Results 71 to 80 of about 1,073 (182)

Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces

Journal of Graph Theory, Volume 112, Issue 4, Page 491-506, August 2026.
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar, Eleftherios Kastis, Derek Kitson, William Sims   +3 more
wiley   +1 more source

On the Hausdorff measure of sets of non-Lyapunov behaviour, and a Jarnik-type theorem for random Schroedinger operators

, 2022
We consider the growth of the norms of transfer matrices of ergodic discrete Schr\"odinger operators in one dimension. It is known that the set of energies at which the rate of exponential growth is slower than prescribed by the Lyapunov exponent is ...
Sodin, Sasha
core  

Rendering transparency to ranking in educational assessment via Bayesian comparative judgement

Review of Education, Volume 14, Issue 2, August 2026.
Abstract Transparency in educational assessment has become an increasingly pressing concern, particularly in the aftermath of the pandemic, as institutions seek more equitable, robust and defensible methods of evaluating student work. Comparative judgement (CJ) has gained traction as a promising alternative to traditional rubric‐based marking. However,
Andy Gray, Stephen Lindsay, Jen Pearson, Tom Crick, Alma Rahat   +4 more
wiley   +1 more source

Boundary behaviour of M-harmonic functions and non-isotropic Hausdorff measure

, 2002
In this paper we consider weighted boundary behaviour of $\mm$-harmonic functions on the unit ball of $\C^n$. In particular, we show that a measure on the unit sphere of $\C^n$ admits a component along the non-isotropic Hausdorff measure on that sphere ...
Jaming, Philippe, Roginskaya, Maria
core  

Blinded, bias‐controlled multi‐rater evaluation of human‐versus‐AI brain metastasis segmentation using a hybrid foundation‐model framework

Medical Physics, Volume 53, Issue 7, July 2026.
Abstract Background Accurate segmentation of brain metastases (BM) is essential for diagnosis, stereotactic radiosurgery planning, and longitudinal assessment. However, manual contouring is time‐intensive, limiting clinical scalability, and exhibits substantial inter‐observer variability.
Yiding Han, Enze Zhu, Mhd Hasan AI Mekdash, Omar Awad, Piyush Pathak, Shixiao Liang, Daniel Allan Hamstra, Xizhe Zhang, Zaid Ali Siddiqui, Baozhou Sun   +9 more
wiley   +1 more source

Clinically Feasible White Matter Fiber Tractography in Peritumoral Zones With Cerebral Vasogenic Edema

Magnetic Resonance in Medicine, Volume 96, Issue 1, Page 287-301, July 2026.
ABSTRACT Purpose In diffusion MRI, vasogenic edema manifests as a major fraction of isotropic water that dilutes the anisotropic intra‐axonal portion of the signal. Many tractography algorithms mistake vasogenic edema for the white matter boundary and terminate tracking to prevent producing spurious streamlines.
Patryk Filipiak, Timothy M. Shepherd, Kamri Clarke, Gaia Ressa, Dimitris G. Placantonakis, Fernando E. Boada, Steven H. Baete   +6 more
wiley   +1 more source

Tate modules as condensed modules

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract We prove that the category of countable Tate modules over an arbitrary discrete ring embeds fully faithfully into that of condensed modules. If the base ring is of finite type, we characterize the essential image as generated by the free module of infinite countable rank under direct sums, duals and retracts.
Valerio Melani, Hugo Pourcelot, Gabriele Vezzosi   +2 more
wiley   +1 more source

Compactness, Existence, and Partial Regularity in Hydrodynamics of Liquid Crystals

, 2021
This thesis mainly focuses on the PDE theories that arise from the study of hydrodynamics of nematic liquid crystals.In Chapter 1, we give a brief introduction of the Ericksen–Leslie director theory and Beris–Edwards Q-tensor theory to the PDE modeling ...
Du, Hengrong
core  

Cohomology of solvable saturable pro‐p$p$ groups and Lie algebras

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Let p$p$ be an odd prime and let n∈N$n\in \mathbb {N}$ be an integer. We show that the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of a solvable saturable pro‐p$p$ group is isomorphic to the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of its associated Zp$\mathbb {Z}_p$‐Lie algebra g$\mathfrak {g}$ as an Fp$\mathbb {F}_p$‐vector space.
Oihana Garaialde Ocaña, Jon González‐Sánchez, Lander Guerrero‐Sánchez   +2 more
wiley   +1 more source

Sections and projections of the outer and inner regularizations of a convex body

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We establish new geometric inequalities comparing the volumes of sections and projections of a convex body, whose barycenter or Santaló point is at the origin, with those of its inner and outer regularizations. We also provide functional extensions of these inequalities to the setting of log‐concave functions. Our approach relies on the recent
Natalia Tziotziou
wiley   +1 more source