第三章研究了一元切触有理插值的存在性。
The chapter 3, we study the existence of univariate osculator rational interpolants.
同时提出了一种新的多点切触加工的加工误差控制方法。
A novel algorithm, for machining error controlling in multi-point contact machining, is proposed.
对所构造的切触有理插值函数，还可通过选择参数降低其次数。
For osculatory rational interpolating function that we have constructed, we can reduce its number of times by choosing parameters.
已有的构造切触有理插值函数方法，多数是与连分式计算相联系的。
Existing methods of constructing oscillatory rational interpolating function are almost related to calculation of continued fractions.
本文将在切触有理插值中起重要作用的Salzer定理推广到了多元向量的情形。
In this paper, the important Salzer's theorem for rational interpolation is generalized to the multivariate vector valued case.
第四章主要讨论了二元向量有理插值的迭加算法及二元向量切触有理插值的表现公式。
The chapter 4, we mainly discuss the overlay algorithm of two-variable vector-valued rational interpolation and show formula of two-variable vector-valued contact interpolation.
一触改变一切。
但是现在电脑可以不受形式的限制做到这一切，一旦被转化成数字格式，信息就可以通过声音或是触碰进行传播。
But now the computer has essentially done away with the limits of form, because information, once it has been digitized, can be conveyed through sound or touch.
就像很多男士认为的那样，从小我都认为，男的没有权力去触碰他们看到的东西，但是有权力去看他们想看的一切。
I realized that I'd grown up believing what many men believe, that guys may not have a right to touch what they see, but they have a right to look as much as they want.
这些设备的触屏功能是这一切的根本。我们得知这个软件可以识别多达10个同时的触屏输入。
The use of these devices' multi-touch capabilities is the key to all of this. The app can recognize up to 10 simultaneous multi-touch inputs, we're told.
这些设备的触屏功能是这一切的根本。
The use of these devices' multi-touch capabilities is the key to all of this.
第一次的交流，第一次的触碰，冥冥中的触碰，神奇的触碰，因着它，一切都改变了。
The first interaction, the first touch, the devine touch, the magic touch, things changed.
由于该表是触屏设计，所以调整时间也非常方便，你只需轻轻一点轨道，单击调整按钮，然后将轨道滑到正确的时间，一切就ok啦。
Adjusting the clock is easy as the watch is the touchscreen, all you have to do is to touch the line, click adjust icon and slide current time line to correct time.
仙女用她的魔杖触碰宫里的每个人，以便及时将这里的一切冻结起来。
The fairy touched everyone in the palace with her magic wand, so that everything became frozen in time.
他这样描写到：“波西塔诺深深触碰了我的心灵，这里是梦幻的地方，你身处其中觉得虚幻而不真实，而当你离开，这里的一切又变得真切又令人心动。”
It is a dream place that isn’t quite real when you are there and becomes beckoningly real after you have gone, ” he remarked.
你把一切敌手都远远抛在后面，不久就能用你的食指触着天了。
You distance all rivals, and may soon touch the sky with your forefinger .
各船舶一旦触碰渔船、渔网，应立即通过VHFCH13等一切有效手段报告洋山港海事局，并做好现场遇险人员的救助。
Once the merchant ships touch the fishing boats and fishing nets, they should promptly report to Yangshan MSA by all effective means such as VHF CH13, and make immediate salvage on the scene.
现在球员们会与在边界线外的所有触碰的到的一切发生互动，不论是解说台或者是双方球队的板凳席亦或者是第一排观众席。
Whether it's the commentary table, the two teams' benches or the first row of the crowd, players now interact with whatever they come across past those white lines.
“实体的你”(你的身体)：你有实体的结构和五官感觉，它们使你能够触、看、听、闻、品你周围世界的一切。
The "physical you" your body : your 3 tangible structure and the five senses that enable you to touch, see, hear, smell, and taste the world around you.
它没有任何实体键盘或滑鼠，一切都是由触控来完成。
There is no physical keyboard or mouse, and everything is based on touch.
我试着变得谨慎与冷漠：我试着让我所经历的一切如烟飘散，我试着将自己与世隔离，不让别人接近或触碰我的内心。
I tried to be guarded and aloof: I tried to let all things I have experienced fleet away like smoke; I tried to hide myself in a shell, so that no one could touch me or get too close to my heart.
一旦国难当头，或是负面新闻不断，他们的悲观神经一触即发，仿佛一切努力都失去意义，人生梦想也随之破灭，会要郁闷很长一段时间。
Once the national crisis, or the negative press coverage of their pessimism nerve tense, as if all efforts to have lost their meaning, life dream was shattered, it will be depressed for a long time.
一旦国难当头，或是负面新闻不断，他们的悲观神经一触即发，仿佛一切努力都失去意义，人生梦想也随之破灭，会要郁闷很长一段时间。
Once the national crisis, or the negative press coverage of their pessimism nerve tense, as if all efforts to have lost their meaning, life dream was shattered, it will be depressed for a long time.
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