Results 61 to 70 of about 2,156,631 (347)
Completing the eclectic flavor scheme of the ℤ2 orbifold
Journal of High Energy Physics, 2021 We present a detailed analysis of the eclectic flavor structure of the two-dimensional ℤ2 orbifold with its two unconstrained moduli T and U as well as SL(2, ℤ) T × SL(2, ℤ) U modular symmetry. This provides a thorough understanding of mirror symmetry as
Alexander Baur +4 more
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Degree of reductivity of a modular representation [PDF]
Communications in Contemporary Mathematics, 2017 For a finite-dimensional representation [Formula: see text] of a group [Formula: see text] over a field [Formula: see text], the degree of reductivity [Formula: see text] is the smallest degree [Formula: see text] such that every nonzero fixed point [Formula: see text] can be separated from zero by a homogeneous invariant of degree at most [Formula ...
Kohls M., Sezer M.
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Knot invariants from Virasoro related representation and pretzel knots
Nuclear Physics B, 2015 We remind the method to calculate colored Jones polynomials for the plat representations of knot diagrams from the knowledge of modular transformation (monodromies) of Virasoro conformal blocks with insertions of degenerate fields.
D. Galakhov +3 more
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions
FEBS Letters, EarlyView.The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang +4 more
wiley +1 more source
Modular curves, modular forms, lattices, Galois representations
, 2011 This chapter provides the necessary background concerning modular curves and modular forms. It covers modular curves, modular forms, lattices and modular forms, Galois representations attached to eigenforms, and Galois representations over finite fields ...
Bas Edixhoven
core +1 more source
From modular graph forms to iterated integrals
Journal of High Energy PhysicsModular graph forms are a class of non-holomorphic modular forms that arise in the low-energy expansion of genus-one closed string amplitudes. In this work, we introduce a systematic procedure to convert lattice-sum representations of modular graph forms
E. Claasen, M. Doroudiani
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Modular representations of profinite groups
Journal of Pure and Applied Algebra, 2011 19 ...
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Modular representation of layered neural networks [PDF]
Neural Networks, 2018 Layered neural networks have greatly improved the performance of various applications including image processing, speech recognition, natural language processing, and bioinformatics. However, it is still difficult to discover or interpret knowledge from the inference provided by a layered neural network, since its internal representation has many ...
Chihiro Watanabe +2 more
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Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
FEBS Letters, EarlyView.Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
wiley +1 more source