导出了机床展角和跳齿数的理论数学计算公式。
The mathematical calculational formulas of machine tools turning Angle and tooth-leap number are deduced in theory.
通过对智能控制理论数学建模的分析，阐述了它们的控制原理。
The mathematic modeling of these intelligent control theories was analyzed, their control principles were expounded.
从这种机器理论数学的角度上讲，就是有没有证明数学定理的算法。
In mathematical terms, they wanted to know whether there was an algorithm for proving the theorems of mathematics.
这不仅使理论数学容易的多了，而且还使经典计算机上数字计算中出现的错误不致于象滚雪球般失去控制。
Not only does this make the theoretical math a lot easier, it keeps the errors incurred doing numerical calculations on classical computers from snowballing out of control.
结果爱因斯坦首次从理论和定量的角度对布朗运动进行了研究，这成为布朗运动理论数学化的起点。
Results Einstein first studied Brownian motion from the theoretical and quantitative point, and his work is the beginning of mathematical theory of Brownian motion.
“模糊集”概念的提出，不仅扩展了理论数学的基础，而且也使计算机可以模拟人类思维和行为的自然机理。
The "Fuzzy sets" has not only expanded the basis of mathematics, but also made it possible to simulate the mechanism of human thinking and behavior by using computers.
小波分析已经广泛应用于理论数学、应用数学、信号处理、语音识别与合成、自动控制和图像处理与分析等领域。
The wavelet analysis is applying widely to pure mathematics, applied mathematics, signal processing, speech recognition and synthesis, automation processing and image analysis etc.
凯西，混沌理论好像是物理学还是数学的一个分支。
Kathy, chaos theory seems to be a branch of physics or mathematics.
这是因为，对能解释所有自然力量的统一理论的追求已经把目前的数学推到了极限。
That's because the quest for a unified theory that would account for all the forces of nature has pushed current mathematics to its limits.
尽管科学理论的大致框架能被直观地勾勒出来，但当物质世界的一部分最终被理解时，它的描述看起来通常就像数学课本中的一页内容。
Though the broad outline of a scientific theory can be sketched intuitively, when a part of the physical universe is finally understood, its description often looks like a page in a mathematics text.
其他科学家也曾著书向非科学家们解释他们的研究领域，但却不得不忽略数学运算以使得书籍简单易懂，尽管数学运算为他们的理论提供了基础。
Other scientists have written books to explain their fields to non-scientists, but have necessarily had to omit the mathematics, although it provides the foundation of their theories.
他们还设计了产生这种变换的数学理论。
They laid out the mathematical theory for making that transformation.
剑桥大学的一个研究团队通过采用一个多因素的数学模型，提出了这个理论，这个模型同时考察了男性和女性。
A team at the University of Cambridge came up with the theory by applying a mathematical model to the various factors that characterise males and females.
然而，大多数弦理论模式都是基于确定的数学猜想，我们所需要说明的东西就是此类弦理论有一些明确的预测可以检测到。
However, most string theory models are based upon certain mathematical assumptions, and what we ve shown is that such string theories have some definite predictions that can be tested.
它是连接所有粒子和除了引力外的自然力到一个简单数学框架理论的标准模型缺失的部分。
It is the missing piece of the Standard Model, a theory which links all the particles and forces of nature bar gravity into a single mathematical framework.
现存的数学理论无法解释它。
罗瓦兹拉威克等人选择了两个来自于数学逻辑领域的理论来作为他们对于变革的信念的根基。
Watzlawick et al. selected two theories from the field of mathematical logic on which to base their beliefs about change.
你不需要用数学理论进行统计分析，随着时间的流逝，每个人都有可能成为朋友，或者像比尔那样，只于其中的一个保持友好关系。
You don't need to be a math whiz to see that, as time goes on, either everyone will be friends or Bill is going to have to pick a side.
实际上，他吸收描述奇异相变的数学来构建他的引力理论。
In fact, he has co-opted the mathematics of exotic phase transitions to build his theory of gravity.
让我们先来探究一下最近邻背后的数学理论，以便能更好地理解这个过程并了解此技术的某些限制。
Let's delve into the math a little bit, so you can understand the process and also see some of the limitations of this technique.
冯•诺依曼发明了与游戏有关的数学理论。
经济学理论即数学分析。
一些高深的数学理论认为黑洞可以由两个数据加以描述：它们的质量和自旋。
Some elegant and profound mathematics says that black holes can be described using just two numbers: their mass and their spin.
干涉效果是很多量子现象的重点，并在希尔伯特的数学理论中找到了本质的描述。
Such interference effects lie at the heart of many quantum phenomena, and find a natural description in Hilbert's mathematics.
就我看来，这就像用数学的扭结理论或者拓扑学来论证你许愿时交叉手指一样困难。
It kind of seems to me to be at the same level as using mathematical knot theory or topology to justify crossing your fingers when you're making a wish.
从量子理论的数学说到人类思考的本质似乎有些荒唐。
It may sound preposterous to imagine that the mathematics of quantum theory has something to say about the nature of human thinking.
我曾说过在过去十年我学过高等理论计算机科学和数学，大部分时间正是在MIT。
I explained that I had been studying theoretical computer science and mathematics at a high-level for the past decade, much of it spent right here at MIT.
虽然这个理论的准确性有待商榷，它的数学方案与其它更传统的理论一样。
While the accuracy of this theory is still up for debate, treating antimatter as matter going backwards in time mathematically comes up with identical solutions to other, more conventional theories.
虽然这个理论的准确性有待商榷，它的数学方案与其它更传统的理论一样。
While the accuracy of this theory is still up for debate, treating antimatter as matter going backwards in time mathematically comes up with identical solutions to other, more conventional theories.
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