Hypertargets for Omega, block-reward-R-b, Gamma, Phi and Pi #476

jamesray1 · 2018-01-25T01:14:05Z

No description provided.

pirapira · 2018-01-25T17:32:51Z

Paper.tex

@@ -1107,14 +1107,14 @@ \subsection{Reward Application}
 R & \equiv & (1 + \frac{1}{8} (U_i - {B_H}_i)) R_b
 \end{eqnarray}

-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.
+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-b}{block-reward-R-b}


Why isn't the target on the next equation?

I replied to the same question in another PR.

pirapira · 2018-01-25T17:33:29Z

Paper.tex

@@ -1124,7 +1124,7 @@ \subsection{State \& Nonce Validation}\label{sec:statenoncevalidation}
 \end{cases}
 \end{equation}

-Here, $\mathtt{\small TRIE}(L_S(\boldsymbol{\sigma}_i))$ means the hash of the root node of a trie of state $\boldsymbol{\sigma}_i$; it is assumed that implementations will store this in the state database, trivial and efficient since the trie is by nature an immutable data structure.
+Here, $\mathtt{\small TRIE}(L_S(\boldsymbol{\sigma}_i))$ means the hash of the root node of a trie of state $\boldsymbol{\sigma}_i$; it is assumed that implementations will store this in the state database, trivial and efficient since the trie is by nature an immutable data structure.\hypertarget{Phi}{Phi}


Why isn't the target in the next paragraph?

pirapira · 2018-01-25T17:33:54Z

Paper.tex

@@ -1160,7 +1160,7 @@ \subsection{State \& Nonce Validation}\label{sec:statenoncevalidation}
 We define $\mathbf{R}[n]_{s'}$ in a similar manner.
 \begin{equation}
 \mathbf{R}[n]_{s'} =
-\Upsilon^{s}(\boldsymbol{\sigma}[n - 1], B_\mathbf{T}[n])
+\Upsilon^{s}(\boldsymbol{\sigma}[n - 1], B_\mathbf{T}[n])\hypertarget{Pi}{Pi}


Why isn't the target in the next paragraph, where \Pi is defined?

pirapira · 2018-01-29T11:14:41Z

Please use the newly defined \linkdest macro and move each target to the next line.

…nkdest where not in text mode

pirapira · 2018-01-30T10:41:53Z

Paper.tex

@@ -1093,7 +1093,7 @@ \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 $R_b$; 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. 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 $R_b$; 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}{Omega} Formally we define the function $\Omega$:


Should be \hypertarget{Omega}{}.

pirapira · 2018-01-30T10:42:07Z

Paper.tex

@@ -1109,14 +1109,14 @@ \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.

-We define the block reward as 3 Ether:
+\hypertarget{block-reward-R-b}{block-reward-R-b}We define the block reward as 3 Ether:


Similarly, the second argument should be empty.

pirapira · 2018-01-30T10:42:20Z

Paper.tex

 \begin{equation}
 \text{Let} \quad R_b = 3 \times 10^{18}
 \end{equation}

 \subsection{State \& Nonce Validation}\label{sec:statenoncevalidation}

-We may now define the function, $\Gamma$, that maps a block $B$ to its initiation state:
+\hypertarget{Gamma}{Gamma}We may now define the function, $\Gamma$, that maps a block $B$ to its initiation state:


Also here, the second argument should be empty.

pirapira · 2018-01-30T10:42:27Z

Paper.tex

@@ -1126,7 +1126,7 @@ \subsection{State \& Nonce Validation}\label{sec:statenoncevalidation}

 Here, $\mathtt{\small TRIE}(L_S(\boldsymbol{\sigma}_i))$ means the hash of the root node of a trie of state $\boldsymbol{\sigma}_i$; it is assumed that implementations will store this in the state database, trivial and efficient since the trie is by nature an immutable data structure.

-And finally define $\Phi$, the block transition function, which maps an incomplete block $B$ to a complete block $B'$:
+\hypertarget{Phi}{Phi}And finally define $\Phi$, the block transition function, which maps an incomplete block $B$ to a complete block $B'$:


pirapira · 2018-01-30T10:42:35Z

Paper.tex

@@ -1163,7 +1163,7 @@ \subsection{State \& Nonce Validation}\label{sec:statenoncevalidation}
 \Upsilon^{s}(\boldsymbol{\sigma}[n - 1], B_\mathbf{T}[n])
 \end{equation}

-Finally, we define $\Pi$ as the new state given the block reward function $\Omega$ applied to the final transaction's resultant state, $\ell(\boldsymbol{\sigma})$:
+\hypertarget{Pi}{Pi}Finally, we define $\Pi$ as the new state given the block reward function $\Omega$ applied to the final transaction's resultant state, $\ell(\boldsymbol{\sigma})$:


And here, too.

pirapira

Looks good to me.

Hypertargets for Omega, block-reward-R-b, Gamma, Phi and Pi

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pirapira reviewed Jan 25, 2018

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pirapira suggested changes Jan 25, 2018

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hypertarget: move to the same line as the targeted text, change to li…

7fa433e

…nkdest where not in text mode

pirapira suggested changes Jan 30, 2018

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jamesray1 added 5 commits February 2, 2018 10:36

\hypertarget{Omega}{}

d8dcac6

\hypertarget{block_reward_R__b}{}

0d6d19d

\hypertarget{Gamma}{}

0773ff0

\hypertarget{Phi}{}

e790839

\hypertarget{Pi}{}

e3fd37d

pirapira approved these changes Feb 2, 2018

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pirapira merged commit a015408 into ethereum:master Feb 2, 2018

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Hypertargets for Omega, block-reward-R-b, Gamma, Phi and Pi #476

Hypertargets for Omega, block-reward-R-b, Gamma, Phi and Pi #476

jamesray1 commented Jan 25, 2018

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Hypertargets for Omega, block-reward-R-b, Gamma, Phi and Pi #476

Hypertargets for Omega, block-reward-R-b, Gamma, Phi and Pi #476

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jamesray1 commented Jan 25, 2018

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pirapira commented Jan 29, 2018

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