查询词典 algebraic fraction

By using properties of scalar matrices over semirings,we generalize algebraic properties for the automorphisms of matrix algebras over commutative rings and obtain some algebraic properties for the automorphisms of matrix algebras over commutative semirings.

在这一章中，我们首先利用半环上常量矩阵的性质把环上矩阵代数的性质拓广到半环上，获得了交换半环上矩阵代数自同构的一些代数性质，接下来采用积和式的方法证明任意非负交换半环上n阶矩阵代数Tn的自同构的n次幂必为内自同构。

Liber Abaci emphasizes summed-up algorithm, but does not pay attention to the form of propositions derived, and it mainly reflects the tendency of practical algorithms, such as principal method from India and the algebraic knowledge from the Arab. In Liber Abaci it is found some problems similar to ancient Chinese mathematics like pursuit problems, drainage problems, business problems, hundred fowls problems, remainder problems, indeterminate problems, as well as some Algorithm—fraction addition and subtraction,the compound rule of three, the method Elchataym and the method of Excess and Deficit, and so on.

在系统梳理《计算之书》数学内容过程中，笔者发现《计算之书》中存有与中国古代数学中相似的实用算题，如：追及问题、排水问题、经商问题、百鸡问题、剩余问题、不定问题等，以及和中算一致的算法：分数算法、多率法和重今有术、第二类"Elchataym算法"和盈不足术等。

Liber Abaci emphasizes summed-up algorithm, but does not pay attention to the form of propositions derived, and it mainly reflects the tendency of practical algorithms, such as principal method from India and the algebraic knowledge from the Arab. In Liber Abaci it is found some problems similar to ancient Chinese mathematics like pursuit problems, drainage problems, business problems, hundred fowls problems, remainder problems, indeterminate problems, as well as some Algorithm—fraction addition and subtraction,the compound rule of three, the method Elchataym and the method of Excess and Deficit, and so on.

在系统梳理《计算之书》数学内容过程中，笔者发现《计算之书》中存有与中国古代数学中相似的实用算题，如：追及问题、排水问题、经商问题、百鸡问题、剩余问题、不定问题等，以及和中算一致的算法：分数算法、多率法和重今有术、第二类&Elchataym算法&和盈不足术等。

The results show that: the degree of deformation and yield-region will decrease as the fraction coefficients increasing; the influence of fraction coefficient f1 between clip-pieces and anchor plate is more remarkable than f2 between anchor plate and under board, the influence of f2 can be negligible.

有限元分析结果表明：随着摩擦系数的增大，锚环的变形和塑性屈服区域面积将逐渐减小；夹片与锚环之间摩擦系数f_1对锚具特性的影响要比垫板与锚环之间摩擦系数f_2所产生的影响要显著得多，后者的影响几乎可以忽略。

The measured voltage andits corresponding ceramic mud's argil content relationship was analyzed, whichwas nonlinear for ceramic mud of mass fraction between 0％～40％, and linear for ceramic mud of mass fraction between 40％～60％.

记录、分析这组电压值和陶瓷泥浆质量分数的关系后知道：含陶土量为0％～40％之间的数据曲线是非线性的，在陶土含量为40％～60％之间的数据曲线是线性的。

After enriched by flash, benzoic acid-containing fraction was obtained below 210 ℃ and benzyl benzoate -fluorenone-containing fraction was between 220 and 260 ℃,then these fractions were separated by vacuum distillation respectively.

废料通过闪蒸，在210℃以下得到了富集苯甲酸馏分，在220—260℃之间得到了富集苯甲酸苄酯和芴酮馏分；之后对各馏分进行高真空减压精馏，得到了苯甲酸、苯甲酸苄酯和芴酮等产品，纯度分别可达95%，91%和92%。

The results showed that the lesion of X-rays oncells displayed gradually attenuation with depth (or cellsurvival fraction displayed gradually increase with depth)while the lesion of heavy ions on cells followed Bragg curve(or cell survival fraction was inverse Bragg cueve).(2)Thedynamic change of micronuclei and cell survival inhepatoma SMMC-7721 irradiated by 25MeV/u〓 wasstudied.

采用HeLa、B16两种细胞分别研究了X-射线和重离子在水介质中入射的深度与相应细胞的存活率（1-失活率），结果表明：X-射线对细胞的损伤随深度而逐渐衰减（或细胞存活随深度逐渐增加），而重离子对细胞的损伤则为Bragg曲线（或细胞存活为倒Bragg曲线）。

In addition, the cell viabilities of HCT-8 co-treated with Fraction H7-3 and H13-3 (50 μg/mL) were 47.0 ± 2.0 % that were more effective then treated with single fraction. In conclusion, the results revealed that the interaction between constituents of Antrodia camphorate have potential to enhance the anti-tumor abilities.

并从交互合并处理的结果得知Fraction H7-3合并H7-5及Fraction H7-5合并H13-3於处理浓度50 μg/mL下，A549细胞存活率分别为60.0 ± 3.6 %及50.5 ± 2.2 %；Fraction H7-3合并H13-3於处理浓度50 μg/mL下，HCT-8细胞存活率为47.0 ± 2.0 %，皆比单独给予更具有明显的效果，显示樟芝固态发酵产物的物质间存在一些交互作用增加其对肿瘤细胞的抑制能力。

Using the refractive index data determine the approximate composition of your oil, your carvone fraction and your limonene fraction with respect to limonene and carvone

利用折光率的数据确定你的油中，你的香芹酮馏份和与柠檬烯和香芹酮有关的柠檬烯组份的大概成份。

Common fraction :a fraction having an integer as a numerator and an integer as a denominator.

分数：一个有整数分子和整数分母的分数。

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。