Height: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2013-08-31 04:16:33 UTC</tt>.<br>

: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2013-08-31 04:29:33 UTC</tt>.<br>

: The original revision id was <tt>~~447771978~~</tt>.<br>

: The original revision id was <tt>447772754</tt>.<br>

: The revision comment was: <tt></tt><br>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>

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n d

[[math]] || [[math]]

2^{T1 \~~left( {~~q} ~~\right)~~}

2^{\|q\|}_{T1}

[[math]] || [[math]]

T1 \~~left(~~ {q} ~~\right)~~

\|q\|_{T1}

[[math]] ||

|| Weil Height || Height || [[math]]

\max \left( {n , d} \right)

[[math]] || [[math]]

2^{\~~dfrac~~{T1 \~~left~~( {q} \~~right) + |~~ \log_2 \~~left( {~~q} \~~right~~) ~~|} {2~~}}

2^{\large{\frac{1}{2}(\|q\|_{T1} + \mid \log_2(\mid q \mid)\mid)}}

[[math]] || [[math]]

T1 \~~left(~~ {q} \~~right) + |~~ \log_2 \~~left( {~~q} \~~right~~) |

\|q\|_{T1} + \mid \log_2(\mid q \mid)\mid

[[math]] ||

|| Arithmetic Height || Height || [[math]]

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<td><!-- ws:start:WikiTextMathRule:5:

[[math]]&lt;br/&gt;

2^{T1 \~~left( {~~q} ~~\right)~~}&lt;br/&gt;[[math]]

2^{\|q\|}_{T1}&lt;br/&gt;[[math]]

--><script type="math/tex">2^{T1 \~~left( {~~q} ~~\right)~~}</script><br />

--><script type="math/tex">2^{\|q\|}_{T1}</script><br />

</td>

<td><!-- ws:start:WikiTextMathRule:6:

[[math]]&lt;br/&gt;

T1 \~~left(~~ {q} ~~\right)~~&lt;br/&gt;[[math]]

\|q\|_{T1}&lt;br/&gt;[[math]]

--><script type="math/tex">T1 \~~left(~~ {q} ~~\right)~~</script><br />

--><script type="math/tex">\|q\|_{T1}</script><br />

</td>

</tr>

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<td><!-- ws:start:WikiTextMathRule:8:

[[math]]&lt;br/&gt;

2^{\~~dfrac~~{T1 \~~left~~( {q} \~~right) + |~~ \log_2 \~~left( {~~q} \~~right~~) ~~|} {2~~}}&lt;br/&gt;[[math]]

2^{\large{\frac{1}{2}(\|q\|_{T1} + \mid \log_2(\mid q \mid)\mid)}}&lt;br/&gt;[[math]]

--><script type="math/tex">2^{\~~dfrac~~{T1 \~~left~~( {q} \~~right) + |~~ \log_2 \~~left( {~~q} \~~right~~) ~~|} {2~~}}</script><br />

--><script type="math/tex">2^{\large{\frac{1}{2}(\|q\|_{T1} + \mid \log_2(\mid q \mid)\mid)}}</script><br />

</td>

<td><!-- ws:start:WikiTextMathRule:9:

[[math]]&lt;br/&gt;

T1 \~~left(~~ {q} \~~right) + |~~ \log_2 \~~left( {~~q} \~~right~~) |&lt;br/&gt;[[math]]

\|q\|_{T1} + \mid \log_2(\mid q \mid)\mid&lt;br/&gt;[[math]]

--><script type="math/tex">T1 \~~left(~~ {q} \~~right) + |~~ \log_2 \~~left( {~~q} \~~right~~) |</script><br />

--><script type="math/tex">\|q\|_{T1} + \mid \log_2(\mid q \mid)\mid</script><br />

</td>

</tr>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2013-08-31 04:16:33 UTC</tt>.<br>
+: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2013-08-31 04:29:33 UTC</tt>.<br>
-: The original revision id was <tt>447771978</tt>.<br>
+: The original revision id was <tt>447772754</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 43: / Line 43: @@
 n d
 [[math]] || [[math]]
-^{T1 \left( {q} \right)}
+^{\|q\|}_{T1}
 [[math]] || [[math]]
-T1 \left( {q} \right)
+\|q\|_{T1}
 [[math]] ||
 || Weil Height || Height || [[math]]
 \max \left( {n , d} \right)
 [[math]] || [[math]]
-^{\dfrac{T1 \left( {q} \right) + | \log_2 \left( {q} \right) |} {2}}
+^{\large{\frac{1}{2}(\|q\|_{T1} + \mid \log_2(\mid q \mid)\mid)}}
 [[math]] || [[math]]
-T1 \left( {q} \right) + | \log_2 \left( {q} \right) |
+\|q\|_{T1} + \mid \log_2(\mid q \mid)\mid
 [[math]] ||
 || Arithmetic Height || Height || [[math]]
@@ Line 151: / Line 151: @@
          &lt;td&gt;&lt;!-- ws:start:WikiTextMathRule:5:
 [[math]]&amp;lt;br/&amp;gt;
-^{T1 \left( {q} \right)}&amp;lt;br/&amp;gt;[[math]]
+^{\|q\|}_{T1}&amp;lt;br/&amp;gt;[[math]]
-  --&gt;&lt;script type="math/tex"&gt;2^{T1 \left( {q} \right)}&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:5 --&gt;&lt;br /&gt;
+  --&gt;&lt;script type="math/tex"&gt;2^{\|q\|}_{T1}&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:5 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;!-- ws:start:WikiTextMathRule:6:
 [[math]]&amp;lt;br/&amp;gt;
-T1 \left( {q} \right)&amp;lt;br/&amp;gt;[[math]]
+\|q\|_{T1}&amp;lt;br/&amp;gt;[[math]]
-  --&gt;&lt;script type="math/tex"&gt;T1 \left( {q} \right)&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:6 --&gt;&lt;br /&gt;
+  --&gt;&lt;script type="math/tex"&gt;\|q\|_{T1}&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:6 --&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 172: / Line 172: @@
          &lt;td&gt;&lt;!-- ws:start:WikiTextMathRule:8:
 [[math]]&amp;lt;br/&amp;gt;
-^{\dfrac{T1 \left( {q} \right) + | \log_2 \left( {q} \right) |} {2}}&amp;lt;br/&amp;gt;[[math]]
+^{\large{\frac{1}{2}(\|q\|_{T1} + \mid \log_2(\mid q \mid)\mid)}}&amp;lt;br/&amp;gt;[[math]]
-  --&gt;&lt;script type="math/tex"&gt;2^{\dfrac{T1 \left( {q} \right) + | \log_2 \left( {q} \right) |} {2}}&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:8 --&gt;&lt;br /&gt;
+  --&gt;&lt;script type="math/tex"&gt;2^{\large{\frac{1}{2}(\|q\|_{T1} + \mid \log_2(\mid q \mid)\mid)}}&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:8 --&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;!-- ws:start:WikiTextMathRule:9:
 [[math]]&amp;lt;br/&amp;gt;
-T1 \left( {q} \right) + | \log_2 \left( {q} \right) |&amp;lt;br/&amp;gt;[[math]]
+\|q\|_{T1} + \mid \log_2(\mid q \mid)\mid&amp;lt;br/&amp;gt;[[math]]
-  --&gt;&lt;script type="math/tex"&gt;T1 \left( {q} \right) + | \log_2 \left( {q} \right) |&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:9 --&gt;&lt;br /&gt;
+  --&gt;&lt;script type="math/tex"&gt;\|q\|_{T1} + \mid \log_2(\mid q \mid)\mid&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:9 --&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;