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Analysing the Reciprocity Law for UV-LEDs in Water Disinfection of Escherichia coli, Enterococcus faecalis, and Clostridium perfringens [PDF]
Water, 2023 The aim of this study is to verify the reciprocity law in the wastewater disinfection process using UV light. The optical power UV-LEDs used were 1.6 mW and 50 mW, and the wavelengths were 265 nm and 275 nm. E.
Abdullah Ayoub Kamel +3 more
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On explicit reciprocity law over formal groups
International Journal of Mathematics and Mathematical Sciences, 2004 Let 𝔣 be a one-dimensional Lubin-Tate formal group over ℤp. Colmez (1998) and Perrin-Riou (1994) proved an explicit reciprocity law for tempered distributions over the formal group 𝔾m. In this paper, the general explicit reciprocity law over the formal
Shaowei Zhang
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Non-reciprocity across scales in active mixtures [PDF]
Nature Communications, 2023 In active matter, particles typically experience mediated interactions, which are not constrained by Newton’s third law and are therefore generically non-reciprocal.
Alberto Dinelli +5 more
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A supplement to Scholz's reciprocity law [PDF]
, 2007 In this note we will present a supplement to Scholz's reciprocity law and discuss applications to the structure of 2-class groups of quadratic number ...
Franz Lemmermeyer
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The strong Suslin reciprocity law [PDF]
Compositio Mathematica, 2021 We prove the strong Suslin reciprocity law conjectured by A. Goncharov. The Suslin reciprocity law is a generalization of the Weil reciprocity law to higher Milnor$K$-theory. The Milnor$K$-groups can be identified with the top cohomology groups of the polylogarithmic motivic complexes; Goncharov's conjecture predicts the existence of a contracting ...
D. Rudenko
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On Scholz’s reciprocity law [PDF]
Proceedings of the American Mathematical Society, 1977 An elementary proof is given of a reciprocity law proved by Scholz using class-field theory.
Kenneth S. Williams
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Harbingers of Artin's Reciprocity Law. IV. Bernstein's Reciprocity Law [PDF]
, 2012 In the last article of this series we will first explain how Artin's reciprocity law for unramified abelian extensions can be formulated with the help of power residue symbols, and then show that, in this case, Artin's reciprocity law was already stated by Bernstein in the case where the base field contains the roots of unity necessary for realizing ...
Lemmermeyer, Franz
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Reciprocity laws and K-theory [PDF]
Annals of K-Theory, 2016 We associate to a full flag $\mathcal{F}$ in an $n$-dimensional variety $X$ over a field $k$, a "symbol map" $ _{\mathcal{F}}:K(F_X) \to ^n K(k)$. Here, $F_X$ is the field of rational functions on $X$, and $K(\cdot)$ is the $K$-theory spectrum. We prove a "reciprocity law" for these symbols: Given a partial flag, the sum of all symbols of full flags
Evgeny Musicantov, Alexander Yom Din
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Resin viscosity determines the condition for a valid exposure reciprocity law in dental composites. [PDF]
Dent Mater, 2020 Palagummi SV +4 more
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The reciprocity law concerning light dose relationships applied to BisGMA/TEGDMA photopolymers: theoretical analysis and experimental characterization. [PDF]
Dent Mater, 2014 Wydra JW +3 more
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