https://www.chessprogramming.org/index.php?title=Material&feed=atom&action=history
Material - Revision history
2024-03-29T09:29:01Z
Revision history for this page on the wiki
MediaWiki 1.30.1
https://www.chessprogramming.org/index.php?title=Material&diff=24431&oldid=prev
GerdIsenberg at 08:38, 22 April 2021
2021-04-22T08:38:50Z
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Material Hash Table#ApproachOfChess|Material in Chess 4.5]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Material Hash Table#ApproachOfChess|Material in Chess 4.5]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[SOMA#Material|Material in SOMA]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[SOMA#Material|Material in SOMA]]</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;">* [[PeSTO's Evaluation Function]]</ins></div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Simplified Evaluation Function]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Simplified Evaluation Function]]</div></td></tr>
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GerdIsenberg
https://www.chessprogramming.org/index.php?title=Material&diff=23691&oldid=prev
GerdIsenberg at 18:41, 19 February 2021
2021-02-19T18:41:51Z
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==2020 ...==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>==2020 ...==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum3/viewtopic.php?f=7&t=72967 Imbalance] by [[Vivien Clauzon]], [[CCC]], February 01, 2020</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum3/viewtopic.php?f=7&t=72967 Imbalance] by [[Vivien Clauzon]], [[CCC]], February 01, 2020</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;">* [http://www.talkchess.com/forum3/viewtopic.php?f=7&t=76629 Trading gradient: to trade or not to trade?] by [[Harm Geert Muller]], [[CCC]], February 18, 2021</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=External Links=  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=External Links=  </div></td></tr>
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GerdIsenberg
https://www.chessprogramming.org/index.php?title=Material&diff=17835&oldid=prev
GerdIsenberg at 22:49, 2 February 2020
2020-02-02T22:49:33Z
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 22:49, 2 February 2020</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=66966 'ab-initio' piece values] by [[Harm Geert Muller]], [[CCC]], March 30, 2018 » [[Piece-Square Tables]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=66966 'ab-initio' piece values] by [[Harm Geert Muller]], [[CCC]], March 30, 2018 » [[Piece-Square Tables]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum3/viewtopic.php?f=7&t=68842 The Xiphos Material Evaluator] by  [[Dennis Sceviour]], [[CCC]], November 05, 2018 » [[Xiphos]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum3/viewtopic.php?f=7&t=68842 The Xiphos Material Evaluator] by  [[Dennis Sceviour]], [[CCC]], November 05, 2018 » [[Xiphos]]</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;">==2020 ...==</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;">* [http://www.talkchess.com/forum3/viewtopic.php?f=7&t=72967 Imbalance] by [[Vivien Clauzon]], [[CCC]], February 01, 2020</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=External Links=  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=External Links=  </div></td></tr>
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GerdIsenberg
https://www.chessprogramming.org/index.php?title=Material&diff=14702&oldid=prev
GerdIsenberg at 09:59, 30 September 2019
2019-09-30T09:59:39Z
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 09:59, 30 September 2019</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* Penalty for the knight pair (as two knights are less successful against the rook than any other pair of minor pieces)</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* Penalty for the knight pair (as two knights are less successful against the rook than any other pair of minor pieces)</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* decreasing the value of the rook pawns and increasing the value of the central pawns (though this can be done in the [[Piece-Square Tables|piece-square tables]] as well)</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* decreasing the value of the rook pawns and increasing the value of the central pawns (though this can be done in the [[Piece-Square Tables|piece-square tables]] as well)</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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>* Trade down bonus that encourages the winning side to trade pieces but no pawns <ref>[http://www.talkchess.com/forum/viewtopic.php?t=64110 trading pieces and pawns based on material balance] by [[Erin Dame]], [[CCC]], May 28, 2017</ref></div></td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline"><span id="Trade"></span></ins>Trade down bonus that encourages the winning side to trade pieces but no pawns <ref>[http://www.talkchess.com/forum/viewtopic.php?t=64110 trading pieces and pawns based on material balance] by [[Erin Dame]], [[CCC]], May 28, 2017</ref></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* Penalty for having no pawns, as it makes it more difficult to win the endgame</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* Penalty for having no pawns, as it makes it more difficult to win the endgame</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* Bad trade penalty as proposed by [[Robert Hyatt]], that is penalizing the material imbalances that are disadvantageous like having three pawns for a piece or a rook for two minors.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* Bad trade penalty as proposed by [[Robert Hyatt]], that is penalizing the material imbalances that are disadvantageous like having three pawns for a piece or a rook for two minors.</div></td></tr>
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GerdIsenberg
https://www.chessprogramming.org/index.php?title=Material&diff=8349&oldid=prev
GerdIsenberg at 09:49, 9 November 2018
2018-11-09T09:49:17Z
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<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 09:49, 9 November 2018</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l100" >Line 100:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=56142 Rook vs 2 minor pieces with pawns on the board] by [[Shawn Chidester]], [[CCC]], April 27, 2015  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=56142 Rook vs 2 minor pieces with pawns on the board] by [[Shawn Chidester]], [[CCC]], April 27, 2015  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=56168 Piece weights with regression analysis (in Russian)] by [[Vladimir Medvedev]], [[CCC]], April 30, 2015 <ref>[http://habrahabr.ru/post/254753/ Определяем веса шахматных фигур регрессионным анализом / Хабрахабр] by [[Vladimir Medvedev|WinPooh]], April 27, 2015  (Russian)</ref> » [[Point Value]], [[Automated Tuning]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=56168 Piece weights with regression analysis (in Russian)] by [[Vladimir Medvedev]], [[CCC]], April 30, 2015 <ref>[http://habrahabr.ru/post/254753/ Определяем веса шахматных фигур регрессионным анализом / Хабрахабр] by [[Vladimir Medvedev|WinPooh]], April 27, 2015  (Russian)</ref> » [[Point Value]], [[Automated Tuning]]</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;">'''2017'''</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=62687 Another way of evaluating material imbalances] by [[Volker Annuss]], [[CCC]], January 01, 2017 » [[Arminius]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=62687 Another way of evaluating material imbalances] by [[Volker Annuss]], [[CCC]], January 01, 2017 » [[Arminius]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=64110 trading pieces and pawns based on material balance] by [[Erin Dame]], [[CCC]], May 28, 2017</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=64110 trading pieces and pawns based on material balance] by [[Erin Dame]], [[CCC]], May 28, 2017</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=65364 Trading Pieces When Ahead In Material] by [[Daniel Anulliero]], [[CCC]], October 03, 2017</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=65364 Trading Pieces When Ahead In Material] by [[Daniel Anulliero]], [[CCC]], October 03, 2017</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=65870 Magic end-game material hash?] by [[Harm Geert Muller]], [[CCC]], November 30, 2017</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=65870 Magic end-game material hash?] by [[Harm Geert Muller]], [[CCC]], November 30, 2017</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;">'''2018'''</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=66966 'ab-initio' piece values] by [[Harm Geert Muller]], [[CCC]], March 30, 2018 » [[Piece-Square Tables]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.talkchess.com/forum/viewtopic.php?t=66966 'ab-initio' piece values] by [[Harm Geert Muller]], [[CCC]], March 30, 2018 » [[Piece-Square Tables]]</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;">* [http://www.talkchess.com/forum3/viewtopic.php?f=7&t=68842 The Xiphos Material Evaluator] by  [[Dennis Sceviour]], [[CCC]], November 05, 2018 » [[Xiphos]]</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=External Links=  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=External Links=  </div></td></tr>
</table>
GerdIsenberg
https://www.chessprogramming.org/index.php?title=Material&diff=1923&oldid=prev
GerdIsenberg at 12:11, 14 May 2018
2018-05-14T12:11:10Z
<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
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<col class="diff-marker" />
<col class="diff-content" />
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<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 12:11, 14 May 2018</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l28" >Line 28:</td>
<td colspan="2" class="diff-lineno">Line 28:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><span id="Balance"></span></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><span id="Balance"></span></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=Material Balance=  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=Material Balance=  </div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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>The Material Balance is finally returned as the almost most dominating evaluation term, usually in [[Negamax]] from [[Side to <del class="diffchange diffchange-inline">Move</del>|side to move's]] point of view, and in its pure form simply the difference of both sides material, MD:</div></td><td class='diff-marker'>+</td><td style="color:black; 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>The Material Balance is finally returned as the almost most dominating evaluation term, usually in [[Negamax]] from [[Side to <ins class="diffchange diffchange-inline">move</ins>|side to move's]] point of view, and in its pure form simply the difference of both sides material, MD:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><pre></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><pre></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>md := material[side_2_move] - material[side_2_move ^ 1];</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>md := material[side_2_move] - material[side_2_move ^ 1];</div></td></tr>
</table>
GerdIsenberg
https://www.chessprogramming.org/index.php?title=Material&diff=1922&oldid=prev
GerdIsenberg at 12:08, 14 May 2018
2018-05-14T12:08:58Z
<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr style="vertical-align: top;" lang="en">
<td colspan="2" style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: white; color:black; text-align: center;">Revision as of 12:08, 14 May 2018</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l9" >Line 9:</td>
<td colspan="2" class="diff-lineno">Line 9:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Piece relative values concerning their relative strength in potential exchanges based on human experience and [[Learning|learning]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Piece relative values concerning their relative strength in potential exchanges based on human experience and [[Learning|learning]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Point Value]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Point Value]]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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>* [[Pawn Advantage, Win Percentage, and <del class="diffchange diffchange-inline">ELO</del>]]</div></td><td class='diff-marker'>+</td><td style="color:black; 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>* [[Pawn Advantage, Win Percentage, and <ins class="diffchange diffchange-inline">Elo</ins>]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=Other Material Considerations=  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>=Other Material Considerations=  </div></td></tr>
</table>
GerdIsenberg
https://www.chessprogramming.org/index.php?title=Material&diff=1920&oldid=prev
GerdIsenberg: Created page with "'''Home * Evaluation * Material''' FILE:Elke_Rehder_Chess_Schach_Stefan_Zweig_Schachnovelle_Royal_Game_4.jpg|border|right|thumb|link=http://www.elke-rehde..."
2018-05-14T12:07:40Z
<p>Created page with "'''<a href="/Main_Page" title="Main Page">Home</a> * <a href="/Evaluation" title="Evaluation">Evaluation</a> * Material''' FILE:Elke_Rehder_Chess_Schach_Stefan_Zweig_Schachnovelle_Royal_Game_4.jpg|border|right|thumb|link=http://www.elke-rehde..."</p>
<p><b>New page</b></p><div>'''[[Main Page|Home]] * [[Evaluation]] * Material'''<br />
<br />
[[FILE:Elke_Rehder_Chess_Schach_Stefan_Zweig_Schachnovelle_Royal_Game_4.jpg|border|right|thumb|link=http://www.elke-rehder.de/Chess_Woodcuts.htm|[https://en.wikipedia.org/wiki/The_Royal_Game The Royal Game] IV <ref>[http://www.elke-rehder.de/Chess_Woodcuts.htm Royal Game, Woodcuts Art] by [[Arts#Rehder|Elke Rehder]], [https://en.wikipedia.org/wiki/Stefan_Zweig Stefan Zweig] [https://en.wikipedia.org/wiki/The_Royal_Game The Royal Game] IV</ref> ]] <br />
<br />
'''Material''',<br/><br />
a term determined by the sum of [[Point Value|piece values]] of each side. The material value is the most influential part of the evaluation. Usually it is the sum of a constant value for each piece present, measured in units of a fraction of a pawn, for instance the common [[Centipawns|centipawn scale]], which allows positional features of the position, worth less than a single pawn, to be evaluated without requiring fractions but a [[Score#FixedPoint|fixed point score]]. <br />
<br />
=Basic Piece Values= <br />
Piece relative values concerning their relative strength in potential exchanges based on human experience and [[Learning|learning]]<br />
* [[Point Value]]<br />
* [[Pawn Advantage, Win Percentage, and ELO]]<br />
<br />
=Other Material Considerations= <br />
In chess, it is known that certain material features provide an advantage, such as the [[Bishop Pair|bishop pair]] (which might be worth as much as half a pawn). A program might increase the values of rooks when there are less pawns on the board or prefer knights when there are many pawns. [[Larry Kaufman]] performed statistical tests on a variety of different material configurations to approximate their values <ref>[http://www.talkchess.com/forum/viewtopic.php?t=18240 Evaluation of material imbalance (a Rybka secret?)] by [[Alessandro Scotti]] from [[CCC]], December 06, 2007</ref> .<br />
<br />
Other factors that affect material evaluation might be:<br />
* Bonus for the [[Bishop Pair|bishop pair]] (bishops complement each other, controlling squares of different [[Color|color]])<br />
* Penalty for the rook pair (Larry Kaufman called it "principle of redundancy")<br />
* Penalty for the knight pair (as two knights are less successful against the rook than any other pair of minor pieces)<br />
* decreasing the value of the rook pawns and increasing the value of the central pawns (though this can be done in the [[Piece-Square Tables|piece-square tables]] as well)<br />
* Trade down bonus that encourages the winning side to trade pieces but no pawns <ref>[http://www.talkchess.com/forum/viewtopic.php?t=64110 trading pieces and pawns based on material balance] by [[Erin Dame]], [[CCC]], May 28, 2017</ref><br />
* Penalty for having no pawns, as it makes it more difficult to win the endgame<br />
* Bad trade penalty as proposed by [[Robert Hyatt]], that is penalizing the material imbalances that are disadvantageous like having three pawns for a piece or a rook for two minors.<br />
* Elephantiasis effect as suggested by [[Harm Geert Muller]] (meaning that stronger pieces lose part of their value in presence of weaker pieces)<br />
<span id="InsufficientMaterial"></span><br />
=Insufficient Material= <br />
Using values like these blindly can lead to bad play. Most programs uses special code or tables to detect drawn or likely drawn material combinations. For example, KB vs K is a draw, as is KN vs K and KNN vs K. There is also a class of almost-certain draws, not mentioned in the [[FIDE rules]] because of the possibility of a checkmate (KN vs KN <ref>[http://www.open-aurec.com/wbforum/viewtopic.php?f=2&t=2112 Quark 2.35 draw claim bug] by [[Igor Korshunov]], [[Computer Chess Forums|Winboard Forum]], March 28, 2005 » [[Quark]], [[Draw]]</ref> , KB vs KN, KNN vs KB, KBN vs KB, KBN vs KR etc.) A general rule that, although not perfect, catches many likely draws is that if one side has no pawns left, it needs the equivalent of +4 pawns more material to win. For example, KRN vsv KR is usually a draw, where KRR vs KBN is usually a win for the rook side. For more details see [[Draw Evaluation|draw evaluation]] and [[Interior Node Recognizer|interior node recognizer]].<br />
<span id="Balance"></span><br />
=Material Balance= <br />
The Material Balance is finally returned as the almost most dominating evaluation term, usually in [[Negamax]] from [[Side to Move|side to move's]] point of view, and in its pure form simply the difference of both sides material, MD:<br />
<pre><br />
md := material[side_2_move] - material[side_2_move ^ 1];<br />
</pre><br />
As mentioned, other material considerations, concerning [[Material#InsufficientMaterial|insufficient material]] and material imbalances (e.g. rook versus two minor pieces, queen versus two rooks or three pieces, three pawns versus piece) should be taken into account - for instance to encourage exchanging pieces but no pawns if ahead, see the [[Material Hash Table#ApproachOfChess|hashing approach]] of [[Chess (Program)|Chess 4.5]].<br />
<br />
=Hashing and Tables= <br />
To save speed in the material evaluation, programs using rules often [[Hash Table|hash]] the material evaluation scores. With [[Material Tables|precomputed arrays of material values]], this is not needed.<br />
* [[Material Hash Table]]<br />
* [[Material Tables]]<br />
<br />
=See also= <br />
* [[Bishop Pair]]<br />
* [[Score#FixedPoint|Fixed Point Score]]<br />
* [[Influence Quantity of Pieces]]<br />
* [[Interior Node Recognizer]]<br />
* [[Material Hash Table#ApproachOfChess|Material in Chess 4.5]]<br />
* [[SOMA#Material|Material in SOMA]]<br />
* [[Piece-Square Tables]]<br />
* [[Simplified Evaluation Function]]<br />
<br />
=Related Publications= <br />
* [[Claude Shannon]] ('''1949'''). ''[http://www.pi.infn.it/%7Ecarosi/chess/shannon.txt Programming a Computer for Playing Chess]''. [http://archive.computerhistory.org/projects/chess/related_materials/text/2-0%20and%202-1.Programming_a_computer_for_playing_chess.shannon/2-0%20and%202-1.Programming_a_computer_for_playing_chess.shannon.062303002.pdf pdf] from [[The Computer History Museum]]<br />
* [[Alan Turing]] ('''1953'''). '''''Chess'''''. part of the collection ''Digital Computers Applied to Games'', in [https://en.wikipedia.org/wiki/B._V._Bowden,_Baron_Bowden Bertram Vivian Bowden] (editor), [http://www.computinghistory.org.uk/cgi-bin/sitewise.pl?act=det&p=10719 Faster Than Thought], a symposium on digital computing machines, reprinted 1988 in [[Computer Chess Compendium]], reprinted 2004 in ''The Essential Turing'', [http://books.google.com/books?id=RSkxnKlv1D4C&lpg=PP882&ots=VOWmiIm_lD&dq=Turochamp%2C%20chess&pg=PP881#v=onepage&q&f=true google books]<br />
* [[Jack Good]] ('''1968'''). ''A Five-Year Plan for Automatic Chess - Appendix F. The Value of the Pieces and Squares''. [http://www.doc.ic.ac.uk/~shm/MI/mi2.html Machine Intelligence Vol. 2]<br />
* [[David Slate]], [[Larry Atkin]] ('''1977'''). ''CHESS 4.5 - The Northwestern University Chess Program.'' [[Chess Skill in Man and Machine]] (ed. [[Peter W. Frey]]), pp. 82-118. Springer-Verlag, New York, N.Y. 2nd ed. 1983. ISBN 0-387-90815-3. Reprinted ('''1988''') in [[Computer Chess Compendium]]<br />
* [[Gennady Timoshchenko]] ('''1993'''). ''Bishop or Knight''? [[ICGA Journal#16_4|ICCA Journal, Vol. 16, No. 4]]<br />
* [[Larry Kaufman]] ('''1994'''). ''The Relative Value of the Pieces''. [[Computer Chess Reports]], Vol. 4, No. 2, pp. 33<br />
* [[Mark Sturman]] ('''1995'''). ''Beware The Bishop Pair''. [[Computer Chess Reports]], Vol. 5, No. 2, pp.58 <ref>[https://groups.google.com/d/msg/rec.games.chess/xFCRAQIqvjw/OVFg2ezWYTYJ Looking for Mark Sturman] by [[Mark Lefler]], [[Computer Chess Forums|rec.games.chess]], July 02, 1995</ref> » [[Bishop Pair]]<br />
* [[Mark Sturman]] ('''1996'''). ''Beware the Bishop Pair''. [[ICGA Journal#19_2|ICCA Journal, Vol. 19, No. 2]]<br />
* [[Don Beal]], [[Martin C. Smith]] ('''1997'''). ''Learning Piece Values Using Temporal Differences''. [[ICGA Journal#20_3|ICCA Journal, Vol. 20, No. 3]]<br />
* [[Larry Kaufman]] ('''1999'''). ''[https://www.chess.com/article/view/the-evaluation-of-material-imbalances-by-im-larry-kaufman The Evaluation of Material Imbalances]''. (first published in [https://en.wikipedia.org/wiki/Chess_Life Chess Life] March 1999, online version edited by [[Dan Heisman]])<br />
* [[Sacha Droste]], [[Johannes Fürnkranz]] ('''2008'''). ''Learning of Piece Values for Chess Variants.'' Technical Report TUD–KE–2008-07, Knowledge Engineering Group, [[Darmstadt University of Technology|TU Darmstadt]], [http://www.ke.tu-darmstadt.de/publications/reports/tud-ke-2008-07.pdf pdf]<br />
* [[Christian Hesse]] ('''2011'''). ''[http://www.newinchess.com/The_Joys_of_Chess-p-953.html The Joys of Chess - Heroes, Battles & Brilliancies]''. ISBN: 978-90-5691-355-7, [https://en.wikipedia.org/wiki/New_In_Chess New In Chess] <ref>[http://www.chessbase.com/newsdetail.asp?newsid=7775 The joys of chess – and the value of the pieces], [[ChessBase|ChessBase News]], December 21, 2011</ref><br />
<br />
=Forum Posts= <br />
==2000 ...==<br />
* [https://www.stmintz.com/ccc/index.php?id=222033 Queen vs two rooks] by [[Benny Antonsson]], [[CCC]], April 07, 2002<br />
* [https://www.stmintz.com/ccc/index.php?id=286659 Exceptions to (1,3,3,5,9)] by [[David Rasmussen]], [[CCC]], February 24, 2003<br />
* [https://www.stmintz.com/ccc/index.php?id=345860 Bad trade] by [[Benny Antonsson]], [[CCC]], January 30, 2004<br />
==2005 ...==<br />
* [http://www.open-aurec.com/wbforum/viewtopic.php?f=2&t=2112 Quark 2.35 draw claim bug] by [[Igor Korshunov]], [[Computer Chess Forums|Winboard Forum]], March 28, 2005 » [[Quark]], [[Draw]]<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=13166 Material imbalance evaluation] by [[Alessandro Scotti]], [[CCC]], April 16, 2007<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=18240 Evaluation of material imbalance (a Rybka secret?)] by [[Alessandro Scotti]], [[CCC]], December 06, 2007<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=27387 Relative Piece Values] by [[Mark Lefler]], [[CCC]], April 09, 2009 » [[Point Value]]<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=27616 Testing of Kaufman Material Values] by [[Mark Lefler]], [[CCC]], April 25, 2009<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=27842 Rook Pair Penalty, Knight Pair Penalty, Having a Pawn Bonus] by [[Mark Lefler]], [[CCC]], May 11, 2009<br />
==2010 ...==<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=33035 Efficiently index material signatures and lookup] by [[Mathieu Pagé]], [[CCC]], March 03, 2010<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=34159 Stockfish - material balance/imbalance evaluation] by [[Ralph Stoesser]], [[CCC]], May 05, 2010 » [[Stockfish]]<br />
'''2011'''<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=37592 Wrong draw claim by Naum 4.2 ?] by [[Matthias Gemuh]], [[CCC]], January 12, 2011 » [[Draw]]<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=37831 Material imbalance/bad trade and borrowing code] by [[Evert Glebbeek]], [[CCC]], January 27, 2011<br />
'''2012'''<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=41916 Stockfish Code ( Piece Value's)] by Nolan Denson, [[CCC]], January 10, 2012 » [[Stockfish]]<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=41905 Lone minor piece penalty - What did Larry mean?] by [[Charles Roberson]], [[CCC]], January 10, 2012<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=45321 Why Knight and (lone) Bishop are so nearly equal in value] by [[Harm Geert Muller]], [[CCC]], September 25, 2012<br />
'''2013'''<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=47713 An experiment with material imbalances and game-phase] by [[Evert Glebbeek]], [[CCC]], April 06, 2013 » [[Material Tables]]<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=49808 A balanced approach to imbalances] by [[Lyudmil Tsvetkov]], [[CCC]], October 23, 2013<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=50150 handling draw by insufficient material] by [[Youri Matiounine]], November 19, 2013 » [[Draw Evaluation]]<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=50504 Lonely queen] by [[Lyudmil Tsvetkov]], [[CCC]], December 15, 2013<br />
* [http://macechess.blogspot.de/2013/12/queen-vs-3-minors.html Queen vs 3 minors] by [[Thomas Petzke]], [http://macechess.blogspot.de/ mACE Chess], December 18, 2013<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=50550 Accessing Material Imbalance Information?] by [[Steve Maughan]], [[CCC]], December 19, 2013 » [[Material Tables]]<br />
* [http://macechess.blogspot.de/2013/12/queen-vs-3-minors-part-2.html Queen vs 3 Minors part 2] by [[Thomas Petzke]], [http://macechess.blogspot.de/ mACE Chess], December 21, 2013<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=50601 Trading penalty with imbalances] by [[Lyudmil Tsvetkov]], [[CCC]], December 22, 2013<br />
'''2014'''<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=52757 Scaling eval with material on the board] by [[Lyudmil Tsvetkov]], [[CCC]], June 25, 2014<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=52775 Obligatory scaling] by [[Lyudmil Tsvetkov]], [[CCC]], June 27, 2014 » [[Rook Endgame]]<br />
==2015 ...==<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=56142 Rook vs 2 minor pieces with pawns on the board] by [[Shawn Chidester]], [[CCC]], April 27, 2015 <br />
* [http://www.talkchess.com/forum/viewtopic.php?t=56168 Piece weights with regression analysis (in Russian)] by [[Vladimir Medvedev]], [[CCC]], April 30, 2015 <ref>[http://habrahabr.ru/post/254753/ Определяем веса шахматных фигур регрессионным анализом / Хабрахабр] by [[Vladimir Medvedev|WinPooh]], April 27, 2015 (Russian)</ref> » [[Point Value]], [[Automated Tuning]]<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=62687 Another way of evaluating material imbalances] by [[Volker Annuss]], [[CCC]], January 01, 2017 » [[Arminius]]<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=64110 trading pieces and pawns based on material balance] by [[Erin Dame]], [[CCC]], May 28, 2017<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=64115 insufficient mating material] by [[Erin Dame]], [[CCC]], May 29, 2017 » [[Draw Evaluation]]<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=64576 list of material combinations requiring specialized eval ?] by [[Mahmoud Uthman]], [[CCC]], July 11, 2017<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=65364 Trading Pieces When Ahead In Material] by [[Daniel Anulliero]], [[CCC]], October 03, 2017<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=65870 Magic end-game material hash?] by [[Harm Geert Muller]], [[CCC]], November 30, 2017<br />
* [http://www.talkchess.com/forum/viewtopic.php?t=66966 'ab-initio' piece values] by [[Harm Geert Muller]], [[CCC]], March 30, 2018 » [[Piece-Square Tables]]<br />
<br />
=External Links= <br />
* [https://www.chess.com/article/view/the-evaluation-of-material-imbalances-by-im-larry-kaufman The Evaluation of Material Imbalances] by [[Larry Kaufman]]<br />
* [http://walkofmind.com/programming/chess/mat_stats.html Statistics of material imbalances in chess games] by [[Alessandro Scotti]] » [[Match Statistics]]<br />
* [https://en.wikipedia.org/wiki/Chess_piece_relative_value Chess piece relative value from Wikipedia]<br />
* [http://www.chessvariants.com/d.betza/pieceval/index.html About the Values of Chess Pieces] by [[Ralph Betza]]<br />
* [http://www.chessbase.com/newsdetail.asp?newsid=7775 The joys of chess – and the value of the pieces], [[ChessBase|ChessBase News]], December 21, 2011 <ref>[[Christian Hesse]] ('''2011'''). ''[http://www.newinchess.com/The_Joys_of_Chess-p-953.html The Joys of Chess - Heroes, Battles & Brilliancies]''. ISBN: 978-90-5691-355-7, [https://en.wikipedia.org/wiki/New_In_Chess New In Chess]</ref> <ref>[http://www.talkchess.com/forum/viewtopic.php?t=41556 Interesting article about the value of the pieces] by Aloisio Ponti, [[CCC]], December 22, 2011</ref><br />
<br />
=References= <br />
<references /><br />
<br />
'''[[Evaluation|Up one level]]'''<br />
[[Category:Elke Rehder]]</div>
GerdIsenberg