Anomalies persist in the foundations of ridge regression as set forth in Hoerl and Kennard (1970) and subsequently. Conventional ridge estimators and their properties do not follow on constraining lengths of solution vectors using LaGrange’s method, as claimed. Estimators so constrained have singular distributions; the proposed solutions are not necessarily minimizing; and heretofore undiscover...

Orthonormal ridgelets are a specialized set of angularly-integrated ridge functions which make up an orthonormal basis for L2(R). In this paper we explore the relationship between orthonormal ridgelets and true ridge functions r(x1 cos θ + x2 sin θ). We derive a formula giving the ridgelet coefficients of a ridge function in terms of the 1-D wavelet coefficients of the ridge profile r(t), and w...

The metamorphic sole rocks at the base of mantle peridotites from the Mersin ophiolite consist of amphibolites and metasedimentary lithologies. Mineral parageneses in the metamorphic sole rocks exhibit amphibolite and greenschist facies assemblages. Geothermobarometric studies based on mineral assemblages and chemical compositions of minerals indicate that average metamorphic temperature during...

Cotton (Gossypium hirsutum L.) seeds are susceptible to low temperature and excess moisture in soil during seed emergence in years with high rainfall and low temperature in spring. Therefore, a two-year field experiment was carried out to evaluate effects of ridge tillage formed in autumn (RT-I), ridge tillage formed about a month before planting (RT-II) and flat conventional tillage (CT) culti...

In the context of ridge regression, the estimation of ridge (shrinkage) parameter plays an important role in analyzing data. Many efforts have been put to develop skills and methods of computing shrinkage estimators for different full-parametric ridge regression approaches, using eigenvalues. However, the estimation of shrinkage parameter is neglected for semiparametric regression models. The m...

Hengfu Yin, Chun Ju Chen, Jun Yang, David J. Weston, Jin-Gui Chen, Wellington Muchero, Ning Ye, Timothy J. Tschaplinski, Stan D. Wullschleger, Zong-Ming (Max) Cheng, Gerald A. Tuskan, and Xiaohan Yang 1Biosciences Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA 2BioEnergy Science Center, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA 3Environmental Scien...

The Yellowstone Plateau volcanic field, the site of some of the largest known silicic volcanic eruptions, is the present location of NE-migrating hotspot volcanic activity. Most volcanic rocks in the Yellowstone caldera (0.6 Ma), which formed in response to the climactic eruption of 1000 km3 of Lava Creek Tuff (LCT), have unusually low oxygen isotope ratios. Ion microprobe analysis of both U^Pb...

The limb iswidely usedasamodel developmental systemandchanges to gene expression patterns in its signaling centers, notably the zone of polarizing activity (ZPA) and the apical ectodermal ridge (AER), are known to cause limbmalformations andevolutionarydifferences in limb morphology. Although several genes that define these limb signaling centers have been described, the identification of regul...

background: lateral ridge split technique is a way to solve the problem of the width in narrow ridges with adequate height. simultaneous insertion of dental implants will considerably reduce the edentulism time. materials and methods: twenty-five patients who were managed with ridge splitting technique were enrolled. thirty-eight locations in both jaws with near equal distribution in quadrants ...

Introduction: This study sought to assess the performance of 4th year dental  students in detection of residual roots on panoramic radiographs of edentulous patients.Materials and Methods: This cross-sectional study evaluated 37 fourth-year dental students of School of Dentistry, Qazvin University of Medical Sciences. Ten panoramic radiographs of edentulous patients with residual roots in thei...