Results 71 to 80 of about 29,270 (226)

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

Elliptic deformation of $\mathcal{W}_N$-algebras

SciPost Physics, 2019
We construct $q$-deformations of quantum $\mathcal{W}_N$ algebras with elliptic structure functions. Their spin $k+1$ generators are built from $2k$ products of the Lax matrix generators of ${\mathcal{A}_{q,p}(\widehat{gl}(N)_c)}$). The closure of the
Jean Avan, Luc Frappat, Eric Ragoucy
doaj   +1 more source

Poisson algebras and Yang-Baxter equations

, 2009
We connect generalizations of Poisson algebras with the classical and associative Yang-Baxter equations. In particular, we prove that solutions of the classical Yang-Baxter equation on a vector space V are equivalent to ``twisted'' Poisson algebra ...
Schedler, Travis
core   +2 more sources

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, Fan Yang, Manchao He, Yong Yuan, Zhigang Tao   +4 more
wiley   +1 more source

Algebraic Structure of Holomorphic Poisson Cohomology on Nilmanifolds

Complex Manifolds, 2019
It is proved that on nilmanifolds with abelian complex structure, there exists a canonically constructed non-trivial holomorphic Poisson structure.We identify the necessary and sufficient condition for its associated cohomology to be isomorphic to the ...
Poon Yat Sun, Simanyi John
doaj   +1 more source

Complete commutative subalgebras in polynomial poisson algebras: A proof of the Mischenko-Fomenko conjecture [PDF]

Theoretical and Applied Mechanics, 2016
The Mishchenko-Fomenko conjecture says that for each real or complex finite-dimensional Lie algebra g there exists a complete set of commuting polynomials on its dual space g*.
Bolsinov Alexey V.
doaj   +1 more source

Classical and Quantum Nonultralocal Systems on the Lattice [PDF]

, 1995
We classify nonultralocal Poisson brackets for 1-dimensional lattice systems and describe the corresponding regularizations of the Poisson bracket relations for the monodromy matrix . A nonultralocal quantum algebras on the lattices for these systems are
Semenov-Tian-Shansky, M. A., Sevostyanov, A. V.   +1 more
core   +1 more source

New Splittings of Operations of Poisson Algebras and Transposed Poisson Algebras and Related Algebraic Structures

, 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
openaire   +2 more sources

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
wiley   +1 more source

Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras

Forum of Mathematics, Sigma
We develop techniques to construct isomorphisms between simple affine W-algebras and affine vertex algebras at admissible levels. We then apply these techniques to obtain many new, and conjecturally all, admissible collapsing levels for affine W-algebras.
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau   +2 more
doaj   +1 more source