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windsylph
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Discrete Math: Relations: A round bracelet has three beads equidistant from each other. The top bead is red, the left lower bead is blue, and the right lower bead is white. Define a relation R between bracelets as: (B1,B2), where B1and B2 are bracelets, belongs to R if and only if B2 can be obtained from B1 by rotating it or rotating it and then reflecting it.
a) Show that R is an equivalence relation.
b) What are the equivalence classes of R?
 2 years ago
 2 years ago
windsylph Group Title
Discrete Math: Relations: A round bracelet has three beads equidistant from each other. The top bead is red, the left lower bead is blue, and the right lower bead is white. Define a relation R between bracelets as: (B1,B2), where B1and B2 are bracelets, belongs to R if and only if B2 can be obtained from B1 by rotating it or rotating it and then reflecting it. a) Show that R is an equivalence relation. b) What are the equivalence classes of R?
 2 years ago
 2 years ago

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