The Effect of the Sensitivity Parameter in Weighted Essentially Non-oscillatory Methods

2016 ◽  
pp. 23-50
Author(s):  
Bo Dong ◽  
Sigal Gottlieb ◽  
Yulia Hristova ◽  
Yan Jiang ◽  
Haijin Wang
Keyword(s):  
Sensitivity Parameter

scholarly journals When Is a Sensitivity Parameter Exactly That?

2018 ◽  
Vol 33 (1) ◽  
pp. 86-95 ◽  
Author(s):  
Paul Gustafson ◽  
Lawrence C. McCandless
Keyword(s):  
Sensitivity Parameter

Benzhydrylium and tritylium ions: complementary probes for examining ambident nucleophiles

2015 ◽  
Vol 87 (4) ◽  
pp. 341-351 ◽  
Author(s):  
Armin R. Ofial
Keyword(s):  
Free Energy ◽  
Rate Constants ◽  
The Other ◽  
Steric Effects ◽  
Linear Free Energy Relationship ◽  
Reliable Tool ◽  
Linear Free Energy ◽  
Sensitivity Parameter ◽  
Meldrum's Acids ◽  
Kinetics Of

AbstractThe linear free energy relationship log k = sN(N + E) (eq. 1), in which E is an electrophilicity, N is a nucleophilicity, and sN is a nucleophile-dependent sensitivity parameter, is a reliable tool for predicting rate constants of bimolecular electrophile-nucleophile combinations. Nucleophilicity scales that are based on eq. (1) rely on a set of structurally similar benzhydrylium ions (Ar2CH+) as reference electrophiles. As steric effects are not explicitely considered, eq. (1) cannot unrestrictedly be employed for reactions of bulky substrates. Since, on the other hand, the reactions of tritylium ions (Ar3C+) with hydride donors, alcohols, and amines were found to follow eq. (1), tritylium ions turned out to be complementary tools for probing organic reactivity. Kinetics of the reactions of Ar3C+ with π-nucleophiles (olefins), n-nucleophiles (amines, alcohols, water), hydride donors and ambident nucleophiles, such as the anions of 5-substituted Meldrum’s acids, are discussed to analyze the applicability of tritylium ions as reference electrophiles.

Kinematic sensitivity, parameter identification and calibration of a non-fully symmetric parallel Delta robot

2021 ◽  
Vol 161 ◽  
pp. 104311
Author(s):  
Huiping Shen ◽  
Qingmei Meng ◽  
Ju Li ◽  
Jiaming Deng ◽  
Guanglei Wu
Keyword(s):  
Parameter Identification ◽  
Sensitivity Parameter ◽  
Delta Robot ◽  
Kinematic Sensitivity

Eliciting a Counterfactual Sensitivity Parameter

2007 ◽  
Vol 61 (1) ◽  
pp. 56-63 ◽  
Author(s):  
Bryan E Shepherd ◽  
Peter B Gilbert ◽  
Devan V Mehrotra
Keyword(s):  
Sensitivity Parameter

scholarly journals Bayesian causal mediation analysis with multiple ordered mediators

2018 ◽  
Vol 19 (6) ◽  
pp. 634-652
Author(s):  
Tianming Gao ◽  
Jeffrey M Albert
Keyword(s):  
Mediation Analysis ◽  
Mixed Model ◽  
Dental Health ◽  
Health Study ◽  
Mediation Effects ◽  
Causal Mediation ◽  
Causal Pathways ◽  
Sensitivity Parameter ◽  
Causal Pathway ◽  
Causal Mediation Analysis

Causal mediation analysis provides investigators insight into how a treatment or exposure can affect an outcome of interest through one or more mediators on causal pathway. When multiple mediators on the pathway are causally ordered, identification of mediation effects on certain causal pathways requires a sensitivity parameter to be specified. A mixed model-based approach was proposed in the Bayesian framework to connect potential outcomes at different treatment levels, and identify mediation effects independent of a sensitivity parameter, for the natural direct and indirect effects on all causal pathways. The proposed method is illustrated in a linear setting for mediators and outcome, with mediator-treatment interactions. Sensitivity analysis was performed for the prior choices in the Bayesian models. The proposed Bayesian method was applied to an adolescent dental health study, to see how social economic status can affect dental caries through a sequence of causally ordered mediators in dental visit and oral hygiene index.

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