查询词典 equivalent functions

In allusion to Funar Conjecture :"If a random triangle lies in a closed unit square,then its inscribed circle s radius,r≤(5-1)/4",an equivalent minimum problem about a function of 2-variables is studied;the stagnation point and its value,value on the boundary of the function of 2-variables are studied,the equivalent problem is proved correct,so the Funar Conjecture is proved correct.

针对Funar猜想："设任意三角形位于闭单位正方形内，则该三角形的内切圆半径，r≤(5-1)/4"，研究了与其等价的某二元函数的最小值问题；利用对此二元函数驻点及其取值、边界取值讨论，证明了等价问题成立，进而此Funar猜想得证。

With the properties of Equivalent Vulcanization temperature,three alarming outputs of the Temperature Controller are used to determine temperature interzone of Vulcanization tank,and Equivalent Vulcanization Time is adjusted.

应用范特霍夫理论，研究了等效硫化下温度与时间的区间特性，根据等效硫化温度的区间特性，利用温控表的三个报警输出来确定硫化罐所处温度区间，调整等效硫化时间，并与上位机进行实时通讯。

The superstructure has used the model of elastical constitutive relation; the pile-group foundation has quoted the soil-pile equivalent compound model. It has been analyzed the constitutive relation for soil-pile equivalent compound which regarded as the transversely isotropic body this construction relations, and determined the corresponding elastic constant.

上部结构采用线弹性本构模型，下部群桩基础引用了桩土等效复合体模型，分析了将桩土等效复合体视为横观各向同性体的本构关系，确定了相应的弹性常数。

Also, special attention should be paid to the following: the readers of the translated text should be the judger of the quality of translation; equivalent translation should be in language context; choose a more equivalent form when functional equivalence is attained.

同时，在应用功能对等理论翻译英语隐喻时也应注意几个问题：要以译文读者为判断主体；要在具体语言情境中对等翻译；在实现功能对等的前提下，选择形式更对等的翻译方法。

A preferred form of the invention is a process comprising adding to a quantity of sodium which is covered with a hydrocarbon solvent boiling above 100°C., at least a chemically equivalent proportion of methyl, ethyl or a propyl alcohol, subsequently adding an approximately equivalent proportion of a dialkyl carbonate and of an alkyl phenylacetate, the alkyl groups in these two last-mentioned compounds being preferably the same as the alkyl radical of the above-mentioned lower aliphatic alcohol, heating the mixture to induce reaction and continually distilling out the alcohol formed from the reaction zone.

本发明的理想形式包括下面的工艺过程：把至少处于化学平衡的甲醇，乙醇或丙醇添加到覆盖着沸点超过一百摄氏度的碳氢化合物溶剂中，接着加入大约相同当量的二烷基碳酸酯和烷基乙酸苯酯，在刚才提到的化合物中，其烷基集团最好是和刚才提到的低级别脂肪族醇相同，然后加热反应混合物从而引导反应的进行，在反应区域通过连续蒸馏移除形成的醇类。

Process for the manufacture of a dialkylphenylethylmalonatewhich comprises adding to a quantity of sodium which is covered with a hydrocarbon solvent boiling above 100°C, at least a chemically equivalent proportion of methyl, ethyl or a propyl alcohol, subsequently adding an approximately equivalent proportion of a dialkylcarbonate and of an alkyl phenylacetate, the alkyl groups in these two last-mentioned compounds being preferably the same as the alkyl radical of the above –mentioned lower aliphatic alcohol, heating the mixture to induce reaction and continually distilling out the alcohol formed from the reaction zone and finally causing the sodio diethyl phenylmalonate so formed to interact with an ethylating agent.

生产二烷基苯基丙二酸酯的工艺过程：这包括这包括把至少处于化学平衡的甲醇，乙醇或丙醇添加到覆盖着沸点超过一百摄氏度的碳氢化合物溶剂中，接着加入大约相同当量的二烷基碳酸酯和烷基乙酸苯酯，在刚才提到的化合物中，其烷基集团最好是和刚才提到的低级别脂肪族醇相同，然后加热反应混合物从而引导反应的进行，在反应区域通过连续蒸馏移除形成的醇类。最后使所形成的钠代二乙基苯基丙二酸酯和乙基化试剂反应。

The results are the following: When calculating the motion mass, it is better to use idler's equivalent mass instead of the rotating part mass and serial idler's rotating inertias and equivalent mass are calculated. The accurate analysis result for the deflection curve length of the belt shows: The error calculated by the approximate parabola length is lower than 10〓. Thus the approximate method is accurate enough for calculation. The relations between the running resistances coefficient and the belt velocity are studied by experiment, which are the bases for calculating the linear coefficient values between them.

得出：在计算参与运动质量时对托辊应采用托辊的等效质量而不是目前采用的托辊旋转部分质量，并计算出了系列的托辊转动惯量和等效质量；对输送带的挠曲线长度进行了精确的分析，结果表明：采用近似的抛物线长度计算方法其误差在10〓以下，因而得到在计算输送带挠曲线长度时采用近似的抛物线具有足够的精度；对输送机运行阻力系数与带速间的关系进行的实验研究，得出阻力系数与带速线性关糸的系数值。

The authors combine the equivalent magnetic circuit in time domain with equivalent electric circuit in frequency one,and use it to analyze and calculate the specialities of a three-phase transformer successfully.

作者将时域中变压器的等效磁路法同频域中变压器的等效电路法有机地结合在一起，成功地用于分析和计算GIC作用时三相电力变压器的特性。

The deformation damage object is defined as the max damage of all elements in net forging and the deformation uniformity object is defined as mean square deviation of the equivalent-strain in each element and the average equivalent-strain of all elements.

用锻件所有单元的最大损伤值作为衡量锻件变形损伤的指标，用锻件所有单元体的等效应变与整个终锻件的平均等效应变的均方差，作为锻件变形均匀性的指标，构造了多目标优化问题的评价函数。

Based on the marriage of finite elements method and multi-arch beam method, improving equivalent stress analysis method of arch dam is proposed and the effect of mesh size on arch dam equivalent stress is discussed in this paper.

在综合有限元和多拱梁法优点的基础上，提出了一种改进的拱坝等效应力分析方法，并通过算例探讨了网格尺寸对拱坝等效应力的影响。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。