Results 171 to 180 of about 3,127 (285)

Properties of extensions of algebraically maximal fields

Collectanea Mathematica, 2003
We prove analogues to the Ax-Kochen-Ershov theorem for some cases of pairs of algebraically maximal fields of residue characteristic \(p >0\). By a pair of valued fields, we mean a structure \((K\subset L,v)\), with \((L, v)\) a valued field, and \(K\) a subfield of \(L\).
openaire   +2 more sources

Faster and More Robust CK Reaction Rate Estimation at 3T Using Acquisition‐Weighted 31P Cardiac 1D‐MRSI With Compartment‐Based Reconstruction

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Quantification of the creatine kinase (CK) forward reaction rate (kf) in the human heart using phosphorus magnetic resonance spectroscopy is clinically important; however, it is limited by long acquisition times, operator subjectivity in analysis, and potential skeletal muscle contamination.
Aaron Axford, Iveta Pajanová, William D. Watson, Andrew C. Tyler, Roshan Xavier, Ferenc E. Mózes, Oliver J. Rider, Damian J. Tyler, Ladislav Valkovič   +8 more
wiley   +1 more source

Wild Galois representations: elliptic curves with wild cyclic reduction. [PDF]

Res Number Theory
Coppola N.
europepmc   +1 more source

Physics‐Guided Neural Network for Quantitative Parameter Mapping Using Balanced Steady State Free Precession MRI

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To propose a new method using a physics‐guided neural network for quantitative parameter mapping in balanced steady‐state free precession (bSSFP) imaging. Theory and Methods We trained physics‐guided neural networks with a multilayer perceptron using simulated bSSFP signals generated from tissue parameters (T1$$ {T}_1 $$, T2$$ {T}_2 $$,
Hye‐Ryeong Choi, Huan Minh Luu, Sung‐Hong Park   +2 more
wiley   +1 more source

Direct Products for the Hamiltonian Density Property. [PDF]

J Geom Anal
Andrist RB, Huang G.
europepmc   +1 more source

Four Directions, One Solution: Enabling Rapid Diffusion Tensor MRI for Ultra‐Low Field Using Deep Learning

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose This study revisits the tetrahedral encoding strategy originally proposed to accelerate Diffusion Tensor Magnetic Resonance Imaging (DT‐MRI) by reducing the requisite number of diffusion‐weighted measurements to four. We examine its practical limitations and explore how artificial intelligence (AI) can extend its utility. Specifically,
Joshua Mawuli Ametepe, James Gholam, Leandro Beltrachini, Mara Cercignani, Derek Kenton Jones   +4 more
wiley   +1 more source

Soliton dynamics in the stochastic nonlinear Schrödinger equation with self-phase modulation and multiplicative white noise. [PDF]

Sci Rep
Shehab MF, Ahmed HM, Hussein HH.
europepmc   +1 more source

A Discussion about the Field Extension, Degree of Field Extension and Algebraic Extension

International Journal of Science and Research (IJSR), 2015
openaire   +1 more source

A Comprehensive Multistage Average Controller for Trajectory Tracking in Solar‐Powered Mobile Robots: Analysis of Actuator‐Driver and Power Stage Integration

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This work addresses the challenge of bidirectional trajectory tracking in solar‐powered wheeled mobile robots (WMRs), considering the mechanical structure, actuator‐driver, and power stage subsystems. Notably, this is the first study to explicitly model and control the actuator‐driver subsystem within this context. The proposed solution relies
Benjamin Natanael Santiago‐Nogales, Julio Cesar Ordaz‐Dehesa, Ramón Silva‐Ortigoza, Erik Reyes‐Reyes, J. Martín Alba‐Martínez, Juan Eduardo Velázquez‐Velázquez, José Rafael García‐Sánchez, Magdalena Marciano‐Melchor, Hind Taud   +8 more
wiley   +1 more source

Applications of representation theory and of explicit units to Leopoldt's conjecture. [PDF]

Res Number Theory
Ferri F, Johnston H.
europepmc   +1 more source