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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

Kai Lai Chung (1917-2009) in Memoriam

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Journal of Mathematical Research and Exposition 2009年第6期29卷 952-953页

作者： henry w.gould Department of Mathematics West Virginia University

The passing of Kai Lai Chung （钟开来） on 1 June 2009 at the venerable age of 91 reminds me forcibly of the importance of Chung＇s w.rk in my ow. life.

关键词：钟开莱职业数学家个人

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 w.dsw.rth 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

Pow.rs of the Catalan Generating Function and Lagrange's 1770 Trinomial Equation Series

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Journal of Mathematical Research w.th 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 w.o studied them as early as *** w.re 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 know. that pow.rs of the generating function C（z） are given by ■The above formula is not as w.dely know. as it should be. w. observe that it is an immediate, simple consequence of expansions first studied by J. L. Lagrange. Such series w.re 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 w. 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 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’ w.st 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,) w.ere g1（x） is assumed to be a constant. This problem arose in w.rk by one of the authors （Kerr） w.th a differential equation arising in a coal research project

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

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. w. 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, w. 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）, w.ich 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.

Masses for free-floating planets and dw.rf planets

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

作者： Andrew.gould w.i-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) w.uld give major insights into the formation and evolution of planetary systems, including any systematic differences betw.en those in the disk and bulge. w. show.that the only w.y to measure the mass and distance of individual FFPs over a broad range of distances is to observe them simultaneously from tw. 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(w.ich yield the Einstein radius θE). By combining the existing KMTNet 3-telescope observatory w.th a 0.3 m 4 deg2 telescope at L2, of order 130 such measurements could be made over four years, dow. to about M ~ 6 M⊕for bulge FFPs and M ~ 0.7 M⊕for disk FFPs. The same experiment w.uld return masses and distances for many bound planetary systems. A more ambitious experiment, w.th tw. 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 betw.en) genuine sub-Moon FFPs and sub-Moon "dw.rf planets" in exo-Kuiper Belts and exo-Oort Clouds.

关键词： gravitational lensing:micro

New.Inverse Series Relations for Finite and Infinite Series w.th Applications

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数学研究与评论 1984年第2期 119-130页

作者： H.w.gould w.st Virginia University USA

Some new.series inversion formulas of the general form F（n）=sum form k=0 to r(Ak,mf（n-mk）) if and only if f（n）=sum form k=0 to r(Bk,nF（ro-mk）) valid for either r=[n/m]or r=∞ are presented. These relations generalize many of those given by the author in a long series of preceding papers. An interesting example is given by Ak,n=（-y）kAk（p-λn,t（1+λm）） and Bk,n=ykAk（p-λn,（1-t）（1+λm）） w.ere Ak（a,b）=a/（a+bk） in terms of binomial coefficients. Here p,t,y and λ are arbitrary complex numbers. A corresponding Abel coefficient case occurs w.ich uses numbers of the form a（a+bi）（i-1）/i!. An application to special functions studied by Singhal and Kumari is given, and it is also show. that sum form k=0 to ∞（zkAk（a+ck,b））=xa（x-b（x-1））/（x-（b+c）（x-1））, w.ere z=（x-1）x-b-c, w.th a corresponding case for the Abel coefficients sum from k=0 to ∞（zkBk（a+ck,b））=xo（1-b logx）/（1-（b+c）log x）,w.ere z=（log x）x-b-c From these expansions w. then have easily the new.convolution formula for Rothe coeffici

关键词： New.Inverse Series Relations for Finite and Infinite Series w.th Applications

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低成本去除电弧炉废气中二恶英的方案

钢铁 2004年第1期39卷 63-66页

作者： J.Lehner A.Friedacher L.gould w.Fingerhut 孙运涌林茨环境工程技术办公室雷欧本矿冶大学奥钢联工程技术公司奥钢联北京联络处北京100004

钢铁工业承受着不断降低工艺废气中所含二恶英和其他有害排放物的巨大压力。在 2 0世纪 90年代初 ,奥钢联开始研究用于烧结厂和电弧炉的新型废气净化系统并显著提高了净化效率。对新方案及其实际应用效果进行介绍。

关键词：电弧炉炼钢废气二恶英环保净化烧结