## Token Supply and Distribution

Index | Variable | Descrioption | Property* | Formular | Example |

S1 | $D_{min}$ | Minimum staking amount | C | - | - |

S2 | $IS$ | Initial issued amount | V | - | - |

S3 | $IR_{y}$ | Annual target inflation Rate | C | - | 0.19 |

S4 | $S_{y}$ | Annual maximum commit reward | C | $IS * IR_{y}$ | - |

S5 | $S_{b}$ | Annual maximum commit reward per block of root chain | C | $S_{y}/N_{y}$ | - |

S6 | $N_{y}$ | Total number of blocks in root chain for a year | - | - | - |

S7 | $s_{y}$ | Annual actual commit reward | V | $\sum_{i=1}^{N_{y}}\cfrac{td_{i}}{ts_{i}} * S_{b}$ | - |

S8 | $ts_{t}$ | Total issued amount in $t$ | V | - | - |

S9 | $td_{t}$ | Total staked amount in $t$ | V | - | - |

S10 | $s_{k,t}^{staker}$ | Commit reward of staker from $k$ to $t$ | V | $\sum_{i=k}^{t}\cfrac{d_{i}^{staker}}{ts_{i}}*S_{b}$ | - |

## PowerTON

Index | Variable | Descrioption | Property* | Formular | Example |

P1 | $O$ | odds of winning | C | - | - |

P2 | $TP$ | total supply of power for each round | C | - | - |

P3 | $P$ | total amount of power held by a player for each round | C | - | - |

## Fee and Challenge

Index | Variable | Descrioption | Property* | Formular | Example |

F1 | $E_{r}$ | Recovery epoch | C | - | - |

F2 | $MGP$ | Minimum gas price | C | - | - |

F3 | $d^{o}$ | Total amount staked to an operator | V | - | - |

F3 | $ED$ | Exit deposit | C | - | - |

F4 | $CD$ | Challenge deposit | C | - | - |

## Index

Property | Description |

C | Contants |

V | Variables |

*Last updated on 2020-2-11 by aiden0505*