）.

关键词： Annihilation coefficient Binomial expansion stirling number of the first kind stirling number of the second kind vadermonde convolution.

Ethnic difference of Helicobacter pylori gastritis: Korean and Japanese gastritis is characterized by male- and antrum-predominant acute foveolitis in comparison with American gastritis

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World Journal of Gastroenterology 2005年第1期11卷 94-98页

作者： Inchul Lee Hojung Lee Mijung Kim Manabu Fukumoto Shinji Sawada Shriram Jakate Victor E.gould Department of Pathology

AIM: To investigate the clinicopathological factors underlying the ethnic differences of Helicobacter pylori gastritis and ***: We analyzed clinicopathological parameters of gastric biopsies having H pylori infection that were randomly selected from different ethnic populations including 147 Americans, 149 Japanese, and 181 ***: Males were predominant in Japanese and Korean populations (77.9 and 67.4% respectively) in comparison with Americans (48.3%) (P＜0.001). H pylori gastritis in Koreans and Japanese was characterized by the predominant antral involvement. In the antrum,neutrophilic infiltration into the proliferative zone of pit, i,*** foveolitis, was more frequent in Koreans (82%) than in Japanese (71%) (P＜0.05) and Americans (61%) (P＜0.001).Interstitial neutrophilic infiltration, intestinal metaplasia and atrophy were also frequent in Koreans and Japanese. In the body, the prevalence of acute foveolitis was not significantly different among the populations while chronic interstitial inflammation and lymphoid follicles were more pronounced in the body of Americans than in the body of others (P＜0.01).CONCLUSION: The male-, and antrum-predominant Hpylori gastritis in Koreans and Japanese is compatible with the pattern of sex and topographical distribution of gastric cancer incidence. Our data suggest that persistent acute foveolitis at the proliferative zone is a crucial step in the gastric carcinogenesis.

关键词： Helicobacter pylori in fection Gastritis Ethnic groups

湿润及干旱的北方带、温带、热带森林斑块中美洲山杨木(Populus tremuloides Michx.)的腐烂分解

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AMBIO－人类环境杂志 2008年第7期37卷 518-527页

作者： Grizelle González William a.gould Andrew T．Hudak Teresa Nettleton Hollingsworth 刘琪（译）王大伟（译）美国农业部USDA林业局FS国际热带森林研究所ⅡTF 美国农业部林业局落基山脉研究站莫斯科林业科学实验室中国

本研究对山杨木的腐烂分解进行了实验:1)量化了湿润及干旱的北方带(美国阿拉斯加和明尼苏达)、温带(美国华盛顿和爱达荷)热带(波多黎各)森林类型中美洲山杨木桩(Populustremuloides)的总量残留百分比、分解常数和性能强度;2)因为斑块大... 详细信息

本研究对山杨木的腐烂分解进行了实验:1)量化了湿润及干旱的北方带(美国阿拉斯加和明尼苏达)、温带(美国华盛顿和爱达荷)热带(波多黎各)森林类型中美洲山杨木桩(Populustremuloides)的总量残留百分比、分解常数和性能强度;2)因为斑块大小、森林年龄(和/或结构)以及大中等尺度上的气候均与木材的分解相关,测定了斑块化对木材分解速率的影响。斑块大小代表了某一气候地区的景观变化程度。总的说来,小斑块的平均面积为10～14hm^2,中等斑块的为33～60hm^2,大斑块的为100～240hm^2。结果发现:1)热带山杨木桩分解最快,温带最慢;2)在北方带和温带斑块中,干旱林的总量残留百分比显著高于潮湿林的,而在热带斑块中则相反;3)在北方带、温带干旱和热带潮湿林中,森林斑块大小不影响杨木桩的总量残留百分比;4)北方带、温带和热带斑块的边缘和内部,杨木分解没有显著差异。本研究结论如下:1)在广阔的气候梯度下,水汽条件是木材分解的重要控制因素,而且二者之间关系可能是非线性的;2)特殊有机体的存在(白蚁)可能会比单凭气候因子预测的更明显地改变木材分解速率。对木材分解的生物防治可能更是热带地区木材分解的重要预测指标,而非生物限制似乎是寒冷森林斑块木材分解的重要决定因素。

关键词：斑块大小热带森林腐烂分解温带北方干旱杨木湿润

类Vandermonde恒等式的新组合恒等式:第一部分

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中国科学：数学 2015年第9期45卷 1505-1512页

作者： gould Henry Wadsworth Department of Mathematics West Virginia University

Vandermonde卷积恒等式为n∑k=0(xk)(yn-k)=(x+yn),其中x和y为复数,n为非负整数.本文研究如下形式n∑k=0(x k)(y k)=(x+yn)+R(x,y,n)与其他相关扩充的关系.

关键词：组合恒等式 Vandermonde卷积代数恒等式

Characterization of Polynomial Systems Satisfying Generalized Convolution Differential-Difference Equations

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数学研究与评论 1989年第2期9卷 159-172页

作者： H.W.gould W.Y.Kerr Department of Mathematics’ West Virginia Vniversity

I. Introduction. The present paper has been motivated by the desire to find all polynomial solutions of the convolution type differential -difference equation （1.1） Dxgn（x）=sum from i=1 to n-1 (gi（x）gn-i（x）,n≥2,) where g1（x） is assumed to be a constant. This problem arose in work by one of the authors （Kerr） with a differential equation arising in a coal research project

关键词： Characterization of Polynomial Systems Satisfying Generalized Convolution Differential-Difference Equations