The modernity of Dedekind’s anticipations contained in What are numbers and what are they good for?

Archive for History of Exact Sciences - We show that Dedekind, in his proof of the principle of definition by mathematical recursion, used implicitly both the concept of an inductive cone from an...     

云南老厂矿区煤层气地质条件

在分析矿区地质条件、煤岩及煤储层特征的基础上,探讨研究区煤层气地质条件.结果表明:老厂矿区龙潭组和长兴组含煤性好,煤层厚度大并且分布稳定,煤质以无烟煤为主,生烃量大,生烃能力强;煤岩组分稳定,镜质组含量高,对甲烷吸附性强;煤层孔隙度较低,渗透率中等;解吸率和储层压力偏高,中等含气性,含气量在6.02 ～ 18.95 m3/t.研究区构造类型和水文地质条件相对简单,围岩封盖及地下水封堵作用强,利于煤层气的富集成藏.综合分析认为,老厂矿区属中型富甲烷煤层气目标区,煤层气成藏地质条件优越,煤层气资源丰富,开采条件优越.     

Long-term increases in clutch size in common snapping turtles (Chelydra serpentina) and diamondback terrapins (Malaclemys terrapin)

Clutch size (CS) is a well-studied life history characteristic, and optimal egg size theory predicts that CS should correlate positively with reproductive investment. Turtles are good subjects for studies of reproductive strategies because few turtle species exhibit parental care; therefore quantifying their short-term reproductive investment is mostly limited to measuring egg size and number. Clutch size is usually reported as an average value for each turtle population, and where CS variation is noted, it is usually attributable to variation in adult body size. In two long-term studies of ecologically dissimilar species we detected a dramatic increase in CS in a common snapping turtle (Chelydra serpentina) population and in a diamondback terrapin (Malaclemys terrapin) population. It is unknown whether these changes are due to either variation in adult body size or resource availability; but the temporal patterns we observed have apparently never been reported previously. These trends remain unexplained and should be explored further.     

两种改进的非线性方程组四阶迭代求解法

文章基于两点Gauss型求积公式,分别结合梯形积分公式和Adomian分解法构造了两种牛顿型迭代格式.借助泰勒展开式,文章证明了这两种迭代格式都具有四阶收敛,并通过数值实验例子验证这两种迭代格式的有效性.     

大尺寸工程模型试验中的相似材料配比试验研究

大型物理模型试验是研究复杂工程问题的重要方法，如何快速、准确地确定相似材料配比是试验中至关重要的一环.为降低试验成本、简化试验步骤、充分调用原料性能，采用河砂、水泥和石膏这三种最普通的原料，以骨胶比(河砂与水泥石膏的质量比)和水膏比(水泥与石膏的质量比)为变量，进行了45组对比试验，对相似材料的物理及动、静力学参数进行了研究.获得了以河砂、水泥和石膏为原料配制的相似材料各物理量的变化区间；探讨了骨胶比和水膏比对相似材料各物理量的控制作用，并对比了其敏感性；基于多元线性回归分析建立了各因素与物理量间的定量关系，得到的拟合公式能较好地描述相似材料的性质.     

heory, controls parameter and application of the packed-bed electroosmotic pump

Theory and controls parameters affecting the output pressure and flow rate of the packed-bed electroosmotic pump (p-EOP), including zeta potential ζ, electric intensity E, length of the column L, cross-section area of the column A, dielectric constant ε and viscosity coefficient η of the liquid being pumped, are discussed concisely. And also, the fabrication and application of the p-EOP are introduced.     

两类插值与两个反例

本文探讨了在给定的一组实验数据下，用Rm，n(x)型有理函数插值与连分式型有理函数插值的两个基本方法以及二者互不相容的两个反例．