Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ideal Projectors of Type Partial Derivative and Their Perturbations   In this paper, we verify Carl de Boor's conjecture on ideal projectors for
real ideal projectors of type partial derivative by proving that there exists a
positive $\eta\in \mathbb{R}$ such that a real ideal projector of type partial
derivative $P$ is the pointwise limit of a sequence of Lagrange projectors
which are perturbed from $P$ up to $\eta$ in magnitude. Furthermore, we present
an algorithm for computing the value of such $\eta$ when the range of the
Lagrange projectors is spanned by the Gr\"{o}bner \'{e}scalier of their kernels
w.r.t. lexicographic order.

16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat