Collocation and colligation are two closely related concepts associated with the distributional properties of linguistic items in actual language use. Specifically, collocation and colligation refer to the likelihood of co-occurrence of (two or more) lexical items and grammatical categories, respectively. Both terms have been attributed to J. R. Firth (1957: 194–195; 1968: 181–183; see Östman a...

Our partial parser for Chinese uses a learned classifier to guide a bottom-up parsing process. We describe improvements in performance obtained by expanding the information available to the classifier, from POS sequences only, to include measures of word association derived from co-occurrence statistics. We compare performance using different measures of association, and find that Yule’s coeffi...

Let 5 and 8 be Krein spaces. By S(3 ,8 ) we denote the (generalized Schur) class of all functions O, defined and holomorphic at z = 0 and with values in L(5,8), the space of bounded Linear operators from 5 to 8 (we write L ( 8 ) for L(3,S)). It is known, see Section 3 below, that any OeS(3,8) is in some neighborhood of z = 0 the characteristic function On of a unitary colligation A = (J?,S,@;U)...

AIM To determine frequency of tumors with immunohistochemical markers of cancer stem cells (CSC) CD44+/CD24- in patients with breast cancer (BC) of different molecular subtype and to evaluate their prognostic value. OBJECT Surgical material of 132 patients with BC stage I-II, age from 23 to 75 years, mean age - 50.2 ± 3.1 years was studied. METHODS Clinical, immunohistochemical (expression ...

We study representations of inner functions on the bidisc from a fractional linear transformation point view. provide sufficient conditions, in terms colligation matrices, for existence two-variable functions. Here conditions are not necessary general, and we prove weak converse rational that admit one variable factorization. present classification de Branges–Rovnyak kernels (which also works s...

In this paper, we consider applications of the connection between soliton theory and commuting nonselfadjoint operator theory, established by Livšic Avishai. An approach to inverse scattering problem wave equations is presented, based on colligation (or vessel theory) in case bounded operators a Hilbert space, when one belongs larger class nondissipative with asymptotics corresponding curves. T...

We consider a bitangential interpolation problem for operator-valued functions defined on a general class of domains in C (including as particular cases, Cartan domains of types I–III) which satisfy a type of von Neumann inequality associated with the domain. We show that any such function has a realization in terms of a unitary colligation and the defining polynomial for the domain. We show ho...

The external Cayley transform is used for the conversion between the linear dynamical systems in scattering form and in impedance form. We use this transform to define a class of formal impedance conservative boundary control systems (colligations), without assuming a priori that the associated Cauchy problems are solvable. We give sufficient and necessary conditions when impedance conservative...