查询词典 constructive mathematics

As a branch of mathematics, the birth of calculus of variations is the phenomenon results of many of the world's scientists continue to explore the reality.

变分法作为数学的一个分支，它的诞生是科学家对现实世界许多现象不断探索的结果。

Calculus of variations is a field of mathematics that deals with functionals , as opposed to ordinary calculus which deals with functions .

变分法是处理函数的函数的数学领域，和处理数的函数的普通微积分相对。

As functions of the function of mathematics, the Key theorem of calculus of variations is Euler LaGrange, it can be used to the pan-seeking function of the maximum and minimum of mathematical.

变分法是处理函数的函数的数学领域，关键定理是欧拉－拉格朗日方程，用来求的泛函数的极大值和极小值的数学方法。

Based on hydrogeology in Shenyang area, this essay has made study on exploring underground reservoir in rain season besides making full use of river runoff, taking surface water back to underground, and establishing canal surface water and groundwater united exploring mathematics model, working out canal and well optimal plan.

依据沈阳地区水文地质条件，论文提出在适时充分利用外河区间径流的条件下，探求利用地下库容调蓄汛期雨洪，将地表余水引进回灌地下，并建立了渠灌区地表水、地下水联合运用数学模型，推求出渠井联合运用比较方案。

Cantor's set theory attacked those problems only to create a third crisis in the Foundations of Mathematics!

康托尔的集合论对这些问题的探讨只是导致了数学基础的第三次危机！

By the end of the nineteenth century Cantor had discovered various paradoxes in the theory of classes and there was something of a crisis in the foundations of mathematics.

到了19世纪康托尔发现在不同的阶级理论悖论，而且是在数学基础的东西危机结束。

We discovered that the root of teaching knowledge the approval and the implementation about teaching knowledge lay in these reasons: the medium vocational-technical education administration about mathematics teaching management is serious capriciousness and is neglect ing these phenomenon.

本文在最后一章针对研究产生的结论提出了提升中职数学教师的有效途径，对中职数学教师教学知识的提高提供了宝贵的参与意见。

I promise , having the gift of the gab in the past but can't vomit any wording , I turn round, leave, there are the tears Sorry mother How of no use I am, will only let you worry about Remember you help me to think of the mathematics question at night, that is that I have already slept Remembering father that you look after the drinks are a wild boast, that is that you are very tired out Remember that you wash the bowl and wash the clothes and sweep the hygiene , you have neither enmity nor repentance You get up early more than I, sleep later than I, but let me sleep carefully You live frugally by oneself, but satisfy all of my ones that want I really ache very much Cardialgia Let me see to cry Want to wail heartily In the face of the blow coming head-on again and again I have already forgotten how to smile to face Please don't let me put on an air of cheerfulness Give me the time that a little agony suffocate I am too tired ------------------------- Pretend to be strong, the heart is disguised by the smile, hides fragily in the bed clothes, the tears are released , soak all, one touches the broken one sad Fools are all the same, not knowing how to escape being sad , because always there is a dream on the body

我一声答应，往日里的伶牙俐齿却吐不出任何字眼，我转身，走，泪已满面对不起啊妈妈我怎么那么没用，只会让你操心的记得你深夜帮我想数学题，那是我已沉睡记得你照顾喝的天花乱坠的爸爸，那是你很疲惫记得你洗碗洗衣服打扫卫生，你无怨无悔你比我早起，比我迟睡，却让我好好睡你自己省吃俭用，却满足我所有想要的我真的很痛心痛我想哭想放声大哭面对一次又一次迎面而来的打击我已经忘记了如何笑着面对请不要让我强颜欢笑给我一点痛苦窒息的时间我太累了-------------------------假装坚强，心被笑容伪装，脆弱在被褥里匿藏，泪释放，浸湿所有，一碰就破的悲伤傻瓜都一样，都不懂得逃避悲伤，因为总有梦想在身上谢谢了，如果翻译的好分我可以多加问题补充：在那个"想放声大哭"和"面对一次又一次迎面而来的打击"之间加一句："我真的已经尽了最大努力，可为什么还是做不到？！"

Departing from basic concepts of cardinal numbers and their numbering orders, the paper differentiated and analyzed some concepts easy to be confused related to binary system, pointing out that the introduced concepts of ordinals played an important role in the development of modern mathematics.

本文从数及其记数法的基本概念出发，辨析了与二进位制相关的几个容易混淆的概念，指出序数概念的引入在近代数学中有重要意义，作为邵雍数学学派的数学基础，先天易是数学史上第一个专门定义的序数体系，该序数体系在数学史上率先采用了二进位制记数法

O9Z6J?Kd Abstract: Departing from basic concepts of cardinal numbers and their numbering orders, the paper differentiated and analyzed some concepts easy to be confused related to binary system, pointing out that the introduced concepts of ordinals played an important role in the development of modern mathematics.

本文从自然数及其记数法的基本概念出发，辨析了与二进位制相关的几个容易混淆的概念，指出序数概念的引入在近代数学发展中有重要意义，作为邵雍数学学派的数学基础，先天易是数学史上第一个专门定义的序数体系，该序数体系在数学史上率先采用了二进位制记数法。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。