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Everyone knows the following:
$$0^x = 0 \quad \wedge \quad x^0 = 1 , \quad\forall x \in R^*$$
One morning, I wake up asking myself the question "$\text{What is $0^0$, then?}$".
So, I did what any curious highschool student would do, I tried to figure it out using algebra
$$0^0 = 0^{x-x} = \frac{...
Let $f(0)=2.$
Define for positive integers $n$ :
$f(n+1) = \frac{3}{2} f(n)$ if $f(n)$ is even.
$f(n+1) = \frac{3}{2}(f(n)+1)$ if $f(n)$ is odd.
We now have $\lim_{n->\infty} \dfrac{4* (3/2)^{n} }{f(n)} = C$
Where $C$ is some constant.
Apparantly $C$~$\sqrt[11] {10}$ but I guess that $C$ can...
Yu the Great (Chinese: 大禹; pinyin: Dà Yǔ, c. 2200 – 2100 BC), was a legendary ruler in ancient China famed for his introduction of flood control, inaugurating dynastic rule in China by founding the Xia Dynasty, and for his upright moral character.
The dates proposed for Yu's reign precede the oldest known written records in China, the oracle bones of the late Shang dynasty, by nearly a millennium. Stories about his life and reign were transmitted orally in various areas of China, and first recorded in texts from the Western Zhou period (c. 1045–771 BC). Many were collected in Sima Qian's famous...
