> For the complete documentation index, see [llms.txt](https://axon-finance.gitbook.io/axon-finance-docs/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://axon-finance.gitbook.io/axon-finance-docs/huang-pi-shu-fu-lu/appendix-notation.md).

# 附录 I · 符号表

全文形式化记号统一定义于此，供各节回指。

## 系统与共识

| 记号                                | 含义                                            | 出处                                                                                                                                                                                     |
| --------------------------------- | --------------------------------------------- | -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| $\mathcal{V} = {v\_1,\dots,v\_n}$ | 验证者集合                                         | [A.1.1](/axon-finance-docs/huang-pi-shu-a-xi-tong-mo-xing-yu-mi-ma-xue/a1-system-model.md)                                                                                             |
| $s\_i$                            | 验证者 $v\_i$ 的有效权益（自有 + 委托）                     | [A.1.1](/axon-finance-docs/huang-pi-shu-a-xi-tong-mo-xing-yu-mi-ma-xue/a1-system-model.md)·[F.2.1](/axon-finance-docs/huang-pi-shu-f-xie-yi-jing-ji-yu-an-quan/f2-staking-slashing.md) |
| $S = \sum\_i s\_i$                | 总权益                                           | [A.1.1](/axon-finance-docs/huang-pi-shu-a-xi-tong-mo-xing-yu-mi-ma-xue/a1-system-model.md)                                                                                             |
| $S\_f$                            | 拜占庭节点权益，假设 $S\_f < \tfrac13 S$                | [A.1.3](/axon-finance-docs/huang-pi-shu-a-xi-tong-mo-xing-yu-mi-ma-xue/a1-system-model.md)                                                                                             |
| $\Delta,\ \mathrm{GST}$           | 消息延迟界、全局稳定时间（部分同步）                            | [A.1.2](/axon-finance-docs/huang-pi-shu-a-xi-tong-mo-xing-yu-mi-ma-xue/a1-system-model.md)                                                                                             |
| $r$                               | 视图（共识轮次）                                      | [B.1.2](/axon-finance-docs/huang-pi-shu-b-gong-shi-yu-zhang-ben/b1-consensus.md)                                                                                                       |
| $\mathsf{QC}(b)$                  | 区块 $b$ 的 quorum certificate（权益 $>\tfrac23 S$） | [B.1.2](/axon-finance-docs/huang-pi-shu-b-gong-shi-yu-zhang-ben/b1-consensus.md)                                                                                                       |
| $\mathsf{Leader}(r)$              | 视图 $r$ 的领导者（VRF 派生）                           | [B.2.3](/axon-finance-docs/huang-pi-shu-b-gong-shi-yu-zhang-ben/b2-validators.md)                                                                                                      |
| $\mathsf{commit}(b,h)$            | 区块 $b$ 在高度 $h$ 最终提交                           | [A.1.4](/axon-finance-docs/huang-pi-shu-a-xi-tong-mo-xing-yu-mi-ma-xue/a1-system-model.md)                                                                                             |
| $T\_{\text{final}}$               | 最终性延迟                                         | [B.1.7](/axon-finance-docs/huang-pi-shu-b-gong-shi-yu-zhang-ben/b1-consensus.md)·[G.2.2](/axon-finance-docs/huang-pi-shu-g-wang-luo-yu-xing-neng/g2-performance.md)                    |

## 密码学

| 记号                                                    | 含义            | 出处                                                                                                                                                                      |
| ----------------------------------------------------- | ------------- | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| $H(\cdot)$                                            | 抗碰撞哈希（BLAKE3） | [A.2.1](/axon-finance-docs/huang-pi-shu-a-xi-tong-mo-xing-yu-mi-ma-xue/a2-cryptography.md)                                                                              |
| $\Sigma=(\mathsf{KeyGen},\mathsf{Sign},\mathsf{Vrf})$ | 签名方案（Ed25519） | [A.2.2](/axon-finance-docs/huang-pi-shu-a-xi-tong-mo-xing-yu-mi-ma-xue/a2-cryptography.md)                                                                              |
| $\sigma\_{\mathsf{agg}}$                              | BLS 聚合签名      | [A.2.3](/axon-finance-docs/huang-pi-shu-a-xi-tong-mo-xing-yu-mi-ma-xue/a2-cryptography.md)                                                                              |
| $\mathsf{root}(\mathsf{st})$                          | 状态承诺根         | [A.2.4](/axon-finance-docs/huang-pi-shu-a-xi-tong-mo-xing-yu-mi-ma-xue/a2-cryptography.md)·[B.3.3](/axon-finance-docs/huang-pi-shu-b-gong-shi-yu-zhang-ben/b3-state.md) |
| $\mathsf{VRF}\_{sk}(x)\to(y,\pi)$                     | 可验证随机函数       | [A.2.5](/axon-finance-docs/huang-pi-shu-a-xi-tong-mo-xing-yu-mi-ma-xue/a2-cryptography.md)                                                                              |

## 状态与执行

| 记号                                             | 含义                 | 出处                                                                                |
| ---------------------------------------------- | ------------------ | --------------------------------------------------------------------------------- |
| $\mathsf{st}:\mathsf{Addr}\to\mathsf{Account}$ | 全局状态               | [B.3.1](/axon-finance-docs/huang-pi-shu-b-gong-shi-yu-zhang-ben/b3-state.md)      |
| $\delta,\ \delta\_{\mathsf{tx}}$               | 状态转换函数（区块 / 单交易）   | [B.3.2](/axon-finance-docs/huang-pi-shu-b-gong-shi-yu-zhang-ben/b3-state.md)      |
| $\mathsf{seqNo}(\mathsf{tx})$                  | 全局单调序号             | [B.4.1](/axon-finance-docs/huang-pi-shu-b-gong-shi-yu-zhang-ben/b4-sequencing.md) |
| $\mathsf{Log},\ e\_k,\ h\_k$                   | Entry-Log、日志条目、哈希链 | [B.4.2](/axon-finance-docs/huang-pi-shu-b-gong-shi-yu-zhang-ben/b4-sequencing.md) |
| $\mathsf{Replay}(\mathsf{st}\_0,\mathsf{Log})$ | 重放函数               | [B.4.3](/axon-finance-docs/huang-pi-shu-b-gong-shi-yu-zhang-ben/b4-sequencing.md) |

## 授权与 AI

| 记号                                                          | 含义                   | 出处                                                                                                       |
| ----------------------------------------------------------- | -------------------- | -------------------------------------------------------------------------------------------------------- |
| $\mathsf{Verify}(\mathsf{Account},\mathsf{Tx})$             | 可编程验证器               | [C.1.2](/axon-finance-docs/huang-pi-shu-c-zhang-hu-chou-xiang-yu-ai-shou-quan/c1-account-abstraction.md) |
| $P={c\_1,\dots,c\_k}$                                       | 授权策略（约束集）            | [C.2.2](/axon-finance-docs/huang-pi-shu-c-zhang-hu-chou-xiang-yu-ai-shou-quan/c2-session-keys.md)        |
| $\mathsf{Auth}\_P(\mathsf{tx},\mathsf{ctx})=\bigwedge\_c c$ | 授权谓词                 | [C.2.3](/axon-finance-docs/huang-pi-shu-c-zhang-hu-chou-xiang-yu-ai-shou-quan/c2-session-keys.md)        |
| $L\_{\text{total}},L\_{\text{tx}},W,\mathcal{S},\rho$       | 总限额/单笔上限/白名单/资产范围/频率 | [C.2.2](/axon-finance-docs/huang-pi-shu-c-zhang-hu-chou-xiang-yu-ai-shou-quan/c2-session-keys.md)        |
| $\mathsf{spent},\mathsf{count}$                             | 会话累计花费 / 窗口计数        | [C.2.3](/axon-finance-docs/huang-pi-shu-c-zhang-hu-chou-xiang-yu-ai-shou-quan/c2-session-keys.md)        |

## PayFi 与经济

| 记号                                              | 含义                               | 出处                                                                                                                                                                 |
| ----------------------------------------------- | -------------------------------- | ------------------------------------------------------------------------------------------------------------------------------------------------------------------ |
| $U = B/D$                                       | 利用率（借出/供给）                       | [E.1.2](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e1-money-market.md)                                                                                  |
| $r\_{\text{borrow}}(U),\ r\_{\text{supply}}(U)$ | 借款/存款利率曲线                        | [E.1.3](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e1-money-market.md)                                                                                  |
| $U^{\*}$                                        | 最优利用率拐点                          | [E.1.3](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e1-money-market.md)                                                                                  |
| $H=\sum C\_i\lambda\_i/\text{Debt}$             | 健康因子                             | [E.1.5](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e1-money-market.md)                                                                                  |
| $\lambda\_i$                                    | 抵押物 $i$ 的清算阈值                    | [E.1.5](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e1-money-market.md)                                                                                  |
| $\phi$                                          | 准备金因子                            | [E.1.3](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e1-money-market.md)·[E.2.4](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e2-liquidation.md) |
| $\hat{p},\ \mathrm{MAD},\ z\_i$                 | 聚合价格 / 中位数绝对偏差 / 偏差得分            | [D.2](/axon-finance-docs/huang-pi-shu-d-jie-suan-wei-jia-he-gui/d2-oracle.md)                                                                                      |
| $g$                                             | 带单保底率（$\in\[1%,3%]$）             | [E.3.5](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e3-copy-trading.md)                                                                                  |
| $\chi$                                          | 对冲后单场最大损失比例                      | [E.4.2](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e4-reserve-risk.md)                                                                                  |
| $R\_{ct}$                                       | 带单准备金池                           | [E.4.3](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e4-reserve-risk.md)                                                                                  |
| $\Xi=R\_{ct}/\sum\text{MaxLoss}$                | 带单准备金覆盖率（$\geq\Xi\_{\min}=150%$） | [E.4.3](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e4-reserve-risk.md)                                                                                  |
| $\phi\_{ct}$                                    | 带单准备金注入费率                        | [E.4.3](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e4-reserve-risk.md)                                                                                  |
| $\Delta\_{\text{chal}}$                         | 结算争议窗口                           | [E.3.5](/axon-finance-docs/huang-pi-shu-e-payfi-xie-yi-ji-zhi/e3-copy-trading.md)                                                                                  |
| $\mathsf{gas}(\mathsf{tx})$                     | 交易 gas                           | [F.1.1](/axon-finance-docs/huang-pi-shu-f-xie-yi-jing-ji-yu-an-quan/f1-gas-fees.md)                                                                                |
| $T\_{\text{unbond}}$                            | 解绑期                              | [F.2.4](/axon-finance-docs/huang-pi-shu-f-xie-yi-jing-ji-yu-an-quan/f2-staking-slashing.md)                                                                        |
| $\Theta,\ \text{fee}$                           | 吞吐 / 单笔费用                        | [G.2](/axon-finance-docs/huang-pi-shu-g-wang-luo-yu-xing-neng/g2-performance.md)                                                                                   |

***

*下一节：*[*附录 II · 协议参数表*](/axon-finance-docs/huang-pi-shu-fu-lu/appendix-parameters.md)


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