Results 131 to 140 of about 5,027 (259)
On the non-separable theory of k-borel and k-souslin sets
The object of the paper is to extend the classical concepts of a Borel and Souslin set for non-separable metric spaces by allowing σ-discrete families of cardinality ⩽ k (k an infinite cardinal) to replace countable families in the standard definitions ...
Hansell, Roger W.
core +1 more source
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
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
Convex functions with non-Borel set of Gâteaux differentiability points [PDF]
summary:We show that on every nonseparable Banach space which has a fundamental system (e.g\. on every nonseparable weakly compactly generated space, in particular on every nonseparable Hilbert space) there is a convex continuous function $f$ such that ...
Holický, P. +2 more
core
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
An Example of a Measurable Set that is not Borel
This thesis gives a more detailed version of a proof from Daniel Mauldin that the set of continuous functions defined on the interval $[0,1]$ that are nowhere differentiable is not Borel.
Vos, G. (author)
core
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
Topologies on the group of Borel automorphisms of a standard Borel space
The paper is devoted to the study of topologies on the group $\text{\rm Aut}(X,{\Cal B})$ of all Borel automorphisms of a standard Borel space $(X, {\mathcal B})$. Several topologies are introduced and all possible relations between them are found.
Kwiatkowski, Jan +2 more
core
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
Invariant Combinatorics on Borel Equivalence Relations
This thesis comprises four independent parts and an appendix. 1. We define and study expansion problems on countable structures in the setting of descriptive combinatorics.
Wolman, Michael Solomon
core +1 more source

