We thank Miss Marion Amos for typing the manuscript and Tina Stallion for preparing the figure. 1 McPaul JJ, McIntosh DA, Hammond WS, et al. Autonomous secondary renal parathyroid hyperplasia. N EnglJ Med 1%4;271:1342-5. 2 Davies DR, Dent CE, Wilicox A. Hyperparathyroidism and steatorrhoea. BrMedJ7 1956;ii:1133-7. 3 Dandona P, Mohiuddin J, Weerakoon JW, Freedman DB, Fonseca V, Healey T. Persist...

We study the Isomorphism Conjecture proposed by Berman and Hartmanis. It states that all sets complete for NP under polynomial-time many-one reductions are P-isomorphic to each other. From previous research it has been widely believed that all NP-complete sets are reducible each other by one-to-one and length-increasing polynomial-time reductions, but we may not hope for the full p-isomorphism ...

Extending the notion of pattern avoidance in permutations, we study matchings and set partitions whose arc diagram representation avoids a given configuration of three arcs. These configurations, which generalize 3-crossings and 3-nestings, have an interpretation, in the case of matchings, in terms of patterns in full rook placements on Ferrers boards. We enumerate 312-avoiding matchings and pa...

This research project was supported by the Swedish Research Council [Vetenskapsradet] [grant number 2018-016114], PI: Anna Luhrmann and European [H2020 Council], grant 724191, Staffan I. Lindberg, V-Dem Institute, University of Gothenburg, Sweden as well internal grants from Office Vice- Chancellor, Dean Department Social Sciences, Political Science at Gothenburg. Nils Dupont appreciates fundin...

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This paper describes the syntheses of core/shell gold nanoparticles stabilized with a monolayer of double hydrophilic block copolymer and their stimuli responsiveness before and after shell cross-linking. The hybrid nanoparticles consist of gold core, cross-linkable poly(2-(dimethylamino)ethyl methacrylate) (PDMA) inner shell, and poly(ethylene oxide) (PEO) corona. First, diblock copolymer PEO-...