ABSTRACT: We investigate a representation of thermodynamic equations ... coefficients also describe the supercritical liquid-side range “water” in an expansion about a rigidity-symmetry (R-S) line ...

The Simulated Bifurcation (SB) algorithm is a fast and highly parallelizable state-of-the-art algorithm for quadratic ... using coefficient tensors or SymPy expressions to define polynomials in a more ...

A row is used for each term in the equation to work out the coordinates. To draw a quadratic graph from an equation: Add up the terms of the quadratic expression, a column at a time, to find the ...

Relative abundances showed great similarity, despite sample-dependent fluctuations (median coefficient of variation 23.4% to 49.2% and 15.5% to 29.5%, respectively). Unsupervised multivariate analysis ...

This study provides valuable insights into how auditory stimuli influence the temporal dynamics of visual perception by modulating brain rhythms (oscillations) in the alpha band. The authors present ...

It also includes applications of modular forms to such diverse subjects as the theory of quadratic forms, the proof of Fermat's last theorem and the approximation of pi. It provides a balanced ...

World Scientific series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest. Each volume in the series shall be devoted to the ...

Department of Chemical and Biomolecular Engineering, University of Connecticut, Storrs, Connecticut 06269, United States Center for Clean Energy Engineering, University of Connecticut, Storrs, ...