“…It is accessible to readers with a minimal background in classical algebraic topology and operad theory.…”
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“…This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory. The author adopts an accessible approach for readers seeking an overview of involutive category theory, from the basics to cutting-edge applications. …”
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“…Finally, comparing the functions over different dimension we observe that [Image: see text] provides a particularly versatile algebraic framework.…”
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“…Our goal is to show that such a poset can be considered as an algebraic semantics for a certain kind of more general intuitionistic logic provided an implication is introduced as shown in the paper. …”
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“…We show that canonical equivalences in this context can be formulated in loop space in terms of parafermionic-type algebras with a central extension. We find that the corresponding generating functionals are non-polynomial in the derivatives of the fields with respect to the space-like variable. …”
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“…The proof is based on the standard BRS analysis of the QCD vertex functional in the background gauge and exploits the special algebraic properties of the charge density through the Stora–Zumino chain of descent equations.…”
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“…Generalized QCD_2 and adjoint-matter coupling , 4.1 Introduction and motivation, 4.2 Scalar and fermionic matter coupling; quantization 4.3 The Hagedorn transition; supersymmetry 4.4 Landau--Ginzburg description; spectrum and string theory 5. Algebraic aspects of QCD_2 and integrability 5.1 W_\infty algebras for colourless bilinears 5.2 Integrability and duality 5.3 Constraint structure of the theory 5.4 Spectrum and comparison with the 1/N expansion 5.5 Integrability conditions and Calogero-type models 5.6 QCD at high energies and two-dimensional field theory 6. …”
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“…The approach is based on the analysis of the algebraic geometry associated with the Feynman integrals and the use of the creative telescoping algorithm.…”
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“…Because lipid extraction alters sulphur and nitrogen isotope ratios (and cannot be corrected algebraically), we suggest that isotopic measurement on bulk tissue followed by algebraic lipid normalization of carbon stable isotope ratio is often a good solution for homogenated eggs, at least when it is not possible to complete separate chemical analyses for each isotope.…”
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“…The experimental group was optimized by algebraic iterative reconstruction algorithm, and the control group was reconstructed by the hospital original method. …”
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“…In the literature, chaos and algebraic techniques are extensively used to design the confusion component. …”
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“…Basic text for graduate and advanced undergraduate deals with search for roots of algebraic equations encountered in vibration and flutter problems and in those of static and dynamic stability. …”
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“…In the special case of constant curvature and a linear dilaton these equations reduce to $(d+1)$ algebraic equations in $(d+1)$ unknowns, whose solutions can act as late-time regularizing attractors for the singular lowest-order pre-big bang solutions. …”
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“…In the process we uncover a simple algebraic structure in the quasi normal modes spectrum: the tower of QNM's consists of descendents of a "chiral highest weight'' QNM which in turn satisfies a first oder equation.…”
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“…This links two main theories of mathematics: low dimensional topology and algebraic geometry. The theory of normal surface singularities is a distinguished part of analytic or algebraic geometry with several important results, its own technical machinery, and several open problems. …”
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“…Our demonstration deploys techniques from computational algebraic geometry to partial-fraction integrands in a systematic way. …”
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“…We study their coupling to 2-dim gravity in the conformal gauge and show that the resulting models can be interpreted as conformal non-Abelian Toda theories when a certain algebraic condition is satisfied. These models, however, do not provide quantum mechanically consistent string backgrounds in the case the underlying WZW constraints are first solved classically.…”
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“…Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.…”
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“…The three Summer School lectures provide an introduction to modern algorithms together with some theoretical background for computations of and with modular forms, including computing cohomology of arithmetic groups, algebraic automorphic forms, and overconvergent modular symbols. …”
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“…This is a very active field, not least because of the fascinating relations with complex algebraic and arithmetic geometry. Foundational works of Serge Lang and Paul A. …”
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