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Hamel function
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(Definition)
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A function $h : \mathbb{R}^n \to \mathbb{R}$ is said to be a Hamel function if $h$ considered as a subset $\{(x,h(x)\}\subset \mathbb{R}^{n+1}$ is a Hamel basis for $\mathbb{R}^{n+1}$ over $\mathbb{Q}$ We denote the set of $n$ dimensional Hamel function by $HF(\mathbb{R}^n)$
References
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"Hamel function" is owned by mathcam. [ full author list (2) | owner history (1) ]
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Cross-references: Hamel basis, subset, function
This is version 4 of Hamel function, born on 2004-03-13, modified 2004-04-30.
Object id is 5703, canonical name is HamelFunction.
Accessed 1633 times total.
Classification:
| AMS MSC: | 15A03 (Linear and multilinear algebra; matrix theory :: Vector spaces, linear dependence, rank) | | | 54C40 (General topology :: Maps and general types of spaces defined by maps :: Algebraic properties of function spaces) |
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Pending Errata and Addenda
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