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Validation of a Low-Cost Open-Ended Coaxial Probe Setup for Broadband Permittivity Measurements up to 6 GHz. [PDF]

open access: yesSensors (Basel)
Arias-Rodríguez J   +4 more
europepmc   +1 more source

The endoplasmic reticulum as an active liquid network. [PDF]

open access: yesProc Natl Acad Sci U S A
Scott ZC   +4 more
europepmc   +1 more source
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Recognizing Simple Subextensions of Purely Transcendental Field Extensions

Applicable Algebra in Engineering, Communication and Computing, 2000
Let \(k(X)/k\) be a finitely generating purely transcendental field extension, where \(X\) is algebraically independent over \(k\). It is known that all intermediate fields \(K\) of \(k(X)/k\) with \(\text{transdeg} (K/k)=1\) are simple extensions of \(k\).
Mueller-Quade, Jörn, Steinwandt, Rainer
openaire   +2 more sources

Value groups and simple transcendental extensions

Mathematika, 1991
Let K(x) be a simple transcendental extension of a field K, v be a valuation of K and w be an extension of v to K(x). Let \(k_ 0\subseteq k\) and \(G_ 0\subseteq G\) be the respective residue fields and value groups of the valuations v and w. A well-known result conjectured by Nagata and proved by \textit{J. Ohm} [Proc. Am. Math. Soc.
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