Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Introducing and Applying S.C.E Model under Dusart's Inequality to Prove
  Goldbach's Strong Conjecture for 72 typical structures out of all 75
  structural types of Even Numbers   In this paper, we present a relative proof for Goldbach's strong conjecture.
To this end, we first present a heuristic model for representing even numbers
called Semi-continuous Model for Even Numbers or briefly S.C.E Model, and then
by using this model we categorize all even numbers into 75 distinct typical
structures. Also in this direction, we employ this model along with the
following inequality to obtain the relative proof $$\frac{x}{\ln x}\leq_{x\geq
17}\pi(x)\leq_{x>1}1.2251\frac{x}{\ln x}\ ,$$ where $\pi(x)$ denotes the number
of all primes smaller than and equal to $x$. This inequality is presented by
Pierre Dusart in his paper [P. Dusart, \textit{Explicit estimates of some
functions over primes}, Ramanujan J. \textbf{45} (2016), No. 1, 227--251]. In
fact, by relative proof we mean that 72 typical structures out of 75 ones
satisfy Goldbach's strong conjecture.

18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga