They're starting to find new mathematical structures in these calculations.
这些关系的数学结构类似于海森堡的不确定性原理,但与量子物理学无关。
The mathematical structure of these relations resembles that of Heisenberg's uncertainty principle, but they have nothing to do with quantum physics; they are purely thermodynamic.
是机器学习的理想气体-一种实用的数学结构,但在现实世界中几乎从未发现过。
Is the ideal gas of machine learning- a useful mathematical construct but almost never exactly found in the real world.
但Tegmark主张在自然界中发现的数学结构,显示数学存在于现实中,而不仅存在人的大脑内。
But Tegmark contends the mathematical structure found in the natural world shows that math exists in reality, not just in the human mind.
这是一个最初被解释为简化价值交换的数学结构,为了持久性地提供一个暂时的概念。
It is a mathematical construct originally construed to simplify the exchange of value, to offer persistence to an otherwise transitory notion.
这些关系的数学结构类似于海森堡的不确定性原理,但与量子物理学无关。
The mathematical structure of these relations resembles that of Heisenberg's uncertainty principle, but they have nothing to do with quantum physics.
我们用文字来描述对registers的规则,但是这些规则也可能是任意复杂的数学结构。
We phrased our rules for registers as simple English statements,but they could be arbitrarily complicated mathematical structures.
作为纯粹的数学结构,big-O表示法不仅限于讨论处理时间和内存。
As a purely mathematical construct, big-O notation is not limited to talking about processing time and memory.
首先,量子力学现有的数学结构基于非常抽象的数学,比如希尔伯特空间及其算符。
The mathematical structure of quantum mechanics is based on rather abstract mathematics, like Hilbert space.
蔡廷给出一个非常好的元生物学介绍,它是一种新的思考生物学的方式,强调支撑生物世界的数学结构。
Chaitin presents an accessible introduction to metabiology,a new way of thinking about biological science that highlights the mathematical structures underpinning the biological world.
但Tegmark主张在自然界中发现的数学结构,显示数学存在于现实中,而不仅存在人的大脑内。
For Max Tegmark the mathematical structure that exists in the physical world shows that mathematics is really there and not only in the human mind.
在自然界中是否存在纯正的正弦波,或者它们是否是帮助我们理解更复杂现象的数学结构??
Are there pure sine waves in nature or are they a mathematical construct that helps us understand more complex phenomena?
我们的宇宙要比上述例子复杂的多,科学家们还没有找到--如果有的话--那个能正确描述它的数学结构。
Our universe is far more complicated than this example,and scientists do not yet know to what, if any, mathematical structure it corresponds.
闵可夫斯基空间与阿尔伯特·爱因斯坦的狭义相对论紧密相关,并且是狭义相对论最为常用的数学表述结构。
Minkowski space is closely associated with Einstein's theory of special relativity andis the most common mathematical structure on which special relativity is formulated.
华尔街雇用很多物理学家,因为物理和金融问题虽然表面上看区别很大,却往往包含相似的数学结构。
Wall Street hires lots of physicists because physical and financial problems, although superficially very different,often have a similar mathematical structure.
一旦我们知道我们关心的是什么样的数学结构,我们应该能够确定维护结构的映射。
Once we know what kind of mathematical structure we are concerned with, we should be able to pinpoint what mappings preserve the structure..
这是非常奇怪的,世界竟是建立在一个如此复杂的数学结构之上。
That's extremely strange,that the world is based so much on a mathematical structure that's so difficult.
建立一个等价涉及展示所考虑的数学结构间很强的相似性。
Establishing an equivalence involves demonstrating strong similarities between the mathematical structures concerned.
在20世纪60年代末期,物理学家发现,其他自然界的力量具有类似于电磁场的数学结构的场。
During the late 1960s,physicists discovered that other forces in nature have fields with a mathematical structure similar to that of the electromagnetic field.
Is this just an interesting mathematical structure that might be able to explain some previously unexplained features of the world, or can we actually test for these extra dimensions?
事实是,马尔科夫读这本书并不是为了学习与生活和人性有关的知识,他是在寻找文本中更基本的数学结构。
But Markov was not reading the book to learn lessons about life and human nature;he was searching for the text's more fundamental mathematical structure.
那些网络和它们的数学结构与呈次线性的生物界不同生物是规模经济会随着规模的增大而减缓生长的速度.
So if it is those networks and their mathematical structure, unlike biology, which had sublinear scaling, economies of scale, you had the slowing of the pace of life as you get bigger.
模型理论在适当的数学结构中分析关于特定解释类别的公式。
Model theory analyzesformulae with respect to particular classes of interpretation in suitable mathematical structures.
根据具体任务,机器学习方法是由特定的数学结构建立起来的。
Depending on their specific tasks,machine learning algorithms are set up with specific mathematical structures.
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