The Riemann zeta function and tuning: Difference between revisions
Wikispaces>genewardsmith **Imported revision 216383156 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 216383398 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-04-01 23: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-04-01 23:02:48 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>216383398</tt>.<br> | ||
: The revision comment was: <tt></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> | 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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Consider to start out with [[Tenney-Eucliedan metrics|Tenney-Euclidean error]]. For some [[equal]] division N in the [[p-limit]], this can be defined as the square root of the quantity | Consider to start out with [[Tenney-Eucliedan metrics|Tenney-Euclidean error]]. For some [[equal]] division N in the [[p-limit]], this can be defined as the square root of the quantity | ||
[[math]] | [[math]] | ||
\sum_{q prime \ | \sum_{q prime \leq p} (\frac{E(q){\ln q})^2 | ||
[[math]] | [[math]] | ||
where E(q) is the error | where E(q) is the error | ||
[[math]] \frac{b}{N} - \ | [[math]] \frac{b}{N} - \log_2 q [[math]] | ||
of the [[patent val]] tuning, meaning the nearest to q, of the prime q.</pre></div> | of the [[patent val]] tuning, meaning the nearest to q, of the prime q.</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
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<!-- ws:start:WikiTextMathRule:0: | <!-- ws:start:WikiTextMathRule:0: | ||
[[math]]&lt;br/&gt; | [[math]]&lt;br/&gt; | ||
\sum_{q prime \ | \sum_{q prime \leq p} (\frac{E(q){\ln q})^2&lt;br/&gt;[[math]] | ||
--><script type="math/tex">\sum_{q prime \ | --><script type="math/tex">\sum_{q prime \leq p} (\frac{E(q){\ln q})^2</script><!-- ws:end:WikiTextMathRule:0 --><br /> | ||
where E(q) is the error <br /> | where E(q) is the error <br /> | ||
<a class="wiki_link" href="/math">math</a> \frac{b}{N} - \ | <a class="wiki_link" href="/math">math</a> \frac{b}{N} - \log_2 q <a class="wiki_link" href="/math">math</a> <br /> | ||
of the <a class="wiki_link" href="/patent%20val">patent val</a> tuning, meaning the nearest to q, of the prime q.</body></html></pre></div> | of the <a class="wiki_link" href="/patent%20val">patent val</a> tuning, meaning the nearest to q, of the prime q.</body></html></pre></div> | ||