https://en.formulasearchengine.com/index.php?action=history&feed=atom&title=Integer_lattice 2026-04-17T21:25:55Z Revision history for this page on the wiki MediaWiki 1.43.0-wmf.28 https://en.formulasearchengine.com/index.php?title=Integer_lattice&diff=245173&oldid=prev 2014-02-28T03:12:42Z

<p>inserting 1 <a href="/index.php?title=Hyphen&amp;action=edit&amp;redlink=1" class="new" title="Hyphen (page does not exist)">hyphen</a>: —&gt; &quot;three-dimensional&quot;—<a href="https://en.wiktionary.org/wiki/three-dimensional" class="extiw" title="wikt:three-dimensional">wikt:three-dimensional</a></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 05:12, 28 February 2014</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">The '''Nash–Sutcliffe model efficiency coefficient''' </del>is <del style="font-weight: bold; text-decoration: none;">used to assess </del>the <del style="font-weight: bold; text-decoration: none;">predictive power </del>of <del style="font-weight: bold; text-decoration: none;">[[hydrology|hydrological]] models. It </del>is <del style="font-weight: bold; text-decoration: none;">defined as:</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Let me first begin by introducing myself. My title </ins>is <ins style="font-weight: bold; text-decoration: none;">Boyd Butts even though it is not </ins>the <ins style="font-weight: bold; text-decoration: none;">name on my beginning certificate. One </ins>of <ins style="font-weight: bold; text-decoration: none;">the very very best things in the globe for him </ins>is <ins style="font-weight: bold; text-decoration: none;">to collect badges but he </ins>is <ins style="font-weight: bold; text-decoration: none;">having difficulties to discover </ins>time <ins style="font-weight: bold; text-decoration: none;">for it</ins>. <ins style="font-weight: bold; text-decoration: none;">Her </ins>[http://<ins style="font-weight: bold; text-decoration: none;">www</ins>.<ins style="font-weight: bold; text-decoration: none;">3fatchicks</ins>.<ins style="font-weight: bold; text-decoration: none;">com</ins>/<ins style="font-weight: bold; text-decoration: none;">5-harmful</ins>-<ins style="font-weight: bold; text-decoration: none;">types</ins>-of<ins style="font-weight: bold; text-decoration: none;">-bacteria/ husband</ins>] <ins style="font-weight: bold; text-decoration: none;"> </ins>[<ins style="font-weight: bold; text-decoration: none;">http://Www.Picsearch</ins>.<ins style="font-weight: bold; text-decoration: none;">com</ins>/<ins style="font-weight: bold; text-decoration: none;">Gonorrhea-pictures</ins>.<ins style="font-weight: bold; text-decoration: none;">html std testing] at home and her live in Puerto Rico but she will have </ins>to <ins style="font-weight: bold; text-decoration: none;">move one working day or </ins>an <ins style="font-weight: bold; text-decoration: none;">additional</ins>. <ins style="font-weight: bold; text-decoration: none;">I utilized </ins>to be <ins style="font-weight: bold; text-decoration: none;">unemployed but now I </ins> [<ins style="font-weight: bold; text-decoration: none;">http://www</ins>.<ins style="font-weight: bold; text-decoration: none;">webmdbook</ins>.<ins style="font-weight: bold; text-decoration: none;">com/index</ins>.<ins style="font-weight: bold; text-decoration: none;">php?do=/profile-11685/info/ www</ins>.<ins style="font-weight: bold; text-decoration: none;">webmdbook</ins>.<ins style="font-weight: bold; text-decoration: none;">com] am a librarian and  </ins>[http://<ins style="font-weight: bold; text-decoration: none;">chorokdeul</ins>.<ins style="font-weight: bold; text-decoration: none;">co</ins>.<ins style="font-weight: bold; text-decoration: none;">kr</ins>/<ins style="font-weight: bold; text-decoration: none;">index</ins>.<ins style="font-weight: bold; text-decoration: none;">php?document_srl=454418&amp;mid=customer21 over the counter std test</ins>] <ins style="font-weight: bold; text-decoration: none;">home std test </ins>the <ins style="font-weight: bold; text-decoration: none;">wage has been really fulfilling</ins>.&lt;<ins style="font-weight: bold; text-decoration: none;">br</ins>&gt;&lt;<ins style="font-weight: bold; text-decoration: none;">br</ins>&gt;<ins style="font-weight: bold; text-decoration: none;">my website</ins>; <ins style="font-weight: bold; text-decoration: none;">[</ins>http://<ins style="font-weight: bold; text-decoration: none;">Www</ins>.<ins style="font-weight: bold; text-decoration: none;">hamcass</ins>.<ins style="font-weight: bold; text-decoration: none;">org</ins>/<ins style="font-weight: bold; text-decoration: none;">index.php?document_srl=268708&amp;mid=gido http:</ins>//<ins style="font-weight: bold; text-decoration: none;">Www.hamcass</ins>.<ins style="font-weight: bold; text-decoration: none;">org</ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">: &lt;math&gt;</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">E=1-\frac</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">{\sum_{t=1}^T\left(Q_o^t-Q_m^t\right)^2}</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">{\sum_{t=1}^T\left(Q_o^t-\overline{Q_o}\right)^2}</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">&lt;/math&gt;</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">where ''Q''&lt;sub&gt;o&lt;/sub&gt; </del>is <del style="font-weight: bold; text-decoration: none;">observed discharge, and ''Q''&lt;sub&gt;''m''&lt;/sub&gt; is modeled discharge. ''Q''&lt;sub&gt;o&lt;/sub&gt;&lt;sup&gt;''t''&lt;/sup&gt; is observed discharge at </del>time <del style="font-weight: bold; text-decoration: none;">''t''</del>.<del style="font-weight: bold; text-decoration: none;">&lt;ref&gt;Nash, J. E. and J. V. Sutcliffe (1970), </del>[http://<del style="font-weight: bold; text-decoration: none;">dx</del>.<del style="font-weight: bold; text-decoration: none;">doi</del>.<del style="font-weight: bold; text-decoration: none;">org</del>/<del style="font-weight: bold; text-decoration: none;">10.1016/0022</del>-<del style="font-weight: bold; text-decoration: none;">1694(70)90255</del>-<del style="font-weight: bold; text-decoration: none;">6 River flow forecasting through conceptual models part I &amp;mdash; A discussion </del>of <del style="font-weight: bold; text-decoration: none;">principles</del>]<del style="font-weight: bold; text-decoration: none;">, ''</del>[<del style="font-weight: bold; text-decoration: none;">[Journal of Hydrology]]'', 10 (3), 282&amp;ndash;290</del>.<del style="font-weight: bold; text-decoration: none;">&lt;</del>/<del style="font-weight: bold; text-decoration: none;">ref&gt;</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Nash–Sutcliffe efficiencies can range from &amp;minus;∞ to 1</del>. <del style="font-weight: bold; text-decoration: none;">An efficiency of 1 (''E''&amp;nbsp;=&amp;nbsp;1) corresponds </del>to <del style="font-weight: bold; text-decoration: none;">a perfect match of modeled discharge to the observed data.  An efficiency of 0 (''E''&amp;nbsp;=&amp;nbsp;0) indicates that the model predictions are as accurate as the mean of the observed data, whereas </del>an <del style="font-weight: bold; text-decoration: none;">efficiency less than zero (''E''&amp;nbsp;&lt;&amp;nbsp;0) occurs when the observed mean is a better predictor than the model or, in other words, when the residual variance (described by the numerator in the expression above), is larger than the data variance (described by the denominator)</del>.</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Essentially, the closer the model efficiency is </del>to <del style="font-weight: bold; text-decoration: none;">1, the more accurate the model is.</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">It should </del>be <del style="font-weight: bold; text-decoration: none;">noted that Nash–Sutcliffe efficiencies can also be used to quantitatively describe the accuracy of model outputs other than discharge. </del> <del style="font-weight: bold; text-decoration: none;">This method can be used to describe the predictive accuracy of other models as long as there is observed data to compare the model results to. For example, Nash–Sutcliffe efficiencies have been reported in scientific literature for model simulations of discharge, and water quality constituents such as </del>[<del style="font-weight: bold; text-decoration: none;">[sediment]], nitrogen, and phosphorus loadings</del>.<del style="font-weight: bold; text-decoration: none;">&lt;ref&gt;Moriasi, D</del>. <del style="font-weight: bold; text-decoration: none;">N</del>.<del style="font-weight: bold; text-decoration: none;">; Arnold,  J</del>. <del style="font-weight: bold; text-decoration: none;">G</del>.<del style="font-weight: bold; text-decoration: none;">;  Van Liew, M. W.;  Bingner,R. L.; Harmel, R. D.;  Veith, T. L. (2007), </del>[http://<del style="font-weight: bold; text-decoration: none;">ddr</del>.<del style="font-weight: bold; text-decoration: none;">nal</del>.<del style="font-weight: bold; text-decoration: none;">usda.gov</del>/<del style="font-weight: bold; text-decoration: none;">dspace/bitstream/10113/9298/1/IND44003774</del>.<del style="font-weight: bold; text-decoration: none;">pdf "Model Evaluation Guidelines for Systematic Quantification of Accuracy in Watershed Simulations"</del>]<del style="font-weight: bold; text-decoration: none;">, ''Transactions of </del>the <del style="font-weight: bold; text-decoration: none;">ASABE'', 50 (3), 885&amp;ndash;900</del>.&lt;<del style="font-weight: bold; text-decoration: none;">/ref</del>&gt;</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">== References ==</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&lt;<del style="font-weight: bold; text-decoration: none;">references/</del>&gt;</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">2 Moriasi, D. N.</del>; <del style="font-weight: bold; text-decoration: none;">Arnold, J. G.; Van Liew, M. W.; Bingner,R. L.; Harmel, R. D.; Veith, T. L. (2007), "Model Evaluation Guidelines for Systematic Quantification of Accuracy in Watershed Simulations", Transactions of the ASABE, 50 (3), 885–900.</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">PDF link:  </del>http://<del style="font-weight: bold; text-decoration: none;">swat</del>.<del style="font-weight: bold; text-decoration: none;">tamu</del>.<del style="font-weight: bold; text-decoration: none;">edu</del>/<del style="font-weight: bold; text-decoration: none;">media</del>/<del style="font-weight: bold; text-decoration: none;">1312</del>/<del style="font-weight: bold; text-decoration: none;">moriasimodeleval</del>.<del style="font-weight: bold; text-decoration: none;">pdf</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">{{DEFAULTSORT:Nash-Sutcliffe model efficiency coefficient}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[Category:Hydrology]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[Category:Point estimation performance]</del>]</div></td><td colspan="2" class="diff-side-added"></td></tr> </table>

en>Wavelength https://en.formulasearchengine.com/index.php?title=Integer_lattice&diff=12015&oldid=prev 2013-08-11T03:10:03Z

<p>Dating maintenance tags: {{Refimprove}}</p> <a href="https://en.formulasearchengine.com/index.php?title=Integer_lattice&amp;diff=12015&amp;oldid=245172">Show changes</a>

en>AnomieBOT https://en.formulasearchengine.com/index.php?title=Integer_lattice&diff=245172&oldid=prev 2011-08-11T15:37:35Z

<p><span class="autocomment">Diophantine geometry</span></p> <a href="https://en.formulasearchengine.com/index.php?title=Integer_lattice&amp;diff=245172">Show changes</a>

96.248.60.178