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A general approach to constructing power-sequence terraces for Zn

Ian Anderson, D.A. Preece
2008 Discrete Mathematics  
We now present a new general power-sequence approach that yields Z n terraces for all odd primes n less than 1000 except for n = 601.  ...  For n odd, many procedures have been published for constructing power-sequence terraces for Z n ; each such terrace may be partitioned into segments one of which contains merely the zero element of Z n  ...  Acknowledgement We are grateful to Dr Wilson Stothers (University of Glasgow) for informing us of Theorem 1.2.  ... 
doi:10.1016/j.disc.2007.07.051 fatcat:an3hs5q4m5btrgij6usf7v7wvi

Power-sequence terraces for Zn where n is an odd prime power

Ian Anderson, D.A. Preece
2003 Discrete Mathematics  
A power-sequence terrace for Zn is deÿned to be a terrace which can be partitioned into segments one of which contains merely the zero element of Zn, whilst each other segment is either (a) a sequence  ...  Many elegant families of such Zn terraces are constructed for values of n that are odd prime powers.  ...  Acknowledgements The authors are grateful to M.A. Ollis (Queen Mary, University of London) for discussions that helped to stimulate the work reported in this paper.  ... 
doi:10.1016/s0012-365x(02)00459-4 fatcat:pvhksbkqfbdz3mrisjq2wxqvle


Ian Anderson, D. A. Preece
2007 Proceedings of the Edinburgh Mathematical Society  
We now refine this idea to show that, for m = n − 1, where n is an odd prime power, there are many ways in which power-sequences in Zn can be used to arrange the elements of Zn \ {0} in a sequence of distinct  ...  For m odd, many procedures are available for constructing power-sequence terraces for Zm; each terrace of this sort may be partitioned into segments, of which one contains merely the zero element of Zm  ...  The authors are grateful to M. A. Ollis (Marlboro College, Marlboro, VT) for providing the stimulus for the work reported in this paper.  ... 
doi:10.1017/s0013091504000045 fatcat:3uq7imkcfffhtpsrbsn2dt4lpa

Some da capo directed power-sequence Zn+1 terraces with n an odd prime power

Ian Anderson, D.A. Preece
2008 Discrete Mathematics  
We now extend this idea by using power-sequences in Z n to produce some terraces for Z n+1 where n is an odd prime power satisfying n ≡ 1 or 3 (mod 8).  ...  For n odd, many procedures are available for constructing power-sequence terraces for Z n ; each such terrace may be partitioned into segments one of which contains merely the zero element of Z n , whereas  ...  In using power-sequences in Z n to construct a terrace for Z n+1 , our general approach is to use the power-sequences to produce all elements of Z n \{0}, each such element x always being written so as  ... 
doi:10.1016/j.disc.2006.11.033 fatcat:4luerrwwsvce5nocf77qdf76a4

Crystallography of precipitates in Mg alloys

Zhang-Zhi Shi, Hong-Ting Chen, Ke Zhang, Fu-Zhi Dai, Xue-Feng Liu
2020 Journal of Magnesium and Alloys  
In order to obtain a global understanding of diversified experimental results, a general theory of singular interface is introduced, which provides the physical base and calculation methodology for interpreting  ...  Crystallography of precipitates in Mg alloys is indispensable to explain and predict alloy microstructures and properties.  ...  Acknowledgement Financially supported by the Fundamental Research Funds for the Central Universities (Project FRF-TP-19-022A3Z ) and National Natural Science Foundation of China (Project 51771022 ).  ... 
doi:10.1016/j.jma.2020.06.013 fatcat:nhciee4bnze7vgohwkx43v7lre

Evaluation of soil contamination by heavy metals in the zone of TPP influence

2019 Geology Geography Ecology  
The soils of the Siverskyi Donets Basin retain Cu, Zn and Pb ions to a large extent. Scientific novelty.  ...  Soil compounds, binding heavy metal ions (НM) for a long time, prevent their migration.  ...  In the general case η of electric filters changes from 95 % to 99 % and for Venturi scrubbersfrom 70 % to 99 %.  ... 
doi:10.26565/2410-7360-2019-51-18 fatcat:2mdxcdv7b5bn3mlvxsjcvgftru

The Gediz River fluvial archive: A benchmark for Quaternary research in Western Anatolia

D. Maddy, A. Veldkamp, T. Demir, W. van Gorp, J.R. Wijbrans, D.J.J. van Hinsbergen, M.J. Dekkers, D. Schreve, J.M. Schoorl, R. Scaife, C. Stemerdink, T. van der Schriek (+2 others)
2017 Quaternary Science Reviews  
This volcanism, which is associated with GT6, confirms a pre-MIS42 age for terraces GT11-GT7.  ...  These younger terraces more likely reflect a localized terracing process triggered by base level changes forced by volcanic eruption and associated reactivation of pre-existing faults, lava dam construction  ...  We would also like to acknowledge the help and support of Dr. Erdal Gümüş, general coordinator of the UNESCO recognised Kula Geopark, the first Geopark in Turkey. Page 30 of 61  ... 
doi:10.1016/j.quascirev.2016.07.031 fatcat:bvbqrimrtbcu7dnrijxhhvh37a

The earliest securely-dated hominin artefact in Anatolia?

D. Maddy, D. Schreve, T. Demir, A. Veldkamp, J.R. Wijbrans, W. van Gorp, D.J.J. van Hinsbergen, M.J. Dekkers, R. Scaife, J.M. Schoorl, C. Stemerdink, T. van der Schriek
2015 Quaternary Science Reviews  
This previously documented buried river terrace sequence provides a clear stratigraphical context for the find and affords opportunities for independent age estimation using the numerous basaltic lava  ...  New 40 Ar/ 39 Ar age estimates from these flows are reported here which, together with palaeomagnetic measurements, allow a tightly-constrained chronology for the artefact-bearing sediments to be established  ...  Acknowledgements This work was supported by the British Institute at Ankara and contributes directly to their Climate Change strategic research initiative.  ... 
doi:10.1016/j.quascirev.2014.11.021 fatcat:copjwlpbivey3abujalelvl4zm

Sub-surface alloying largely influences graphene nucleation and growth over transition metal substrates

Liying Zhang, Xingju Zhao, Xinlian Xue, Jinlei Shi, Chong Li, Xiaoyan Ren, Chunyao Niu, Yu Jia, Zhengxiao Guo, Shunfang Li
2015 Physical Chemistry, Chemical Physics - PCCP  
Sub-surface alloying (SSA) can be an effective approach to tuning surface functionalities.  ...  Zhenyu Zhang for helpful discussions. This work was supported by the NSFC  ...  In our calculations, we first take Rh(111) as a prototypical host substrate and then construct some SSA systems.  ... 
doi:10.1039/c5cp03820k pmid:26257125 fatcat:waszoqapfzfedbzokvetgw6dvm

A PXRF-based chemostratigraphy and provenience system for the Cooper's Ferry site, Idaho

Loren G. Davis, Shane J. Macfarlan, Celeste N. Henrickson
2012 Journal of Archaeological Science  
the elemental geochemistry of sediments associated with artifacts and other samples back to a master lithostratigraphic sequence.  ...  Although micro-contextual approaches can provide invaluable perspectives, ascribing primary depositional status and associative context has traditionally been a qualitative exercise.  ...  We are grateful to our two anonymous reviewers who provided a number of helpful comments and suggestions.  ... 
doi:10.1016/j.jas.2011.10.029 fatcat:tuw7xgwpxfcknbdjsvosgtrneu


Björn Hjulström, Sven Isaksson, Christina Karlsson
2008 Acta Archaeologica  
It was not possible to date the post from the dendrochronological sequence, but three annual rings with known intervals were sent for 14C analysis (see Table 1 ).  ...  Fe and Zn are abundant in meat and Mn is abundant in cereals, hence these elements can be seen as general indicators of food. All of them are elevated in area 3.  ... 
doi:10.1111/j.1600-0390.2008.00109.x fatcat:li23rmhbejbmpdw62mkgtlppvu

Predicting crystal growth via a unified kinetic three-dimensional partition model

Michael W. Anderson, James T. Gebbie-Rayet, Adam R. Hill, Nani Farida, Martin P. Attfield, Pablo Cubillas, Vladislav A. Blatov, Davide M. Proserpio, Duncan Akporiaye, Bjørnar Arstad, Julian D. Gale
2017 Nature  
Here we describe a new approach to understand and, in theory, predict the growth of crystals, including the incorporation of defect structures, by simultaneous molecular-scale simulation of crystal habit  ...  We exemplify our approach by predicting the crystal growth of a diverse set of crystal types including zeolites, metal-organic frameworks, calcite, urea and L-cystine.  ...  This is a good example of a multicomponent crystal and demonstrates the power of this approach to this important general class of materials.  ... 
doi:10.1038/nature21684 pmid:28371799 fatcat:bvaebbmpsfdb5eze35zl5awch4

Influence of polarity and hydroxyl termination on the band bending at ZnO surfaces

R. Heinhold, G. T. Williams, S. P. Cooil, D. A. Evans, M. W. Allen
2013 Physical Review B  
A metallic to semiconductorlike transition in the electronic nature of the O-polar face was observed at an H coverage of approximately 0.9 monolayers.  ...  For H coverage less than this, semiconducting (depleted) O-polar surfaces were created that were reasonably stable in UHV conditions.  ...  The results from Figs. 6 and 7 were used to construct plots of real-time BE shift versus temperature for both the Zn-polar and O-polar face (see Fig. 8 ).  ... 
doi:10.1103/physrevb.88.235315 fatcat:ccxiktlvt5btrjjb6nxleeyrvy

Atomic resolution non-contact atomic force microscopy of clean metal oxide surfaces

J V Lauritsen, M Reichling
2010 Journal of Physics: Condensed Matter  
its ultimately sensitive implementation, namely dynamic scanning force microscopy (SFM) operated in the so-called non-contact mode (NC-AFM), this technique yields genuine atomic resolution and offers a  ...  In the last two decades the atomic force microscope (AFM) has become the premier tool for topographical analysis of surface structures at the nanometre scale.  ...  Creating a planar surface after sputtering often requires temperatures in excess of 800 • C, sometimes even approaching 1400 • C, which has to be kept in mind when constructing a sample holder to support  ... 
doi:10.1088/0953-8984/22/26/263001 pmid:21386455 fatcat:dvbtdka2fnbl7knc4hlf37ebge

Towards precise defect control in layered oxide structures by using oxide molecular beam epitaxy

Federico Baiutti, Georg Christiani, Gennady Logvenov
2014 Beilstein Journal of Nanotechnology  
present status, providing some examples that demonstrate its successful application in the synthesis of different layered oxides, with particular reference to superconducting La 2 CuO 4 and insulator-to-metal  ...  In this paper we present the atomic-layer-by-layer oxide molecular beam epitaxy (ALL-oxide MBE) which has been recently installed in the Max-Planck Institute for Solid State Research and we report on its  ...  Gregori for the insightful and continuous discussions.  ... 
doi:10.3762/bjnano.5.70 pmid:24995148 pmcid:PMC4079053 fatcat:f4fbg2g4cfggxosj3ltgbj6ydm
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