We construct local M-operators for an integrable discrete time version of the classical Heisenberg magnet by convolution of the twisted quantum trigonometric 4×4 R-matrix with certain vectors in its " quantum " space. Components of the vectors are identified with τ-functions of the model. Hirota's bilinear formalism is extensively used. The construction generalizes the known representation of M...

Simple partial logic (=SPL) is, broadly speaking, an extensional logic which allows for the truth-value gap. First I give a system of propositional SPL by partializing classical logic, as well as extending it with several non-classical truth-functional operators. Second I show a way based on SPL to construct a system of tensed ontology, by representing tensed statements as two kinds of necessar...

Transport theory is an efficient approach to derive an effective theory for the soft modes of QCD at high temperature. It is known that the leading order operators of this theory can be obtained from (semi-classical) kinetic equations of quasiparticles carrying classical or quantum color charges. Higher order operators can also be obtained. Discrepancy between these quasiparticle models starts ...

Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4×4 R-matrix with certain vectors in its " quantum " space. Components of the vectors are identified with τ-functions of the model. This construction generalizes the known representation of M-operators in continuous time models in terms of Lax operators and cl...

In this thesis we study operators, and spaces of operators on a Hubert space defined by intertwining relations. The classical Hankel operators are those operators which intertwine the unilateral shift and its adjoint. We consider generalised Hankel operators relative to shifts and relative to families of shifts and give generalisations of the classical theorems of Nehari and Hartman. In contras...

Local M-operators for the classical sine-Gordon model in discrete space-time are constructed by convolution of the quantum trigonometric 4×4 R-matrix with certain vectors in its " quantum " space. Components of the vectors are identified with τ-functions of the model. This construction generalizes the known representation of M-operators in continuous time models in terms of Lax operators and cl...

We construct local M-operators for an integrable discrete time version of the classical Heisenberg magnet by convolution of the twisted quantum trigonometric 4×4 R-matrix with certain vectors in its " quantum " space. Components of the vectors are identified with τ-functions of the model. Hirota's bilinear formalism is extensively used. The construction generalizes the known representation of M...