Monash University

Fundamental theorem of calculus and the definite integral

Recall that an indefinite integral (or antiderivative) is so called as it provides a family of solutions with a constant term. It is called indefinite as the constant \(c\) can take any real value, ...
GitHub

A PID controller for Arduino that implements advanced features often missing from standard libraries. Designed for advanced control strategies.

"Windup" occurs when the integral term grows indefinitely while the actuator is saturated (at max limit). Standard PID calculates d(Error)/dt. This library calculates ...
C&EN

A General Framework of Scanning Tunneling Microscopy Based on Bardeen’s Approximation for Isolated Molecules

Collaborative Innovation Center of Chemistry for Energy Materials, Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials, MOE Key Laboratory of Computational Physical Sciences, ...
PNAS

The area rule for circulation in three-dimensional turbulence

Circulation around closed loops is important in classical and quantum fluids, as well as condensed matter in the solid state. This paper deals with the statistical theory of circulation in ...
IEEE

Study on Composite Electromagnetic Scattering Characteristics of Low-Altitude Target Above Valley Composite Rough Surface Using Hybrid SBR-EEC Method

Abstract: The composite electromagnetic (EM) scattering characteristics of low-altitude target above valley composite rough surface are studied. The composite rough surface modeling theory is adopted ...
PNAS

Self-recognition and self-selection in multicomponent supramolecular coordination networks on surfaces

Self-recognition, self-selection, and dynamic self-organization are of fundamental importance for the assembly of all supramolecular systems, but molecular-level information is not generally ...