We consider solutions of the matrix KP hierarchy that are elliptic functions first hierarchical time $t_1=x$. It is known poles $x_i$ and residues at $\rho_i^{\alpha \beta}=a_i^{\alpha}b_i^{\beta}$ such as $t_2$ move particles spin generalization Calogero-Moser model (elliptic Gibbons-Hermsen model). In this paper we establish correspondence with for whole hierarchy. Namely, show dynamics respe...

IN THE TITLE COMPOUND (SYSTEMATIC NAME (R)-dimeth-yl{2-[1-phenyl-1-(pyridin-2-yl)eth-oxy]eth-yl}aza-nium (R,R)-3-carb-oxy-2,3-dihy-droxy-propano-ate), C(17)H(23)N(2)O(+)·C(4)H(5)O(6) (-), the doxylaminium cation is protonated at the N atom. The tartrate monoanions are linked by short, almost linear O-H⋯O hydrogen bonds into chains extended along [100]. These chains are inter-linked by anion-pyr...

In many scienti c and commercial applications such as Earth Observation System (EOSDIS) and mobile phone services tracking a large number of clients, it is a daunting task to archive and index ever increasing volume of complex data that are continuously added to databases. To eÆciently manage multidimensional data in scienti c and data warehousing environments, R-tree based index structures hav...

Let $ G = (V, E) be a finite simple connected graph. We say graph realizes code of the type 0^{s_1}1^{t_1}0^{s_2}1^{t_2}\cdots0^{s_k}1^{t_k} if and only can obtained from by some rule. Some classes graphs such as threshold chain mentioned above. The main objective this research article is to develop computationally feasible methods determine interesting theoretical invariants. present an effici...

We present a system for efficient indexed querying of XML documents, enhanced with sibling operations. R-tree index proposed in [5] has a very high cost for the following-sibling and precedingsibling axes. We develop a family of index structures, which we refer to as transformed split-tree indexes, to address this problem, in which (i) XML data is horizontally split by a simple, yet efficient c...

Example 1 (Mixture of K Poisson distributions). The sample spaces are X = Z+ := {0, 1, 2, . . . } = and Y = [K] := {1, 2, . . . ,K}. The parameter space is Θ = ∆K−1 × R++, where ∆K−1 := {π = (π1, π2, . . . , πK) ∈ R+ : ∑K j=1 πj = 1}, R+ := {t ∈ R : t ≥ 0}, and R++ := {t ∈ R : t > 0}. Each distribution Pθ in P = {Pθ : θ ∈ Θ} is as follows. If (X,Y ) ∼ Pθ for θ = (π, λ1, λ2, . . . , λK), then Y ...

A molecular Mott insulator $\kappa$-(ET)$_2$B(CN)$_4$ [ET = bis(ethylenedithio)tetrathiafulvalene] with a distorted triangular lattice exhibits quantum disordered state gapped spin excitation in the ground state. $^{13}$C nuclear magnetic resonance, magnetization, and torque measurements reveal that field suppresses valence bond order induces long-range above critical $\sim 8$ T. The spin-latti...