Results 61 to 70 of about 1,232 (217)

On the Composition of Rotations in $\mathbb{R}^3$

Communications in Advanced Mathematical Sciences
Euler stated that the composition of two successive rotations is also a rotation, but did not solve the problem of finding the resultant (axis and angle of rotation) of the composition. It is Rodrigues who solved it.
François Dubeau
doaj   +1 more source

Investigation on tunnel stability considering pipe‐roof support with transparent soil technology

Deep Underground Science and Engineering, EarlyView.
This study integrates transparent soil technology, 3D reconstruction and numerical simulation to captures the full‐field deformation of shield tunnel instability. Results demonstrate that pipe‐roof support enhances stability via the “soil‐arching barrier effect,” effectively restraining failure wedge development by extending stress transfer paths ...
Zhi Jia, Yunpeng Ji, Zhao Lu, Honghua Zhao, Limin Zhang   +4 more
wiley   +1 more source

Flow Characteristics and Response Surface Methodology‐Based Pressure‐Loss Prediction Models for the Reverse Circulation Converter in Double‐Wall Drill Pipes

Energy Science &Engineering, EarlyView.
Flow characteristics and pressure loss mechanisms of a reverse circulation converter in dual‐wall drill pipes are systematically investigated using CFD and response surface methodology. The results reveal the dominant role of inertial dissipation and provide a predictive framework for optimizing converter design and operational parameters. ABSTRACT The
Mingming Geng, Hui Zhang, Junpeng Li, Baokang Wu, Geng Zhang, Xinrui Wang, Jintao An, Long Chen, Yiming Ma   +8 more
wiley   +1 more source

On Some Multipliers Related to Discrete Fractional Integrals

Mathematics
This paper explores the properties of multipliers associated with discrete analogues of fractional integrals, revealing intriguing connections with Dirichlet characters, Euler’s identity, and Dedekind zeta functions of quadratic imaginary fields ...
Jinhua Cheng
doaj   +1 more source

Exact Computation of the Color Function for Triangular Element Interfaces

International Journal for Numerical Methods in Fluids, EarlyView.
We propose a robust algorithm, the Front2VOF algorithm, to compute the color function for triangular element interfaces in Front‐Tracking methods on a Cartesian mesh. ABSTRACT The calculation of the volume enclosed by curved surfaces discretized into triangular elements and a cube is of great importance in different domains, such as computer graphics ...
Jieyun Pan, Désir‐André Koffi Bi, Ahmed Basil Kottilingal, Serena Costanzo, Jiacai Lu, Yue Ling, Ruben Scardovelli, Grétar Tryggvason, Stéphane Zaleski   +8 more
wiley   +1 more source

Degradation of Seasonally Frozen Ground in the Three–River Source Region and Its Correlation Impact Within Precipitation–Runoff Process

International Journal of Climatology, EarlyView.
This study reveals how climate change alters the water cycle in the Three Rivers Source region by degrading its important ‘solid groundwater’ (seasonally frozen ground). We found that runoff response varies by watershed and the role of permafrost decreases sharply, making water supply more dependent on rainfall and becoming increasingly vulnerable ...
Chenchen Ren, Xiangde Xu, Jieru Ma, Bingrong Zhou, Na Dong, Wenyue Cai, Chunzhu Wang   +6 more
wiley   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Theoretical calculation method of hyperbolic rotating thin shell bending problem

Zhongguo Jianchuan Yanjiu
ObjectiveIn order to analyze the bending characteristics of a hyperbolic rotating thin shell, the complex two-dimensional mechanical problem is simplified into a one-dimensional bending problem based on Euler's Bernoulli beam theory.
Er ZHANG, Shaosong MIN, Lin HUA, Cong LIU, Guotao Chen   +4 more
doaj   +1 more source

Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal, Ana Jacinta Soares, Maria Joana Torres   +2 more
wiley   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source