# Hamel function

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

Title Hamel function HamelFunction 2013-03-22 14:15:19 2013-03-22 14:15:19 mathcam (2727) mathcam (2727) 7 mathcam (2727) Definition msc 15A03 msc 54C40