Journal of High Energy Physics - We show that the differential equation for the three-loop equal-mass banana integral can be cast into an ε-factorised form with entries constructed from...doi:10.1007/JHEP09(2022)062Pgel, SebastianPRISMA Cluster of Excellence, Institut für Physik, Johannes ...
Define factorised. factorised synonyms, factorised pronunciation, factorised translation, English dictionary definition of factorised. tr.v. fac·tor·ized , fac·tor·iz·ing , fac·tor·iz·es Mathematics To factor. fac′tor·i·za′tion n. American He
1 Find (2r2-1), expressing your answer in fully factorised form.[4]r=1 相关知识点: 试题来源: 解析 ∑_(r=1)^nL_n^r=1/3n(n+1)(2n+1)=1 =1/3n(2n^2+3n-2) =1/3n(2n-1)(n+2) 1/3n(n+1)(2n+1)⋯factoring out n allow 2/6 n(2 n-1)(n+2) , etc 反馈 收藏 ...
ABhavinganinducedfactorisation:S = (Sn/l)(SnΒ).Heshowedthatina finitefactorisedgroup,foreveryprimeρthereisa Sylowp-subgrouphavinganinducedfactorisation.In[36]heshowsthatfora finitefactorisedgroupG =ABeverysubgroupΝoftheformΝ=NG{(A0,B0»hasaninducedfactorisationifA0isnormalinAandB0normalinB.These...
( Adnan ∪ Yasemin )Thisfactorisedrepresentationhasthefollowingstructure:foreachitem,weconstructaunionofitsordersandaunionofitspossiblelocationswithdispatchers.Thisnestingstruc-turetogether with the attribute names form the schema of the factorised representation, which we call a factorisation tree, or f-tree...
For solving a linear system with a large-scale coefficient matrix which is stored in a factorised form, we present a new interlaced randomised iterative method. The new method can take advantage of the factored form and avoid performing matrix multiplications. Furthermore, its convergence property ...
We show that the differential equation for the three-loop equal-mass banana integral can be cast into an ε-factorised form with entries constructed from (meromorphic) modular forms and one special function, which can be given as an iterated integral of meromorphic modular forms. The ε-...
A generalised controller for nonlinear multivariable systems is derived. This is a development of a special form of the nonlinear generalised minimum variance (NGMV) controller (the so-called factorised form). The system is modelled as a combination of a linear and a nonlinear subsystem, where ...
This paper presents a specialised Bayesian model for analysing the covariance of data that are observed in the form of matrices,which is particularly suitable for images.Compared to existing generalpurpose covariance learning techniques,we exploit the fact that the variables are organised as an array ...