[Script Info]
Title:
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.00,0:00:03.00,Default,,0000,0000,0000,,So by this point, we've totally conquered Ambiguity, right?
Dialogue: 0,0:00:03.00,0:00:05.00,Default,,0000,0000,0000,,Ah--not so right.
Dialogue: 0,0:00:05.00,0:00:07.00,Default,,0000,0000,0000,,Even if I know whether an operation
Dialogue: 0,0:00:07.00,0:00:09.00,Default,,0000,0000,0000,,is Left or Right Associative,
Dialogue: 0,0:00:09.00,0:00:14.00,Default,,0000,0000,0000,,I'm still not sure, when there are multiple operations, which one to do first.
Dialogue: 0,0:00:14.00,0:00:16.00,Default,,0000,0000,0000,,I could do the Multiplication first,
Dialogue: 0,0:00:16.00,0:00:18.00,Default,,0000,0000,0000,,and get: 8 + 6 is 14
Dialogue: 0,0:00:18.00,0:00:21.00,Default,,0000,0000,0000,,or I could do the Addition first,
Dialogue: 0,0:00:21.00,0:00:25.00,Default,,0000,0000,0000,,and get: 2 * 10 is 20.
Dialogue: 0,0:00:25.00,0:00:27.00,Default,,0000,0000,0000,,This isn't the same problem as associativity
Dialogue: 0,0:00:27.00,0:00:30.00,Default,,0000,0000,0000,,because it's not about whether we're associating to the Left or the Right,
Dialogue: 0,0:00:30.00,0:00:33.00,Default,,0000,0000,0000,,it's about the--sort of the precedence of these Operators.
Dialogue: 0,0:00:33.00,0:00:35.00,Default,,0000,0000,0000,,which one is more important,
Dialogue: 0,0:00:35.00,0:00:37.00,Default,,0000,0000,0000,,which one should I deal with first--
Dialogue: 0,0:00:37.00,0:00:39.00,Default,,0000,0000,0000,,which one binds more tightly.
Dialogue: 0,0:00:39.00,0:00:42.00,Default,,0000,0000,0000,,In Standard mathematics, we'd want to do the multiplication first.
Dialogue: 0,0:00:42.00,0:00:45.00,Default,,0000,0000,0000,,Multiplication has higher precedence than Addition.
Dialogue: 0,0:00:45.00,9:59:59.99,Default,,0000,0000,0000,,It gets serviced first.