Results 141 to 150 of about 653,122 (340)
Study on fracture parameter calibration and failure characteristics of rock with hole and crack
Deep Underground Science and Engineering, EarlyView.The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley +1 more source
Quaternion-Domain Super MDS for Robust 3D Localization
IEEE Open Journal of Signal ProcessingThis paper proposes a novel low-complexity three-dimensional (3D) localization algorithm for wireless sensor networks, termed quaternion-domain super multi-dimensional scaling (QD-SMDS).
Alessio Lukaj +4 more
doaj +1 more source
The Rota-Baxter algebra structures on split semi-quaternion algebra
In this paper, we shall describe all the Rota-Baxter operators with any weight on split semi-quaternion algebra. Firstly, we give the matrix characterization of the Rota-Baxter operator on split semi-quaternion algebra.
Quanguo, Chen, Yong, Deng
core
Robust quaternion matrix completion with applications to image inpainting
, 2019 © 2019 John Wiley & Sons, Ltd. In this paper, we study robust quaternion matrix completion and provide a rigorous analysis for provable estimation of quaternion matrix from a random subset of their corrupted entries.
Zhigang Jia +5 more
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Review and prospects of shear test of bolted rock joints
Deep Underground Science and Engineering, EarlyView.The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren +4 more
wiley +1 more source
, 2020 四元数(Quaternion) は1843年10月16日、IrelandのWilliam Rowan Hamiltonによって考案された、ベクトルに似た“数(number)”である。 四元数の代数（ Quaternion algebra）は、光線追跡においては大変有用な計算手法であるが、一般的には馴染みがなく、あまり知られてはいない。 本論文では、四元数が光線光学において、いかに便利であるかを具体的な例を挙げながら説明する。Quaternion was invented by William Rowan
3558 +4 more
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Stability of quaternionic linear systems
, 2006 The main goal of this paper is to characterize stability and bounded-input-bounded-output (BIBO)-stability of quaternionic dynamical systems. After defining the quaternion skew-field, algebraic properties of quaternionic polynomials such as divisibility ...
Vettori, Paolo, Pereira, Ricardo
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Epilepsia, EarlyView.Cong Fu et al. demonstrate that glymphatic system dysfunction is linked to enhanced inhibitory cortical activity using diffusion MRI and EEG. These findings highlight a mechanistic link between perivascular fluid dynamics and neuronal activity, suggesting a role for glymphatic function in maintaining cortical stability in epilepsy.
Cong Fu +11 more
wiley +1 more source
Forces in MechanicsThis paper presents a new co-rotational shell element based on quaternion algebra as a means of parameterizing large rotations. The co-rotational framework is suitable for beam or shell elements and has been extensively studied in the literature.
Stéphane Grange, David Bertrand
doaj +1 more source