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This essay deduces the power sum formula of an arbitrary arithmetic progression step by step on the basis of Euler-Maclaurin formula,and then achieres the compute formula of natural number power sum -∑ni=1i m.

前n个自然数的方幂和，∑ni=1im是一个古老的难题。

Through the investigation into the inventory and transportation cost of Jinsha pharmacy, the article proposed the calculation formulas of the optimum purchase sum. By using step-by-step planning thoughts, the articled put forward the planning ideas on how to build perfect outlets net in Hunan province. Simultaneously, it optimized

通过对金沙大药房的存货持有成本和运输成本进行研究，提出了金沙大药房的最优药品采购金额的计算公式，运用分层规划思想，给出了金沙大药房在湖南境内如何建立完善的经营网点的规划思路，同时，对金沙大药房市区内药品配送路径进行了优化，得到最短路径，并通过实例予以验证

In order to increase the computation efficiency, artificial dissipation, variable time step and enthalpy damping acceleration techniques are used in the five-step Runge-Kutta time stepping.

在定常的计算中，采用5步Runge-Kutta时间推进，引进人工耗散，应用了当地时间步长、焓阻尼等加速收敛技术。

"One step at a time," Arum said,"one step at a time."

"一步一个脚印，"阿鲁姆说。

Through step-by-step selection of 20 financial indicators, it is found that net interest rate of total assets, assets-liabilities ratio, and accounts receivables turnover are effective predictors of financial failure at listed companies; overall, the model has an accuracy rate of 86.7% in prediction.

经过对20个财务指标的逐步筛选，实证结果发现，总资产净利率、资产负债率和应收账款周转率对上市公司财务失败具有显著的预测作用；模型的总体预测准确率为86.7%。

Education must be assiduously carried out so that this problem can be solved step by step.

必须进行认真的教育，以期一步一步解决这个问题。

Education must be assiduously carried out and this problem can be solved step by step.

必须进行认真教育，以期一步一步解决这个问题。

You can't quit smoking at one blow,you must do it step by step.

你不能一下子戒烟，你得一点儿一点儿来。

You can't just quit smoking at one blow ,you have to do it step by step.

烟不能一下子全戒掉，你得一点儿一点儿的来。

You can't give up smoking at one stroke, you have to do step by step

你不能一下子戒烟，你得一点儿一点儿来。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。