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non-converging_iteration_in_reals [2007/04/15 19:10] vkuncak |
non-converging_iteration_in_reals [2007/04/15 19:10] vkuncak |
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| This is because $f$ is not continuous. | This is because $f$ is not continuous. | ||
| - | Whenever we converge to some $x^*$, we take $f(x^*)$ and continue iterating and taking limits (the "number of times" to iterate, even if infinite, depends on the size of the lattice, which can be formalized [[ordinal number]]s). | + | Whenever we converge to some $x^*$, we take $f(x^*)$ and continue iterating and taking limits (the "number of times" to iterate, even if infinite, depends on the size of the lattice, which can be formalized [[wk>ordinal number]]s). |