Results 131 to 140 of about 9,794,717 (361)
Runge approximation on convex sets implies the Oka property
We prove that the classical Oka property of a complex manifold Y, concerning the existence and homotopy classification of holomorphic mappings from Stein manifolds to Y, is equivalent to a Runge approximation property for holomorphic maps from compact ...
Forstneric, Franc
core
The Analytic Properties of the Distorted Wave Born Approximation Amplitude [PDF]
Koichi Yazaki
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Decrypting cancer's spatial code: from single cells to tissue niches
Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik+4 more
wiley +1 more source
Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic [PDF]
A. Pełczyński
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On the approximation property of excellent rings
Let A be a semilocal noetherian ring, with Jacobson radical I, whose generic formal fibres are geometrically regular. Suppose either that \({\mathbb{Q}}\subseteq A\) or that, for each minimal \(prime\quad g_ i\) of A, the fraction field of \(A/g_ i\) has a separating transcendence basis over a perfect subfield \(P_ i\) such that \(\prod P_ i\subset A ...
openaire +3 more sources
In this exploratory study, we investigated the relationship between the gut microbiota and outcome in patients with metastatic hormone receptor‐positive breast cancer, treated in a randomized clinical trial with chemotherapy alone or chemotherapy in combination with immune checkpoint blockade.
Andreas Ullern+7 more
wiley +1 more source
On discrete twisted C*-dynamical systems, Hilbert C*-modules and regularity
We first give an overview of the basic theory for discrete unital twisted C*-dynamical systems and their covariant representations on Hilbert C*-modules.
Bedos, Erik, Conti, Roberto
core
Regularity properties of the element of closest approximation [PDF]
Harold S. Shapiro
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Using multi‐omic characterization, we aimed to identify key regulators specific to squamous cell lung carcinoma (SqCC). SqCC‐specific differentially expressed genes were integrated with metabolics data. High expression of the creatine transporter SLC6A8, along with elevated creatine levels, appeared to be a distinct metabolic feature of SqCC.
Johan Staaf+10 more
wiley +1 more source
Splitting quasinorms and metric approximation properties [PDF]
Stephen Simons, T. Leih
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