算出

"According to the fundamental theorem of calculus, a definite integral can be calculated by using its antiderivative (a function whose rate of change, or derivative, equals the function being integrated)."

根据微积分基本原理，利用函数的反导数可以算出定积分。

Can you figure out his average score?

你能算出他的平均分吗？

Free sb / sth of … a frequent visitor be friends with sb keep friends with sb a week from today for fun make fun of sb have fun (=have a good time) function as… relief funds furnish a room with… further notice in future = from now on in the future 使…摆脱常客和……友好和……保持友好从今天算起的一周后为了乐趣嘲笑过得愉快起……作用救济金给……配备家具另行通知从今以后,今后在未来 gain experience gain speed No pains, no gains play a close game host the 2008 Olympic Games generation gap gaze at general knowledge have a general/rough idea of in general it is generally believed/considered get on well with get over get through have a gift for be gifted with give out give away give in to give off be only too glad to do sth at a glance cast a glance atn.

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In the layer where molecular chaos held, researchers measured Maxwell Boltzmann statistics, like those that predict the mean square speed of particles in the air in the room.

巴克斯特合作构建了两种"气体"，也可以说是构建了两"层"气体，在一层中分子混沌被保留，研究人员测量了麦克斯韦－玻耳兹曼统计，这些数据可以算出空气中分子运动的速度；在另一层中，没有建立分子混沌状态，测量的数据也没有遵循麦克斯韦－玻耳兹曼统计。

In modern physics research, the calculus of variations has a broad application of law. As a solid mechanics, structural mechanics and computational mechanics of the theoretical foundation, it has important value in theory and practice on the mechanics; Variation method ruled out the perturbation of the restrictions can be widely used in many state-level and the state function in the calculation in the optical; Calculus of variations can be calculated with the parameters, we can guarantee the reliability of the results, can effectively reduce the workload of calculation, It can be said that the applications of calculus of variations are very broad.

在现代的物理学研究中，变分法有着广泛的应用：在力学上，变分法作为固体力学、结构力学及计算力学的理论基础，在理论上和实践上都有重要的价值；在光学上，变分法排除了微扰法的限制，可以广泛应用于诸多定态能级和态函数的计算中；在量子力学的应用中，具有可算出系统的参数，既可以保证计算结果的可靠性，又能有效地减少计算的工作量等的优点，可以说变分法的应用领域十分广阔。

Have you reckoned the number of cattle you have ?

你算出你的牛的数量了吗？

The volume of this container be 24 cubic centimetre.

科学家算出了每1立方厘米氧中原子的数量。

In this paper by using Suzuki-trotter thoughts,we map 1D quantum Heisenberg chain into an equivalent 2D classical system.

利用Suzuki－trotter思想，把1维海森堡链映射为2维经典系统，在trotter方向采用双链近似，算出反铁磁系统的每个格点的自由能，讨论其热力学性质

Meanwhile, it could be seen that there does not exist a confidence interval with width less than 0.5 because of the property of Poisson distribution. Based on these conditions, the author mainly carried out research into two aspects of this problem as follows. Firstly, by numerical and theoretical analysis, the author compares some existent confidence intervals, for example,"exact" confidence interval, Wald confidence interval and Bayesian confidence interval, and finds some deficiencies points of the confidence intervals, whose modification version has been proposed .Also, several better confidence intervals such asare also presented .Secondly, for given confidence coefficient and interval width, the author constructs a class of asymptotical two-stage interval estimate procedures. At the same time, under varies restriction of confidence coefflcientent interval width, the optional sample size of the first stage has been computed by numerical computation. The numerical computation shows that the method considered in this dissertation have good properties and applied value.

同时，由于Poisson分布的特性，我们知道不存在其参数区间长度小于0.5的置信区间，基于这些情况，我们主要展开了以下两个方面的研究：一是利用数值计算分析与理论分析的方法对现有的若干置信区间如"精确"置信区间，Wald置信区间，Bayes置信区间等进行分析比较，发现了一些缺陷，针对这些缺陷，我们进行适当的修正，并得到几种性质较好的置信区间如：修正大样本区间Jeffreys原则下置信区间二是针对已给定的置信系数与区间长度，我们提出了一种渐近的两阶段区间估计程序，并利用数值计算的方法，在各种置信系数与区间长度限定下，算出了最优的第一阶段观测次数，大量数据表明，本文考虑的方法性态良好，具有应用价值。

The testing results of either the augmented Solow model or the endogenous growth model which considered different economic opening degrees both support the conditional convergence hypothesis in most sample sets, while the estimated convergence coefficients of the later are significantly lower than those of the former.

大部分样本中，扩大的Solow模型或考虑不同经济开放程度因素下的内生成长模型，支持条件收敛假说，而后者设算出的收敛系数明显较为低。

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。