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In this paper, mathematical analysis, linear algebra is more material as the foundation, on the basis of previous studies, will solve a number of the function extreme value methods, such as distribution method, elimination method, the discriminant method, mean inequality method, the geometric method, vector method and derivative method, and so to summarize, and on this basis is given for each method the corresponding examples to illustrate for readers to reference and understanding.

本文以数学分析、线性代数更教材为基础，在前人研究的基础上，将求解函数极值的若干方法，如配方法、消元法、判别式法、均值不等式法、几何法、向量法和导数法等等进行归纳总结，并在此基础上针对每一种方法给出相应的例子加以说明，以便读者参考和理解。

Strain, which was screened from soil by Plant Pathology Lab. ofHenan agricultural university, inhibits Rhizotonia cerealis intensely which can cause Wheat sharp eyespot. Based on previous research, it was found that 024 strain showed its inhibitory effect by producing antibiotic.

024菌株是河南农业大学植物病理研究室从土壤中分离出来的对引起小麦纹枯病的禾谷丝核菌有着强抑制力的放线菌菌株。

Based on summarizing previous reaserch results, this paper studied the flow pattern of the complex tidal river with the impact of bend, eyot and tide.

本文在总结前人研究成果的基础上，对具有弯道、江心洲和潮汐作用影响的复杂感潮河段进行了水流流态研究。

If you're talking about how great a previous opportunity was, you want to facially reflect the mood of what you're saying, and sometimes if you're going to have this phone call walking around the room, rather than sitting in a big, comfy chair, you're gonna have more life in your voice.

如果你说的是之前的一次机会多么好，你会希望从面部表情中反映出说话的语气。有时候，如果你是在屋子里走动着接听这类电话，而不是坐在一个宽大舒服的椅子上，你的声音会更有活力。

This paper summarizes previous discussions about three important issues: 1 What type of attention is most facilitative for second language acquisition?

本文综述过去有关注意的三个重大问题的讨论：1）什么类型的注意最有利于二语习得？

Previous researches didn't discuss the effects of payment ways on consumers' purchase intentions. Therefore, the first issue to be discussed is what the difference of the intentions to purchase is between two payment ways. The following is to investigate the cross effects between regulatory focus、payment timing and payment ways. The experiment is 2 x 2 x 2 x 2 x 2 mix –factor experiment of design. Every subject was assigned one of the two regulatory focus manipulations and had to judge four payment methods which were composed of two within-subject variables — payment timing and payment ways. At the same time, different product durability and product types were considered.

而以往的研究并没有针对付费方式做探讨，因此对於在「分期付款」与「一次付清」下的消费者购买意愿差异所知甚少，故本研究第一个要探讨的问题就是这两种付费方式下的消费者购买意愿是否有差别；再来由於以前关於调节焦点与付费时间对於购买意愿的影响的研究大多只集中特定产品种类上，并无全面性的探讨，因此本研究针对这部分做更深入全面性的研究；最后探讨付费方式、调节焦点与付费时间三个变数的交叉效果对於消费者购买意愿之影响。

To factor a polynomial of degree n over Fq, the number of arithmetic operations in Fg isO(n1.8010111405662083logq) or On2+o(1 +n1+o(1) log q or On (1,3/4,3/4+ n1+o(1) logq, of which the first one is less by 0. 00433886 than the previous record.

具体地说，为了分解有限域F~q上一个次数为n的多项式，该算法的时间开销为 On~(1.8010111405662083logq或On~(2+o(1)+n~1+o(1logq或On~(ω(1，3/4，3/4)+n~I+o(1logq个F_q中算术运算，其中第一个开销的指数比已知的最好结果降低了

Compared to previous models, this is the first thesis that based on experiments and theories to increase factuality and generality, which provide the social scientists a platform to observe and experiment.

相较於过去的模型，本研究模型率先尝试以社会心理学之理论和实验数据为依据来制定模型，以提高模型的参考价值，为社会科学领域的研究者提供一个观察和实验平台。

However, as has been indicated in the previous section, the process of registering for classes usually begins with a personal consultation with the faculty adviser, who helps a student select appropriate courses.

不过就像前面已讲过的，注册上课的程序通常从学生直接与院系顾问咨询开始，那位顾问帮助学生选择适当的课程。

To envious observers, Ireland's fall from grace is an overdue payback for its previous swift rise.

对于心有羡慕的观察家来讲，爱尔兰经济的整体下调是在快速冒升之后一次姗姗来迟的修正。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷