Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Another approach to decide on real root existence for univariate
  Polynomials, and a multivariate extension for 3-SAT   We present six Theorems on the univariate real Polynomial, using which we
develop a new algorithm for deciding the existence of atleast one real root for
univariate integer Polynomials. Our algorithm outputs that no positive real
root exists, if and only if, the given Polynomial is a factor of a real
Polynomial with positive coefficients. Next, we define a transformation that
transforms any instance of 3-SAT into a multivariate real Polynomial with
positive coefficients, if and only if, the instance is not satisfiable.

15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con