Fix math problems with rst

This commit is contained in:
Alejandro Gallo 2022-03-14 01:03:39 +01:00
parent c6eb805078
commit a2470048fb

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@ -55,11 +55,13 @@ As an example, for the doubles amplitudes \( T^{ab}_{ij} \), one need two kinds
** Location
Every slice set, for instance,
\( S_k = \left\{
$$
S_k = \left\{
a \mapsto \mathsf{T}(a)^{b}_{ij}
\mid
a \in A_k
\right\} \)
\right\}
$$
where \( A_k \) is some subset of
\( \mathsf{N}_\mathrm{v} \),
gets stored in some rank \( k \).
@ -81,17 +83,17 @@ is therefore a simple structure:
Due to the permutation operators in the equations
it is noticeable that for every one dimensional
slice and triple \( (a,b,c) \)
\begin{equation*}
$$
a \mapsto \mathsf{t}(a)
\end{equation*}
$$
one needs at the same time
\( \mathsf{t}(a) \),
\( \mathsf{t}(b) \) and
\( \mathsf{t}(c) \).
For two dimensional slices, i.e., slices of the form
\begin{equation*}
$$
(a,b) \mapsto \mathsf{t}(a,b)
\end{equation*}
$$
one needs in the equations the slices
\( \mathsf{t}(a,b) \),
\( \mathsf{t}(b,c) \) and
@ -1685,10 +1687,8 @@ three for loops creating tuples of the sort
\)
This means,
\( (1, 2, 3)
, (1, 1, 3)
, (1, 2, 2)
\) are acceptable tuples wherease \( (2, 1, 1) \) and \( (1, 1, 1) \) are not.
\( (1, 2, 3) , (1, 1, 3) , (1, 2, 2) \)
are acceptable tuples wherease \( (2, 1, 1) \) and \( (1, 1, 1) \) are not.
#+begin_src c++ :tangle (atrip-tuples-h)
@ -2144,7 +2144,7 @@ Every rank gets =tuplesPerRankLocal= tuples and
the =nodeTuples= vector is now homogeneous and divisible by the number
of ranks per node in our node.
Therefore, the =displacements= are simply the vector
\begin{equation*}
$$
\left\{
k * \mathrm{tuplesPerNodeLocal}
\mid
@ -2154,7 +2154,7 @@ Therefore, the =displacements= are simply the vector
, \#\text{ranks in node} - 1
\right\}
\right\}
\end{equation*}
$$
and the =sendCounts= vector is simply the constant vector
=tuplesPerRankLocal= of size =ranksPerNode=.