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In systems with a moderate sign problem, such as field theories at a sufficiently high temperature or in a sufficiently small volume, the sign problem is not too severe and useful results can be obtained by various methods, such as more carefully tuned reweighting, [[analytic continuation]] from imaginary <math>\mu</math> to real <math>\mu</math>, or [[Taylor series|Taylor expansion]] in powers of <math>\mu</math>.<ref name='Philipsen'/><ref>{{Cite book |arxiv=hep-lat/0610116 |last1=Schmidt |first1=Christian |title=Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006) |chapter=Lattice QCD at finite density |volume=021 |pages=21.1 |year=2006|doi=10.22323/1.032.0021 |bibcode=2006slft.confE..21S |s2cid=14890549 |doi-access=free }}</ref>
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There are various proposals for solving systems with a severe sign problem:
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