Correlation of the volumetric properties of fluorinated ethers by the group-contribution volume-ratio method

1995 ◽  
Vol 16-16 (1) ◽  
pp. 111-119 ◽  
Author(s):  
R. Malhotra ◽  
W. A. Van Hook ◽  
L. A. Woolf
Keyword(s):  
Volume Ratio ◽  
Group Contribution ◽  
Ratio Method ◽  
Volumetric Properties ◽  
Fluorinated Ethers

scholarly journals A Ratio Method for Calculating Stem Volume to Variable Merchantable Limits, and Associated Taper Equations

1988 ◽  
Vol 64 (1) ◽  
pp. 18-26 ◽  
Author(s):  
I. S. Alemdag
Keyword(s):  
Acer Saccharum ◽  
Sugar Maple ◽  
Independent Set ◽  
Volume Ratio ◽  
Tree Height ◽  
Ratio Method ◽  
Stem Volume ◽  
Statistical Measures ◽  
Fit Index ◽  
Taper Equations

One method for estimating the volume of the merchantable portion of a tree stem is the volume ratio method. In this study the ratio used with this method was derived from another ratio expressed as ground-to-limit volume to total stem volume. Because of the latter ratio's strong correlation with the ratio of merchantable top diameter/breast height diameter and merchantable height/total tree height, several mathematical models were formed employing these variables for its estimation for red pine (Pinus resinosa Ait.) and sugar maple (Acer saccharum Marsh.). Among the models that were tested, the best for each variable was chosen by assessing its adequacy by the statistical measures of fit index and standard error of estimate. When checked against an independent set of data, these best models performed satisfactorily, with small overall biases. Furthermore, taper equations were derived from these ground-to-limit volume ratio equations.

scholarly journals Study on stress simulation of concrete floor on transversely isotropic equivalent pile foundation during construction period

2019 ◽  
Vol 275 ◽  
pp. 03005
Author(s):  
Min Yuan ◽  
Sheng Qiang ◽  
Minjie Hu ◽  
Yedong Zhang ◽  
Hongdan Wang
Keyword(s):  
Numerical Simulation ◽  
Elastic Modulus ◽  
Calculation Result ◽  
Pile Foundation ◽  
Volume Ratio ◽  
Transversely Isotropic ◽  
Ratio Method ◽  
Calculation Error ◽  
Construction Period ◽  
Concrete Floor

In the concrete pouring process of large pumping stations, the pile foundation plays an important role in supporting the upper structures, and also has a certain constraint on the concrete floor. In the numerical simulation calculation of construction period, to simplify the pre-processing, the volume ratio method is sometimes applied to regard the pile and surrounding soil foundation as the equivalent pile foundation, while the anisotropy of pile foundation is ignored, which will result in large calculation error of the horizontal stress of the concrete floor. Aiming at this problem, the anisotropy theory of materials is adopted in this paper to simulate the temperature field and stress field of the concrete floor both on non-equivalent pile foundation and equivalent pile foundation during construction period after compiling corresponding calculation program. The results show that when the ratio α of the horizontal elastic modulus to the vertical elastic modulus of equivalent pile foundation is about 1/20, the calculation result of the transversely isotropic equivalent pile foundation is approximately equal to the calculation result of the non-equivalent pile foundation (exact solution). It may provide some reference to similar engineering numerical simulation.

scholarly journals Group Contribution Method for Evaluation of Volumetric Properties of Ionic Liquids Using Experimental Data Recommended by Mathematical Gnostics

2017 ◽  
Vol 56 (23) ◽  
pp. 6827-6840 ◽  
Author(s):  
Nan Zhao ◽  
Henrique Binotto Menegolla ◽  
Volkan Degirmenci ◽  
Zdeněk Wagner ◽  
Magdalena Bendová ◽  
...  
Keyword(s):  
Experimental Data ◽  
Ionic Liquids ◽  
Group Contribution ◽  
Volumetric Properties ◽  
Group Contribution Method ◽  
Mathematical Gnostics

scholarly journals Improving the quantitative classification of Erlenmeyer flask deformities

2020 ◽  
Vol 50 (2) ◽  
pp. 361-369
Author(s):  
Gautam Adusumilli ◽  
◽  
Joshua D. Kaggie ◽  
Simona D’Amore ◽  
Timothy M. Cox ◽  
...  
Keyword(s):  
Volume Ratio ◽  
Weighted Kappa ◽  
Classification Systems ◽  
Ratio Method ◽  
Point System ◽  
Point Scale ◽  
Erlenmeyer Flask ◽  
Quantitative Classification ◽  
Receiver Operating Characteristic Curves ◽  
Severity Classification

AbstractThe Erlenmeyer flask deformity is a common skeletal modeling deformity, but current classification systems are binary and may restrict its utility as a predictor of associated skeletal conditions. A quantifiable 3-point system of severity classification could improve its predictive potential in disease. Ratios were derived from volumes of regions of interests drawn in 50 Gaucher’s disease patients. ROIs were drawn from the distal physis to 2 cm proximal, 2 cm to 4 cm, and 4 cm to 6 cm. Width was also measured at each of these boundaries. Two readers rated these 100 femurs using a 3-point scale of severity classification. Weighted kappa indicated reliability and one-way analysis of variance characterized ratio differences across the severity scale. Accuracy analyses allowed determination of clinical cutoffs for each ratio. Pearson’s correlations assessed the associations of volume and width with a shape-based concavity metric of the femur. The volume ratio incorporating the metaphyseal region from 0 to 2 cm and the diametaphyseal region at 4–6 cm was most accurate at distinguishing femurs on the 3-point scale. Receiver operating characteristic curves for this ratio indicated areas of 0.95 to distinguish normal and mild femurs and 0.93 to distinguish mild and severe femurs. Volume was moderately associated with the degree of femur concavity. The proposed volume ratio method is an objective, proficient method at distinguishing severities of the Erlenmeyer flask deformity with the potential for automation. This may have application across diseases associated with the deformity and deficient osteoclast-mediated modeling of growing bone.

X-Ray Analysis of Frozen Hydrated Sections:The Unconventional Approach

1982 ◽  
Vol 40 ◽  
pp. 754-757
Author(s):  
R. Beeuwkes ◽  
A. Saubermann ◽  
P. Echlin ◽  
S. Churchill
Keyword(s):  
Ratio Method ◽  
Frozen Sections ◽  
Technical Problems ◽  
Sample Handling ◽  
X Ray ◽  
Common Group ◽  
Ideal Method ◽  
Classic Paper ◽  
Physical Principles ◽  
The Ideal

Fifteen years ago, Hall described clearly the advantages of the thin section approach to biological x-ray microanalysis, and described clearly the ratio method for quantitive analysis in such preparations. In this now classic paper, he also made it clear that the ideal method of sample preparation would involve only freezing and sectioning at low temperature. Subsequently, Hall and his coworkers, as well as others, have applied themselves to the task of direct x-ray microanalysis of frozen sections. To achieve this goal, different methodological approachs have been developed as different groups sought solutions to a common group of technical problems. This report describes some of these problems and indicates the specific approaches and procedures developed by our group in order to overcome them. We acknowledge that the techniques evolved by our group are quite different from earlier approaches to cryomicrotomy and sample handling, hence the title of our paper. However, such departures from tradition have been based upon our attempt to apply basic physical principles to the processes involved. We feel we have demonstrated that such a break with tradition has valuable consequences.

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