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Just equations
The rewards multiplier represented as a smooth curve: m(t) = 1 + a \cdot \frac{(1 - r^{(\frac{t}{t_n})})}{(1 - r)}
The rewards multiplier represented as a series of linear increments between intervals.
m(t)=\frac{\left(t_{n}\cdot\left(1+a\frac{1-r^{\lfloor\frac{t}{t_{n}}\rfloor}}{1-r}\right)+\left(a\frac{1-r^{\lfloor\frac{t}{t_{n}}\rfloor+1}}{1-r}-a\frac{1-r^{\lfloor\frac{t}{t_{n}}\rfloor}}{1-r}\right)\cdot\left(t-\lfloor\frac{t}{t_{n}}\rfloor\cdot t_{n}\right)\right)}{t_{n}}