Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | |||
real_logarithm [2016/02/10 14:57] nikolaj |
real_logarithm [2016/02/10 14:59] nikolaj |
||
---|---|---|---|
Line 14: | Line 14: | ||
$\log_r(r^n/r^1) = \log_r(r^{n-1}) = n - 1 = \log_r(r^n) - \log_r(r^1)$ | $\log_r(r^n/r^1) = \log_r(r^{n-1}) = n - 1 = \log_r(r^n) - \log_r(r^1)$ | ||
- | vs. | + | vs. |
${\mathrm {dim}}({\mathbb R}^n/{\mathbb R}^1) = {\mathrm {dim}}({\mathbb R}^{n-1}) = n - 1 = {\mathrm {dim}}({\mathbb R}^n)-{\mathrm {dim}}({\mathbb R}^1)$ | ${\mathrm {dim}}({\mathbb R}^n/{\mathbb R}^1) = {\mathrm {dim}}({\mathbb R}^{n-1}) = n - 1 = {\mathrm {dim}}({\mathbb R}^n)-{\mathrm {dim}}({\mathbb R}^1)$ | ||
+ | |||
+ | where by ${\mathbb R}^n/{\mathbb R}^1$ we mean a quotient vector space . | ||
=== Theorems === | === Theorems === |