Results 61 to 70 of about 691 (188)
Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
On the Two-Parameter Matrix Pencil Problem
SIAM Journal on Matrix Analysis and Applications23 pages, accepted in ...
Satin K. Gungah +2 more
openaire +3 more sources
Combustion and Pyrolysis EA‐IRMS Techniques to Determine the δ2H of Diamonds
Rapid Communications in Mass Spectrometry, Volume 40, Issue 10, 30 May 2026.ABSTRACT Rationale Diamonds are generally considered to be metasomatic minerals originating from the Earth's mantle. They formed through the interaction of carbon‐bearing fluids or melts with the surrounding deep lithology. Most knowledge about the formation of diamonds comes from studying their mineral inclusions or stable isotopes.
François Fourel +4 more
wiley +1 more source
Simultaneous Detection of GABA and Glycine Using MEGA‐PRESS With TE Optimization at 3T
Magnetic Resonance in Medicine, Volume 95, Issue 5, Page 2479-2488, May 2026.ABSTRACT Purpose To achieve the simultaneous acquisition of gamma‐aminobutyric acid (GABA) and glycine (Gly) using a MEGA‐PRESS sequence with an optimized TE at 3T. Methods MEGA‐PRESS simulations were performed at TEs 60‐88 ms to determine the optimal TE for Gly detection with minimal myo‐Inositol (mI) overlap and maximal GABA detection sensitivity ...
Justin R. Singer, Kimberly L. Chan
wiley +1 more source
Minimal bases of matrix pencils and coprime matrix fraction descriptions
IMA Journal of Mathematical Control and Information, 2002 There are four main approaches that have emerged so far for the construction of a coprime matrix fraction description (MFD) of a proper rational matrix: (a) a method defined by Rosenbrock, (b) the reduction to the block Hessenberg form (BHF) or the block Frobenious form (BFF), (c) the minimal design problem (MDP), and (d) a method defined by Wolovich ...
Karcanias, N., Mitrouli, M.
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Rapid Free‐Breathing and Automated 2D Shimming of the Lung at 3T
Magnetic Resonance in Medicine, Volume 95, Issue 5, Page 2737-2745, May 2026.ABSTRACT Purpose To develop and validate a rapid, fully automated method for shimming of the lung. Methods For field mapping of the lung, a custom 2D RF spoiled gradient echo sequence was used offering sub‐millisecond echo times. At 3T, four echo‐shifted coronal images were acquired with a minimum TE of 0.57 ms and an inter‐echo spacing of 0.1 ms ...
Pavlos Panos +2 more
wiley +1 more source
The matrix pencil as a tunable filter
Journal of Magnetic ResonanceDespite inherent sensitivity constraints, nuclear magnetic resonance (NMR) plays an indispensable role in probing molecular structures and dynamics across scientific disciplines. Remarkably, while extensive efforts have targeted instrumental and experimental sensitivity improvements, comparatively little focus has been dedicated to sensitivity ...
S N, Fricke +3 more
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Magnetic Resonance in Medicine, Volume 95, Issue 4, Page 2254-2265, April 2026.ABSTRACT Purpose To investigate whether varying delivery times of hyperpolarized [1‐13C]pyruvate, enabled by the increased apparent T1 dissolved in deuterium oxide (D2O), affects the observed kinetics of glycolytic brain metabolism in vivo. Methods Eighteen healthy mice were injected with 300 μL of hyperpolarized [1‐13C]pyruvate dissolved in D2O at ...
Paola Porcari +5 more
wiley +1 more source
On the Reduction of Singular Matrix Pencils [PDF]
Proceedings of the Edinburgh Mathematical Society, 1935 The following rational method of dealing with the reduction of a singular matrix pencil to canonical form has certain advantages. It is based on the principle of vector chains, the length of the chain determining a minimal index. This treatment is analogous to that employed by Dr A. C.
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Identifying Out‐of‐Voxel Echoes in Edited MRS With Phase Cycle Inversion
Magnetic Resonance in Medicine, Volume 95, Issue 4, Page 1921-1933, April 2026.ABSTRACT Purpose To identify the origin of out‐of‐voxel (OOV) signals based on the coherence transfer pathway (CTP) formalism using signal phase conferred by the acquisition phase cycling scheme. Knowing the CTP driving OOV artifacts enables optimization of crusher gradients to improve their suppression.
Zahra Shams +14 more
wiley +1 more source