The reverse degree distance of a connected graph G is defined in discrete mathematical chemistry as D(G) = 2(n− 1)md− ∑

In 1864, Waage and Guldberg formulated the “law of mass action.” Since that time, chemists, chemical engineers, physicists and mathematicians have amassed a great deal of knowledge on the topic. In our view, sufficient understanding has been acquired to warrant a formal mathematical consolidation. A major goal of this consolidation is to solidify the mathematical foundations of mass action chem...

1 Department of Applied Mathematics, Arizona State University, Tempe, AZ 2 Department of Chemistry and Biochemistry, Arizona State University, Tempe, AZ 3 School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 4 Department of Physics, National University of Salta, Salta, Argentina 5 School of Human Evolution and Social Change, Arizona State University, Tempe, AZ 6 ...

1 Center for Theoretical Chemistry and Physics, New Zealand Institute for Advanced Study, Massey University Albany, Auckland 0745, New Zealand 2Department of Mathematics, Eastern Mediterranean University, Famagusta, TRNC, Mersin 10, Turkey 3 Department of Mathematical Sciences, University of Agder, Serviceboks 422, 4604 Kristiansand, Norway 4Department of Mathematics and Mathematical Statistics...

Mathematical models and numerical algorithms are explored for several technological challenges in physics, chemistry, aerothermodynamics, and evolution of dynamic systems in economics and weather forecast. Various mathematical concepts are examined to evaluate multifold integrals, dynamics of strange attractors, and solutions of differential equations with small parameters at the highest deriva...

Symmetric Division Deg index is one of the 148 discrete Adriatic indices that showed good predictive properties on the testing sets provided by International Academy of Mathematical Chemistry. Symmetric Division Deg index is defined by $$ SDD(G) = sumE left( frac{min{d_u,d_v}}{max{d_u,d_v}} + frac{max{d_u,d_v}}{min{d_u,d_v}} right), $$ where $d_i$ is the degree of vertex $i$ in graph $G$. In th...

Note that the constraints can only be satisfied if both √ λG − zr and √ 1− λH − zs have only non-negative entries and z ≤ 0. In this case the ∗Felix Bernstein Institute for Mathematical Statistics in the Biosciences and Institute for Mathematical Stochastics, University of Göttingen, Goldschmidtstraße 7, 37077 Göttingen †Max Planck Institute for Biophysical Chemistry, Am Faßberg 11, 37077 Götti...