Let X be any set and let Y = "2¬X = {x : X → {0, 1}}, that is, Y is the set of all functions from X to {0, 1}. Show that the map F: Y → P(X) defined below is a bijection: F :X+ {x € X | x(x) = 1} where xe r27X

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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7. Let X be any set and let Y = "27X = {x : X → {0, 1}}, that is, Y is the set of all functions
from X to {0, 1}. Show that the map F: Y → P(X) defined below is a bijection:
F :X+ {x E X |x(x) = 1} where xe 27X
Transcribed Image Text:7. Let X be any set and let Y = "27X = {x : X → {0, 1}}, that is, Y is the set of all functions from X to {0, 1}. Show that the map F: Y → P(X) defined below is a bijection: F :X+ {x E X |x(x) = 1} where xe 27X
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