[systemds] branch master updated: [MINOR][DOC] Fix latex format and header

[ja...@apache.org]

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janardhan pushed a commit to branch master
in repository https://gitbox.apache.org/repos/asf/systemds.git


The following commit(s) were added to refs/heads/master by this push:
     new 6807cca  [MINOR][DOC] Fix latex format and header
6807cca is described below

commit 6807cca3c64682c88464aefb972e995a246871de
Author: Janardhan Pulivarthi <j1...@protonmail.com>
AuthorDate: Tue May 4 13:41:18 2021 +0530

    [MINOR][DOC] Fix latex format and header
---
 docs/_includes/header.html  |  1 +
 docs/site/dml-vs-r-guide.md | 10 ++++++----
 2 files changed, 7 insertions(+), 4 deletions(-)

diff --git a/docs/_includes/header.html b/docs/_includes/header.html
index 874d0cf..82506e1 100644
--- a/docs/_includes/header.html
+++ b/docs/_includes/header.html
@@ -47,6 +47,7 @@ limitations under the License.
                         <li><b>Language Guides:</b></li>
                         <li><a href=".{% if page.path contains 'site' %}/..{% endif %}/site/dml-language-reference.html">DML Language Reference</a></li>
                         <li><a href=".{% if page.path contains 'site' %}/..{% endif %}/site/builtins-reference.html">Built-in Functions Reference</a></li>
+                        <li><a href=".{% if page.path contains 'site' %}/..{% endif %}/site/dml-vs-r-guide.html">DML vs R guide</a></li>
                         <li class="divider"></li>
                         <li><b>ML Algorithms:</b></li>
                         <li><a href=".{% if page.path contains 'site' %}/..{% endif %}/site/algorithms-reference.html">Algorithms Reference</a></li>
diff --git a/docs/site/dml-vs-r-guide.md b/docs/site/dml-vs-r-guide.md
index 4b8664d..dbf62e6 100644
--- a/docs/site/dml-vs-r-guide.md
+++ b/docs/site/dml-vs-r-guide.md
@@ -217,6 +217,7 @@ Given lower triangular matrix L, we compute its inverse X which is also lower tr
 both matrices in the middle into 4 blocks (in a 2x2 fashion), and multiplying them together to get
 the identity matrix:
 
+$$
 \begin{equation}
 L \text{ %*% } X = \left(\begin{matrix} L_1 & 0 \\ L_2 & L_3 \end{matrix}\right)
 \text{ %*% } \left(\begin{matrix} X_1 & 0 \\ X_2 & X_3 \end{matrix}\right)
@@ -224,26 +225,27 @@ L \text{ %*% } X = \left(\begin{matrix} L_1 & 0 \\ L_2 & L_3 \end{matrix}\right)
 = \left(\begin{matrix} I & 0 \\ 0 & I \end{matrix}\right)
 \nonumber
 \end{equation}
+$$
 
 If we multiply blockwise, we get three equations: 
 
-$
+$$
 \begin{equation}
 L1 \text{ %*% } X1 = 1\\ 
 L3 \text{ %*% } X3 = 1\\
 L2 \text{ %*% } X1 + L3 \text{ %*% } X2 = 0\\
 \end{equation}
-$
+$$
 
 Solving these equation gives the following formulas for X:
 
-$
+$$
 \begin{equation}
 X1 = inv(L1) \\
 X3 = inv(L3) \\
 X2 = - X3 \text{ %*% } L2 \text{ %*% } X1 \\
 \end{equation}
-$
+$$
 
 If we already recursively inverted L1 and L3, we can invert L2.  This suggests an algorithm
 that starts at the diagonal and iterates away from the diagonal, involving bigger and bigger