查询词典 fractions

Several important matrix function such as e〓, log (1+A), cos (1+A) and A〓 are approximated via truncated matrix continued fractions, and the error bounds associated with the continued fraction approximants of these matrix function are given.

在第六章，我们研究了矩阵函数的数值计算，我们给出了几个比较重要的矩阵函数如e〓，log（1+A），cos与A〓的连分式逼近算法，并给出了各自的误差分析。

In our work, a new continuous thermodynamics method for petroleum fraction phase equilibrium calculation has been proposed, in which true boiling point distillation curves for petroleum fractions were considered to be a continuous distribution function and the distribution variable was TBP temperature, and at the same time, a spline method was used in the distribution function calculation.

在以上工作的基础上，建立了具有普遍实用性的常压塔精馏计算的数学模型，并对多个工业装置进行了实际的模拟，模拟结果与装置的实际情况符合良好，在预测塔的抽出温度，抽出产品的性质，以及各个侧线产品收率等方面都得到满意的结果。

Leading resistant factor into the necessary condition can also enlarge the quadratic convergence region near optimal solution so that it is very efficient to use the known flash calculations at one condition to iteratively compute another optimal solution at other conditions where pressure, temperature and mole fractions of components are close to known ones respectively.

在极值必要条件式中引入阻尼因子能扩大真解附近的平方收敛域，尤其在利用已知条件下的汽液平衡结果作初值直接用极值条件方程迭代计算压力、温度和组成变化不严重的相邻点的汽液平衡极值解方面效果十分显著，适合于加快组分模型的计算速度。

According to the law of conservation of sample energy during solidification, under the condition of Newton's cooling, the ordinary mathematical equation of cooling curve was analized, and a theoretical method calculating solid phase fractions and latent heat was put forward on the basis of characteristic α value.

在对碳含量、硅含量和碳当量作三维空间投影分析的基础上，根据实验数据回归出了计算铁水碳含量、硅含量、碳当量、磷含量、抗拉强度、硬度和共晶度的数学模型；为了提高对硅含量的测量精度，提出了分段定硅的技术方法。

Corresponding points refers to two points or particle s that have completed identical fractions of their periodic motion.

对应点」是指处于相同相位的点，即完成了一个整周期运动的两点。

Corresponding points refers to two points or particles that have completed identical fractions of their periodic motion.

对应点」是指处于相同相位的点，即完成了一个整周期运动的两点。

Fractions of raw materials such as crude oil is well known.

化学工程师的工作是对象原油这样的。。

The phenomenon of saturation or "lock up" when all of the grains have transformed,is described in a rattier simple form through domain volume fractions by the proposed model, in which domain switching in ferro-electrics is analogous to that of dislocation movement on crystal slip planes in metals.

依据晶体塑性理论，将铁电材料中的电畴翻转类比于晶体位错滑移面上的滑移系，定义铁电材料中相应的电畴反转系；采用电畴的体积分数表述电畴翻转的变化量，得到了电畴翻转的饱和特性的简单描述。

He had seen too much of life, and his mind was too matured, to be wholly content with fractions, cube root, parsing, and analysis; and there were times when their conversation turned on other themes - the last poetry he had read, the latest poet she had studied.

他见过太多的生活，心灵太成熟，无法满足于分数、立方根、语句分析和解释，有时便转向了别的话题——他最近读过的诗，她最近研究着的诗人。

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

分、小混合乘法题，当小数与分数有倍数关系时，可用直接约分法

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。