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Mathematics
Linear and Abstract Algebra
Is tensor product the same as dyadic product of two vectors?
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[QUOTE="fresh_42, post: 6628583, member: 572553"] The dyadic product is a tensor product, but a tensor product can have more than two components and is in general also the sum of e.g. dyadic products. Yes. Column times row. Try this one: [URL]https://www.physicsforums.com/insights/what-is-a-tensor/[/URL] What is a derivative? There are plenty of ways to consider it: slope, linear function, limit, etc. And like $$ D_2(x^2)=\left.\dfrac{d}{dx}\right|_{x=2} (x^2)=4 $$ can be viewed as the linear function ##x\longmapsto 4\cdot x## can tensors be considered as multilinear functions. This is especially in physics the case. So although they are simply a number scheme, they are simultaneously functions, too. [/QUOTE]
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Forums
Mathematics
Linear and Abstract Algebra
Is tensor product the same as dyadic product of two vectors?
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