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May 30, 2019 at 21:06 comment added Alanwang The result of $l_1$ distance looks really interesting. Could you provide more details (e.g., in terms of what theorem or proof) about the inequality $$ \sum_i v_i (B_1(s,\varepsilon e_i)\cap K)\subset B_1(s,v)\cap K $$
May 30, 2019 at 18:48 comment added fedja The $\ell^1$ distance has been discussed at mathoverflow.net/questions/331980/… The other two cases look more interesting.
May 30, 2019 at 17:31 comment added Alanwang The distance can be $L_1$ or $L_2$. The two balls have the same radius. Given the fixed distance, the two balls can have different overlaps. The aim is to find the minimum overlap between the two balls.
May 30, 2019 at 14:26 comment added Alanwang $L_1$, $L_2$, or $L_{infinity}$
May 30, 2019 at 7:11 comment added Sahil Kumar What is the meaning of "minimum volume" here? Minimum with respect to different radius balls?
May 30, 2019 at 5:23 comment added Martin Sleziak I will point out that the (geometry) tag is deprecated - see the tag-info. (However, I'll leave the choice of a suitable geometry-related top-level tags to more experienced users.)
May 30, 2019 at 1:46 comment added fedja Distance in what norm?
May 30, 2019 at 0:18 history edited LSpice CC BY-SA 4.0
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May 29, 2019 at 22:10 review Close votes
May 30, 2019 at 0:18
May 29, 2019 at 20:55 review First posts
May 29, 2019 at 21:52
May 29, 2019 at 20:51 history asked Alanwang CC BY-SA 4.0