(a) Show that the definition of erosion given in Problem 9.9 is equivalent to yet another...

(a) Show that the definition of erosion given in Problem 9.9 is equivalent to yet another definition of erosion:

(If −b is replaced with b,this expression is called the Minkowsky subtraction of two sets.)

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(b) Show that the expression in (a) also is equivalent to the definition in Eq. (9.2-1).

(9.2-1)

An alternative definition of erosion is

Show that this definition is equivalent to the definition in Eq. (9.2-1).

(9.2-1)