Results 51 to 60 of about 660,133 (262)
An Application On The Lucas Numbers And Infinite Toeplitz Matrices
In this paper, we firstly establish the regular matrix by using Lucas numbers. Then, byintroducing the sequence space with the help of the matrix , we show that this space is a BK-space and isomorphic to the space . Also, we give some inclusion relations
Murat Karakaş, Hasan Karabudak
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Functional Sequence in Norm Space
Summary In this article, we formalize in Mizar [1], [2] functional sequences and basic operations on functional sequences in norm space based on [5]. In the first section, we define functional sequence in norm space. In the second section, we define pointwise convergence and prove some related theorems.
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From mice to humans—divergent strategies for intestinal homeostasis and regeneration
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
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On some binomial B ( m ) $B^{(m)}$ -difference sequence spaces
In this paper, we introduce the binomial sequence spaces b 0 a , b ( B ( m ) ) $b^{a,b}_{0}(B^{(m)})$ , b c a , b ( B ( m ) ) $b^{a,b}_{c}(B^{(m)})$ and b ∞ a , b ( B ( m ) ) $b^{a,b}_{\infty}(B^{(m)})$ by combining the binomial transformation and ...
Jian Meng, Meimei Song
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Inositol pyrophosphates are energy‐rich signaling molecules that perform critical functions in cells. Three different families of phosphatases hydrolyze the β phosphate of the inositol pyrophosphate molecules: two have narrow specificities and one is promiscuous.
Ronda J. Rolfes
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Modelling stem cell differentiation related processes—A practical overview for biologists
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0
In this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
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Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Bekanntlich heißt ein Raum \(E\) von komplexwertigen Folgen \(x=(x_ n)\) solid, wenn gilt: \(x\in E\;\&\;| y_ n|\leq| x_ n|\), \((n\in\mathbb{N})\Rightarrow y\in E\). Diese Eigenschaft läßt sich auf vektorwertige Folgenräume in verschiedene Richtungen verallgemeinern. Für einen normierten Raum \(X\) bezeichne \(s(X)\) den Raum aller Folgen \(x=(x_ n)\)
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On sequence space representations of Hörmander–Beurling spaces
[EN] It is shown that B-p'.1/(k) over bar(loc) (Omega) is isomorphic to (B-p,k(c) (Omega))(b)' (Omega open set in R-n, 1
Motos, Joaquín, Planells, María Jesús
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