It's mathematically impossible.
这在数学上是不可能的。
Anyone can be an astrologer as long as they are mathematically minded.
任何人都可能成为占星家，只要他们具有数学头脑。
The Petzval's portrait lens is the first mathematically calculated lens.
佩兹伐人像镜头是最早的数学计算镜头。
We then have a mathematically rigorous discipline.
于是我们有了一门精确严谨的学科作为工具
However, not all problems can be dealt with mathematically.
然而，不是所有问题都可以用数学方法来解决的。
Can you show me mathematically that that is completely kosher?
你可以用数学分析，说这是完全合理的吗？
In a famous long-term study of mathematically precocious youth.
在著名的对数学早慧少年的长期研究中。
You can mathematically express transformations as matrix operations.
您可以通过数学方式将转换表示为矩阵操作。
Code metrics are a way to mathematically calculate the complexity of code.
代码度量是一种计算代码复杂度的数学方法。
Jobs were competitive and lucrative, yet favored the mathematically minded.
这类职位具有竞争力，待遇丰厚，而且有利于有数学头脑的人。
The result is an array — or, for the more mathematically inclined, a matrix.
结果是一个数组，或者从更加数学方面来讲是一个矩阵。
Again, a little more complicated mathematically but more practical in real use.
再一次，数学上有点复杂，但是很实用。
We write them out mathematically, and we see they use very similar mathematics.
当我们用数学把它们表示出来时，我们发现他们使用的数学是相似的。
In their paper, they prove that these computations are mathematically equivalent.
论文中，他们证明了这些计算是数学等价的。
And what this is just telling us mathematically is, when that happens this is zero.
从数学上说，此时这是零。
Some of these patterns relate to symmetries, which can be expressed mathematically.
有些模式涉及到对称性，因而可以用数学公式加以表达。
Tides can be resolved mathematically into several components and each treated separately.
潮可以用数学方法分解成几个分量，而每一分量均可单独处理。
The US comes second in a new quality of life index designed to be mathematically objective.
根据一个数学上设计更为客观的新生活质量指数，美国的生活质量位列全球第二。
This article explains how luck, hard work and success are related in mathematically simple way.
这篇文章就从简单的数学原理出发，来解释运气，努力工作和成功的联系。
The achievements of IBM and the Carnegie Corporation are impossible to quantify mathematically.
IBM和卡耐基基金会的成就无法用数字衡量。
Developers often are mathematically strong, whereas good architects tend to be stronger verbally.
开发人员经常具有很强的数学能力，而好的架构师则倾向于表现出更强的口头表达能力。
It's highly improbable, but even Hawking admits it is theoretically (i.e., mathematically) possible.
尽管这种可能性微乎其微，但是即使是Hawking也承认这在理论上(也就是在数学推导上)是可能的。
New research mathematically determined the frequencies at which simple viruses could be shaken to death.
新的研究发现了理论上可以杀死简单病毒的震动频率。
While this version sounds different, it is mathematically the same as the one stated with pigeons and pigeonholes.
这一版本听起来（与前一版本）不同，但从数学意义上来说，是一致的。
This connection of De Broglie's was very beautiful mathematically and was in agreement with the theory of relativity.
德布罗意发现的这个关系在数学形式上非常美观，而且和相对论也保持一致。
However, in order for this unification to work mathematically, it requires that force-carrying particles have no mass.
不过，为了使这二者的统一符合数学计算，需要负责传递力的粒子质量为零。
When cash or public company stock is used in an acquisition, the valuation can be mathematically determined with certainty.
当使用现金或上市公司股票支付收购价格时，收购对价可以明确计算。
The time was later reduced with the "faster" lenses such as the Petzval's portrait lens, the first mathematically calculated lens.
后来随着像佩兹伐肖像镜头这样的“快镜头”（最初的数学计算镜头之一）的应用这“长时间”才得以缩短。
The time was later reduced with the "faster" lenses such as the Petzval's portrait lens, the first mathematically calculated lens.
后来随着像佩兹伐肖像镜头这样的“快镜头”（最初的数学计算镜头之一）的应用这“长时间”才得以缩短。
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