Abstract: Polynomial Lyapunov function V(x) provides mathematically rigorous that converts stability analysis into efficiently solvable optimization problem. Traditional numerical methods rely on user ...

In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...

Explore the consumption function's formula, its role in predicting economic trends, and its impact on income and consumer behavior, as pioneered by John Maynard Keynes.

Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.

This Chl-a model is developed based on the relationship between the maximum band ratio (MBR) of the blue-to-green reflectance (Equation 2) and Chl-a through a fourth-order polynomial function ...

Microsoft adds a new Copilot function to Excel, letting users generate, analyze, and summarize data directly in spreadsheet cells with AI.

User Defined Functions for multi-component thermodynamic calculations of the Predictive Peng-Robinson 1978 Equation of State. Clean VBA functions - no UI changes and no pop up messages. Errors are ...

This useful study shows that stimuli of a certain size elicit theta oscillations in V1 neurons both in spikes and local field potentials, and monkeys performing a dot detection task on these stimuli ...