Results 41 to 50 of about 35,756 (306)

Stretch-Energy-Minimizing B-Spline Interpolation Curves and Their Applications

Mathematics, 2023
In this paper, we propose a new method to construct energy-minimizing cubic B-spline interpolation curves by minimizing the approximated stretch energy. The construction of a B-spline interpolation curve with a minimal approximated stretch energy can be ...
Qian Ni, Chen Xie
doaj   +1 more source

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

International Journal of Adaptive Control and Signal Processing, EarlyView.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir, Sarah Mechhoud, Taous‐Meriem Laleg‐Kirati   +2 more
wiley   +1 more source

Short Sb···Sb Contacts in Polymorphic Tris(p‐Tolyl)Antimony: A Hallmark of Organoantimony(III) Solid‐State Chemistry?

Angewandte Chemie, EarlyView.
Discovery of polymorphism in solid tris(p‐tolyl)antimony(III) highlighted short, direct antimony‐antimony contacts, with interatomic separation shorter than the sum of the van der Waals radii, and calculated interaction energy of ca. 26 kJ mol−1 that includes a significant dispersion component.
Imogen Suh, Michael Ferguson, Filip Topić, Fu‐Qiang Gong, Mihails Arhangelskis, Hatem M. Titi, D. Scott Bohle, Vinko Nemec, Levente Kiss, Andrew J. Morris, Cristian Silvestru, Dominik Cinčić, Tomislav Friščić   +12 more
wiley   +2 more sources

Ten non-polynomial cubic splines for some classes of Fredholm integral equations

Ain Shams Engineering Journal, 2022
In this paper, a new general form for the non-polynomial cubic spline function is introduced. This form enables us to generate about ten different formulas of the proposed spline function.
D.A. Hammad, Mourad S. Semary, Ahmed G. Khattab   +2 more
doaj   +1 more source

Attention is a smoothed cubic spline

CoRR
We highlight a perhaps important but hitherto unobserved insight: The attention module in a transformer is a smoothed cubic spline. Viewed in this manner, this mysterious but critical component of a transformer becomes a natural development of an old notion deeply entrenched in classical approximation theory.
Zehua Lai, Lek-Heng Lim, Yucong Liu
openaire   +2 more sources

On a Generalization of Cubic Spline Interpolation

Journal of Software, 2011
Based on analysis of basic cubic spline interpolation, the clamped cubic spline interpolation is generalized in this paper. The methods are presented on the condition that the first derivative and second derivative of arbitrary node are given. The Clamped spline and Curvature-adjusted cubic spline are also generalized.
Shang Gao 0001, Zaiyue Zhang, Cungen Cao
openaire   +1 more source

Noninvasive Characterization of Tumor Heterogeneity in HNSCC: From Clinical Utility to Biological Correlates

Advanced Science, EarlyView.
This study establishes a CT‐based radiomics framework to quantify intratumoral heterogeneity (ITH) in HNSCC. Using unsupervised clustering, tumor ROIs and VOIs are analyzed to calculate 2D/3D ITH scores. The score shows strong predictive value for prognosis and immunotherapy response, and is associated with tumor metabolism and immune microenvironment,
Xinwei Chen, Rui Liu, Yuan Zhou, Yin Xiao, Chengmin Feng, Lin Chen, Yanshi Li, Mengna Wang, Zhaobo Cheng, Yuxi Luo, Long Liu, Lijing Niu, Yue Xiang, Juan Peng, Guohua Hu, Min Pan   +15 more
wiley   +1 more source

Long‐Term Ambient Benzene Exposure and Brain Disorders Among Urban Adults: Effect Modification by Genetic Susceptibility and Potential Mediation by Plasma Proteins

Advanced Science, EarlyView.
Low‐level ambient benzene exposure is associated with increased risks of multiple brain disorders in urban adults. Genetic susceptibility modifies these associations, while plasma proteomics points to potential biological pathways linking benzene exposure to adverse brain health.
Jianhui Guo, Xia Zhong, Petros Koutrakis, Carolina L. Zilli Vieira, Feifei Si, Yaqi Wang, Xinyao Lian, Yi Fan, Zhaokun Wang, Shaodan Huang, Jing Li   +10 more
wiley   +1 more source

Constrained Interpolation via Cubic Hermite Splines

پژوهش‌های ریاضی, 2018
Introduction In industrial designing and manufacturing, it is often required to generate a smooth function approximating a given set of data which preserves certain shape properties of the data such as positivity, monotonicity, or convexity, that is, a ...
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doaj  

Fairing of parametric cubic splines

Mathematical and Computer Modelling, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye, J., Qu, R.
openaire   +2 more sources