查询词典 necessary condition

Finally,the drawbacks of the present device were alow inventory rating and alarge power consumption,against which acommercial test increasing the inventory rating and slowing down the speed of agitator was carried out.From the viewpoint of chemical reaction engineering,the conclusion that it is necessary to increase the area of heat transmission and to improve the agitation condition in order to obtain the expectative content of antioxidant 1010within the specified time was drew.

4针对现装置的投料量过低、锚框式桨的桨转速偏高和功耗过高等缺陷，通过增加投料量和降低转速的工业试验，并根据化学反应工程的原理，发现了"在规定的反应时间内，增加投料量，抗氧剂1010要达到预期的含量，必须相应增加传热面积、改善搅拌"的重要结论，纠正了以往"搅拌为决浙江大学硕士学位论文(2005)定反应效果的唯一因素"的错误观点。

To this end, it is necessary to develop a condition monitoring and fault diagnosing system for machine group.

所以，必须进行基于网络的机组群状态监测与故障诊断技术的研究。

Therefore, it is necessary to study these problems objectively analyze the profound reasons study the feasible settlement and direction of standardizing and development under current condition , resolved these problems through theory and practice in order to perfect the urban land reserve institution.

为此，有必要在客观上深入的探讨和研究这些问题，分析产生的深层次原因，研究在现行条件下可行的解决途径及进一步规范和发展的方向，通过理论指导和实践探索相结合来完善城市土地收购储备制度。

Depending on buildup or soiled condition of finish, mix a 1:2 to 1:6 dilution using water. Dilutions of 1:2 should only be necessary in cases of extreme buildup of floor finish. Generally, a 1:4 dilution is good enough for the job.

根据旧蜡的积聚或肮脏情况用清水把产品调成1：2或1：6的浓度，只有在积蜡极厚的情况下才需要1：2的浓度，一般情况下1：4的浓度已极为有效。

Donor sends out donation à Wait for schools which have been approved for construction à EEP assigns school to donor on a first-come-first-serve basis à EEP sends out school application and brief description of school condition to donor à Approved school begins construction – on average, six months is needed to finish construction. However, if circumstances are not ideal (e.g., inclement weather, bad road conditions and etc) or if the school is located in a very remote area (workers need to carry building materials up the mountain) then a longer time is necessary à Construction completed à Spring and Fall season, EEP volunteers inspect completed schools and take pictures for completion reports à Upon return to the US, prepare pictures and completion reports for donors (Approximately 2-3 months time)à Send out school completion reports to donors

捐款人寄出捐款后→等待申请审核通过的学校→燃灯基金会依捐款人捐款时间的先后，安排审核通过的学校给捐款人→燃灯基金会寄出申请学校的旧校资料，及学校现况照片给捐款人→受助学校动工至学校竣工一般需要六个月，若遇雨季或路断或比较偏远的山区（所有建材需由人工扛上山）则会更久时间→学校竣工后→春、秋两季燃灯基金会义工亲自前往验收并拍照→义工返美国后，整理完工学校照片及竣工资料给捐款人（大约二～三个月整理时间）→寄给捐款人竣工报告书。

In addition, for a class of first-order predicate expression namely first-order predicate expression without free variable and with one quantifier, a necessary and sufficient condition for such first-order predicate expressions to be equivalent and a corresponding judging algorithm are come up with.

另外，对于一阶谓词公式的一个常见子类——无自由变元单量词的一阶谓词公式，提出了一个判定这种一阶谓词公式等价性的充分必要条件和判定算法。

We prove the Fundamental Theorem of the entwined modules and give a necessary and sufficient condition for the R-twisted product of two bialgebras to be a bialgebra.

主要证明了缠扭模上的基本定理；给出了两个双代数的R-扭积是双代数的一个充要条件。

According to the Galois extension theory of the number field,the discriminant of the field and the integral basis theory,the necessary and sufficient condition is attained which is m≡n≡1(mod4),where m and n are two different rational integers without square factors.

四次域是重要的Galois数域之一，该文对四次域Q进行了讨论；利用Galois扩张、域的判别式及整基等一些理论，得出了其具有正规整基的充要条件为m≡n≡1(mod4)(其中m，n是2个不同的无平方因子有理整数)。

Furthermor, we consider their nondiferentiable situation, we define nonsmooth univex functions for Lipschitz functions by using Clarke generalized directional derivative and study nonsmooth multiobjective fractional programming with the new convexity. We establish generalized Karush-Kuhn-Tucker necessary and sufficient optimality condition and prove weak, strong and strict converse duality theorems for nonsmooth multiobjective fractional programming problems containing univex functions.

而且，本文利用Clarke广义方向导数针对Lipschitz函数在原来一致凸函数概念的基础上定义了不可微的一致凸函数，并利用这类新凸性，我们研究了非光滑多目标分式规划，获得了广义Karush-Kuhn-Tucher最优性条件；弱对偶定理、强对偶定理和严格逆对偶定理。

In the forth chapter, a necessary and sufficient condition of the approximation by the partial sum of the generalized Baskakov operators is discussed.

第四章给出广义Baskakov算子用其部分和来代替进行逼近的一个充分必要条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。