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1.Catalan Numbers:a Geometric Model
卡塔兰的一个几何模型(英文)收藏指正
2.The Geometry Representation of Quaternion in Euclidean Three-space
四元在三维空间的几何表示收藏指正
3.The number concentration of the activated cloud condensation nuclei (CCN) is described with the hypergeometric function.
云中凝结核CCN的浓度采用超几何表示;收藏指正
4.He constructed one geometric model,in which some infinite series with Catalan numbers as coefficients were contained.
指出了明安图是世界上第一位卡塔兰的发明人,他构建了一个几何模型,在这个几何模型中包含了用卡塔兰作为系的无穷级.收藏指正
5.Study on the reading method for the test of geometric precision of machine tool
机床几何精度检验中读方法的研究收藏指正
6.This paper extends the T route counting of two-dimensional perpendicular space to the T route counting of n dimensional perpendicular(oblique) space(k≤n), and gives some concree formulas of counting when n=3,k=2,3; and gives some new geometry (combination) explanation of Catalan number.
本文将二维直交空间中的 T路计问题推广到 n维直 (斜 )交空间中 k( n)向 T路计问题 ,并给出 n=3,k=2 ,3时的一些具体计公式 ,同时给出了 Catalan的几个新的几何 (组合 )解释收藏指正
7.The test results indicated that: crack similitude of reinforced concrete simple beams is not equal to model scale λ under the working load; when the amount and surface shape of reinforcing bar are same, the similitude of crack width, crack amount and crack spacing of reinforced concrete simple beams of different scales are all nearly equal to the square root of model scale√λ; when the amount and surface shape of reinforcing bar are different, the similitude of crack amount and crack spacing are still nearly equal to√λ, whereas the crack width is not only approximately proportional to√λ, but the influence of the amount and surface shape of reinforcing bar on crack width should be considered also at the same time.
试验结果表明:在使用荷载下,钢筋混凝土简支梁的裂缝相似率并不等于几何相似比λ;当钢筋根及形式相同时,不同模型比尺下的钢筋混凝土简支梁的裂缝宽度、裂缝条及裂缝间距的相似率,均约等于模型几何相似比的平方根√λ;当钢筋根及形式不同时,裂缝条及裂缝间距的相似率仍然约等于√λ,而裂缝宽度的相似率近似与√λ成正比,但应同时考虑钢筋根与钢筋表面形状对裂缝宽度相似率的影响。收藏指正
8.Flow separation was observed on the expansion ramp at Mach 2.5.To improve off-design performance of single expansion ramp nozzles,variable geometry nozzle configuration should be adopted.
在马赫2.5时,喷管膨胀面气流已发生明显分离,喷管性能急剧恶化。 为了提高低马赫条件下单膨胀斜面喷管的性能,采用变几何结构(调节下斜板角度)或基于二次流控制的单膨胀斜面喷管是必须的。收藏指正
9.0.62±0.42(geometric mean)and 0.04±0.68(arithmet— ic mean)by regression of offspring on dam in sire; 0.77 by half—sib corr— elation in unit.
用公羊内女母回归法为0.62±0.42(几何),0.04±0.68(算术均):用单元内半同胞相关法为0.77。收藏指正
10.Under the condition of high Velocity flow ( v ≥ 50 m/s) on hydraulic structures the aerated flow may become superhigh speed flow which Mach number M equals or is more than 1 due to lower sound velocity in it. this paper presents possible fundamental equations of superhigh speed flow. On the base of analysis of these equations similarity criteria for the flow are obtained.
本文分析了高速掺气水流,在流速大于50m/s情况下,容易形成马赫等于1和大于1的水流,为研究其特性,导出了其可能的基本方程,在此基础上证明,为了保持原、模型相似,除重力相似准则佛劳德同量外,还必须马赫同量,由此可以决定模型上的大气压,掺气量和模型的几何比尺。收藏指正
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