The
tensor is a multi-dimensional array that generalizes the concepts of vectors and matrices to higher dimensions.
张量是一个多维数组,将向量和矩阵的概念推广到了更高维度。
In physics, the stress-energy
tensor describes the distribution of energy and momentum in spacetime.
在物理学中,应力-能量张量描述了时空中的能量和动量分布。
The gradient of a scalar field is a first-order
tensor that represents the rate of change of the field in various directions.
标量场的梯度是一个一阶张量,表示场在不同方向上的变化率。
By applying
tensor calculus, Einstein formulated his theory of General Relativity.
通过运用张量微积分,爱因斯坦提出了广义相对论。
In machine learning,
tensors are used extensively for data representation and manipulation in deep neural networks.
在机器学习中,张量被广泛用于深度神经网络中的数据表示和操作。
A covariance
tensor can be used to model complex relationships between multiple variables in statistical analysis.
协方差张量可以用来在统计分析中建模多个变量之间的复杂关系。
The electromagnetic field is represented by a rank-2
tensor in the context of special relativity.
在狭义相对论的框架下,电磁场由一个二阶张量表示。
Tensor networks are graphical representations of high-dimensional
tensors, useful in quantum many-body theory.
张量网络是高维张量的图形表示,对于量子多体理论非常有用。
The Riemann curvature
tensor measures the degree to which spacetime curves at a given point.
里奇曲率张量衡量了时空在某一点弯曲的程度。
In computational linguistics, word embeddings are often represented as
tensors to capture semantic and syntactic relationships.
在计算语言学中,词嵌入常以张量形式表示,以捕捉语义和句法关系。
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