Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An improved bound for the rigidity of linearly constrained frameworks   We consider the problem of characterising the generic rigidity of bar-joint
frameworks in $\mathbb{R}^d$ in which each vertex is constrained to lie in a
given affine subspace. The special case when $d=2$ was previously solved by I.
Streinu and L. Theran in 2010 and the case when each vertex is constrained to
lie in an affine subspace of dimension $t$, and $d\geq t(t-1)$ was solved by
Cruickshank, Guler and the first two authors in 2019. We extend the latter
result by showing that the given characterisation holds whenever $d\geq 2t$.

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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: gr-qc