Results 81 to 90 of about 3,210,715 (302)
On functional calculus estimates
, 2015 This thesis presents various results within the field of operator theory that are formulated in estimates for functional calculi. Functional calculus is the general concept of defining operators of the form $f(A)$, where f is a function and $A$ is an operator, typically on a Banach space. Norm estimates for $f(A)$ emerge in applications naturally, e.g.,
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Weak Eigenvectors and the Functional Calculus [PDF]
Transactions of the American Mathematical Society, 1963 In this paper we are concerned with the problem of constructing the functional calculus for an operator with continuous spectrum from a given collection of weak eigenvectors. A functional calculus is a homomorphism f-+ Tf of an algebra of functions defined over the 'spectrum' V into a subalgebra of bounded linear operators acting in a banach space E ...
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Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
FEBS Letters, EarlyView.EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
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Emerging experimental and computational methods for studying redox‐regulated structural transitions
FEBS Letters, EarlyView.Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass +2 more
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On equivalences and standardization in a non-deterministic call-by-need lambda calculus [PDF]
, 2007 The goal of this report is to prove correctness of a considerable subset of transformations w.r.t. contextual equivalence in a an extended lambda-calculus with case, constructors, seq, let, and choice, with a simple set of reduction rules. Unfortunately,
Mann, Matthias +3 more
core
Journal of Inequalities and Applications, 2009 Based on the theory of calculus on time scales, the homeomorphism theory, Lyapunov functional method, and some analysis techniques, sufficient conditions are obtained for the existence, uniqueness, and global exponential stability of the equilibrium ...
Yongkun Li, Yuchun Hua, Yu Fei
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Functional calculus for generators of analytic semigroups of operators
Karpatsʹkì Matematičnì Publìkacìï, 2012 We construct a functional calculus for generators of one-parameter boundedanalytic semigroups of operators on a Banach space. The calculus symbol classconsist of the Laplace image of the convolution algebra $cal S'_+$ of tempereddistributions with ...
Lopushansky O.V., Sharyn S.V.
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Logical Calculus Using Fuzzy Formulas
Наука и техника, 2005 The paper considers a functionally closed multi-valued calculus with conditional formulas F = {a|b} such that F s a when b = true; F = false when a = false and F = uncertainty in all other cases. A measure function for fuzzy conditional formulas has been
O. V. German, A. A. Linnik
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Translophagy—A potential link between autophagy impairment and translational errors
FEBS Letters, EarlyView.Neurodegenerative diseases are characterised by the accumulation of abnormal proteins and protein aggregates, but their origin often remains unknown. We propose that selective autophagy removes damaged protein‐making machinery, preventing errors during protein synthesis.
Mykola V. Korolchuk +11 more
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FEBS Letters, EarlyView.Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell +2 more
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