Results 101 to 110 of about 203,139 (278)

Norm Estimates for Solutions of Polynomial Operator Equations

Journal of Mathematics, 2015
We consider the equations ∑k=0mcm-kAkXBk=C and ∑k=0mcm-kAkXBm-k=C, where ck∈C  (k=1,…,m), c0=1, A,B,C are given linear bounded operators in a Banach space and X is to be found. Representations of solutions are derived.
Michael Gil’
doaj   +1 more source

Traction Force Microscopy for Viscoelastic Substrates: A Semi‐Analytical Method

Advanced Science, EarlyView.
A semi‐analytical viscoelastic traction force microscopy framework is introduced for quantifying time‐resolved cell tractions on flat finite‐thickness substrates. The method generalizes elastic traction force microscopy to Generalized Maxwell materials, identifies when elastic approximations remain valid and, when they do not, shows that inferred ...
Adrià Villacrosa‐Ribas, Daniëlle C. A. Duffhues, Pim van den Bersselaar, Sarah Pragnere, Bart G. W. Groenen, Mariana Azevedo Gonzalez Oliva, Giuseppe Ciccone, Manuel Salmeron‐Sanchez, Carlijn V. C. Bouten, Jose J. Muñoz, Vito Conte   +10 more
wiley   +1 more source

Matrix Quasinorms Induced by Maximal and Minimal Vector Norms

Journal of Function Spaces, 2016
In the set of all vector norms in Cn, there exist maximal and minimal complex norms which coincide with the real Euclidean norm in Rn. The purpose of this paper is to introduce new quasinorms defined on complex matrices.
Jong-Do Park
doaj   +1 more source

Generalising Ward's Method for Use with Manhattan Distances.

PLoS ONE, 2017
The claim that Ward's linkage algorithm in hierarchical clustering is limited to use with Euclidean distances is investigated. In this paper, Ward's clustering algorithm is generalised to use with l1 norm or Manhattan distances.
Trudie Strauss, Michael Johan von Maltitz   +1 more
doaj   +1 more source

Cross‐Modal Denoising and Integration of Spatial Multi‐Omics Data with CANDIES

Advanced Science, EarlyView.
In this paper, we introduce CANDIES, which leverages a conditional diffusion model and contrastive learning to effectively denoise and integrate spatial multi‐omics data. We conduct extensive evaluations on diverse synthetic and real datasets, CANDIES shows superior performance on various downstream tasks, including denoising, spatial domain ...
Ye Liu, Wanpeng Zou, Yuekai Li, Jiayi Wang, Mingxuan Cai, Hongmin Cai   +5 more
wiley   +1 more source

The Rosenthal-Szasz inequality for normed planes

, 2018
We aim to study the classical Rosenthal-Szasz inequality for a plane whose geometry is given by a norm. This inequality states that the bodies of constant width have the largest perimeter among all planar convex bodies of given diameter.
Balestro, Vitor, Martini, Horst
core  

Grokking Beyond the Euclidean Norm of Model Parameters

CoRR
67 pages, 35 figures.
Pascal Tikeng Notsawo Jr., Guillaume Dumas, Guillaume Rabusseau   +2 more
openaire   +3 more sources

Flexible IMU Sensor Array For 3D Colonoscope Shape Reconstruction and AI‐Based Loop Detection

Advanced Science, EarlyView.
We propose a sensing platform for 3D visualization of the colonoscope combined with artificial intelligence (AI)‐based loop detection. The system consists of an array of 15 inertial measurement units (IMUs) mounted on a flexible printed circuit board that can be retrofitted into the instrument channel of conventional colonoscopes.
Tuukka Panula, Anni Halkilahti, Andrei Ivanov, Matti Kaisti   +3 more
wiley   +1 more source

Some Remarks Concerning Quasiconformal Extensions in Several Complex Variables

Journal of Inequalities and Applications, 2008
Let B be the unit ball in ℂn with respect to the Euclidean norm. In this paper, we obtain a sufficient condition for a normalized quasiregular mapping f∈H(B) to be extended to a quasiconformal homeomorphism of ℝ2n onto itself.
Gabriela Kohr, Paula Curt
doaj   +1 more source

SDS‐CRISPR for Single‐Nucleotide Variant Detection

Advanced Science, EarlyView.
Structure‐disruption‐sensitive CRISPR (SDS‐CRISPR) converts structural instability into single‐nucleotide precision, thereby overcoming mismatch tolerance in canonical Cas12a and enabling versatile diagnostics across DNA, RNA, and microRNA targets. When applied to rapid IDH1 mutation detection for glioma genotyping and integrated with lateral‐flow ...
Xin Guan, Chong Guo, Jiongyu Zhang, Rui Yang, Yerramsetti Ramachandra, Chengyu Hou, Minjie Pei, Shuo Zhang, Kurt T. Schalper, Xingye Liu, Qian Wu, Ketan R. Bulsara, Changchun Liu   +12 more
wiley   +1 more source