On Professor Ray Huang's Thesis of "Mathematically Unmanageable" in Late Imperial China

“数目字管理”是洞见或是限制?黄仁宇“大历史观”下的明清市场与政府

`But, in order not to exceed it, you must jump mathematically from the trains upon the steamers, and from the steamers upon the trains again.'

“要想不超过八十天,必须极准确地一下火车马上就上船,一下船马上又上火车才行啊!”

The property of being mathematically closed.

闭合,闭包闭合精确程度的特性

The product definition shall include drawings or mathematically based data, product design reviews results, and? diagnostic guidelines where applicable.

产品定义包括图样或以数学为基础的数据、产品设计评审结果、诊断指南。

A magnetic anomaly can be continued downward mathematically

磁异常可在数学上进行向下延拓。

From above we can conclude that the break-even point can be computed mathematically , but the break-even chart is also widely used.

从上面可以看出,均衡点可以通过数学计算求得,但均衡图仍广泛使用。

An example of the customer specific requirements is the application of digitized mathematically based data.

顾客特殊要求的其中一个范例就是精确地将数据数字化

Mathematically Economical Analysis in the Environmental Disposal

环境治理的数理经济分析

that is, they audited their own performances mathematically or electronically in order to avoid errors of entropy, unnecessary redundancy, or other simple hazards.

即它们能以数学或电子方式审听自身行为,以避免熵、不必要的冗余和其它毛病。

She's not mathematically inclined, ie not interested in mathematics

她对数学不感兴趣

Although tachyons have never been seen in earth-based laboratories, mathematically they can exist

尽管在地面的实验室中,从来没有发现过超光子,但从数学上说,它是可能存在的。

Discretization:The act of making mathematically discrete.

离散化:使成为数学上的离散形式的行为.

A quantum number, either+1(even)or-1(odd), that mathematically describes this property.

量子数的均衡从数学含义来描述对称性的量子数＋1(偶)或-1(奇)

Newton proved mathematically that the path of a plant must be an ellipse

牛顿用数学证明了行星的轨道必定是椭圆形的。

The social sciences know nothing that can be compared to the mathematically formulated causal laws of physics

社会科学不知道有什么事情可以和数学公式所表示的物理学因果律相提并论。

It is still mathematically possible for China to advance to the second round if they defeat Turkey in their next game and Brazil beat Costa Rica.

数字上中国仍机会晋身次圈。前提是他们下仗击败土耳其,及巴西击败哥斯达黎加。

Japanese physicist.He won a1949Nobel Prize for mathematically predicting the existence of the meson.

汤川,秀澍1907-1981日本物理学家,因以数学方法预言介子的存在而获得了1949年的诺贝尔奖

now he was an honourable gentleman, mathematically pursuing his eccentric journey round the world

现在,他却被肯定是一位正人君子了,他一丝不苟地作了一次举世少见的环绕地球一周的旅行。

Now allow our space traveler to proceed to another galaxy whose residents are intelligent and mathematically adept

现在让我们的空间旅行者继续飞向另一个星系,假设这个星系上居民聪明并精通数学。

That is, unless some restrictions are placed on which individual preferences are allowed into consideration, it can be mathematically proved that no method of combining those individual preferences can satisfy the customary standards of rationality

也就是说,除非对某些允许考虑的个人爱好施加一些限制,才能从数理上证明,没有一种方法能把各自的爱好结合在一起,以此达到合理性的惯常标准。

Because of the regulation of these two molecules, the [H+] is tightly maintained at 40 mEq/L (pH=7.40). This equilibrium CO2, HCO3-, and H+ can be mathematically defined by the H-H equation

由于这两种分子的调节作用,[H+](也就是PH值)就维持在40mmol/L(PH=7.4)。这种CO2、HCO3-和H+之间的平衡可以用H-H方程计算.

Atoms are the basic building blocks of matter. Every physical entity can be described, physically and mathematically , in terms of interrelated quantities of mass, inertia, and gravitation.

原子是物质的基本组分。在物理和数学上,每个物理实体都可以用与质量、惯性和引力相关的一些量来描述。

In binary floating-point concepts,a value with an associated sign which is mathematically greater in magnitude than any binary floating-point number.

在二进制浮点数中,一种带有符号的特定值,其量值大于一台计算机所能表达的任何二进制浮点数。

In machining contours, numerical control can mathematically translate the defined curve into a finished product, saving time and eliminating templates.

在加工外形轮廓时,数控能够用数学方法将确定的曲线转换成成品。既节省时间,又无需样板。

No idea in science survives because it is esthetically pleasing, mathematically elegant, or magnificently general

在科学上,没有一种观念可以因为在艺术上可爱,数学上优美,或者因为有广泛的普遍性而长久存在。

The chief reason for this choice was that the PI was mathematically tractable

这样选择的主要原因是这种性能指标在数学上便于处理。

The shortest line between two points on any mathematically defined surface.

最短连线任何数学定义的表面上的两点间最短连线

||1: A score of one on any aspect indicated a participant gave no consideration to it. A score of two indicated some consideration. A score of three indicated a great deal of consideration. ||2: Each participant's scores were then added up and mathematically transformed to create an overall value within a range of zero to 100 for both interpersonal and intergroup wisdom.

||1:1分代表参与者根本就没有考虑过，2分代表参与者有了些思考但并不深入，3分代表参与者对这些问题有深入的思考。||2:将参与者的每个问题的得分相加，再把总分从人际关系及团体关系两方面分别转换为百分制。

||1:BIOLOGISTS are sometimes accused of physics envy—and there is truth in this accusation.||2:The essential fuzziness of biological systems can never be captured by the precise, mathematically based experiments of something like the Large Hadron Collider.||3:Between physics and biology on the spectrum of fuzziness, though, lies chemistry.||4:And a group of researchers led by Carolyn Nersesian of the University of Sydney has just borrowed one of chemistry's most elegant techniques, titration, to answer a pressing ecological question: how do animals choose where to feed.

||1:生物学家们常常被认为非常嫉妒研究物理学的人（事实上确实如此）。||2:他们永远不可能通过像大型强子加速碰撞那样精确、量化的实验来揭示生物学里的一些关键性的奥秘。||3:但是在这种奥秘的"两极"——物理学和生物学之间还有化学。||4:最近由悉尼大学的卡洛琳·涅尔谢相带领的一组研究人员借用化学里一种非常精妙的技术——滴定法来解决一个迫待回答的问题：动物们如何选择觅食场所。

||1:Mr Gingrich will now come under heavy pressure to withdraw: if he does, and his voters switch to Mr Santorum, Mr Romney could be in difficulties.||2:On election night, however, Mr Gingrich said that the media has declared him dead before, and that he is no closer to quitting now than he was then.||3:In a jubilant speech in Louisiana—which holds its primary on March 24th, after Missouri, Puerto Rico and Illinois—Mr Santorum predicted he would win the nomination outright.||4:That is mathematically nigh-impossible.||5:But his campaign and Mr Gingrich’s released memos on Tuesday detailing their similar strategies: stay in the race, deny Mr Romney a majority of delegates and then prevail at a contested convention in August.||6:Or, as Mr Romney himself might put it, continue dividing the conservative vote, and grease his path to the nomination.

||1:现在Gingrich在是否退出的问题上面临着巨大的压力：如果他退出，他的支持者会转向Santorum，Romney就会受到影响。||2:在选举的那一晚，Gingrich说媒体在之前已经宣布他会失败，而他现在退出初选的可能并不比当时更大。||3:在密苏里州、波多黎各和伊利诺斯州之后，Santorum又来到路易斯安那州，这里在3月24号会进行提名竞选。||4:在充满喜悦的演讲中，他称自己会赢得党内提名，但这几乎是不可能事件。||5:Santorum和Gingrich发布的消息显示他们的竞选活动有着相似的策略：一路坚持，让Romney无法获得超过半数代表，然后在8月的竞选大会上获胜。||6:或者，用Romney的话来说，他们（Gingrich和Santorum）会继续分化保守派的投票，让他可以顺利走向提名。

mathematically provably correct design

数学可验证的正确设计

mathematically based specification language

基于数学的规范语言