We can calculate the user reward within a timeframe, as a to b where b > a
Where n = 1 to a,
UR1=USββDPSn/TSn
UR=US1β(DPS1/TS1+DPS2/TS2+DPSx/TSx)
Where n = 1 to b,
UR2=USββDPSn/TSn
When a user initiates an action in the network, where a = n > 1, we calculate n from 1 to a. When the same user initiates an action again, we calculate from 1 to b, and subtract the previous 1 to a. This can be represented as :
UR=USββDPSn/TSn,(n=1:β)
A user's reward between timeframe a and b can be calculated accurately as: