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About 10,000 papers for “coefficient interpretation”

Interpretation of the Second Virial Coefficient

Jaime Wisniak · Journal of Chemical Education · 1999

The second virial coefficient is shown to be related unequivocally to the temperature of Boyle, to the residual volume of a gas, and to the Joule-Thomson effect. From it singular values of the temperature can be determined at which the gas shows apparent ideal behavior in its equation of state only or in specific properties of the ideal gas.

Cited by 12

Interpretation of the amplitude modulation coefficient and a new transport-based coefficient

G. Cui, Ian Jacobi · Journal of Fluid Mechanics · 2025

The amplitude modulation coefficient, $R$ , that is widely used to characterize nonlinear interactions between large- and small-scale motions in wall-bounded turbulence is not compatible with detecting the convective nonlinearity of the Navier–Stokes equations. Through a spectral decomposition of $R$ and a simplified model of triadic convective interactions, we show that $R$ suppresses the signature of convective scale interactions, but is strongly influenced by linear interactions between large-scale motions and the background mean flow. We propose an additional coefficient that is specifically designed for the detection of convective nonlinearities, and we show how this new coefficient, $R_T$ , quantifies the turbulent kinetic energy transport involved in turbulent scale interactions and reveals a classical energy cascade across widely separated scales.

Cited by 1Open access

Interpretation of the Correlation Coefficient: A Basic Review

Richard Taylor · Journal of diagnostic medical sonography · 1990

A basic consideration in the evaluation of professional medical literature is being able to understand the statistical analysis presented. One of the more frequently reported statistical methods involves correlation analysis where a correlation coefficient is reported representing the degree of linear association between two variables. This article discusses the basic aspects of correlation analysis with examples given from professional journals and focuses on the interpretations and limitations of the correlation coefficient. No attention was given to the actual calculation of this statistical value.

Cited by 2,337

Unifying interpretation of reflection coefficient and Smith chart definitions

Luciano Boglione, R.T. Webster · IET Microwaves Antennas & Propagation · 2011

This study develops a unifying theory that defines a single transformation from the impedance Z to the reflection coefficient Γ plane independently of the impedance normalisation in use; and the real or complex nature of the characteristic impedance Z0. The study starts off from the Kurokawa's definition of reflection coefficient to discuss the required steps to map Z into Γ and highlights the differences that exist between Kurokawa's and the standard Γ definition. As a logical consequence of the previous discussion, a new definition of reflection coefficient is proposed and validated: the apparent differences stemming from either the standard or Kurokawa's definition of reflection coefficient Γ are easily interpreted as particular cases of the proposed transformation. In the process, the study's unifying definition of reflection coefficient allows and facilitates one consistent interpretation of the Smith chart among the possible Γ definitions, including Kurokawa's. Experimental data supporting the study's conclusions are also presented.

Cited by 4

Energy Balance of Friction and Friction Coefficient in Energetical Interpretation

S. V. Fedorov · SHILAP Revista de lepidopterología · 2015

Sliding friction energy model is proposed. In this model, generalized mechanism of transformation and dissipation of energy under friction the model of elastic-plastic deformation and fracture contact volumes is considered. Energy model of the process of plastic deformation and destruction of solid bodies is based on the concept of ergodynamic of deformable bodies. Equations of energy balance of friction within the structural and energetic interpretation of deformation are proposed. The energy interpretation of the coefficient of friction is showed. From this position the friction coefficient is the most informative characteristic of the process. Experimental friction curves have been generalized. As a result of the energy analysis of friction, the energy diagram of the structural evolution of the friction surfaces is suggested.

Cited by 6Open access

A geometric interpretation of Newtonian impacts with global dissipation coefficient

Christoph Glocker · 2015

The paper treats the frictionless multi-contact collision problem in scleronomic rigid body dynamics according to Newton’s kinematic impact law in terms of inequalities. A geometric construction of the impact law together with related variational formulations is first proposed for the convex case and then extended to the non-convex case of re-entrant corners. The resulting impact law is stated as an inclusion and likewise as a stationary point problem. 1

Cited by 0

A note on a simple interpretation of the Gini coefficient

Walter Sosa Escudero · Económica · 2018

La mayoría de las discusiones intutivas sobre el coeficiente de Gini se basan en áreas de la curva de Lorenz, un concepto abstracto para muchos. Esta breve nota provee una justifación intuitiva del indice de Gini, en base a promedios simples de diferencias de ingresos

Cited by 0Open access

A Note on a Geometric Interpretation of the Correlation Coefficient

Edmond Marks · Journal of Educational Statistics · 1982

An alternate geometric interpretation of the correlation coefficient to that given in most statistics texts for psychology and education is presented. This interpretation is considered to be more consistent with the statistical model for the data, and richer in geometric meaning.

Cited by 11