Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Balanced Partitions of Vector Sequences   Let $d, r \in \N$, $\|\cdot\|$ any norm on $\R^d$ and $B$ denote the unit
ball with respect to this norm. We show that any sequence $v_1,v_2,...$ of
vectors in $B$ can be partitioned into $r$ subsequences $V_1, ..., V_r$ in a
balanced manner with respect to the partial sums: For all $n \in \N$, $\ell \le
r$, we have $\|\sum_{i \le k, v_i \in V_\ell} v_i - \tfrac 1r \sum_{i \le k}
v_i\| \le 2.0005 d$. A similar bound holds for partitioning sequences of vector
sets. Both results extend an earlier one of B\'ar\'any and Grinberg (1981) to
partitions in arbitrarily many classes.

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The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
1
The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: dg-ga