From d0625170e763dcdd8cbd74f13455b18dcd87e450 Mon Sep 17 00:00:00 2001
From: mhjensen <morten.hjorth-jensen@fys.uio.no>
Date: Fri, 24 Aug 2018 06:45:18 +0200
Subject: [PATCH] Updating typo in statistics slides

---
 .../Statistics/html/._Statistics-bs015.html   |   4 ++--
 .../Statistics/html/Statistics-reveal.html    |   4 ++--
 .../Statistics/html/Statistics-solarized.html |   4 ++--
 doc/pub/Statistics/html/Statistics.html       |   4 ++--
 doc/pub/Statistics/ipynb                      | Bin 213 -> 213 bytes
 .../pdf/Statistics-beamer-handouts2x3.pdf     | Bin 502234 -> 502234 bytes
 doc/pub/Statistics/pdf/Statistics-beamer.pdf  | Bin 451960 -> 451960 bytes
 doc/pub/Statistics/pdf/Statistics-minted.pdf  | Bin 409633 -> 409633 bytes
 doc/src/Statistics/Statistics.do.txt          |   4 ++--
 9 files changed, 10 insertions(+), 10 deletions(-)

diff --git a/doc/pub/Statistics/html/._Statistics-bs015.html b/doc/pub/Statistics/html/._Statistics-bs015.html
index db2425a82..f6483ad2a 100644
--- a/doc/pub/Statistics/html/._Statistics-bs015.html
+++ b/doc/pub/Statistics/html/._Statistics-bs015.html
@@ -411,8 +411,8 @@ while \( P(x) \) is the cumulative probability.
 <tr><td align="left">   Domain           </td> <td align="center">   \( \left\{x_1, x_2, x_3, \dots, x_N\right\} \)    </td> <td align="center">   \( [a,b] \)                                     </td> </tr>
 <tr><td align="left">   Probability      </td> <td align="center">   \( p(x_i) \)                                      </td> <td align="center">   \( p(x)dx \)                                    </td> </tr>
 <tr><td align="left">   Cumulative       </td> <td align="center">   \( P_i=\sum_{l=1}^ip(x_l) \)                      </td> <td align="center">   \( P(x)=\int_a^xp(t)dt \)                       </td> </tr>
-<tr><td align="left">   Positivity       </td> <td align="center">   $ 0 \le p(x_i) \le 1$                             </td> <td align="center">   $ p(x) \ge 0$                                   </td> </tr>
-<tr><td align="left">   Positivity       </td> <td align="center">   $ 0 \le P_i \le 1$                                </td> <td align="center">   $ 0 \le P(x) \le 1$                             </td> </tr>
+<tr><td align="left">   Positivity       </td> <td align="center">   \( 0 \le p(x_i) \le 1 \)                          </td> <td align="center">   \( p(x) \ge 0 \)                                </td> </tr>
+<tr><td align="left">   Positivity       </td> <td align="center">   \( 0 \le P_i \le 1 \)                             </td> <td align="center">   \( 0 \le P(x) \le 1 \)                          </td> </tr>
 <tr><td align="left">   Monotonic        </td> <td align="center">   \( P_i \ge P_j \) if \( x_i \ge x_j \)            </td> <td align="center">   \( P(x_i) \ge P(x_j) \) if \( x_i \ge x_j \)    </td> </tr>
 <tr><td align="left">   Normalization    </td> <td align="center">   \( P_N=1 \)                                       </td> <td align="center">   \( P(b)=1 \)                                    </td> </tr>
 </tbody>
diff --git a/doc/pub/Statistics/html/Statistics-reveal.html b/doc/pub/Statistics/html/Statistics-reveal.html
index c80275c6a..9faf2ca63 100644
--- a/doc/pub/Statistics/html/Statistics-reveal.html
+++ b/doc/pub/Statistics/html/Statistics-reveal.html
@@ -616,8 +616,8 @@ while \( P(x) \) is the cumulative probability.
 <tr><td align="left">   Domain           </td> <td align="center">   \( \left\{x_1, x_2, x_3, \dots, x_N\right\} \)    </td> <td align="center">   \( [a,b] \)                                     </td> </tr>
 <tr><td align="left">   Probability      </td> <td align="center">   \( p(x_i) \)                                      </td> <td align="center">   \( p(x)dx \)                                    </td> </tr>
 <tr><td align="left">   Cumulative       </td> <td align="center">   \( P_i=\sum_{l=1}^ip(x_l) \)                      </td> <td align="center">   \( P(x)=\int_a^xp(t)dt \)                       </td> </tr>
-<tr><td align="left">   Positivity       </td> <td align="center">   $ 0 \le p(x_i) \le 1$                             </td> <td align="center">   $ p(x) \ge 0$                                   </td> </tr>
-<tr><td align="left">   Positivity       </td> <td align="center">   $ 0 \le P_i \le 1$                                </td> <td align="center">   $ 0 \le P(x) \le 1$                             </td> </tr>
+<tr><td align="left">   Positivity       </td> <td align="center">   \( 0 \le p(x_i) \le 1 \)                          </td> <td align="center">   \( p(x) \ge 0 \)                                </td> </tr>
+<tr><td align="left">   Positivity       </td> <td align="center">   \( 0 \le P_i \le 1 \)                             </td> <td align="center">   \( 0 \le P(x) \le 1 \)                          </td> </tr>
 <tr><td align="left">   Monotonic        </td> <td align="center">   \( P_i \ge P_j \) if \( x_i \ge x_j \)            </td> <td align="center">   \( P(x_i) \ge P(x_j) \) if \( x_i \ge x_j \)    </td> </tr>
 <tr><td align="left">   Normalization    </td> <td align="center">   \( P_N=1 \)                                       </td> <td align="center">   \( P(b)=1 \)                                    </td> </tr>
 </tbody>
diff --git a/doc/pub/Statistics/html/Statistics-solarized.html b/doc/pub/Statistics/html/Statistics-solarized.html
index 4a9e98699..2f6f54cc5 100644
--- a/doc/pub/Statistics/html/Statistics-solarized.html
+++ b/doc/pub/Statistics/html/Statistics-solarized.html
@@ -748,8 +748,8 @@ while \( P(x) \) is the cumulative probability.
 <tr><td align="left">   Domain           </td> <td align="center">   \( \left\{x_1, x_2, x_3, \dots, x_N\right\} \)    </td> <td align="center">   \( [a,b] \)                                     </td> </tr>
 <tr><td align="left">   Probability      </td> <td align="center">   \( p(x_i) \)                                      </td> <td align="center">   \( p(x)dx \)                                    </td> </tr>
 <tr><td align="left">   Cumulative       </td> <td align="center">   \( P_i=\sum_{l=1}^ip(x_l) \)                      </td> <td align="center">   \( P(x)=\int_a^xp(t)dt \)                       </td> </tr>
-<tr><td align="left">   Positivity       </td> <td align="center">   $ 0 \le p(x_i) \le 1$                             </td> <td align="center">   $ p(x) \ge 0$                                   </td> </tr>
-<tr><td align="left">   Positivity       </td> <td align="center">   $ 0 \le P_i \le 1$                                </td> <td align="center">   $ 0 \le P(x) \le 1$                             </td> </tr>
+<tr><td align="left">   Positivity       </td> <td align="center">   \( 0 \le p(x_i) \le 1 \)                          </td> <td align="center">   \( p(x) \ge 0 \)                                </td> </tr>
+<tr><td align="left">   Positivity       </td> <td align="center">   \( 0 \le P_i \le 1 \)                             </td> <td align="center">   \( 0 \le P(x) \le 1 \)                          </td> </tr>
 <tr><td align="left">   Monotonic        </td> <td align="center">   \( P_i \ge P_j \) if \( x_i \ge x_j \)            </td> <td align="center">   \( P(x_i) \ge P(x_j) \) if \( x_i \ge x_j \)    </td> </tr>
 <tr><td align="left">   Normalization    </td> <td align="center">   \( P_N=1 \)                                       </td> <td align="center">   \( P(b)=1 \)                                    </td> </tr>
 </tbody>
diff --git a/doc/pub/Statistics/html/Statistics.html b/doc/pub/Statistics/html/Statistics.html
index 17bb69ebf..69ed6b58c 100644
--- a/doc/pub/Statistics/html/Statistics.html
+++ b/doc/pub/Statistics/html/Statistics.html
@@ -753,8 +753,8 @@ while \( P(x) \) is the cumulative probability.
 <tr><td align="left">   Domain           </td> <td align="center">   \( \left\{x_1, x_2, x_3, \dots, x_N\right\} \)    </td> <td align="center">   \( [a,b] \)                                     </td> </tr>
 <tr><td align="left">   Probability      </td> <td align="center">   \( p(x_i) \)                                      </td> <td align="center">   \( p(x)dx \)                                    </td> </tr>
 <tr><td align="left">   Cumulative       </td> <td align="center">   \( P_i=\sum_{l=1}^ip(x_l) \)                      </td> <td align="center">   \( P(x)=\int_a^xp(t)dt \)                       </td> </tr>
-<tr><td align="left">   Positivity       </td> <td align="center">   $ 0 \le p(x_i) \le 1$                             </td> <td align="center">   $ p(x) \ge 0$                                   </td> </tr>
-<tr><td align="left">   Positivity       </td> <td align="center">   $ 0 \le P_i \le 1$                                </td> <td align="center">   $ 0 \le P(x) \le 1$                             </td> </tr>
+<tr><td align="left">   Positivity       </td> <td align="center">   \( 0 \le p(x_i) \le 1 \)                          </td> <td align="center">   \( p(x) \ge 0 \)                                </td> </tr>
+<tr><td align="left">   Positivity       </td> <td align="center">   \( 0 \le P_i \le 1 \)                             </td> <td align="center">   \( 0 \le P(x) \le 1 \)                          </td> </tr>
 <tr><td align="left">   Monotonic        </td> <td align="center">   \( P_i \ge P_j \) if \( x_i \ge x_j \)            </td> <td align="center">   \( P(x_i) \ge P(x_j) \) if \( x_i \ge x_j \)    </td> </tr>
 <tr><td align="left">   Normalization    </td> <td align="center">   \( P_N=1 \)                                       </td> <td align="center">   \( P(b)=1 \)                                    </td> </tr>
 </tbody>
diff --git a/doc/pub/Statistics/ipynb b/doc/pub/Statistics/ipynb
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diff --git a/doc/pub/Statistics/pdf/Statistics-beamer-handouts2x3.pdf b/doc/pub/Statistics/pdf/Statistics-beamer-handouts2x3.pdf
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diff --git a/doc/pub/Statistics/pdf/Statistics-beamer.pdf b/doc/pub/Statistics/pdf/Statistics-beamer.pdf
index 896e1f2eac3de2b88f26aff7045e90da1804e8fa..bd16717a3fd014a18a93d397a033cf1bd89cce54 100644
GIT binary patch
delta 115
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m$;rjY+0e+z(!$LQh+WJK4O|TkP2B7hYzQdXUUr9#i4y=XP9Tf`

delta 115
zcmexyO8Uns>4p}@7N!>F7M2#)Eo_D7S&U7LjHj2LXOjoBw$C`vHiyT_(AdJn%+k%#
n&A`&c#K_gf$;8Ro!qVB?!pPjj%+cJ<PQiwNlI>-8*qAs0DAgc>

diff --git a/doc/pub/Statistics/pdf/Statistics-minted.pdf b/doc/pub/Statistics/pdf/Statistics-minted.pdf
index 346e7bb98faa2fdc30a3fe0ab7fab9697958faa4..24344c9bd0de645010dffe11f887eb92380dc776 100644
GIT binary patch
delta 116
zcmZ43Ai1zXvY~~sg{g(Pg{6gc3tN;Xi;0P;@$@)NHhC~>d!r`XT|s9P6IUZ+XEQ?!
nGbdALLkkyUBTFL_17}wgQ%g4^V>f3z1sg(2wlB11YhVEY0aqPW

delta 116
zcmZ43Ai1zXvY~~sg{g(Pg{6gc3tN;Xi?NA`<@7jBHhC~>d!r`XT|sA8H#b95XG2pn
nQ%55MQ#VH!H&bI*OG_s=7dJO27gIAk1sg(2wlB11YhVEYDViQn

diff --git a/doc/src/Statistics/Statistics.do.txt b/doc/src/Statistics/Statistics.do.txt
index 1d4b9aa3e..bd9a121bc 100644
--- a/doc/src/Statistics/Statistics.do.txt
+++ b/doc/src/Statistics/Statistics.do.txt
@@ -332,8 +332,8 @@ while $P(x)$ is the cumulative probability.
 | Domain                                     | $\left\{x_1, x_2, x_3, \dots, x_N\right\}$ | $[a,b]$                                    |
 | Probability                                | $p(x_i)$                                   | $p(x)dx$                                   |
 | Cumulative                                 | $P_i=\sum_{l=1}^ip(x_l)$                   | $P(x)=\int_a^xp(t)dt$                      |
-| Positivity                                 | $ 0 \le p(x_i) \le 1$                      | $ p(x) \ge 0$                              |
-| Positivity                                 | $ 0 \le P_i \le 1$                         | $ 0 \le P(x) \le 1$                        |
+| Positivity                                 | $0 \le p(x_i) \le 1$                      | $p(x) \ge 0$                              |
+| Positivity                                 | $0 \le P_i \le 1$                         | $0 \le P(x) \le 1$                        |
 | Monotonic                                  | $P_i \ge P_j$ if $x_i \ge x_j$             | $P(x_i) \ge P(x_j)$ if $x_i \ge x_j$       |
 | Normalization                              | $P_N=1$                                    | $P(b)=1$                                   |
 |--------------------------------------------------------------------------------------------------------------------------------------|