Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Curse of Dimensionality for Numerical Integration of Smooth
  Functions   We prove the curse of dimensionality for multivariate integration of C^r
functions: The number of needed function values to achieve an error \epsilon\
is larger than c_r (1+\gamma)^d for \epsilon\le \epsilon_0, where c_r,\gamma>0
and d is the dimension. The proofs are based on volume estimates for r=1
together with smoothing by convolution. This allows us to obtain smooth fooling
functions for r>1.

23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th