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author | siveshs <siveshs@gmail.com> | 2010-07-02 03:46:53 +0000 |
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committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-02 03:46:53 +0000 |
commit | f2eacea60f84e8771d8bdfa2c2ea7d624e89d583 (patch) | |
tree | f15e597d6683a34a4b272360e1d9305c0b4beb37 /ClassJune26.page | |
parent | d57142264e0c2688aebd36bf5a38a7b6c11552aa (diff) | |
download | afterklein-wiki-f2eacea60f84e8771d8bdfa2c2ea7d624e89d583.tar.gz afterklein-wiki-f2eacea60f84e8771d8bdfa2c2ea7d624e89d583.zip |
correcting a mistake
Diffstat (limited to 'ClassJune26.page')
-rw-r--r-- | ClassJune26.page | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/ClassJune26.page b/ClassJune26.page index 4a23318..b5454a4 100644 --- a/ClassJune26.page +++ b/ClassJune26.page @@ -162,7 +162,7 @@ and add them up just fine, so we can exponentiate complex values of $z$. We know what happens to real values, what happens to pure imaginary ones? Let $y\in\mathbb{R}$. Then -$$\begin{array} +$$\begin{array}{ccl} e^{iy} & = & 1+iy+\frac{(iy)^{2}}{2!}+\frac{(iy)^{3}}{3!}+\frac{(iy)^{4}}{4!}+\frac{(iy)^{5}}{5!}+\cdots\\ & = & 1+iy-\frac{y^{2}}{2!}-i\frac{y^{3}}{3!}+\frac{y^{4}}{4!}+i\frac{y^{5}}{5!}+\cdots\\ & = & (1-\frac{y^{2}}{2!}+\frac{y^{4}}{4!}+\cdots)+i(y-\frac{y^{3}}{3!}+\frac{y^{5}}{5!}-\cdots)\\ |