# Meaning of $\lor$ and $\land$ [duplicate]

What is the meaning of $$\lor$$ and $$\land$$ in the following function:$$\phi(x):= (x\land1)\lor(-1)$$ To give a little context, this should be a bounded transformation to bound a correlation estimator to $$-1$$ and $$1$$. I know of their use in logic but I've never seen them used like this.

• these should be max and min (I’ve often seen those notation in stats : $x∧y$ is $min(x,y)$), so the result is to bound the expression to 1 and -1 as you said – Nephanth May 2 at 17:43
• Also: math.stackexchange.com/q/610760/42969: “$\wedge$ denotes min, while $\vee$ denotes max.” – Martin R May 2 at 17:46

If you represent false and true as $$0$$ and $$1$$ respectively, $$x\land y=\min\{x,\,y\}$$ while $$x\lor y=\max\{x,\,y\}$$ (verify these with a truth table if you like). This $$\land=\min,\,\lor=\max$$ identification is the basis of semilattices. Using it on real numbers is just a very boring example of a lattice (i.e. a semilattice with both, satisfying absorption laws).