Experimental modeling of physical laws

Experimental Information and Statistical Modeling of Physical Laws

Statistical modeling of physical laws connects experiments with mathematical descriptions of natural phenomena. The modeling is based on the probability density of measured variables expressed by experimental data via a kernel estimator. As an objective kernel the scattering function determined by calibration of the instrument is introduced. This function provides for a new definition of experi...

Extraction of physical laws from joint experimental data

The extraction of a physical law y = yo(x) from joint experimental data about x and y is treated. The joint, the marginal and the conditional probability density functions (PDF) are expressed by given data over an estimator whose kernel is the instrument scattering function. As an optimal estimator of yo(x) the conditional average is proposed. The analysis of its properties is based upon a new ...

Laws of Physical Systems

Physical and Mathematical Modeling in Experimental Papers

An increasing number of publications include modeling. Often, such studies help us to gain a deeper insight into the phenomena studied and break down barriers between experimental and theoretical communities. However, combining experimental and theoretical work is challenging for authors, reviewers, and readers. To help maximize the usefulness and impact of combined theoretical and experimental...

Physical laws shape biology.

PRIMARY TROPICAL FORESTS ARE POWERhouses of biodiversity (1) but are rapidly declining in extent and are threatened even within some protected areas (2). As a result, non-primary forests, especially those that have been selectively logged, are becoming more important to conservation efforts. In the tropics, logging is almost always selective, targeting only certain commercially valuable tree sp...