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In this paper we study Lipschitz mappings between boolean functions.\n  Our first result gives a construction of a $C$-Lipschitz mapping from the ${\\sf Majority}$ function to the ${\\sf Dictator}$ function for some universal constant $C$. On the other hand, there is no $n/2$-Lipschitz mapping in the other direction, namely from the ${\\sf Dictator}$ function to the ${\\sf Majority}$ function. 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In this paper we study Lipschitz mappings between boolean functions.\n  Our first result gives a construction of a $C$-Lipschitz mapping from the ${\\sf Majority}$ function to the ${\\sf Dictator}$ function for some universal constant $C$. On the other hand, there is no $n/2$-Lipschitz mapping in the other direction, namely from the ${\\sf Dictator}$ function to the ${\\sf Majority}$ function. 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