The notion of a tensor captures three great ideas: equivariance, multilinearity, separability. But trying to be three things at once makes the notion difficult to understand. We will explain tensors in an accessible and elementary way through the lens of linear algebra and numerical linear algebra, elucidated with examples from computational and applied mathematics.

中文翻译：

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计算中的张量

张量的概念包含三个伟大的思想：等变、多重线性、可分离性。但是试图同时成为三件事会使这个概念难以理解。我们将通过线性代数和数值线性代数的镜头以易于理解和基本的方式解释张量，并通过计算和应用数学的示例进行阐明。