If you'll use Ubuntu only for everyday tasks (mail, some editing, surfing); it really won't matter. However, as soon as you get into some heavier stuff, it's more than likely that the dual core will pull ahead. I have an AMD3800 (2.4GHz) and a Core 2 Duo 6600 (2.4Ghz) and I notice little difference when doing some lighter work; but as soon as I start compiling software or editing media, the AMD starts lagging noticeably. Alright, 1.8 Ghz is not 2.4 but it will still be at least as fast as the 2.4Ghz single core - providing we are talking about a Core 2 Duo - an AMD dual core with those specs may actually be slower in many tasks. But that also depends on the rest of your hardware (RAM, motherboard, etc).
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