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all right lets look at the section 1.4 index collections of sex all right lets talk about the notation if you are familiar with the Sigma notation for summation this is pretty much the same thing alright so you have a union from index I goes from 1 to N of a I so each AI is a set so this means that that were going to take the union of a starting from 1 so a 1 and take the Union with a 2 Union a 3 and and so on so keep taking the Union up to a n alright so thats what it means and this is that basically means that that this is going to be a set of elements such that right X is in at least one of these guys so in a I for some I doesnt have to be all just have to be at least one all right and the intersections works the same way so this is going to be a 1 intersect a to intersect a 3 intersect keep going and intersect a n right this is basically a collection of element X such that X is in all of these guys so X is in a I for all I goes from 1 to M all right in general we can use an i