从而保证了用本文的方法构造出来的长景物图像，无论是从数学计算角度上还是视觉艺术的角度上都是是一幅完美的作品。
So, the multi-viewpoint panorama of long scenes produced in this paper is a perfect work not only in Mathematical Theory, but also in arts.
他们一直是学区高等数学项目的大力支持者。该项目本来是从四年级开始，但现在将从六年级开始。
They have been huge supporters of the district's advanced mathematics program, which once began in the fourth grade but will now start in the sixth.
我仍然感到震惊的是，我完全改变了，从几乎憎恨数学变成了喜欢它！
It still amazes me that I completely changed from almost hating math to loving it!
从数学的功能上说，最终这些美元将必须回到美国。同时，将美元像个烫手山芋一样推出去是做不到的。
Eventually those dollars will come home, they have to, as a function of math. In the meantime, passing the buck like a hot potato does not work.
他们从卡内基·梅隆大学招募了141名大学生，参加表面上是关于数学技能的研究。
They recruited 141 undergraduates from Carnegie Mellon University to participate in a study ostensibly about math skills.
结果是一个数组，或者从更加数学方面来讲是一个矩阵。
The result is an array — or, for the more mathematically inclined, a matrix.
在后来的生活中我才意识到从数学、科学和逻辑问题上归纳出这种态度并应用于日常生活是如此的有用。
It was only later in life that I realized how helpful it is to generalize this attitude beyond math, science, and logic problems and into the realm of practical daily existence.
从第一阶段到第二阶段是出了名的折磨人心，特别是“证明类问题”成了众多数学系本科生生心中永远的痛。
The transition from the first stage to the second is well known tobe rather traumatic, with the dreaded “proof-type questions” being thebane of many a maths undergraduate.
回归这个概念要追溯到数学家高斯，讨论的是从若干散点中切合出一条直线。
The concept of regression goes back to the mathematician Gauss, who talked about fitting a line through a scatter of points.
从另一方面说，如果数学是被发明的，为什么2+2不等于5呢？
On the other hand, if math is invented, then why can't a mathematician legitimately invent that 2 + 2 = 5?
一项主要领域的转换工作是建立从mathml到tex的转换，TeX是Donald Knuth开发的数学排版系统。
One major area transformation work is the building of transformations to MathML from TeX, the mathematical typesetting system developed by Donald Knuth.
从另一方面说，Mann只不过是愿意花一点钱来换取数学多维空间系内的体育方面争执的好结果。
In other words, Mann is more than willing to donate a few pounds to a good cause in order to pursue a sporting spat in mathematical hyperspace.
它所基于的理念是数学上的“trap - door”函数，它可以沿着一个方向轻松地进行计算，但是很难从相反的方向进行计算。
It's based on the idea of mathematical "trap-door" functions, which are easy to compute in one direction but very difficult to compute in the reverse direction.
毫无疑问，返回的比赛是 Race_01，从数学和字母角度来说都是正确的，26.2大于 13.1。
Sure enough, the race that comes back is Race_01, which is correct: 26.2 is greater than 13.1, both mathematically and lexicographically.
这种观点是直接从数学中借来的。在数学中，像“2 +3”这样的语句可以分析为：由“2”和“3”将“（）+（）”补充完整的函数表达式。
This view istaken over directly from mathematics, where sentences such as ‘2 + 3’ may beanalysed in terms of a function ‘( ) + ( )’ being completed by the arguments‘2’ and ‘3’.
他的工作也从数学上更严格地解决了另一个统计物理学问题，即高度组织的系统，比如压缩气体是如何快速发散并达到其平衡态？
It brings rigor to another question of statistical physics: How quickly does a highly organized system, such as compressed gas about to be released, reach its disordered equilibrium state?
寻找合适的数学工具从可测电气量中提取直接反映故障距离信息是重要的突破点。
It is a breakthrough to extract key information, which directly reflect fault distance from fathomable electrical measurements with appropriate mathematics tool.
个别辅导是教学过程中的一个重要环节，本文从六个方面阐述了如何加强个别辅导，提高数学教学质量。
To improve the quality of maths teaching, the thesis expounds from six aspects how to enhance individual coaching which is one of the most important procedures in teaching.
从数学、国语、甚至是英文，这堂爱心课，慈青学长姊和志工一对一解决照顾户、关怀户家庭的孩子的疑问。
From mathematics, to Chinese and English, the one-on-one classes are carried out by Tzu Chi volunteers and collegiate youth to provide extra tutorials for children of care recipient households.
从数学教育史的角度看，我国古代教师是一种原始状态下的课程设计者、实践者、研究者；
From the history of mathematics education, teachers in the ancient time were the primeval designers, practitioners and researchers of the curriculum.
从模糊数学的观点看，当作对比标准的曲线可以视为“模式”，地层相关对比过程是“模式识别”过程。
If viewed from fuzzy mathematics, the known logging curve is used as a "pattern", and the correlation of strata is called "pattern identification".
模糊变量是描述模糊现象的数学方法，它被定义为一个从可能性空间到实数集的函数。
Fuzzy variables are mathematical descriptions for fuzzy phenomena, and are de-fined as functions from a possibility space to the set of real Numbers.
加权残值法是一种可以直接从偏微分方程中求得近似解的数学方法。
The method of weighted residuals is a mathematic procedure with which approximate solutions can be obtained directly from partial differential equations.
本文从集合论的角度建立了模糊掩模的数学模型，认为模糊掩模是传统掩模的自然扩展。
As a mathematical model created based on the set theory, fuzzy masking can be treated as a natural extention of the traditional masking.
它是中学数学重要的基本思想方法之一，是一种从特殊到特殊的推理方法。
It is one of the important basic thought ways in the middle school mathematics, and is also kind of from exception to the exceptional inference method.
从哲学的开端起数学和论理学一直是关心的中心的题目。
Mathematics and logic have been central topics of concern since the dawn of philosophy.
开普勒的新天文学是西方天文学从传统的数学天文学转变为物理天文学的标志。
Keplerian new astronomy marked the transition from mathematical astronomy to physical astronomy in the West.
开普勒的新天文学是西方天文学从传统的数学天文学转变为物理天文学的标志。
Keplerian new astronomy marked the transition from mathematical astronomy to physical astronomy in the West.
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