@DanielFischer We have the cardioid
$z(t)=(1+ \cos t) (\sin t-i \cos t), 0 \leq t \leq 2\pi$
The lngth of the curve is given by $\int_a^b |z'(t)| dt$
There is a subsequence $ \frac{k^{\sin k}}{\sqrt{k}}$ such that $ \frac{k^{\sin k}}{\sqrt{k}} \to 0$ and a subsequence $ \frac{k^{\sin k}}{\sqrt{k}}$ such that $ \frac{k^{\sin k}}{\sqrt{k}} \to \sqrt{n} \to =\infty$
How can we find the perimeter of the cardioid curve?
When two planes have the same perpendicular vector $\overrightarrow{v}$, then they are parallel, right??
We have that the two planes $Ax+By+Cz+D_1=0$ and $Ax+By+Cz+D_2=0$ are parallel, since they have the same perpendicular vector $\overrightarrow{v}=(A, B, C)$.
The line that contains $\ove...
Consider a set of truth literals $C$.
The set $\{\text T, \text F\}^{C}$ is the set of all boolean functions over $C$. This comes from the notation $\mathcal{Y}^\mathcal{X}$ which is the set of all functions $f : \mathcal{X} \to \mathcal{Y}$.
The set of all conjugations will be a subset of $\{...
