# Creator Badge Calculation

To calculate, the Creator Badge, we need first to determine $$\Theta\_j , \Delta\_j , \Omega\_j$$for the Creator j :

$$
\Theta\_j = \cfrac{\rho\_{j}(w-1)}{\rho\_{j}(w-2)}\
$$

with $$\rho(k)$$, number of fractions minted during week *k*

$$
\Delta\_j =\cfrac{\sum\_{k=1}^{w-1}\rho\_{j}(k)}{\sum\_{k=1}^{w-1}\sigma\_{j}(k)}
$$

​with $$\sigma(k)$$, number of fractions supplied during week *k*

$$
\Omega\_j=\cfrac{CCU\_{j}(w-1)}{CCU\_{j}(w-2)}
$$

with ​$$CCU\_j(w)$$, number of Consumed Content Units (Content Played for video and audio, Content Read for text) during the week $$w$$.

Then, ​the Creator Badge for the $$Creator\_j$$ and the week $$w$$ is calculated every week depending on the parameters defined above.

$$
{B}*{Creator\_j}(w)={B}*{Creator\_j}(w-1) \times (x+\Delta\_j)^{y+\Theta\_j}\times \Omega\_j
$$

$$x,y$$​: System Parameter<br>
