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Results tagged with soft-question
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user 144779
Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
5
votes
Are there any other examples where "weak" and "strong" are confused in mathematics?
In my experience, most of the time a statement $A$ is said to be "weaker" than $B$, the statement $B$ implies $A$, but the converse does not hold. However, I have sometimes seen "weaker" being used in …
- 961
2
votes
What are your favorite instructional counterexamples?
For a function $f:\mathbb R^n\to\mathbb R^m$, it is possible for the directional derivatives in all directions to exist at a point without $f$ being continuous there, let alone differentiable. Let $f: …