Results 61 to 70 of about 625,430 (273)
Lebesgue decomposition via Riesz orthogonal decomposition [PDF]
arXiv, 2014 We give a simple and short proof of the classical Lebesgue decomposition theorem of measures via the Riesz orthogonal decomposition theorem of Hilbert spaces. The tools we employ are elementary Hilbert space techniques.
arxiv
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Quantitative markers of cortical excitability may help identify responders to anti‐seizure medications (ASMs). We studied the relationship between ASM load and two electroencephalography (EEG) markers of cortical excitability in people with refractory epilepsy. Methods We included individuals with refractory focal epilepsy undergoing
Silvano R. Gefferie +7 more
wiley +1 more source
A Note On Orthogonal Decomposition of Finite Games [PDF]
arXiv, 2019 Various decomposition of finite games have been proposed. The inner product of vectors plays a key role in the decomposition of finite games. This paper considers the effect of different inner products on the orthogonal decomposition of finite games. We find that only when the compatible condition is satisfied, a common decomposition can be induced by ...
arxiv
Universal decomposition algebras and the classification of 2-generated non-primitive axial algebras of Jordan type [PDF]
arXiv, 2022 Decomposition algebras and axial decomposition algebras are classes of commutative nonassociative algebras which are generalizations of axial algebras. The classes decomposition algebras, axial decomposition al;gebras and non-primitive axial algebras also have univesal algebras.
arxiv
International Journal of Adaptive Control and Signal Processing, EarlyView.Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez +2 more
wiley +1 more source
Fortifying the Yomdin-Gromov Algebraic Lemma [PDF]
arXiv, 2023 We provide sharp cylindrical parametrizations of cylindrical cell decompositions by maps with bounded $C^{r}$ norm in the sharply o-minimal setting, thus generalizing and strengthening the Yomdin-Gromov Algebraic Lemma. We introduce forts, geometrical objects encoding the combinatorial structure of cylindrical cell decompositions in o-minimal geometry.
arxiv
Artificial Receptor in Synthetic Cells Performs Transmembrane Activation of Proteolysis
Advanced Biology, EarlyView.Transmembrane signaling is the hallmark of living cells and is among the highest challenges for the design of synthetic cells. Herein, an artificial receptor based on the chemistry of self‐immolative linkers is used to communicate information across the lipid bilayer, for transmembrane activation of enzymatic activity. Abstract The design of artificial,
Ane Bretschneider Søgaard +7 more
wiley +1 more source
In situ studies of the degradation mechanisms of perovskite solar cells
EcoMat, 2020 The last decade has seen an extraordinary rise in the performance of perovskite solar cells (PSCs). State‐of‐the‐art devices now have efficiencies of over 25%, putting them on par with the best silicon solar cells.
Soumya Kundu, Timothy L. Kelly
doaj +1 more source
Advanced Biology, EarlyView.Positively supercharged mGreenLatern protein is self‐assembled electrostatically with negatively charged zinc phthalocyanines to yield bio‐based photoactive materials in aqueous media. The addition of phthalocyanines results in the formation of large complexes fully quenching of the protein fluorescence. The results indicate an energy transfer from the
Sharon Saarinen +10 more
wiley +1 more source
Spatiotemporal Control Over Protein Release from Artificial Cells via a Light‐Activatable Protease
Advanced Biology, EarlyView.Stimulus‐responsive protein release is essential for intercellular communication. Mimicking this functionality in artificial cells is promising to study the working principles of cellular signaling. Herein, an engineered light‐activatable protease is implemented in a coacervate‐based artificial cell platform to establish user‐defined spatiotemporal ...
Arjan Hazegh Nikroo +4 more
wiley +1 more source