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Results tagged with differential-algebra
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user 8133
11
votes
0
answers
299
views
Can every "not-too-big" differential field be thought of as actually consisting of functions?
Previously asked and bountied at MSE without success:
Let $\sim$ denote the "no-disagreement" relation between partial functions: $f\sim g$ iff there is no $x$ such that $f(x)$ and $g(x)$ are each def …
- 20.5k
3
votes
0
answers
89
views
Can the differential field of d.c.e. reals be nicely construed as a field of functions?
This question is basically a special case of this older question of mine, which is still unanswered.
Let $\mathcal{D}$ be the field of d.c.e. reals; these turn out to be exactly the reals $\alpha$ for …
- 20.5k