i and j never solved anything

.... You couldn't think of this stuff on your own so I'll have to waste a page or two to prove it to you. Let i and j be two counting numbers and if I need more than two I'll use i_1, i_2, i_3, j_1, j_2, j_3 ect. Got it? I'm going to start out this this little relationship right here and work my way though it. This is the last text you're going to see for the next two pages, so if you're not good ...