cometadata/test-preprints-extracted-funding huggingface dataset:
Acknowledgements. This work was partially supported by NSFC Grants (11971223, 11501033), Fundamental Research Funds for the Central Universities (14380018), and Zheng Gang Scholars Program. Part of this work was completed while the author was a visitor of Yau Mathematical Sciences Center at Tsinghua University; he thanks the institution for the hospitality. He would like to thank Tasho Kaletha and Cheng-Chiang Tsai for kindly answering several questions, and thank Jeffrey Hakim for communicating his recent work and helpful discussions. He also thanks the anonymous referees for pointing out several mathematical inaccuracies and many helpful suggestions to improve the paper.
1 Partially supported by the Spanish Ministerio de Econom´ ıa y CompetitividadFondo Europeo de Desarrollo Regional (FEDER) MTM2013-45588-C3-2-P, and by the Diputacion General de Aragon-Fondo Social Europeo (Grupo de Investigacion de ´ Algebra). 2 Partially supported by the Spanish Ministerio de Econom´ ıa y Competitividad-Fondo Europeo de Desarrollo Regional (FEDER) MTM2013-45588-C3-2-P.
The authors acknowledge with pleasure valuable conversations with Akinori John Nakaema and Aristides Kontogeorgis about the structure of the proof of Proposition 1. This research has been co-financed by the European Union (European Social Fund - ESF) and Greek national funds through the Operational Program 'Education and Lifelong Learning' of the National Strategic Reference Framework (NSRF) - Research Funding Program: THALES: Reinforcement of the interdisciplinary and/or inter-institutional research and innovation, MIS: 380154. L. K. is pleased to thank the Simons Foundation, USA, for partial support for this research under his Collaboration Grant for Mathematicians (2016 - 2021), Grant number 426075.
The authors N.A.; A.O.; V.P.; L.Q. and A.T. are partially supported by H.C. Ørsted COFUND Post-doc Fellowship from the project 'Algebraic curves with many rational points'; Federal Ministry of Education and Science, grant No.05-39-3663-1/14; an EPSRC studentship; CNPq, PDE grant number 200434/2015-2 and TUB ˙ ITAK project number 114F432, respectively.
We would like to thank the entire RELEASE project team for technical insights and administrative support. Roberto Aloi and Enrique Fernandez Casado contributed to the development and measurement of WombatOAM. This work has been supported by the European Union grant RII3-CT-2005-026133 'SCIEnce: Symbolic Computing Infrastructure in Europe', IST-2011287510 'RELEASE: A High-Level Paradigm for Reliable Large-scale Server Software', and by the UK's Engineering and Physical Sciences Research Council grant EP/G055181/1 'HPCGAP: High Performance Computational Algebra and Discrete Mathematics'.
ated too. This random generation is supported by the QuickCheck property-based testing system [24, 9].
Research of the first author was supported by an URB grant and a long-term faculty development grant both from the American University of Beirut.
Research of the second author was supported by an URB grant from the American University of Beirut and by the Center for Advanced Mathematical Sciences.
Research of the third author was supported by the Austrian Science Fund FWF, project AI1776 and the Qatar National Research Fund, NPRP 7-511-1-098.
‡ Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK (trefethen@maths.ox.ac.uk). SF and LNT were supported by the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013)/ERC grant agreement 291068. The views expressed in this article are not those of the ERC or the European Commission, and the European Union is not liable for any use that may be made of the information contained here. YN was supported by Japan Society for the Promotion of Science as an Overseas Research Fellow.
Acknowledgement This material is based upon work supported in part by the National Science Foundation grants DMS 1620058, DMS 1619892, by the Air Force Office of Scientific Research, USAF, under grant/contract number FA99550-12-0358 and the Army Research Office, under grant number W911NF-151-0517. This work was done when the authors were visiting the Institut Henri Poincare during the Fall 2016 Thematic Trimester 'Numerical Methods for Partial Differential Equations'. The support of IHP is gratefully acknowledged.
This work is partially supported by 'Città educante' (CTN01_00034_393801) of the National Technological Cluster on Smart Communities (cofunded by the Italian Ministry of Education, University and Research - MIUR) and by the project 'JUMP Una piattaforma sensoristica avanzata per rinnovare la pratica e la fruizione dello sport, del benessere, della riabilitazione e del gioco educativo', funded by the Emilia-Romagna region within the POR-FESR 2014-2020 program. We acknowledge the CINECA award under the ISCRA initiative, for the availability of high performance computing resources and support. We also gratefully acknowledge the support of NVIDIA Corporation with the donation of the GPUs used for this research. Author's addresses: M. Cornia and L. Baraldi and R. Cucchiara, Department of Engineering 'Enzo Ferrari', University of Modena and Reggio Emilia, Modena, Italy; G. Serra is with the Department of Computer Science, Mathematics and Physics, University of Udine, Udine, Italy.
Lie Fu is supported by the Agence Nationale de la Recherche through ECOVA (ANR-15- CE40-0002), HodgeFun (ANR-16-CE40-0011), LABEX MILYON(ANR-10-LABX-0070) of Universite de Lyon, within the program Investissements d'Avenir (ANR-11-IDEX-0007), and Projet Inter-Laboratoire 2017 by Federation de Recherche en Mathematiques Rhˆ oneAlpes / Auvergne CNRS 3490.
The authors thank Andrina Nicola, Aseem Paranjape, Joel Akeret, Oliver Hahn, Sharvari Narkarni-Ghosh and Caroline Bertemes for useful discussions , and Julien Lesgourgues for useful comments and providing CLASS high precision settings for the newtonian gauge. LH thanks financial support from Dr. Max Rösller, the Walter Haefner Foundation and the ETH Zurich Foundation.
Vorrapan Chandee would like to acknowledge the financial support from the Thailand Research Fund (TRF) under the contract number TRG5880076. She also would like to thank Kannan Soundararajan and Vichian Laohakosol for helping with TRF grant document. Part of this work was done while she was in residence at the Mathematical Sciences Research Institute (MSRI) in Berkeley, California, during the Spring semester of year 2017, supported in part by the National Science Foundation (NSF) under Grant No. DMS-1440140.
Acknowledgements. I would like to thank my PhD supervisor Prof. Harish K. Pillai for helpful discussions on the subject of this paper. I am grateful to Prof. J.W. Helton and Prof. Cynthia Vinzant for useful suggestions to express the ideas of this paper properly. I would like to thank Dr. Justin Chen for helping me to implement these methods in Macaulay2 . Much of the work on this paper has been supported by Council of
Scientific and Industrial Research (CSIR), India while the author was doing her doctoral work in IIT Bombay. The author also gratefully acknowledges support through the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany and the Institute for Computational and Experimental Research in Mathematics, Brown University, USA.
We are grateful to the anonymous reviewers for their helpful and inspiring comments and suggestions which have improved this paper. Nina Munkholt Jakobsen was supported by the Danish Council for Independent Research - Natural Science, through a grant to Susanne Ditlevsen. Michael Sørensen was supported by the Center for Research in Econometric Analysis of Time Series funded by the Danish National Research Foundation. The research is part of the Dynamical Systems Interdisciplinary Network funded by the University of Copenhagen Programme of Excellence.
§ Research partly supported by Villum Fonden.
¶ Research partly supported by the Starting Grant 7027-00050B from the Independent Research Fund Denmark under the Sapere Aude research career programme.
† Research partly supported by Advanced Grant DFF-0602-02499B from the Danish Council for Independent Research.
‡ Supported in part by the Simons Foundation, ISF grant No. (1817/17), and by BSF grant No. 2015813. The research was done while the author was affiliated with Ben-Gurion University of the Negev, and Columbia University.
∗ Research partly supported by Innovationsfonden DK, DABAI (5153-00004A) and by VILLUM Foundation grant 16582, Basic Algorithms Research Copenhagen (BARC).
We want to thank Dr. Almut Heinken for classifying the treatment metabolites and giving useful comments on the analysis of the results. We also want to thank Mr. Marouen Ben Guebilla, Mr. Alberto Noronha, and Mr. Federico Baldini for giving useful comments on the manuscript. This work was supported by an ATTRACT program grant (FNR/A12/01), and an Aides a la FormationRecherche (FNR/6783162) grant.
Acknowledgements. The authors are deeply grateful to Alexei Borodin, Vadim Gorin and Alice Guionnet for very helpful discussions. For the second author the financial support was partially available through NSF grant DMS:1704186 and the project started when the second author was still a PhD student at Massachusetts Institute of Technology. We also want to thank the hospitality of PCMI during the summer of 2017 supported by NSF grant DMS:1441467.
This work has been supported by the National Science Foundation Grants CHE-0956127, CHE-1465125, and the Welch Foundation Grant E-1765. We gratefully acknowledge the use of the Maxwell/Opuntia Cluster and the untiring support from the Center for Advanced Computing and Data Systems at the University of Houston. Partial support for this work was provided by resources of the uHPC cluster managed by the University of Houston and acquired through NSF Award Number ACI-1531814.
The first author is supported by NSF Grant 1362425 and research funds from the Dean of the College of Arts &amp; Sciences, the University of Alabama.
The second author acknowledges support through the special research program Taming complexity in partial differential systems funded by the Austrian Science Fund (FWF) under grant F65 and of the Vienna Science and Technology Fund (WWTF) through the research project Thermally controlled magnetization dynamics (grant MA14-44).
The work is supported by the National Natural Science Foundation of China (Grant No. 61502393), the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2017JM6066), the Fundamental Research Funds for the Central Universities (Grant No. 3102017zy031), and the National Science Foundation under grants CNS-1413998, CNS-1617437, CNS-1618339 and CNS-1617729. The work by John C.S. Lui is supported in part by the GRF 14200117.
Acknowledgements The author thankfully acknowledges Peter Jørgensen for the exchanges that lead to the work in this paper. He also is grateful to Kiyoshi Igusa, Hongwei Niu and Sibylle Schroll for the useful discussions. He does not want to forget the valuable comments of Bernhard Keller and the anonymous referee on a previous version of the paper that lead to great improvement of this article. This project was supported by the EPSRC founded project EP/P016294/1.
This work is supported by the National Natural Science Foundation of China (grant No. 51661135024) and Ministry of Science and Technology of China (grant No. 2017YFA0303303). Y.X. acknowledges support from Tsinghua University Initiative Scientific Research Program and the National Thousand-Young-Talents Program. S.-C. Z. is supported by the U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Contract No. DE-AC02-76SF00515.
This study was supported by nonprofit organizations and public bodies for funding of scientific research conducted in France and within the European Union: ' Centre National de la Recherche Scientifique ', ' Université de Lille 2 ', ' Institut Pasteur de Lille ', ' Société Francophone du Diabète ', ' Contrat de Plan Etat-Région ', ' Agence Nationale de la Recherche ', ANR-10-LABX-46, ANR EQUIPEX Ligan MP: ANR-10-EQPX-07-01, European Research Council GEPIDIAB - 294785. We are grateful to Ms Estelle Leborgne for helping in the illustrations of the manuscript.
This material is based upon work supported by the National Science Foundation under Grants No. CNS-1423163 and CNS-1722743. In addition, this work has been supported by the European Commission through KU Leuven BOF OT/13/070 and H2020-DS-2014653497 PANORAMIX. Juarez is supported by a PhD fellowship of the Fund for Scientific Research - Flanders (FWO).
- G. Hu would like to thank J. Elschner for private discussions on the proof of Lemma 3.1. The work of G. Hu is supported by the NSFC grant (No. 11671028), NSAF grant (No. U1530401) and the 1000-Talent Program of Young Scientists in China. The work of L. Li and J. Yang are partially supported by the National Science Foundation of China (61421062, 61520106004) and Microsoft Research of Asia.
This work was supported by Engineering and Physical Sciences Research Council award EP/N021096/1. We would also like to thank Gemma Cupples (University of Birmingham) for helpful comments on the manuscript and template files in the code repository, and Marco Polin (University of Warwick), Hermes Gadˆ elha (University of York), Eamonn Gaffney and Kenta Ishimoto (University of Oxford), and Hao Wu (University of Minnesota) for helpful discussions.
I would like to thank the anonymous referee for careful reading of my manuscript and helpful comments. I would like to thank Professor Verbitsky for kind comments regarding his article [36]. Also I would like to thank Yuguo Qin for further discussions about this work. This work is supported by Nature Science Foundation of China No. 11801539 and Postdoctoral Science Foundation of China No. 2017M621998, No. 2018T110616.
GB and RS were supported by research grants NSF MCB1330728 and NIH P01GM5587614A1. TJ was supported by an NIH 5T32GM112596-03. JH acknowledges funding from the French Agence Nationale de la Recherche through LABEX DYNAMO (ANR-11-LABX0011). This project was supported with computational resources from the National Science Foundation XSEDE program through allocation NSF-MCB110149 as well as a local cluster funded by nsf-dbi1126052.
This project began at the Women in Noncommutative Algebra and Representation Theory (WINART) Workshop at Banff International Research Station (BIRS) in March 2016. We thank BIRS for providing a very productive work environment. Kanstrup gratefully acknowledges the support of the Max Planck Institute for Mathematics, Bonn. Kirkman was partially supported by Simons Foundation grant 208314, Shepler by Simons Foundation grant 429539, and Witherspoon by NSF grants DMS-1401016 and DMS-1665286.
Acknowledgment. M. V. de Hoop gratefully acknowledges support from the Simons Foundation under the MATH + X program, the National Science Foundation under grant DMS-1559587, and the corporate members of the Geo-Mathematical Group at Rice University. G. Nakamura acknowledges the supports from Grant-inAid for Scientific Research (15K21766 and 15H05740) of the Japan Society for the Promotion of Science (JSPS).
A.A., A.S. and U.S. acknowledge support from the Adolphe Merkle Foundation. C.N. acknowledges funding from the University of Sydney and the Australian Research Council. AA has received funding from the European Union's Seventh Framework Programme for research, technological development and demonstration under grant agreement no 291771. RD acknowledges the EPSRC EP/G060649/1for funding. Part of the work was conducted at beam line D1 at the Cornell High Energy Synchrotron Source (CHESS), CHESS is supported by the NSF &amp; NIH/NIGMS via NSF award DMR-1332208. We thank D. Smilgies, X. Sheng and J. Dolan for their help during the D1 experiment at CHESS. The NMR spectrometers in the Mark Wainwright Analytical Centre, UNSW, were supported by Australian ARC LIEF grants (LE0989541 for solids &amp; LE120100027 for solutions), and access is gratefully acknowledged.
Acknowledgements: M.I. was funded by the LabEx IRMIA, and partially supported by the Agence Nationale de la Recherche project GeRaSic (ANR-13-BS01-0007-01). M.S. was supported by a public grant as part of the Investissement d'avenir project, reference ANR-11-LABX-0056-LMH, LabEx LMH.
The authors are grateful to Antonio Cuevas for drawing their attention to the home range estimation problem and for some insightful discussions. The research on the Mongolian wolves data was conducted within the framework of the Przewalskii's horse reintroduction project of the International Takhi Group (ITG), in cooperation with the Mongolian Ministry of Nature and Environment, the National University in Ulaanbaatar, Mongolia and the Great Gobi B Strictly Protected Area Administration. Field work would not have been possible without the help of park director O. Ganbataar, former park director Suchebaatar, the rangers Batsuuri, Chinbat, Huder, Nisekhhuu, Enkhbaatar, Nyambayar and their families, nor without the help and support of the local people from Tachin Tal. Funding for the research on the wolves data was provided by the Austrian Science Foundation (FWF) project P14992 and the Austrian National Bank (Jubil¨ aums Fonds) through the Zoo Salzburg (Research for Conservation).
The work presented in this paper forms part of G.S.'s PhD thesis, undertaken at the Cambridge Centre for Analysis at the University of Cambridge, and supported by the UK Engineering and Physical Sciences Research Council (EPSRC) grant EP/H023348/1 for the University of Cambridge Centre for Doctoral Training, the Cambridge Centre for Analysis, whose support G.S. gratefully acknowledges.
This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme, grant agreement No 757254 (SINGULARITY). F. R. also acknowledges the support from an EPSRC Research Fellowship on Singularities in Nonlinear PDEs (EP/L018934/1).
Barton Zwiebach would like to thank Larry Guth and Yevgeny Liokumovich for many instructive discussions on systolic geometry and on the challenges of proving existence of solutions. The work of M.H is supported by the National Science Foundation through Career Award No. PHY-1053842, by the U.S. Department of Energy under grant DE-SC0009987, and by the Simons Foundation through a Simons Fellowship in Theoretical Physics. The work of B.Z. is supported by the U.S. Department of Energy under grant Contract Number DE-SC0012567. M.H. would also like to thank MIT's Center for Theoretical Physics for hospitality and a stimulating research environment during his sabbatical year.
This work was supported by National Key R&amp;D Program of China No.2017YFA0303400 and 2017YFB0405700. This work was supported also by the NSFC Grant No. 11474272, and 61774144. The Project was sponsored by Chinese Academy of Sciences, grant No. QYZDY-SSW-JSC020, XDPB0603, XDPB0802 and K. C. Wong Education Foundation as well.
This research was partially supported by the Fundamental Research Funds for the Central Universities (Nos. XDJK2015C107, SWU115008), the Education Teaching Reform Program of Higher Education (No. 2015JY030), the 1000-Plan of Chongqing by Southwest University (No. SWU116007), the National Natural Science Foundation of China (Nos. 61672435, 61702427, 61702426), and the JSPS KAKENHI Grant (No. 15H02705).
A.E.'s research at DTU is funded by the Villum Fonden through the Villum Investigator Project InnoTop. The work of J.C.B. is funded by FEDER EU and Ministerio de Econom´ ıa y Competitividad (Spain) through grant MTM2017-83740-P. J.C.B. acknowledges an interesting discussion on the subject of this paper with Carlos Mora-Corral.
Acknowledgments. Liliana Borcea's research is supported in part by the Air Force Office of Scientific Research under award number FA9550-18-1-0131 and in part by the U.S. Office of Naval Research under award number N00014-17-1-2057. Knut Sølna's research is supported in part by the Air Force Office of Scientific Research under award number FA9550-18-1-0217 and NSF grant 1616954.
We acknowledge support by the Director, Office of Science, Office of Basic Energy Sciences, and by the Division of Chemical Sciences, Geosciences and Biosciences of the US Department of Energy at LBNL under Contract No. DE-AC02-05CH11231, and salary support for M.G and C.S.F from a grant from the Basic Energy Sciences Division of Materials Physics and Engineering at UC Davis, No. DE-SC0014697. This material is also based upon work supported by the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, Applied Mathematics program under contract number DEAC02005CH11231. We
A.K.S. was supported by NSF grants DMS 1500613 and DMS 1801285, R.T. by JSPS Grant-in-Aid for Scientific Research 16H03923 and 16K05098, and K.W. by Grant-in-Aid for Scientific Research 26400053. This paper started from conversations between R.T. and K.W. at the program Commutative algebra and related topics at Okinawa, Japan, supported by MSRI, OIST, and RIMS, Kyoto University. The authors are grateful to these institutes, and to the organizers of the program for providing a very comfortable research atmosphere.
Acknowledgments: We thank Paweglyph[suppress] l Bielewicz, Arthur Kosowsky, Don Page and Robert Wald for discussions. R.P. thanks J.P. Moussouris for financial assistance through a personal endowment. K.A.M. was partially supported by the Polish National Science Centre grant DEC-2017/25/B/ST2/00165, and P. N. was partially supported by the Polish National Science Centre grant DEC-2019/34/H/ST1/00636. We acknowledge the help from the ´ Swierk Computing Centre in the National Centre for Nuclear Research (NCBJ, Otwock, Poland).
§ Boram Park was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning (NRF2018R1C1B6003577). Department of Mathematics, Ajou University, Suwon-si, Gyeonggi-do, Republic of Korea. E-mail: borampark@ajou.ac.kr
‡ Ringi Kim was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT)(NRF-2018R1C1B6003786) Department of Mathematical Sciences, KAIST, Daejeon, Republic of Korea. E-mail: ringikim2@gmail.com
∗ Ilkyoo Choi was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2018R1D1A1B07043049), and also by Hankuk University of Foreign Studies Research Fund. Department of Mathematics, Hankuk University of Foreign Studies, Yongin-si, Gyeonggi-do, Republic of Korea. E-mail: ilkyoo@hufs.ac.kr † Michitaka Furuya was supported by JSPS KAKENHI Grant number JP18K13449. College of Liberal Arts and Sciences, Kitasato University, Sagamihara, Kanagawa 252-0373, Japan. E-mail: michitaka.furuya@gmail.com
† Mathematics Group, Lawrence Berkeley National Laboratory, Berkeley, CA 94720 ( rsaye@lbl.gov ). This research was supported by the Applied Mathematics Program of the U.S. DOE Office of Advanced Scientific Computing Research under contract number DE-AC02-05CH11231. Some computations used resources of the National Energy Research Scientific Computing Center, a DOE Office of Science User Facility supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231.
∗ Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138 ( dfortunato@g.harvard.edu , chr@seas.harvard.edu ). This work is supported by the National Defense Science and Engineering Graduate Fellowship.
This work was sponsored by the National Natural Science Foundation of China under Grant No. 61625502, No. 61574127, No. 61601408, No. 61775193 and No. 11704332, the ZJNSF under Grant No. LY17F010008, the Top-Notch Young Talents Program of China, the Fundamental Research Funds for the Central Universities, and the Innovation Joint Research Center for Cyber-Physical-Society System.