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An Improved Real-Quadratic-Field-Based Key Exchange Procedure

Michael J. Jacobson, Renate Scheidler, Hugh C. Williams
<span title="2005-05-27">2005</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/7jmi32x7o5hfnpkgh2irnuqpim" style="color: black;">Journal of Cryptology</a> </i> &nbsp;
We present an implementation of a Diffie-Hellman type protocol based on real quadratic number field arithmetic that provides a significant improvement in performance over previous versions of this scheme  ...  To date, the only non-group structure that has been suitably employed as the key space for Diffie-Hellman type cryptographic key exchange is the infrastructure of a real quadratic (number or function)  ...  Stein has observed that one can improve the efficiency of key exchange in real quadratic function fields to the point that it is faster than the corresponding protocols in imaginary quadratic function  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00145-005-0357-6">doi:10.1007/s00145-005-0357-6</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/typxp5i7kradtjyrkclyqtflh4">fatcat:typxp5i7kradtjyrkclyqtflh4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20070417221006/http://www.math.ucalgary.ca/~rscheidl/Papers/jcrypt.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/fa/77/fa77f2ba121ee78c9e1a7e610361c4b50ea0fc73.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00145-005-0357-6"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Development of computer–integrated systems for the automation of technological process of associated gas processing

Andrii Stopakevych, Oleksii Stopakevych, Anatolii Tigariev
<span title="2017-06-30">2017</span> <i title="Private Company Technology Center"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/l2suv73qxjf5jk3mi4shll66pm" style="color: black;">Eastern-European Journal of Enterprise Technologies</a> </i> &nbsp;
; -development of an automated TP for processing APG from the fields of low and medium productivity based on the proposed procedure.  ...  Develop two lower-level ACS based on PI (due to the large inertia of the channels) and linear-quadratic regulators.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.15587/1729-4061.2017.99060">doi:10.15587/1729-4061.2017.99060</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/oey2h3lchbclbo35r2d5tiqqb4">fatcat:oey2h3lchbclbo35r2d5tiqqb4</a> </span>
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Cryptographic aspects of real hyperelliptic curves

Michael J. Jacobson, Renate Scheidler, Andreas Stein
<span title="2010-12-01">2010</span> <i title="Walter de Gruyter GmbH"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ndvm4yozfbhtvjxfiowlwtdbty" style="color: black;">Tatra Mountains Mathematical Publications</a> </i> &nbsp;
In this paper, we give an overview of cryptographic applications using real hyperelliptic curves.  ...  We then describe recent improvements to infrastructure arithmetic, including explicit formulas for divisor arithmetic in genus 2, and advances in solving the infrastructure discrete logarithm problem,  ...  The authors are grateful to an anonymous referee's helpful suggestions for improvement of this article.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2478/v10127-010-0030-9">doi:10.2478/v10127-010-0030-9</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2t7ft7jaizd2tkxmx3kwydnghq">fatcat:2t7ft7jaizd2tkxmx3kwydnghq</a> </span>
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Page 3514 of Mathematical Reviews Vol. , Issue 91F [page]

<span title="">1991</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
(D-SAAR-I); Williams, Hugh C. (3-MB-C) A key exchange system based on real quadratic fields (extended abstract).  ...  The authors propose a Diffie-Hellman key exchange system based on the discrete logarithm problem for reduced principal ideals in real quadratic orders with small class numbers (DLP).  ... 
<span class="external-identifiers"> </span>
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Zero-Knowledge Authentication [article]

Jakob Povsic, Andrej Brodnik
<span title="2022-05-12">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The ZKP protocol used is based on the quadratic residuosity problem. The authentication system is defined as a method in the extensible authentication protocol (EAP).  ...  In the thesis we focus on designing an authentication system to authenticate users over a network with a username and a password.  ...  However, in a real-world application, the performance improvements might justify the theoretical shortcomings.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2205.05847v1">arXiv:2205.05847v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7fqu3nusczcgbf2xkwljkohdim">fatcat:7fqu3nusczcgbf2xkwljkohdim</a> </span>
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Extracting the hysteresis loops of magnetic interfaces from optical second-harmonic intensity measurements

J F McGilp, L Carroll, K Fleischer
<span title="2007-09-03">2007</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/yojdv2w2kvbhpfrlimnuijuoza" style="color: black;">Journal of Physics: Condensed Matter</a> </i> &nbsp;
These procedures correct for the quadratic response, allowing experimental geometries to be chosen that maximize the magnetic contribution, thus improving the signal-to-noise ratio and the sensitivity  ...  The first is applicable to all magnetic interfaces, including exchange-biased structures, where the saturation magnetization for positive and negative magnetic fields is equal and opposite.  ...  key field parameters determined from it.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/0953-8984/19/39/396002">doi:10.1088/0953-8984/19/39/396002</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6vfkxg7p3vf3lmbddr536vxeqe">fatcat:6vfkxg7p3vf3lmbddr536vxeqe</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180723001029/http://www.tara.tcd.ie/bitstream/handle/2262/41121/mcgilp07b.pdf;jsessionid=25C7FAD57A0F6E6A0A118B034CADA877?sequence=1" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/11/9b/119b86516088c1b8bfab34f98689657b6158e4f8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/0953-8984/19/39/396002"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> iop.org </button> </a>

Editorial

<span title="2015-06-09">2015</span> <i title="IOS Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lm7wouyrqzbgvenkjxkrtwootu" style="color: black;">Intelligent Data Analysis</a> </i> &nbsp;
The topic is particularly discussed in the domain of kernel based methods and SVM learning algorithms. The proposed approach is evaluated using a number of synthetic and real-world data sets.  ...  This approach requires specifying two key parameters which are symbolic length and the alphabet size. However proper selection of these parameters is a key issue in the performance of the approach.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3233/ida-150726">doi:10.3233/ida-150726</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ydwsfst2mjdldm6x2wk3cdg2bi">fatcat:ydwsfst2mjdldm6x2wk3cdg2bi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180722211524/https://content.iospress.com/download/intelligent-data-analysis/ida726?id=intelligent-data-analysis%2Fida726" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9c/c1/9cc177197e9affacc5b32a475b4557bcb2e9094e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3233/ida-150726"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Grasp: An Annotated Bibliography [chapter]

Paola Festa, Mauricio G.C. Resende
<span title="">2002</span> <i title="Springer US"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/egkicoypqjb2jfdqty5fs5gvk4" style="color: black;">Operations Research/Computer Science Interfaces Series</a> </i> &nbsp;
This paper is an annotated bibliography of the GRASP literature from 1989 to 1999.  ...  A greedy randomized adaptive search procedure (GRASP) is a metaheuristic for combinatorial optimization.  ...  The local search procedure of the GRASP algorithm is based on the 2-exchange. . J. Xu and S. Chiu. Solving a real-world field technician scheduling problem.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-1-4615-1507-4_15">doi:10.1007/978-1-4615-1507-4_15</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kvaokik4m5a2bezgzzcfaqjbui">fatcat:kvaokik4m5a2bezgzzcfaqjbui</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20051030084302/http://www.research.att.com:80/resources/trs/TRs/00/00.1/00.1.1.body.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e6/31/e63166830156583cf2d87bdf58efac14855cbfa6.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-1-4615-1507-4_15"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

An annotated bibliography of GRASP-Part II: Applications

Paola Festa, Mauricio G. C. Resende
<span title="">2009</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2vyq3vorabczbc57sgxyrmy42y" style="color: black;">International Transactions in Operational Research</a> </i> &nbsp;
A greedy randomized adaptive search procedure (GRASP) is a metaheuristic for combinatorial optimization.  ...  This is the second of two papers with an annotated bibliography of the GRASP literature from 1989 to 2008. In the companion paper, algorithmic aspects of GRASP are surveyed.  ...  The local search uses 2-exchange, insertion exchange, and a combination of the two. J. Xu and S. Chiu. Solving a real-world field technician scheduling problem.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1111/j.1475-3995.2009.00664.x">doi:10.1111/j.1475-3995.2009.00664.x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wdqwc6xvcnfq3fi5ujy6jy5wtm">fatcat:wdqwc6xvcnfq3fi5ujy6jy5wtm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809132636/http://www.optimization-online.org/DB_FILE//2008/06/2012.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/bc/70/bc7055b74e1d86f9e01a44adb974676bdf6d8a0e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1111/j.1475-3995.2009.00664.x"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Cryptographic protocols on real hyperelliptic curves

A. Stein, R. Scheidler, M. Jacobson
<span title="">2007</span> <i title="American Institute of Mathematical Sciences (AIMS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jbbcig2iqnbuvngg7spzuoozwu" style="color: black;">Advances in Mathematics of Communications</a> </i> &nbsp;
We present public-key cryptographic protocols for key exchange, digital signatures, and encryption whose security is based on the presumed intractability of solving the principal ideal problem, or equivalently  ...  Key words and phrases: Discrete logarithm based cryptography, real hyperelliptic curve, reduced divisor, infrastructure and distance, efficient implementation.  ...  Finally, it would be very interesting to see how the ideas of our improvements can be applied to real quadratic number fields.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3934/amc.2007.1.197">doi:10.3934/amc.2007.1.197</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/njwlkremovhipafbuet436wvqe">fatcat:njwlkremovhipafbuet436wvqe</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170810082918/http://people.ucalgary.ca/~rscheidl/Papers/pdfs.jsp.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c5/ed/c5ed956fe291b55d64e84d1ce6adee7f56da09d1.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3934/amc.2007.1.197"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Image encryption scheme in public key cryptography based on cubic pells quadratic case

Raghunandan K. R., Ganesh Aithal, Surendra Shetty, Bhavya K.
<span title="2020-10-01">2020</span> <i title="Institute of Advanced Engineering and Science"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/trvfti3jm5hnxhei7rl7owpcqq" style="color: black;">Indonesian Journal of Electrical Engineering and Computer Science</a> </i> &nbsp;
Using Cubic Pell's equation defined in Quadratic Case, a secure public key technique for Key generation process is showcased.  ...  The paper highlights that a key generation time of proposed scheme using Pell's Quadratic case equation is fast compared to existing methods.The strength and quality of the proposed method is proved and  ...  Farah, M.A.B et.al. proposed an optimization technique using hybrid chaotic map to improve the performance of encryption function based on diffusion and confusion properties [23] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.11591/ijeecs.v20.i1.pp385-394">doi:10.11591/ijeecs.v20.i1.pp385-394</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/q5ksoxvuvnhlnbcxa3jiu6osla">fatcat:q5ksoxvuvnhlnbcxa3jiu6osla</a> </span>
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Factoring pq 2 with Quadratic Forms: Nice Cryptanalyses [chapter]

Guilhem Castagnos, Antoine Joux, Fabien Laguillaumie, Phong Q. Nguyen
<span title="">2009</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
cryptosystems based on quadratic fields introduced in the late 90s.  ...  Such cryptosystems come in two flavours, depending on whether the quadratic field is imaginary or real.  ...  , Takagi's fast RSA variants [Tak98] , and the large family (surveyed in [BTV04] ) of cryptosystems based on quadratic fields, which was initiated by Buchmann and Williams' key exchange [BW88] , and  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-10366-7_28">doi:10.1007/978-3-642-10366-7_28</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/k4wxn3p46rdxxou3lolj2a4ihm">fatcat:k4wxn3p46rdxxou3lolj2a4ihm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190228115648/http://pdfs.semanticscholar.org/919c/e1746279302ffdeb3d588b15d9e3b6ceeb5e.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/91/9c/919ce1746279302ffdeb3d588b15d9e3b6ceeb5e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-10366-7_28"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Parallel hybrid chicken swarm optimization for solving the quadratic assignment problem

Soukaina Cherif Bourki Semlali, Mohammed Essaid Riffi, Fayçal Chebihi
<span title="2019-06-01">2019</span> <i title="Institute of Advanced Engineering and Science"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/sdt65w3c4jeojd2d4wr6rbkebe" style="color: black;">International Journal of Electrical and Computer Engineering (IJECE)</a> </i> &nbsp;
<p>In this research, we intend to suggest a new method based on a parallel hybrid chicken swarm optimization (PHCSO) by integrating the constructive procedure of GRASP and an effective modified version  ...  Furthermore, the proposed contribution looks at providing an optimal trade-off between the two key components of bio-inspired metaheuristics: local intensification and global diversification, which affect  ...  INTRODUCTION Combinatorial optimization problems are an substantial paradigm [1] and an important challenge, a lot of algorithm has been applied in several fields of real life such as engineering and  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.11591/ijece.v9i3.pp2064-2074">doi:10.11591/ijece.v9i3.pp2064-2074</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pbobb7og4ng4lmuyepbmr4fqou">fatcat:pbobb7og4ng4lmuyepbmr4fqou</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210428024037/http://www.iaescore.com/journals/index.php/IJECE/article/download/14809/12176" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c4/4a/c44a28c24b1f8951f7886d4c8b79942b802567c0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.11591/ijece.v9i3.pp2064-2074"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Infrastructure: Structure Inside the Class Group of a Real Quadratic Field

Michael J. Jacobson, R. Scheidler
<span title="2014-01-01">2014</span> <i title="American Mathematical Society (AMS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/o5hwtvfzwza2tdpaa2xm3sqpqe" style="color: black;">Notices of the American Mathematical Society</a> </i> &nbsp;
Acknowledgment The authors thank Sarah Chisholm, Monireh Rezai Rad and Peter Zvengrowski for their careful proofreading and suggestions for improvement of this article.  ...  Beyond Infrastructure in Real Quadratic Fields While the ideal class group of an imaginary quadratic field is a very large finite abelian group, its counterpart in real quadratic fields tends to be a rather  ...  The closest analogue to real quadratic number fields is real quadratic (or hyperelliptic) function fields.  ... 
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A Blockchain-based Traceable IP Copyright Protection Algorithm

Lijun Xiao, Weihong Huang, Yong Xie, Weidong Xiao, Kuan-Ching Li
<span title="">2020</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/q7qi7j4ckfac7ehf3mjbso4hne" style="color: black;">IEEE Access</a> </i> &nbsp;
In this work, a blockchain-based IP copyright protection algorithm is proposed to address these issues by establishing a mathematical model of quadratic matrix transformation for IP circuit trading.  ...  Internet-of-Things (IoT) is widely used in diverse fields nowadays and has higher requirements for data exchange. Huang et al.  ...  The quadratic transformation model is used to enhance the security of real positions. Therefore, a quadratic f (X ) = X T DX can be constructed.  ... 
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