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Modular functionals and perturbations of Nakano spaces
Journal of Logic and Analysis, 2009 We settle several questions regarding the model theory of Nakano spaces left open by the PhD thesis of Pedro Poitevin \cite{Poitevin:PhD}. We start by studying isometric Banach lattice embeddings of Nakano spaces, showing that in dimension two and above such embeddings have a particularly simple and rigid form.
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Best approximants in modular function spaces
Journal of Approximation Theory, 1990 The paper is dealing with existence of elements of best approximation in modular spaces. Modular spaces are natural generalizations of \(L_ p\), \(p>0\), Orlicz, Lorentz and Köthe spaces [see \textit{W. M. Kozlowski}, Modular function spaces 122 (1988; Zbl 0661.46023)].
Kilmer, Shelby J +2 more
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SciPost Physics, 2020 We derive a holomorphic anomaly equation for the Vafa-Witten partition function for twisted four-dimensional $\mathcal{N} =4$ super Yang-Mills theory on $\mathbb{CP}^{2}$ for the gauge group $SO(3)$ from the path integral of the effective theory on ...
Atish Dabholkar, Pavel Putrov, Edward Witten
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On Monotone Asymptotic Pointwise Nonexpansive Mappings in Modular Function Spaces
Journal of Function Spaces, 2019 In this work, we investigate the existence of the fixed points of a monotone asymptotic pointwise nonexpansive mapping defined in a modular function space. Our result extends the fixed point result of Khamsi and Kozlowski.
B. A. Bin Dehaish
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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
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Seeing Is Believing: Brain-Inspired Modular Training for Mechanistic Interpretability
Entropy, 2023 We introduce Brain-Inspired Modular Training (BIMT), a method for making neural networks more modular and interpretable. Inspired by brains, BIMT embeds neurons in a geometric space and augments the loss function with a cost proportional to the length of
Ziming Liu, Eric Gan, Max Tegmark
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Uniformly Lipschitzian mappings in modular function spaces [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2001 Plan Andaluz de Investigación (Junta de Andalucía)
Domínguez Benavides, Tomás +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
Resolving modular flow: a toolkit for free fermions
Journal of High Energy Physics, 2020 Modular flow is a symmetry of the algebra of observables associated to space-time regions. Being closely related to entanglement, it has played a key role in recent connections between information theory, QFT and gravity.
Johanna Erdmenger +3 more
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Narain CFTs and quantum codes at higher genus
Journal of High Energy Physics, 2023 Code CFTs are 2d conformal field theories defined by error-correcting codes. Recently, Dymarsky and Shapere generalized the construction of code CFTs to include quantum error-correcting codes. In this paper, we explore this connection at higher genus. We
Johan Henriksson +2 more
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