Results 131 to 140 of about 3,080 (245)
Abstract The North Qiangtang Block occupies a pivotal position within the eastern Tethyan realm, and its paleogeographic reconstruction is critical for constraining Tethyan geometry and evolution. However, its Late Paleozoic paleogeography and Paleo‐Tethyan Ocean–continent configuration remain controversial due to limited reliable age‐constrained ...
Jiahui Zhang +12 more
wiley +1 more source
Splitting of Conditional Expectations and Liftings in Product Spaces II
Let (X,A,P) and (Y,B,Q) be two probability spaces, R be their skew product on the product σ-algebra A⊗B and {(Ay,Sy):y∈Y} be a Q-disintegration of R. Then, let A⋇B be the σ-algebra generated A⊗B and by the family M:={E⊂X×Y:∃N∈B0∀y∉NSy^(Ey)=0} and R⋇ be ...
Kazimierz Musiał
doaj +1 more source
Borel measurable images of Polish spaces
We determine the Borel class of the image of a Polish space under a Borel measurable function of class η \eta which maps open sets in the Polish space to Borel sets of additive class ξ \xi in the range, under a mild ...
Ashok Maitra, Sandro Levi
core +1 more source
On the Meaning of Localization in Non‐Local Quantum Field Theory
In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley +1 more source
On the Hausdorff dimension of circular Furstenberg sets
On the Hausdorff dimension of circular Furstenberg sets, Discrete Analysis 2024:18, 83 pp. In the late 1990s, Wolff proved the following result. Suppose that the set $E\subset \mathbb R^2$ contains circles centered at all points of a Borel set with ...
Katrin Fässler +2 more
doaj +1 more source
We use the notion of Borel generators to give alternative methods for computing standard invariants, such as associated primes, Hilbert series, and Betti numbers, of Borel ideals.
Jeffrey Mermin +5 more
core +1 more source
HPV‐Adjusted Feature Screening With FDR Control in Head and Neck Cancer
ABSTRACT Human papillomavirus (HPV) is a well‐established prognostic factor in head and neck (HN) cancer, with HPV‐positive patients exhibiting markedly better survival outcomes compared to their HPV‐negative counterparts. While advances in (cancer) genomics have been pivotal to precision medicine, existing gene screening methods for identifying ...
Atika Farzana Urmi +2 more
wiley +1 more source
Non‐negative Gaussian estimation of variance components in random effects models
Abstract When used to estimate variance components (VCs), confidence intervals (CIs) can be truncated at zero, have a point estimate not in the quoted CI, be empty with positive probability, or be all‐inclusive. This is because they have conflicting dual roles, since they are considered to cover the parameter with a specified probability while also ...
André Plante, Michael Plante
wiley +1 more source
ABSTRACT Data‐based learning of system dynamics allows model‐based control approaches to be applied to systems with partially unknown dynamics. Gaussian process regression is a preferred approach that outputs not only the learned system model but also the variance of the model, which can be seen as a measure of uncertainty.
Daniel Landgraf +2 more
wiley +1 more source
Kadec norms and Borel sets in a Banach space
We introduce a property for a couple of topologies that allows us to give simple proofs of some classic results about Borel sets in Banach spaces by Edgar, Schachermayer and Talagrand as well as some new results.
Raja, M., Raja Baño, Matías
core +1 more source

