The accelerated growth rate of repository entries in crystallographic databases makes it
arduous to identify and classify their prototype structures. The open-source AFLOW …

Let n∈ ℤ with n≥ 3. Let S n and A n denote, respectively, the symmetric group and
alternating group on n letters. Let m be an indeterminate, and define fm (x):= xn+ a (m, n) x+ …

The surface modification of polytetrafluoroethylene (PTFE) by microwave plasma treatment
was investigated by means of contact angle measurement and esca studies. Various gases …

It seems to be a common view that in order to interpret probabilistic first-order sentences,
either a statistical approach that counts (tuples of) individuals has to be used, or the …

Finite fields are widely used in constructing error-correcting codes and cryptographic
algorithms. In practice, error-correcting codes use small finite fields to achieve high …

Functions are an essential concept in mathematics. The studies that have examined
functions in advanced contexts have primarily focused on students' reasoning about specific …

Combinational optimization (CO) is a topic in applied mathematics, decision science and
computer science that consists of finding the best solution from a non-exhaustive search. CO …

The concept of function is critical in mathematics in general and abstract algebra in
particular. We observe, however, that much of the research on functions in abstract algebra …

The principle of maximum entropy has proven to be a powerful approach for commonsense
reasoning in probabilistic conditional logics on propositional languages. Due to this …

Euclidean Jordan algebras are the abstract foundation for symmetric cone optimization.
Every element in a Euclidean Jordan algebra has a complete spectral decomposition …