The phrase "analysis of the free" is grammatically correct but may lack clarity without context.
It can be used in discussions related to economics, philosophy, or social sciences, where "the free" might refer to free markets, free will, or free resources.
Example: "The analysis of the free reveals important insights into human behavior and decision-making processes."
Alternatives: "examination of freedom" or "study of the free".
A finite element code is developed for structural response analysis of the free and forced vibration.
An analysis of the free flexural vibrations of elastic circular plates with initial imperfections is presented.
Models of the different drag torque sources are validated from analysis of the free damped response of the driveline.
An analysis of the free transverse vibrations of a cantilevered plate is performed by means of a variational approximation procedure.
In this paper, the analysis of the free vibration of thin laminated skew plates with fully clamped edges is investigated.
An analysis of the free modes of propagation on an infinite, fluid-loaded cylindrical shell is presented.
Our comparative analysis of the free-energy landscapes of instability pathways shows that coil unzipping is a sequential process involving multiple intermediates.
The analytical exact solutions for the deflection and volume displacement of the diaphragm without fluid load are derived by the analysis of the free-body model.
This review is designed to summarize our knowledge of nematode biogenic amine signaling and preliminarily identify some of the key receptors involved in the regulation of biogenic amine-dependent behaviors through an analysis of the free-living nematode, Caenorhabditis elegans.
In this article, we address this problem through the application of a mixed simulation scheme in which a preliminary coarse-grained Monte Carlo analysis of the free-energy landscape is used to identify representative conformations of the aggregates and subsequent all-atom molecular dynamics simulations are used to analyze in detail possible pathways for the stabilization of oligomers.
Analysis of the free-energy landscape found two types of minima for transmembrane peptides: i), Surface-bound configurations with the helix long axis parallel to the membrane, and ii), inserted configurations with the helix spanning the membrane in a perpendicular orientation.
