scholarly journals Comment on “A quantitative definition of hypervalency” by M. C. Durrant, Chem. Sci., 2015, 6, 6614

2016 ◽  
Vol 7 (5) ◽  
pp. 3443-3447 ◽  
Author(s):  
Richard D. Harcourt ◽  
Thomas M. Klapötke
Keyword(s):  
Definition Of ◽  
Quantitative Definition ◽  
Increased Valence

Consideration is given to (electronically) hypervalent increased-valence structures, which possess 2c–1e bonds, fractional 2c–2e bonds, and usually normal 2c–2e bonds.

scholarly journals Reply to the ‘Comment on “A quantitative definition of hypervalency”’ by R. D. Harcourt and T. M. Klapötke, Chem. Sci., 2016, 7, DOI: 10.1039/C5SC04866D

2016 ◽  
Vol 7 (5) ◽  
pp. 3448-3449 ◽  
Author(s):  
Marcus C. Durrant
Keyword(s):  
Chemical Bonding ◽  
Quantum Mechanical ◽  
Quantum Approach ◽  
Definition Of ◽  
Quantitative Definition ◽  
The Relationship ◽  
Increased Valence

The Lewis and quantum mechanical theories of chemical bonding are compared and contrasted, with a view to clarifying the relationship between Harcourt’s ‘increased valence’ quantum approach and the recently proposed quantitative definition of hypervalency.

scholarly journals Defining and Quantifying Intermittency in the Power Sector

Energies ◽  
2020 ◽  
Vol 13 (13) ◽  
pp. 3366
Author(s):  
Daniel Suchet ◽  
Adrien Jeantet ◽  
Thomas Elghozi ◽  
Zacharie Jehl
Keyword(s):  
Power Source ◽  
Production Data ◽  
Power Sector ◽  
Predictive Capacity ◽  
The Public ◽  
Current State ◽  
Definition Of ◽  
Quantitative Definition ◽  
The Impact

The lack of a systematic definition of intermittency in the power sector blurs the use of this term in the public debate: the same power source can be described as stable or intermittent, depending on the standpoint of the authors. This work tackles a quantitative definition of intermittency adapted to the power sector, linked to the nature of the source, and not to the current state of the energy mix or the production predictive capacity. A quantitative indicator is devised, discussed and graphically depicted. A case study is illustrated by the analysis of the 2018 production data in France and then developed further to evaluate the impact of two methods often considered to reduce intermittency: aggregation and complementarity between wind and solar productions.

scholarly journals Quantifying Legal Entropy

2021 ◽  
Vol 9 ◽  
Author(s):  
Ted Sichelman
Keyword(s):  
Information Theory ◽  
Information Content ◽  
Legal System ◽  
Legal Systems ◽  
Information Costs ◽  
Precise Quantification ◽  
The Law ◽  
Legal Contexts ◽  
Definition Of ◽  
Quantitative Definition

Many scholars have employed the term “entropy” in the context of law and legal systems to roughly refer to the amount of “uncertainty” present in a given law, doctrine, or legal system. Just a few of these scholars have attempted to formulate a quantitative definition of legal entropy, and none have provided a precise formula usable across a variety of legal contexts. Here, relying upon Claude Shannon's definition of entropy in the context of information theory, I provide a quantitative formalization of entropy in delineating, interpreting, and applying the law. In addition to offering a precise quantification of uncertainty and the information content of the law, the approach offered here provides other benefits. For example, it offers a more comprehensive account of the uses and limits of “modularity” in the law—namely, using the terminology of Henry Smith, the use of legal “boundaries” (be they spatial or intangible) that “economize on information costs” by “hiding” classes of information “behind” those boundaries. In general, much of the “work” performed by the legal system is to reduce legal entropy by delineating, interpreting, and applying the law, a process that can in principle be quantified.

scholarly journals Shape Analysis of the Patellar Bone Surface and Cutting Plane for Knee Replacement Surgery

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
E. L. Rex ◽  
J. Werle ◽  
B. C. Burkart ◽  
J. R. MacKenzie ◽  
K. D. Johnston ◽  
...  
Keyword(s):  
Knee Replacement ◽  
Shape Analysis ◽  
Cutting Plane ◽  
X Rays ◽  
Anterior Surface ◽  
Knee Replacement Surgery ◽  
Replacement Surgery ◽  
Contact Points ◽  
Definition Of ◽  
Quantitative Definition

Geometry of the patella (kneecap) remains poorly understood yet is highly relevant to performing the correct patellar cut to reduce pain and to improve function and satisfaction after knee replacement surgery. Although studies routinely refer to “parallel to the anterior surface” and “the patellar horizon,” a quantitative definition of these is lacking and significant variability exists between observers for this irregularly-shaped bone. A 2D-3D shape analysis technique was developed to determine the optimal device configuration for contacting the patellar surface. Axial and sagittal pseudo-X-rays were created from 18 computed tomography (CT) scans of cadaveric knees. Four expert surgeons reviewed three repetitions of the X-rays in randomized order, marking their desired cut plane and their estimate of the anterior surface. These 2D results were related back to the 3D model to create the desired plane. There was considerable variability in perceptions, with intra- and intersurgeon repeatability (standard deviations) ranging from 1.3° to 2.4°. The best configuration of contact points to achieve the desired cutting plane was three pegs centred on the patellar surface, two superior and one inferior, forming a 16 mm equilateral triangle. This configuration achieved predicted cut planes within 1° of the surgeon ranges on all 18 patellae. Implementing this, as was done in a subsequent prototype surgical device, should help improve the success and satisfaction of knee replacement surgery.

scholarly journals P1764 A unifying concept for the quantitative definition of functional mitral regurgitation

2020 ◽  
Vol 21 (Supplement_1) ◽  
Author(s):  
P Bartko ◽  
H Arfsten ◽  
G Heitzinger ◽  
N Pavo ◽  
A Toma ◽  
...  
Keyword(s):  
Mitral Regurgitation ◽  
Cox Regression ◽  
Expert Consensus ◽  
Functional Mitral Regurgitation ◽  
Complex Nature ◽  
P Value ◽  
Intermediate Risk ◽  
Cox Regression Analysis ◽  
Definition Of ◽  
Quantitative Definition

Abstract Background Diverging guideline definitions for the quantitative assessment of severe secondary mitral regurgitation (sMR) reflect the lacking link of the sMR spectrum to mortality and has introduced a source of uncertainty and continuing debate. Objectives The current study aimed to define improved risk-thresholds specifically tailored to the complex nature of sMR that provide a unifying solution to the ongoing guideline-controversy. Methods We enrolled 423 heart failure patients under guideline directed medical therapy and assessed sMR by effective regurgitant orifice area (EROA), regurgitant volume (RegVol) and regurgitant fraction (RegFrac). Results Measures of sMR severity were consistently associated with 5-year mortality with a HR for a 1-SD increase of 1.42 (95%CI 1.25-1.63, P < 0.001) for EROA, 1.37 (95%CI 1.20-1.56, P < 0.001) for RegVol and 1.50 (95%CI 1.30-1.73, P < 0.001) for RegFrac. Results remained statistically significant after bootstrap- or clinical confounder-based adjustment. Spline-curve analyses (Figure 1A-C) showed a linearly increasing risk enabling to stratify in low-risk (EROA < 20mm2 and RegVol < 30ml), intermediate-risk (EROA 20-30mm2 and RegVol 30-45ml) and, high-risk (EROA≥30mm2 and RegVol≥45ml). In the intermediate-risk group, a RegFrac ≥50% as indicator for hemodynamic severe sMR was associated with poor outcome (P = 0.017). A unifying concept based on combined assessment of the EROA, the RegVol, and the RegFrac (Figure 1D) showed a significantly better discrimination compared to the currently established algorithms (Table 1). Conclusions Risk-based thresholds tailored to the pathophysiological concept of sMR provide a unifying solution to the ongoing guideline controversy. An algorithm based on the combined assessment of the unifying cut-offs for EROA, RegVol and RegFrac improves risk prediction compared to currently established grading. Table 1 Definition of severe sMR Cox regression analysis ROC analysis IDI analysis HR (95%CI) P-Value ROC P-Value-for-comparison IDI P-Value Unifying concept 3.76 (2.71-5.23) <0.001 0.63 –- –- –- ACC/AHA definition 3.20 (2.14-4.78) <0.001 0.57 <0.001 0.06 <0.001 ESC/EACTS definition 1.52 (1.10-2.09) 0.01 0.55 <0.001 0.13 <0.001 ACC/ASE expert consensus 1.89 (1.40-2.56) <0.001 0.59 0.04 0.08 <0.001 Comparison of the unifying concept with the ACC/AHA, ESC/EACTS and ACC/ASE expert consensus definitions of sMR by Cox regression, ROC, and IDI demonstrated the most powerfull prediction by the unifying concept with significantly higher ROC area under the curve and better discriminatory power by IDI. Abstract P1764 Figure 1 A-D

Results of the BRD CAP project: progress toward identifying genetic markers associated with BRD susceptibility

2014 ◽  
Vol 15 (2) ◽  
pp. 157-160 ◽  
Author(s):  
Alison Van Eenennaam ◽  
Holly Neibergs ◽  
Christopher Seabury ◽  
Jeremy Taylor ◽  
Zeping Wang ◽  
...  
Keyword(s):  
Association Studies ◽  
Clinical Signs ◽  
The United States ◽  
Feedlot Cattle ◽  
United States Department ◽  
Genome Wide Association Studies ◽  
Dairy Calf ◽  
Definition Of ◽  
Genetic Evaluations ◽  
Quantitative Definition

AbstractThe Bovine Respiratory Disease Coordinated Agricultural Project (BRD CAP) is a 5-year project funded by the United States Department of Agriculture (USDA), with an overriding objective to use the tools of modern genomics to identify cattle that are less susceptible to BRD. To do this, two large genome wide association studies (GWAS) were conducted using a case:control design on preweaned Holstein dairy heifers and beef feedlot cattle. A health scoring system was used to identify BRD cases and controls. Heritability estimates for BRD susceptibility ranged from 19 to 21% in dairy calves to 29.2% in beef cattle when using numerical scores as a semi-quantitative definition of BRD. A GWAS analysis conducted on the dairy calf data showed that single nucleotide polymorphism (SNP) effects explained 20% of the variation in BRD incidence and 17–20% of the variation in clinical signs. These results represent a preliminary analysis of ongoing work to identify loci associated with BRD. Future work includes validation of the chromosomal regions and SNPs that have been identified as important for BRD susceptibility, fine mapping of chromosomes to identify causal SNPs, and integration of predictive markers for BRD susceptibility into genetic tests and national cattle genetic evaluations.

Phonological planes and spaces A quantitative study on five corpora

1996 ◽  
Vol 113-114 ◽  
pp. 349-378
Author(s):  
Marc Bourdeau ◽  
Jean-Pierre Tubach
Keyword(s):  
Quantitative Study ◽  
Qualitative Description ◽  
French Language ◽  
Statistical Methodology ◽  
Long Time ◽  
Polish Language ◽  
Definition Of ◽  
Quantitative Definition

Abstract We describe a statistical methodology that provides a quantitative definition of the concept of phonological space that has been used for a long time as a purely qualitative description of languages. We apply this description to five corpora : four of French language, and one of Polish language. We obtain cartesian planes where the speakers are represented as points. We show that we can discriminate the five corpora. We end by pointing to applications to the learning and destruction of phonological capabilities.

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