Results 81 to 90 of about 85,344 (218)
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
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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
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Maps on the Mirror Heisenberg–Virasoro Algebra
MathematicsUsing the first cohomology from the mirror Heisenberg–Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg–Virasoro algebra module), in this paper, we determined the derivations on the mirror Heisenberg–Virasoro algebra.
Xuelian Guo +2 more
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BRST Charge and Poisson Algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 An elementary introduction to the classical version of gauge theories is made. The shortcomings of the usual gauge fixing process are pointed out. They justify the need to replace it by a global symmetry: the BRST symmetry and its associated BRST charge. The main mathematical steps required to construct it are described.
openaire +4 more sources
, 2023 There are two kinds of splittings of operations, namely, the classical splitting which is interpreted operadically as taking successors and another splitting which we call the second splitting giving the anti-structures of the successors' algebras. The algebraic structures corresponding to them respectively are characterized in terms of representations.
Liu, Guilai, Bai, Chengming
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Coherent Forecasting of Realized Volatility
Journal of Forecasting, EarlyView.ABSTRACT The QLIKE loss function is the stylized favorite of the literature on volatility forecasting when it comes to out‐of‐sample evaluation and the state of the art model for realized volatility (RV) forecasting is the HAR model, which minimizes the squared error loss for in‐sample estimation of the parameters.
Marius Puke, Karsten Schweikert
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Holonomic modules and 1-generation in the Jacobian Conjecture
Comptes Rendus. MathématiqueLet $P_n$ be a polynomial algebra in $n$ indeterminates over a field $K$ of characteristic zero. An endomorphism $\sigma \in \mathrm{End}_K(P_n)$ is called a Jacobian map if its Jacobian is a nonzero scalar.
Bavula, Volodymyr V.
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On the Contact Geometry and the Poisson Geometry of the Ideal Gas
Entropy, 2018 We elaborate on existing notions of contact geometry and Poisson geometry as applied to the classical ideal gas. Specifically, we observe that it is possible to describe its dynamics using a 3-dimensional contact submanifold of the standard 5-dimensional
J. M. Isidro, P. Fernández de Córdoba
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Lubrication Science, EarlyView.ABSTRACT Porous gas bearings (PGBs) enable high‐speed, oil‐free operation in modern rotating machinery. This study develops a coupled thermo‐hydrodynamic (THD) model for a cylindrical porous gas bearing lubricated with four working fluids—air, R‐134a, helium and hydrogen.
S. Bechiri, B. Bouchehit, B. Bou‐Saïd
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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