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Incidences of Möbius transformations in 𝔽_p [article]

Audie Warren, James Wheeler
2021 arXiv   pre-print
We develop the methods used by Rudnev and Wheeler to prove an incidence theorem between arbitrary sets of Möbius transformations and point sets in 𝔽_p^2.  ...  We also note some asymmetric incidence results, and give applications of these results to various problems in additive combinatorics and discrete geometry.  ...  Acknowledgements The first author was supported by Austrian Science Fund FWF grant P-34180. We thank Oliver Roche-Newton, Misha Rudnev, and Sophie Stevens for helpful suggestions and conversations.  ... 
arXiv:2107.12286v1 fatcat:3yza4ye37zfulmwsw5wo6eewvm

Controls on Associations of Clay Minerals in Phanerozoic Evaporite Formations: An Overview

Yaroslava Yaremchuk, Sofiya Hryniv, Tadeusz Peryt, Serhiy Vovnyuk, Fanwei Meng
2020 Minerals  
Information on the associations of clay minerals in Upper Proterozoic and Phanerozoic marine evaporite formations suggests that cyclic changes in the (SO4-rich and Ca-rich) chemical type of seawater during  ...  Along with increasing salinity, aggradational transformations of clay minerals lead to the ordering of their structure and, ideally, to a decrease in the number of minerals.  ...  We also thank K. Leszczyński for his helpful suggestions on an early manuscript, and to the journal referees for their comments. Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/min10110974 fatcat:rkrxtp2xf5dbbn5ns4zmtmea2i

Phase transformation and precipitation in aged Ti–Ni–Hf high-temperature shape memory alloys

X.L. Meng, W. Cai, Y.F. Zheng, L.C. Zhao
2006 Materials Science & Engineering: A  
For Ni-rich Ti 80−x Ni x Hf 20 alloys (numbers indicate at.%) the phase transformation temperatures are on average increased by more than 100 K by aging at 823 K for 2 h.  ...  .%, the martensitic transformation start temperatures (M s ) are higher than 473 K after aging. Transmission electron microscopy shows the presence of (Ti + Hf) 3 Ni 4 precipitates after aging.  ...  Acknowledgement This work is supported by National Science Foundation of China (No. 50531020).  ... 
doi:10.1016/j.msea.2006.01.099 fatcat:rtqe7mrz4zcsrdecetnjywwwby

Transformation of Oxide Inclusions in Stainless Steel Containing Yttrium during Isothermal Heating at 1473 K

Zhang, Yang, Li, Wu
2019 Metals  
furnace and the evolution of yttrium-based oxide inclusions during heat treatment of the steels at 1473 K was investigated.  ...  The transformation mechanism during isothermal heating was proposed to be the mutual effects of (i) internal transformation of the yttrium-based inclusions owing to crystallization of glassy oxide and  ...  Lekakh at Missouri University of Science and Technology for his guidance on this work. Conflicts of Interest: The authors declare no conflict of interest. Metals 2019, 9, 961  ... 
doi:10.3390/met9090961 fatcat:qcuxtjo3nzh5blyqlhfn2pjgae

Shape memory effect and superelastic behavior of TiNi shape memory alloy processed by vacuum plasma spray method

Hiroyuki Nakayama, Minoru Taya, Ronald W. Smith, Travis Nelson, Michael Yu, Edwin Rosenzweig
2007 Materials Science & Engineering: A  
The Ti-rich TiNi alloy also exhibited good martensitic transformation behavior and SME in the as-homogenized state. 13 14 15 16 17 18 19  ...  As-VPS processed Ni-rich TiNi which was subjected to homogenization at 1163 K for 7.2 ks and subsequent aging at 773 K for 18 ks exhibited good martensitic transformation behavior.  ...  The strain recovers due to reverse trans-233 formation at 330 K on first heating and deformed again by 234 martensitic transformation at 297 K on cooling.  ... 
doi:10.1016/j.msea.2007.01.053 fatcat:viojgxg7jbfnjbxbzghkqmobua

A Point-Conic Incidence Bound and Applications over 𝔽_p [article]

Ali Mohammadi, Thang Pham, Audie Warren
2022 arXiv   pre-print
These include new lower bounds on the number of pinned algebraic distances as well as improvements of results of Koh and Sun (2014) and Shparlinski (2006) on the size of the distance set formed by two  ...  As applications, we prove new results on expansion of bivariate polynomial images and on certain variations of distinct distances problems.  ...  Acknowledgements Thang Pham would like to thank to the VIASM for the hospitality and for the excellent working condition. Audie Warren was supported by Austrian Science Fund FWF grant P-34180.  ... 
arXiv:2111.04072v2 fatcat:kotc6q5z6rcclok32abuhtwfby

Cyclic ageing of Ti–50.8at.% Ni alloy

Fei Jiang, Li Li, Yufeng Zheng, Hong Yang, Yinong Liu
2008 Intermetallics (Barking)  
This study investigated the effects of cyclic ageing on the transformation behaviour of Tie50.8 at.% Ni by means of differential scanning calorimetric analysis.  ...  This is attributed to the temperature dependence of the phase equilibria between the B2 matrix and Ni-rich precipitates.  ...  Acknowledgement The authors acknowledge the financial support for this study from the Outstanding Youth Fund of Heilongjiang Province (JC200608) and the supply of the NiTi alloys by Jiangyin Fasten-PLT  ... 
doi:10.1016/j.intermet.2007.11.012 fatcat:pss4k6sxdfbijnsmq7rl3lacd4

Nanometer-scale solute clustering in aluminum–nickel–ytterbium metallic glasses

Dieter Isheim, David N. Seidman, John H. Perepezko, Gregory B. Olson
2003 Materials Science & Engineering: A  
Atom-probe analyses reveal the evolution of compositional inhomogeneities on an atomic scale.  ...  Al Á/rich precipitates are detected after heating to 250 8C, with the Ni and Ni Á/Yb clusters still present, constituting possible precursors of intermetallic phases formed during advanced transformation  ...  This research was supported by the Department of Defense through the DARPA initiative under contract number DAAH01-01-C-R009 (D.I., D.N.S., and G.B.O.) and DAAD19-01-1-0486 (J.H.P.).  ... 
doi:10.1016/s0921-5093(02)00674-3 fatcat:atkztxhvkfbaxoomgfa5ydf3xe

Modelling species diversity through species level hierarchical modelling

Alan E. Gelfand, Alexandra M. Schmidt, Shanshan Wu, John A. Silander, Andrew Latimer, Anthony G. Rebelo
2005 Journal of the Royal Statistical Society, Series C: Applied Statistics  
Summing yields the predicted richness of species over the region.  ...  We report on results for 23 species of a flowering plant family known as Proteaceae (of about 330 in the Cape floristic region) for a defined subregion.  ...  Acknowledgements This research was conducted while the second author was a Post-doctoral Researcher in the Department of Statistics of the University of Connecticut.  ... 
doi:10.1111/j.1467-9876.2005.00466.x fatcat:nz5bo72po5avtakbxb6op6hwia

On the Discrepancy Between Kleinberg's Clustering Axioms and k-Means Clustering Algorithm Behavior [article]

Robert Kłopotek, Mieczysław Kłopotek
2017 arXiv   pre-print
While Kleinberg's axioms have been discussed heavily in the past, we concentrate here on the case predominantly relevant for k-means algorithm, that is behavior embedded in Euclidean space.  ...  This paper investigates the validity of Kleinberg's axioms for clustering functions with respect to the quite popular clustering algorithm called k-means.  ...  Acknowledgments The authors wish to thank to the Institute of Computer Science of Polish Academy of Sciences for promoting and financing this research. Research done by Robert A.  ... 
arXiv:1702.04577v2 fatcat:vp6yay4ucnehpidtfvkp5f2xxe

The number of unit-area triangles in the plane: Theme and variations [article]

Orit E. Raz, Micha Sharir
2015 arXiv   pre-print
We also consider two special cases of this problem: (i) We show, using a somewhat subtle construction, that if S consists of points on three lines, the number of unit-area triangles that S spans can be  ...  We show that the number of unit-area triangles determined by a set S of n points in the plane is O(n^20/9), improving the earlier bound O(n^9/4) of Apfelbaum and Sharir [Discrete Comput.  ...  We are grateful to Frank de Zeeuw for several very helpful comments that simplified some parts of the analysis.  ... 
arXiv:1501.00379v2 fatcat:5fdxqfogxzarzhpfiwhrm24tgq

Precipitation kinetics of Ti3Ni4 in polycrystalline Ni-rich TiNi alloys and its relation to abnormal multi-stage transformation behavior

G. Fan, Y. Zhou, W. Chen, S. Yang, X. Ren, K. Otsuka
2006 Materials Science & Engineering: A  
We have found that low Ni-rich polycrystals exhibit three-stage transformation and the number of transformation peaks is independent of aging time; intermediate Ni-rich samples exhibit three-stage transformation  ...  In the present study, we made further experimental effort to critically verify the proposed mechanism by studying the transformation behavior of low Ni-rich polycrystals and intermediate Ni-rich polycrystals  ...  In order to further verify our model on this point, in the 70 present work we studied the transformation behavior of aged 71 intermediate Ni-rich polycrystals by a DSC.  ... 
doi:10.1016/j.msea.2006.02.066 fatcat:3vw35nf2xvgnlgqc3amszcmwaq

Heterformer: A Transformer Architecture for Node Representation Learning on Heterogeneous Text-Rich Networks [article]

Bowen Jin, Yu Zhang, Qi Zhu, Jiawei Han
2022 arXiv   pre-print
to delicately coupling these two types of models on heterogeneous text-rich networks.  ...  Comprehensive experiments on three large-scale datasets from different domains demonstrate the superiority of Heterformer over state-of-the-art baselines in link prediction, transductive/inductive node  ...  The number of clusters 𝐾 is set as the number of classes.  ... 
arXiv:2205.10282v1 fatcat:q3vqdn3nubhvzlpkw45bgesima

Upper and lower bounds for rich lines in grids [article]

Brendan Murphy
2018 arXiv   pre-print
We prove upper and lower bounds for the number of lines in general position that are rich in a Cartesian product point set.  ...  The lower bounds are based on a connection between rich lines in Cartesian product sets and amenability (or expanding families of graphs in the finite field case).  ...  Each line in L a,b is incident to at least N 2b − 1 points of P , and thus is α-rich in P for b ≤ ⌊ 1 3α ⌋. On the other hand, the number of such lines is Θ(α −3 N ). See [32] for details.  ... 
arXiv:1709.10438v2 fatcat:t53pf6y5lrcc3m5zvi7dcbdxb4

Ash transformation during single-pellet gasification of agricultural biomass with focus on potassium and phosphorus

Ali Hedayati, Hamid Sefidari, Christoffer Boman, Nils Skoglund, Norbert Kienzl, Marcus Öhman
2021 Fuel processing technology  
The present work investigates ash transformation reactions and the release of critical ash-forming elements with a special focus on K and P during the single-pellet gasification of different types of agricultural  ...  rich in K-Mg-phosphates for wheat grain residues.  ...  Acknowledgments The financial support from the ERA-NET Bioenergy for the Grate-Advance project (Swedish Energy Agency, Sweden project number 41877-1) and the Swedish Research Council, Sweden, project 2016  ... 
doi:10.1016/j.fuproc.2021.106805 fatcat:kxyf3tt5qjfbhlqoygsopjou34
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