Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Theory of Concepts and Their Combinations II: A Hilbert Space
  Representation   The sets of contexts and properties of a concept are embedded in the complex
Hilbert space of quantum mechanics. States are unit vectors or density
operators, and contexts and properties are orthogonal projections. The way
calculations are done in Hilbert space makes it possible to model how context
influences the state of a concept. Moreover, a solution to the combination of
concepts is proposed. Using the tensor product, a procedure for describing
combined concepts is elaborated, providing a natural solution to the pet fish
problem. This procedure allows the modeling of an arbitrary number of combined
concepts. By way of example, a model for a simple sentence containing a
subject, a predicate and an object, is presented.

7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat