From mice to clinical relevance: humanizing neuroscience with human-based model systems. [PDF]
Bak AV +3 more
europepmc +1 more source
A fast, accurate and oscillation-free spectral collocation solver for high-dimensional transport problems. [PDF]
Cavallini N +3 more
europepmc +1 more source
Most Ventral Pallidal Cholinergic Neurons Are Bursting Basal Forebrain Cholinergic Neurons with Mesocorticolimbic Connectivity. [PDF]
Schlingloff D +6 more
europepmc +1 more source
Impact of Fabrication Defects on FPGA Logic Using Memristor-Based Memory Cells. [PDF]
Schoenen J +10 more
europepmc +1 more source
Reliability of AI-Automated and Semiautomated Upper Airway Volume Segmentation. [PDF]
Chwarścianek N +3 more
europepmc +1 more source
Diffusion-MRI-Based Estimation of Cortical Architecture via Machine Learning (DECAM) in Primate Brains. [PDF]
Zhu T +7 more
europepmc +1 more source
The Harmonicity of Slice Regular Functions [PDF]
AbstractIn this article, we investigate harmonicity, Laplacians, mean value theorems, and related topics in the context of quaternionic analysis. We observe that a Mean Value Formula for slice regular functions holds true and it is a consequence of the well-known Representation Formula for slice regular functions over $${\mathbb {H}}$$
Cinzia Bisi, Jörg Winkelmann
exaly +4 more sources
Holomorphicity of Slice-Regular Functions [PDF]
Slice-regular functions of a quaternionic variable have been studied extensively in the last 12 years, resulting, in many ways, quite close to classical holomorphic functions of a complex variable; indeed, there is a correspondence between slice-regular functions and a certain family of holomorphic maps from the complex plane to $\mathbb{C}^4$, as ...
Samuele Mongodi
exaly +7 more sources
Sheaves of slice regular functions
AbstractSlice regular functions have been introduced in 20 as solutions of a special partial differential operator with variable coefficients. As such they do not naturally form a sheaf. In this paper we use a modified definition of slice regularity, see 21, to introduce the sheaf of slice regular functions with values in in the algebra of quaternions ...
Fabrizio Colombo +2 more
exaly +9 more sources

