查询词典 algebraic fraction

Through analyzing the concept of the least common multiple of fraction,we gave the formula computation of the least common multiple of fraction,and made the concept of the least common multiple extend to real numbers.

通过分析分数的最小公倍数定义，引出了分数最小公倍数的计算公式，使得最小公倍数的概念扩充到实数范围。

Comparison the in vivo activity of 90％EtOH fraction and compound 21 with estradiol, indicated the 90％EtOH fraction behaved the stronger activity on total mineral content, total density, trabecular mineral content, trabecular density and the anti-twist strength of the proximal tibia in OVX rat than estradiol, but compound 21 displayed the weaker activity on total mineral content, total mineral density, trabecular mineral density, cortical mineral content, cortical mineral density, cortical thickness and the anti-twist strength of the proximal tibia than estradiol.

通过90％乙醇部位及化合物21都与阳性对照药雌二醇的纵向比较后，在大鼠OVX模型中，90％乙醇部位高剂量组在提高全骨的骨矿含量和骨密度、松质骨的骨矿含量和骨密度及骨的抗扭力方面，作用强于阳性对照组雌激素类化合物，化合物21在小鼠OVX模型中，抑制了全骨的骨矿含量、骨密度和全骨断面面积的降低，松质骨骨密度的降低，皮质骨的外膜周长的增长，皮质骨骨矿含量量、皮质骨厚度和皮质骨密度的下降及抗扭力的减弱。

The decay of effect of a self-equilibrated system of forces in chain model is decided by the convergence of operator continued fraction, so the reasonable part of Saint-Venant's principle is described as the convergence of operator continued fraction.

平衡力系的影响在链式模型上由近及远的衰减受算子连分式的收敛性的控制，所以圣文南原理的合理成分体现为算子连分式的收敛性。

A precise background theory of computational mechanics is formed. Saint-Venant's principle is discussed in chain model by means of this precise theory. The classical continued fraction is developed into operator continued fraction to be the constrictive formulation of the chain model.

用泛函分析的双空间理论为计算力学构造了一个严密的背景理论，以此在链式模型上讨论圣文南原理，同时将传统的连分数扩展为算子连分式作为链式模型的本征关系式。

The result verifies that the discrete model with power series direct discretization method requires 100 memory length to obtain the better approximation, while one with continued fraction direct discretization method requires only 10 order. Thus the continued fraction direct discretization method is preferable to digital realization of fractional order control algorithms in engineering applications.

研究结果表明，幂级数直接离散法得到近似离散模型需要记忆长度为100方可获得较好的近似，而连分式直接离散法近似离散模型为10阶时就可以获得较好的近似，因此连分式直接离散法比较适合于分数阶控制算法的实际工程应用。

The work in this thesis is based on continued fraction theory. Combining continued fractions with polynomial functions, we construct a new osculatory continued fraction interpolation—osculatory rational Hermite-like interpolation. Its representation is simpler than that of Hermite polynomial interpolation and its computation is concise since the continued fractions coefficients can be worked out by using Viscovatov algorithm.

与之相关的理论成果不断地推陈出新，本文就是在连分式理论的基础上做了相应的工作，将多项式和连分式相结合，构造了一种新的切触有理插值——类Hermite切触有理插值，新的插值方法在表示形式上比传统的切触有理插值更直观，并且通过引入Viscovatov算法，切触插值连分式的系数求解得以简化。

The gasification efficiency increased and the molar fraction of H2 decreased with an increase in the reaction temperature. The decomposition of PVA was more complete at higher temperatures. At 24 MPa, 500℃ and 120 s, the TOC remove rate, the carbon gasification rate and the hydrogen gasification rate were up to 71.46%, 67.97% and 157.24% respectively. A change in the residence time had no significant effect on the molar fraction of gas production but an increase in the residence time could enhance the gasification efficiency of PVA. It was found that the intermediates were mainly alkane, cycloparaffin, aromatic hydrocarbons, and low-molecular weight acids. It was supposed that PVA was degraded into small molecules through breaking of C-C bonds. Parts of the molecules were converted into H2, CO, CH4 and CO2 while some was converted into aromatic hydrocarbons.

过程探索发现：反应温度的升高能提高PVA气化效率，但气体产物中H2的含量随反应温度的升高有所下降；随着反应温度的升高，PVA分解趋于彻底，在压力24MPa、温度500℃、停留时间120s的条件下，TOC去除率、有机碳气化率和氢气化率分别达到71.46%，67.97%和157.24%；停留时间的变化对气体产物含量没有明显的影响，但延长停留时间能提高PVA的气化效率；PVA气化反应中间产物主要为链状烷烃、环烷烃、芳香烃及小分子酸，根据中间产物出现的顺序推测PVA的降解为由C-C键断裂形成小分子物质，这些小分子物质一部分转化为H2，CO，CH4和CO2，一部分形成难降解的芳香族化合物。

Decimal divided by fraction, When there's a multiple relationship between decimal and fraction, we can use reduce fractions.

小数除以分数，当小数与分数的分子有倍数关系时，可用直接约分法。

Climatic gradients were based on data sets from 841 meteorological stations throughout China. Definitions for floristic distributional patterns were based upon the work of Prof. Z. Y. Wu. Most of these floristic distributional patterns were strongly correlated with the geographic gradients in climate, except for cosmopolitan, cultivated and invasive genera. Tropical genera form a large fraction of the total genera (ranging from 0.84% to 94.38% in the regional floras) with the highest proportion in southern Yunnan and Hainan Island. Tropical genera occur predominantly in southern China of 0° N latitude and decreased with increasing latitude, as would be expected. Interestingly, the disjunct Tropical Asia and Tropical America distribution were not restricted to southern latitudes. Temperate genera account for 5.1% to 98.83% of the total genera in regional floras with the highest proportion in the province of Xinjiang. Most of these genera followed geographic gradients in climate as expected (temperate genera conspicuously dominate the landscape at higher latitudes), except the East Asian and North American disjunct distribution, Eastern Asian distribution and Chinese endemic distribution. Generally, most plant genera demonstrated some correlation with climatic and geographic gradients. The most important gradients were those of annual air temperature and precipitation. A small fraction did not demonstrate significantly particular pattern:"Cosmopolitan","East Asian and North American disjunct","Eastern Asian" and "Chinese endemic" distributions. The North Temperate distribution had the highest correlation with mean annual air temperature and precipitation.

结果如下：(1)除世界分布、栽培和入侵成分外，大部分中国种子植物属的地理成分的分布与地理相关密切；(2)热带分布属（泛热带分布、热带亚洲至热带美洲间断分布、旧世界热带分布、热带亚洲至热带大洋洲分布、热带亚洲至热带非洲分布及热带亚洲分布合计）占各地方植物区系的0.84%到94.38%，其最低值出现在中国西北部的新疆和青海地区，最高值出现在中国云南南部和海南；(3)热带分布属在＜北纬30°的地区占优势，除热带亚洲至热带美洲间断分布外，其它热带成分随纬度增加迅速减少；(4)温带分布属（北温带分布、东亚和北美间断分布、旧世界温带分布、温带亚洲分布、地中海区、西亚到中亚分布、中亚分布和东亚分布合计）占各地方植物区系的5.1%至98.83%，其最高值出现在中国西北部的新疆地区，最低值出现在中国云南南部和海南；(5)除东亚和北美间断分布、东亚分布和中国特有分布外，其它温带成分随纬度增加迅速增加；(6)在温带成分中，东亚和北美间断分布及东亚分布属主要出现在中国亚热带到暖温带地区，北温带分布、旧世界温带分布和温带亚洲分布属在中国北部占优势，而地中海区、西亚到中亚分布和中亚分布属则在中国西北部占优势；(7)除世界分布、东亚和北美间断分布、东亚分布和中国特有分布外，所有其他成分都显示了与气候因素密切相关，其中，北温带分布属与年均温和年降雨量最为密切相关。

The infarct size fraction were determined by using of 99mTC-MIBI myocardium tomography scanning, and the left ventricular ejective fraction measured by two-dimensional echo cardiography.

本文旨在探讨对于同样梗死相关血管再灌流患者，再通时间早晚对于梗死面积和心功能影响以及两者之间的关系。l资料与方法选择我院CCU病房，于1995年1月至1996年6月期间，进行

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。