of the box-ball system and other discrete integrable system 50:21 An Algebraic Approach on Fusions of Synchronization Models 53:12 An Overview of Knots and Gauge Theory 1:44:53 Differential Equations and Algebraic Geometry - 5 56:56 Estimating transport distances via Stein's method 1:00:09 ...
A more useful method of addressing subsets of the crystal planes, is by the Miller indices (h, k, l). To determine the Miller indices for a set of planes, one first determines the intercepts (a1,b1,c1), via the triplet integer address [m, n, o] of the planes on the (a, b, ...
The CPM is an energy-based, lattice-based modeling method for cell-based modeling. It uses an energy functional generalized from the Potts model, originally derived for a ferromagnet, to evaluate a multicellular state. In a CPM, one cell occupies many lattice sites. Different from the CA model...
Method of the proof: explicit solution of an equation describing an isomorphism between two t-motives by a method of successive approximations using a version of the Hensel lemma. 展开 关键词: gymnemic acids Gymnema sylvestre HPLC-ESI-MS/MS pharmacokinetics ...
This leads to suboptimal results in terms of the dimension above which the results hold. A seminal exception is SAW, where Hara and Slade [19] have proved that is sufficient for their perturbation analysis to hold, using a computer-assisted method and a detailed analysis of the perturbation ...
Since our goal is to apply this formalism to a lattice field theory, the closest work we are aware of is in refs. [35, 36], where a new method for evaluating functional determinants in terms of worldlines was proposed. In the present paper, we use this formalism in order to obtain ...
The most widely used lattice method to compute the susceptibilities at a finite value of quark chemical potential is through the Taylor expansion of the corresponding quantity at = 0, for example, 2 ( ) 2 = 2 (0) 2 + 2 2! 2 4 (0) + 4 4! 4 6 (0) 2 +⋅⋅⋅ . (26) ...
(i) the effective Hamiltonian Heff for the tensor is obtained by contracting the complete Hamiltonian of the system with all the remaining tensors of the tree; (ii) the local eigenvalue problem for Heff is solved by using the Arnoldi method of the ARPACK library; (iii) the tensor is ...
Namely, let M ( 0 ) be a t-motive of dimension n and rank r = 2 n — the n-th power of the Carlitz module of rank 2, and let M be a t-motive which is in some sense "close" to M ( 0 ) . We consider the lattice map M ↦ L ( M ) , where L ( M ) is a ...
Lattice QCD is, in fact, the only known method which allows ab initio investigations of hadronic properties, starting from the QCD Lagrangian formulated in terms of quarks and gluons. 5.1.1 Historical Perspective In order to illustrate the wide range of applications of the lattice formulation, we...