scholarly journals Automatic evaluations of cross-derivatives

2013 ◽  
Vol 83 (285) ◽  
pp. 251-274 ◽  
Author(s):  
Andreas Griewank ◽  
Lutz Lehmann ◽  
Hernan Leovey ◽  
Marat Zilberman
Keyword(s):  
2019 ◽  
Vol 65 (1) ◽  
pp. 41-54
Author(s):  
Piotr Dudziński

The article considers the impact of nonmonetary factors (health) on insurance and self-insurance (against material damage) decisions. Using a two-argument utility function, we prove that the health deterioration leads to increased demand for insurance if the decision-maker is cross-prudent in health and if wealth and health are complements. Those conditions are equivalent to positivity of second and third order degree cross-derivatives of the utility function. Second part of the article considers analogous effect of health deterioration on self-insurance. In this case the result depends additionally on effectivity of self-insurance as a function of the state of the world.


2006 ◽  
Vol 03 (01) ◽  
pp. 27-52 ◽  
Author(s):  
FRANÇOIS BOUCHUT ◽  
HERMANO FRID

We propose finite difference schemes for multidimensional quasilinear parabolic systems whose main feature is the introduction of correctors which control the second-order terms with mixed derivatives. We show that with these correctors the schemes inherit physically relevant properties present at the continuous level, such as the existence of invariant domains and/or the nonincrease of the total amount of entropy. The analysis is performed with some general tools that could be used also in the analysis of finite volume methods based on flux vector splitting for first-order hyperbolic problems on unstructured meshes. Applications to the compressible Navier–Stokes system are given.


2001 ◽  
Vol 121 (2-3) ◽  
pp. 301-312 ◽  
Author(s):  
John C Adams ◽  
Piotr Smolarkiewicz

1974 ◽  
Author(s):  
K. ORLIK-RUECKEMANN ◽  
J. LABERGE ◽  
E. HANFF
Keyword(s):  

Author(s):  
Krishnanand P. Kulkarni ◽  
Nicholi Vorsa ◽  
Purushothaman Natarajan ◽  
Sathya Elavarthi ◽  
Massimo Iorizzo ◽  
...  

Blueberries (Vaccinium section Cyanococcus) are perennial shrubs widely cultivated for their edible fruits. In this study, we used admixture and genetic relatedness analysis of northern highbush (NHB, V. corymbosum) and southern highbush (SHB, V. darrowii) blueberry genotypes and F2 progenies of the V. corymbosum × V. darrowii cross. Using genotyping-by-sequencing (GBS), we generated ~3.34 billion reads (75 bp). The GBS reads were aligned to the Vaccinium corymbosum cv. Draper v1.0 reference genome sequence, and ~2.8 million reads were successfully mapped. From the alignments, we identified 2,244,039 single nucleotide polymorphisms (SNPs), which were used for principal component, haplotype, and admixture analysis. PCA formed three main groups: 1) NHB cultivars, 2) SHB cultivars, and 3) BNJ16-5 progenies. The overall fixation index (FST) and nucleotide diversity for NHB and SHB, indicated wide genetic differentiation, and haplotype analysis revealed that SHB cultivars are more genetically diverse than NHB cultivars. The admixture analysis identified a mix of various lineages of parental genomic introgression. This study demonstrated the effectiveness of GBS-derived SNP markers in genetic and admixture analyses to reveal genetic relatedness and to examine parental lineages in blueberry, which may be useful for future breeding plans.


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