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Mathematics
Topology and Analysis
Exploring Dual Vector Relationships: f(\vec{x}) and \mbox{d}f_{\vec{x}}(\vec{y})
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[QUOTE="martinbn, post: 6013393, member: 252793"] To get a meaningful answer you need to provide more context. The equality is correct because that is how ##df## is defined. And it is a dual vector because it takes vectors as arguments and gives a number as a result, and it is linear in the argument (the ##\vec{y}## in you expression). [/QUOTE]
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Forums
Mathematics
Topology and Analysis
Exploring Dual Vector Relationships: f(\vec{x}) and \mbox{d}f_{\vec{x}}(\vec{y})
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