read and understand the notation and analyses of a wide class of models in the scientific literature, including foundational topics in microeconomics formulate and formalize a wider range of models ...

manipulate them in an efficient manner and solve linear equations algorithmically using the theory on linear algebra read and understand the notation and analyses of a wide class of models in the ...

Math, citizen science and the scientific method are all tools researchers use to investigate evidence of unidentified ...

The new proof broadly consists of three steps: derive the macroscopic theory from the mesoscopic one; derive the mesoscopic ...

Researchers developed a machine-learning model that can predict the structures of transition states of chemical reactions in less than a second, with high accuracy. Their model could make it easier ...

Environmental science is the multidisciplinary study of all aspects of the Earth’s physical and biological environments. It encompasses environmental chemistry, soil science, ecology ...

We then obtain the exact solutions of nonhomogeneous Riemann-Liouville fractional differential equations with pure delay. In addition, this paper explores the Hyers-Ulam stability of nonhomogeneous ...

If a physical equation yields a solution with infinite energy density, the theory must be revised to maintain consistency. These first principles not only constitute the foundation of physics but also ...

It then concentrates on newer developments. In particular it continues with the perturbative solution of the Schrödinger equation for various potentials and thereafter with the introduction and ...

Parallel implementation of algorithms involves many difficult problems. In particular among them are round-off analysis, the way to convert sequential programs and algorithms into the parallel mode, ...