Conjuction big sign

Question

I have a difficult time understand how 1: this large conjunction and disjunction symbols relates to that simpler, same conjunction expression.What these big conjunction and disjunction symbols mean?

Answer 1

$$\overline{\bigvee_{i=1}^n} p_i = \overline{p_1 \vee p_2 \vee \cdots \vee p_n}$$ and similarly $$\bigwedge _{i=1}^n \overline{p_i} = \overline{p_1} \wedge \overline{p_2} \wedge \cdots \wedge \overline{p_n}$$ so (1a) is a generalisation of (1) to $n$ terms

Answer 2

$\bigwedge_{i=1}^np_i$ means $p_1 \wedge p_2 \wedge \ldots \wedge p_n$ and $\bigvee_{i=1}^np_i$ means $p_1 \vee p_2 \vee \ldots \vee p_n$. (And the overlines $\overline{p_i}$ etc. mean logical negation.)