Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Quasi-exact Formula for Ising critical temperatures on Hypercubic
  Lattices   We report a quasi-exact power law behavior for Ising critical temperatures on
hypercubes. It reads $J/k_BT_c=K_0[(1-1/d)(q-1)]^a$ where $K_0=0.6260356$,
$a=0.8633747$, $d$ is the space dimension, $q$ the coordination number
($q=2d$), $J$ the coupling constant, $k_B$ the Boltzman constant and $T_c$ the
critical temperature. Absolute errors from available exact estimates ($d=2$ up
to $d=7$) are always less than $0.0005$. Extension to other lattices is
discussed.

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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: stat
10
The categories of this paper are: q-bio