406,615 research outputs found

    The minimal augmented Zagreb index of k-apex trees for k∈{1,2,3}

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    For a graph G containing no component isomorphic to the 2-vertex path graph, the augmented Zagreb index (AZI) of G is defined as AZI(G)=∑uv∈E(G)([Formula presented])3.This topological index has been proved to be closely correlated with the formation heat of heptanes and octanes. A k-apex tree is a connected graph G admitting a k-subset of vertices X such that G−X is a tree, but for any subset of vertices X′ of order less than k, G−X′ is not a tree. In this paper, we determine the minimum AZI among all k-apex trees for k∈{1,2,3}

    Joshua Davis: Author of Spare Parts

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    Citation: K-State First (2016). Joshua Davis: Author of Spare Parts [Flier]. Manhattan, Kansas: K-State First.Flyer advertising Joshua Davis's author talk at Kansas State University

    Difference based Ridge and Liu type Estimators in Semiparametric Regression Models

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    We consider a difference based ridge regression estimator and a Liu type estimator of the regression parameters in the partial linear semiparametric regression model, y = Xβ + f + ε. Both estimators are analysed and compared in the sense of mean-squared error. We consider the case of independent errors with equal variance and give conditions under which the proposed estimators are superior to the unbiased difference based estimation technique. We extend the results to account for heteroscedasticity and autocovariance in the error terms. Finally, we illustrate the performance of these estimators with an application to the determinants of electricity consumption in Germany.Difference based estimator; Differencing estimator, Differencing matrix, Liu estimator, Liu type estimator, Multicollinearity, Ridge regression estimator, Semiparametric model

    New Liu Estimators for the Poisson Regression Model: Method and Application

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    A new shrinkage estimator for the Poisson model is introduced in this paper. This method is a generalization of the Liu (1993) estimator originally developed for the linear regression model and will be generalised here to be used instead of the classical maximum likelihood (ML) method in the presence of multicollinearity since the mean squared error (MSE) of ML becomes inflated in that situation. Furthermore, this paper derives the optimal value of the shrinkage parameter and based on this value some methods of how the shrinkage parameter should be estimated are suggested. Using Monte Carlo simulation where the MSE and mean absolute error (MAE) are calculated it is shown that when the Liu estimator is applied with these proposed estimators of the shrinkage parameter it always outperforms the ML. Finally, an empirical application has been considered to illustrate the usefulness of the new Liu estimators.Estimation; MSE; MAE; Multicollinearity; Poisson; Liu; Simulation

    Steven Johnson Author Talk Poster

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    K-State Book NetworkA poster advertising an author talk by Steven Johnson at Kansas State University on September 3, 2014. Steven Johnson's book "The Ghost Map" was the 2014-2015 common book

    Shwachman-Diamond Syndrome Protein SBDS Maintains Human Telomeres by Regulating Telomerase Recruitment. Liu et al

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    Original data of main figures including Western blot, Southern blot, immunofluorescence and TBE PAGE results were provided in .tif format. Selected panels were boxed. The detail of each lane was labeled and described in our paper (see Shwachman-Diamond Syndrome Protein SBDS Maintains Human Telomeres by Regulating Telomerase Recruitment. Liu et al)

    Dataset for Giant enhancement of cathodoluminescence of monolayer transitional metal dichalcogenides semiconductors

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    Dataset supporting: Zheng, S., So, J-K., Liu, F., Liu, Z., Zheludev, N., &amp; Fan, H. J. (2017). Giant enhancement of cathodoluminescence of monolayer transitional metal dichalcogenides semiconductors. Nano Letters, 17(10), 6475-6480. DOI: 10.1021/acs.nanolett.7b03585</span

    Theoretical Study on Cyclopeptides as the Nanocarriers for Li+, Na+, K+ and F-, Cl-, Br-

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    The interaction process between a series of cyclopeptide compounds cyclo(Gly)(n) (n = 4, 6, 8) and monovalent ions (Li+, Na+, K+, F-, Cl-, and Br-) was studied using theoretical calculation. The mechanism of combination between the cyclo(Gly)(n) and ions was discussed through binding energy, Mulliken electron population, and hydrogen bond. It was found that for the same cyclopeptide the binding energy has the order of cyclo(Gly)(n)-Li+ &gt; cyclo(Gly)(n)-Na+ &gt; cyclo(Gly)(n)-K+ and cyclo(Gly)(n)-F- &gt; cyclo(Gly)(n)-Br- &gt; cyclo(Gly)(n)-Cl-. The binding energy manifests the stable complex of cyclo(Gly)(n) and ions can be formed, and the different energy shows the potential use of cyclo(Gly)(n) as nanocarriers for metal ions or the extractant for ions separation.</p

    Dataset for: The importance of the heel effect in X-ray CT imaging of soils

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    Dataset supports the paper K. Liu, R. Boardman, M. Mavrogordato, F. A. Loveridge, and W. Powrie &#39;The importance of the heel effect in X-ray CT imaging of soils&#39; in Environmental Geotechnics, https://doi.org/10.1680/jenge.20.00048</span

    Unbiased K-mer Analysis Reveals Changes in Copy Number of Highly Repetitive Sequences During Maize Domestication and Improvement

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    Citation: Liu, S. Z., Zheng, J., Migeon, P., Ren, J., Hu, Y., He, C., . . . Wang, G. Y. (2017). Unbiased K-mer Analysis Reveals Changes in Copy Number of Highly Repetitive Sequences During Maize Domestication and Improvement. Scientific Reports, 7, 15. https://doi.org/10.1038/srep42444The major component of complex genomes is repetitive elements, which remain recalcitrant to characterization. Using maize as a model system, we analyzed whole genome shotgun (WGS) sequences for the two maize inbred lines B73 and Mo17 using k-mer analysis to quantify the differences between the two genomes. Significant differences were identified in highly repetitive sequences, including centromere, 45S ribosomal DNA (rDNA), knob, and telomere repeats. Genotype specific 45S rDNA sequences were discovered. The B73 and Mo17 polymorphic k-mers were used to examine allelespecific expression of 45S rDNA in the hybrids. Although Mo17 contains higher copy number than B73, equivalent levels of overall 45S rDNA expression indicates that transcriptional or post-transcriptional regulation mechanisms operate for the 45S rDNA in the hybrids. Using WGS sequences of B73xMo17 doubled haploids, genomic locations showing differential repetitive contents were genetically mapped, which displayed different organization of highly repetitive sequences in the two genomes. In an analysis of WGS sequences of HapMap2 lines, including maize wild progenitor, landraces, and improved lines, decreases and increases in abundance of additional sets of k-mers associated with centromere, 45S rDNA, knob, and retrotransposons were found among groups, revealing global evolutionary trends of genomic repeats during maize domestication and improvement
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