Properly sized brackets in Chapter 7 formula
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@ -1039,7 +1039,7 @@ As a final note, there is also a surprising direct formula
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for calculating the number of tilings\footnote{Surprisingly,
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this formula was discovered in 1961 by two research teams \cite{kas61,tem61}
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that worked independently.}:
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\[ \prod_{a=1}^{\lceil n/2 \rceil} \prod_{b=1}^{\lceil m/2 \rceil} 4 \cdot (\cos^2 \frac{\pi a}{n + 1} + \cos^2 \frac{\pi b}{m+1})\]
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\[ \prod_{a=1}^{\lceil n/2 \rceil} \prod_{b=1}^{\lceil m/2 \rceil} 4 \cdot \left(\cos^2 \frac{\pi a}{n + 1} + \cos^2 \frac{\pi b}{m+1}\right)\]
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This formula is very efficient, because it calculates
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the number of tilings in $O(nm)$ time,
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but since the answer is a product of real numbers,
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