Question

In this question, you need to describe in words sets that are defined using a formula...

In this question, you need to describe in words sets that are defined using a formula with quantifiers. For example, the set
0 0
Answer #1

3.1) S=xE (0, 100: Vi e (0,...98}, x; = Xi41

S is the set of all tuples of length 100 where are the coordinates are equal to either 0 or 1.

Latex:

S = \{ x\in \{ 0,1 \} ^{100} : \forall i \in \{0, \dots , 98 \} , x_i = x_{i+1} \}

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