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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 ...
A tricky move order by Black, trying to transpose into the Grünfeld Defence if White plays natural developing moves, e.g., 4.Nc3 Nxd5 is the Grünfeld Exchange Variation. But if White plays 4.Qa4+, Black cannot regain the pawn on d5 and will not have enough compensation for the pawn.
The Exchange Variation of the Ruy Lopez is a chess opening that begins with the moves: 1. e4 e5 2. Nf3 Nc6 3. Bb5 a6 4. Bxc6. Black may recapture on c6 with either pawn; although 4...bxc6 is playable, 4...dxc6 is almost always chosen at master level. Black has gained the bishop pair at the cost of a weakened pawn structure, having doubled pawns ...
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The volatilities in the market for 90 days are 18% and for 180 days 16.6%. In our notation we have , = 18% and , = 16.6% (treating a year as 360 days). We want to find the forward volatility for the period starting with day 91 and ending with day 180.
This exchange of missile fire can be modeled as follows. Let symbol A represent the number of combat units (warships or other weapon platforms) in the Red force at the beginning of the battle. Each one has offensive firepower α , which is the number of offensive missiles accurately fired per salvo at the enemy.