Results 61 to 70 of about 458,626 (278)
Free field realization of the Ding-Iohara algebra at general levels
Journal of High Energy PhysicsWe present a unified free field realization of the Ding-Iohara algebra at arbitrary levels, which satisfies a generalized form of the Serre relations. This realization, constructed using six free boson fields, arises from a specialized factorization of ...
Zitao Chen, Xiang-Mao Ding
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Formalized Mathematics, 2012 Summary We interoduce a new characterization of algebras of normal forms of term rewriting systems [35] as algerbras of term free in itself (any function from free generators into the algebra generates endomorphism of the algebra). Introduced algebras are free in classes of algebras satisfying some sets of equalities. Their universes are subsets of
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AI in chemical engineering: From promise to practice
AIChE Journal, EarlyView.Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew +4 more
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AIChE Journal, EarlyView.Abstract In pharmaceutical industries, continuous manufacturing methods have already been well established to improve productivity and process intensification. However, to better understand the trade‐offs of continuous crystallizers over the existing batch production systems, a robust technoeconomic cost and sustainability analysis is necessary to ...
Jungsoo Rhim, Zoltan K. Nagy
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W $$ \mathcal{W} $$ -algebra modules, free fields, and Gukov-Witten defects
Journal of High Energy Physics, 2019 We study the structure of modules of corner vertex operator algebras arrising at junctions of interfaces in N = 4 $$ \mathcal{N}=4 $$ SYM. In most of the paper, we concentrate on truncations of W 1 + ∞ $$ {\mathcal{W}}_{1+\infty } $$ associated to the ...
Tomáš Procházka, Miroslav Rapčák
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A standard form in (some) free fields: How to construct minimal linear representations
Open Mathematics, 2020 We describe a standard form for the elements in the universal field of fractions of free associative algebras (over a commutative field). It is a special version of the normal form provided by Cohn and Reutenauer and enables the use of linear algebra ...
Schrempf Konrad
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A canonical realization of the Weyl BMS symmetry
Physics Letters B, 2020 We construct a free field realization of an extension of the BMS algebra in 2+1 dimensional space-time. Besides the supertranslations and superrotations, the extension contains an infinite set of superdilatations.
Carles Batlle +2 more
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Free algebra structure: categorical algebras [PDF]
Bulletin of the Australian Mathematical Society, 1970 One of the more important concepts in the study of universal algebras is that of a free algebra. It is our purpose in this communication to describe the structure of the free algebra Kk() of k generators (k a positive integer) determined by a categorical algebra, and to indicate how this information encompasses results in such diverse areas as the ...
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Combinatorics of the Free Baxter Algebra [PDF]
The Electronic Journal of Combinatorics, 2006 We study the free (associative, non-commutative) Baxter algebra on one generator. The first explicit description of this object is due to Ebrahimi-Fard and Guo. We provide an alternative description in terms of a certain class of trees, which form a linear basis for this algebra.
Marcelo Aguiar, Walter Moreira
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A new drag and lift correlation for spherocylinders from fully resolved Immersed Boundary Method
AIChE Journal, EarlyView.Abstract Many industrial processes deal with non‐spherical particles, e.g., mineral mining and biomass conversion. It is crucial to understand the particles' hydrodynamics to control and optimize these processes. To extend the current state‐of‐the‐art from arrays of spherical particles to spherocylindrical particles, we performed extensive particle ...
A. H. Huijgen +4 more
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