Examples of using Hilbert in English and their translations into Chinese
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The most important inner product spaces are the ones which are complete with respect to this metric; they are called Hilbert spaces.
This space is actually a Hilbert space with an inner product given for any two elements f and g by.
这个空间实际上是一个希尔伯特空间，有著针对任何两个的元素f和g的如下内积.General Banach spaces are more complicated than Hilbert spaces, and cannot be classified in such a simple manner as those.
一般Banach空间比Hilbert空间更复杂，并且不能以这样简单的方式分类。Vector spaces(mainly Hilbert spaces) are applied in quantum theory and in statistical physics.
向量空间（主要是希尔伯特空间）应用于量子理论和统计物理学。This is Hilbert's 17th problem, which was solved by Artin in 1927 WEB.
Hilbert's17thproblem已经由Artin在1927年的出否定的解决。
Hilbert's paradox of the Grand Hotel is a mathematical paradox named after the German mathematician David Hilbert.
希尔伯特旅馆悖论是一个与无限集合有关的数学悖论，由德国数学家大卫·希尔伯特提出。The Mizar project has completely formalized and automatically checked a proof of Hilbert's basis theorem in the HILBASIS file.
Mizar计划已经完全形式化并自动检查完毕希尔伯特基定理的证明；见HILBASISfile。The analytic representation of a real-valued function is an analytic signal, comprising the original function and its Hilbert transform.
实值函数的解析表示是解析信号，包含原始函数和它的希尔伯特变换。The classic example used is that of the infinite hotel paradox, also called Hilbert's paradox of the Grand Hotel.
一個经典例子是无限旅馆悖论，也叫做希尔伯特旅馆悖论。For example, consider the Hilbert space ℓ 2( Z){\displaystyle\ell^{2}(\mathbb{Z})}, that consists of all bi-infinite sequences of real numbers.
例如考虑希尔伯特空间ℓ2(Z){\displaystyle\ell^{2}(\mathbb{Z})}，它由所有双向无限实数序列.In their book Geometry and the Imagination David Hilbert and Stephan Cohn-Vossen describe eleven properties of the sphere and discuss whether these properties uniquely determine the sphere.
在DavidHilbert和StephanCohn-Vossen的著作《几何与想象》一书中，统一描述了球面的11种性质，并讨论了这些性质是否仅仅存在于确定球面之中。Hilbert had been competing with Einstein to develop the mathematically complex theory, which describes gravity as the result of matter curving spacetime SN: 10/17/15, p.
希尔伯特一直在与爱因斯坦竞争，以发展数学上复杂的理论，该理论将重力描述为物质弯曲时空的结果(SN：10/17/15，第16页)。FFmpeg 3.3“Hilbert” was released last year in April and adds several new decoders, encoders, demuxers, and filters, along with support for spherical videos.
FFmpeg3.3“Hilbert”去年4月份发布，增加了几个新的解码器，编码器，解复用器和滤波器，并支持球形视频。The bracket⟨⋅,⋅⟩{\displaystyle\langle\cdot,\cdot\rangle} is the scalar product on the Hilbert space; the sum on the right hand side converges in the operator norm.
尖括号⟨⋅,⋅⟩{\displaystyle\langle\cdot,\cdot\rangle}是希尔伯特空间上的标量积;右边的和依算子范数收敛。In mathematics, a Hilbert- Schmidt operator, named for David Hilbert and Erhard Schmidt, is a bounded operator A on a Hilbert space H with finite Hilbert- Schmidt norm.
在数学中，一个希尔伯特-施密特算子（得名于大卫·希尔伯特和埃哈德·施密特）,是希尔伯特空间H上的有界算子A，有有限的希尔伯特-施密特范数.The product of two Hilbert- Schmidt operators has finite trace class norm; therefore, if A and B are two Hilbert- Schmidt operators, the Hilbert- Schmidt inner product can be defined as.
两个希尔伯特-施密特算子的乘积有有限的迹类范数；因此，如果A和B是两个希尔伯特-施密特算子，希尔伯特-施密特内积可以如下定义.Slurm uses a best fit algorithm based on Hilbert curve scheduling or fat tree network topology in order to optimize locality of task assignments on parallel computers.[1].
Slurm使用基于Hilbert曲线调度或肥胖树网络拓扑结构的最适算法，以便优化并行计算机中的任务分配。[1].In mathematics, there are many kinds of inequalities involving matrices and linear operators on Hilbert spaces. This article covers some important operator inequalities connected with traces of matrices.[ 1][ 2][ 3][ 4].
在数学里面，有很多关于希尔伯特空间上的矩阵和线性算子的不等式。本文主要论述和矩阵的迹有关的一些重要的算子不等式。[1][2][3][4].Hilbert Hotel.
希尔伯特旅馆悖论.The Hilbert- Pólya.
希尔伯特-波利亚，.
