In javascript, if we have some code such as
var a = \"one\";
var b = q || a;
alert (b);
The logical OR operator will assign a\'s value to b
For your q || a to evaluate to a, q should be a 'falsy' value. What you did is called "Short circuit evaluation".
Answering your questions:
The logical operators (like and - &&, or - ||) can be used in other situations too. More generally in conditional statements like if. More here
Empty string is not treated as undefined. Both are falsy values. There are a few more falsy values. More here
AND, or && in JavaScript, is not a variable. It is an operator
The idiom you have used is quite common.
var x = val || 'default'; //is generally a replacement for
var x = val ? val : 'default' //or
if (val)
var x = val;
else
var x = 'default';