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In the Ruy Lopez, Exchange Variation pieces (White's bishop and Black's knight) rather than pawns are traded. In the Exchange Variation of the Grunfeld Defense, both a pair of pawns and a pair of knights are traded. The diagram at right shows a position in the Exchange Variation of the French Defense, after the moves: 1. e4 e6 2. d4 d5 3. exd5 exd5
After 6.cxd5 Nxg5 7.Nxg5 e6, White has 8.Qd2 exd5 9.Qe3+, with attacking chances (though the interpolation 8...h6 9.Nf3 exd5 is a significant alternative), or the more usual 8.Nf3 exd5 after which play generally proceeds on lines analogous to the Queen's Gambit Declined, Exchange Variation, with a queenside minority attack by White (b2–b4 ...
The variation's most devoted practitioner has been its eponym, Ashot Nadanian.Various famous players such as Viktor Korchnoi, Maxime Vachier-Lagrave, Bu Xiangzhi, Alexander Riazantsev, Igor Lysyj, Walter Browne, Smbat Lputian, Timur Gareyev, Jonathan Rowson, Andrei Kharlov, Bogdan Lalić have employed it at some time or another, though few have made it their main line against the Grünfeld ...
Calculus of variations is concerned with variations of functionals, which are small changes in the functional's value due to small changes in the function that is its argument. The first variation [l] is defined as the linear part of the change in the functional, and the second variation [m] is defined as the quadratic part. [22]
The Modern Variation is the most common variation of the Alekhine Defence. As in the Exchange Variation, White accepts a more modest spatial advantage, and hopes to be able to hang on to it. There are a number of possible Black responses: 4...Bg4, pinning the knight is the most common response, which White usually parries with 5.Be2.
The Marshall Defense is a chess opening that begins with the moves: . 1. d4 d5 2. c4 Nf6?!. The Marshall Defense is a fairly dubious variation of the Queen's Gambit Declined.It was played by Frank Marshall in the 1920s, but he gave it up after losing with it to Alekhine at Baden-Baden in 1925. [1]
A variation of East Indian Defence, after 1.d4 Nf6 2.Nf3 g6 3.Bg5, is often also called Torre Attack. After 3...Bg7, White usually plays 4.Nbd2 but can also play 4.c3. After 3...Bg7, White usually plays 4.Nbd2 but can also play 4.c3.
Lanchester's square law calculates the number of soldiers lost on each side using the following pair of equations. [7] Here, dA/dt represents the rate at which the number of Red soldiers is changing at a particular instant. A negative value indicates the loss of soldiers. Similarly, dB/dt represents the rate of change of the number of Blue ...