From 62122c63f135d207a0c036c1589d1d924c9c7caa Mon Sep 17 00:00:00 2001 From: James Ray <16969914+jamesray1@users.noreply.github.com> Date: Fri, 16 Feb 2018 21:28:07 +1100 Subject: [PATCH 1/2] link{R__block} --- Paper.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/Paper.tex b/Paper.tex index 52e348e3..ac81f83b 100644 --- a/Paper.tex +++ b/Paper.tex @@ -1110,7 +1110,7 @@ \subsection{Transaction Validation} \subsection{Reward Application} -The application of rewards to a block involves raising the balance of the accounts of the beneficiary address of the block and each ommer by a certain amount. We raise the block's beneficiary account by $R_{\mathrm{block}}$; for each ommer, we raise the block's beneficiary by an additional $\frac{1}{32}$ of the block reward and the beneficiary of the ommer gets rewarded depending on the block number.\hypertarget{Omega}{} Formally we define the function $\Omega$: +The application of rewards to a block involves raising the balance of the accounts of the beneficiary address of the block and each ommer by a certain amount. We raise the block's beneficiary account by \hyperlink{$R_{\mathrm{block}}$}; for each ommer, we raise the block's beneficiary by an additional $\frac{1}{32}$ of the block reward and the beneficiary of the ommer gets rewarded depending on the block number.\hypertarget{Omega}{} Formally we define the function $\Omega$: \begin{eqnarray} \\ \nonumber \Omega(B, \boldsymbol{\sigma}) & \equiv & \boldsymbol{\sigma}': \boldsymbol{\sigma}' = \boldsymbol{\sigma} \quad \text{except:} \\ @@ -1126,7 +1126,7 @@ \subsection{Reward Application} If there are collisions of the beneficiary addresses between ommers and the block (i.e. two ommers with the same beneficiary address or an ommer with the same beneficiary address as the present block), additions are applied cumulatively. -\hypertarget{block_reward_R__block}{}We define the block reward as 3 Ether: +\hypertarget{block_reward_R__block}{}\linkdest{R__block}We define the block reward as 3 Ether: \begin{equation} \text{Let} \quad R_{\mathrm{block}} = 3 \times 10^{18} \end{equation} From 0dd3eb7168681d9c31c1a239c94e30df5ba7d607 Mon Sep 17 00:00:00 2001 From: James Ray <16969914+jamesray1@users.noreply.github.com> Date: Sat, 17 Feb 2018 17:48:44 +1100 Subject: [PATCH 2/2] Fix a link --- Paper.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Paper.tex b/Paper.tex index ac81f83b..91281792 100644 --- a/Paper.tex +++ b/Paper.tex @@ -1110,7 +1110,7 @@ \subsection{Transaction Validation} \subsection{Reward Application} -The application of rewards to a block involves raising the balance of the accounts of the beneficiary address of the block and each ommer by a certain amount. We raise the block's beneficiary account by \hyperlink{$R_{\mathrm{block}}$}; for each ommer, we raise the block's beneficiary by an additional $\frac{1}{32}$ of the block reward and the beneficiary of the ommer gets rewarded depending on the block number.\hypertarget{Omega}{} Formally we define the function $\Omega$: +The application of rewards to a block involves raising the balance of the accounts of the beneficiary address of the block and each ommer by a certain amount. We raise the block's beneficiary account by \hyperlink{R__block}{$R_{\mathrm{block}}$}; for each ommer, we raise the block's beneficiary by an additional $\frac{1}{32}$ of the block reward and the beneficiary of the ommer gets rewarded depending on the block number.\hypertarget{Omega}{} Formally we define the function $\Omega$: \begin{eqnarray} \\ \nonumber \Omega(B, \boldsymbol{\sigma}) & \equiv & \boldsymbol{\sigma}': \boldsymbol{\sigma}' = \boldsymbol{\sigma} \quad \text{except:} \\