COMPUTATIONAL BUSINESS ANALYTICS K14110_FM.indd 11/19/13 6:40 PM Chapman & Hall/CRC Data Mining and Knowledge Discovery Series SERIES EDITOR Vipin Kumar University of Minnesota Department of Computer Science and Engineering Minneapolis, Minnesota, U.S.A AIMS AND SCOPE This series aims to capture new developments and applications in data mining and knowledge discovery, while summarizing the computational tools and techniques useful in data analysis This series encourages the integration of mathematical, statistical, and computational methods and techniques through the publication of a broad range of textbooks, reference works, and handbooks The inclusion of concrete examples and applications is highly encouraged The scope of the series includes, but is not limited to, titles in the areas of data mining and knowledge discovery methods and applications, modeling, algorithms, theory and foundations, data and knowledge visualization, data mining systems and tools, and privacy and security issues PUBLISHED TITLES ADVANCES IN MACHINE LEARNING AND DATA MINING FOR ASTRONOMY Michael J Way, Jeffrey D Scargle, Kamal M Ali, and Ashok N Srivastava BIOLOGICAL DATA MINING Jake Y Chen and Stefano Lonardi COMPUTATIONAL BUSINESS ANALYTICS Subrata Das COMPUTATIONAL INTELLIGENT DATA ANALYSIS FOR SUSTAINABLE DEVELOPMENT Ting Yu, Nitesh V Chawla, and Simeon Simoff COMPUTATIONAL METHODS OF FEATURE SELECTION Huan Liu and Hiroshi Motoda CONSTRAINED CLUSTERING: ADVANCES IN ALGORITHMS, THEORY, AND APPLICATIONS Sugato Basu, Ian Davidson, and Kiri L Wagstaff CONTRAST DATA MINING: CONCEPTS, ALGORITHMS, AND APPLICATIONS Guozhu Dong and James Bailey DATA CLUSTERING: ALGORITHMS AND APPLICATIONS Charu C Aggarawal and Chandan K Reddy DATA CLUSTERING IN C++: AN OBJECT-ORIENTED APPROACH Guojun Gan K14110_FM.indd 11/19/13 6:40 PM DATA MINING FOR DESIGN AND MARKETING Yukio Ohsawa and Katsutoshi Yada DATA MINING WITH R: LEARNING WITH CASE STUDIES Luís Torgo FOUNDATIONS OF PREDICTIVE ANALYTICS James Wu and Stephen Coggeshall GEOGRAPHIC DATA MINING AND KNOWLEDGE DISCOVERY, SECOND EDITION Harvey J Miller and Jiawei Han HANDBOOK OF EDUCATIONAL DATA MINING Cristóbal Romero, Sebastian Ventura, Mykola Pechenizkiy, and Ryan S.J.d Baker INFORMATION DISCOVERY ON ELECTRONIC HEALTH RECORDS Vagelis Hristidis INTELLIGENT TECHNOLOGIES FOR WEB APPLICATIONS Priti Srinivas Sajja and Rajendra Akerkar INTRODUCTION TO PRIVACY-PRESERVING DATA PUBLISHING: CONCEPTS AND TECHNIQUES Benjamin C M Fung, Ke Wang, Ada Wai-Chee Fu, and Philip S Yu KNOWLEDGE DISCOVERY FOR COUNTERTERRORISM AND LAW ENFORCEMENT David Skillicorn KNOWLEDGE DISCOVERY FROM DATA STREAMS João Gama MACHINE LEARNING AND KNOWLEDGE DISCOVERY FOR ENGINEERING SYSTEMS HEALTH MANAGEMENT Ashok N Srivastava and Jiawei Han MINING SOFTWARE SPECIFICATIONS: METHODOLOGIES AND APPLICATIONS David Lo, Siau-Cheng Khoo, Jiawei Han, and Chao Liu MULTIMEDIA DATA MINING: A SYSTEMATIC INTRODUCTION TO CONCEPTS AND THEORY Zhongfei Zhang and Ruofei Zhang MUSIC DATA MINING Tao Li, Mitsunori Ogihara, and George Tzanetakis NEXT GENERATION OF DATA MINING Hillol Kargupta, Jiawei Han, Philip S Yu, Rajeev Motwani, and Vipin Kumar RAPIDMINER: DATA MINING USE CASES AND BUSINESS ANALYTICS APPLICATIONS Markus Hofmann and Ralf Klinkenberg K14110_FM.indd 11/19/13 6:40 PM RELATIONAL DATA CLUSTERING: MODELS, ALGORITHMS, AND APPLICATIONS Bo Long, Zhongfei Zhang, and Philip S Yu SERVICE-ORIENTED DISTRIBUTED KNOWLEDGE DISCOVERY Domenico Talia and Paolo Trunfio SPECTRAL FEATURE SELECTION FOR DATA MINING Zheng Alan Zhao and Huan Liu STATISTICAL DATA MINING USING SAS APPLICATIONS, SECOND EDITION George Fernandez SUPPORT VECTOR MACHINES: OPTIMIZATION BASED THEORY, ALGORITHMS, AND EXTENSIONS Naiyang Deng, Yingjie Tian, and Chunhua Zhang TEMPORAL DATA MINING Theophano Mitsa TEXT MINING: CLASSIFICATION, CLUSTERING, AND APPLICATIONS Ashok N Srivastava and Mehran Sahami THE TOP TEN ALGORITHMS IN DATA MINING Xindong Wu and Vipin Kumar UNDERSTANDING COMPLEX DATASETS: DATA MINING WITH MATRIX DECOMPOSITIONS David Skillicorn K14110_FM.indd 11/19/13 6:40 PM COMPUTATIONAL BUSINESS ANALYTICS SUBRATA DAS Machine Analytics, Inc Belmont, Massachusetts, USA K14110_FM.indd 11/19/13 6:40 PM The author can be requested at sdas@machineanalytics.com for a demonstration version of any of the three Machine Analytics tools used to perform case studies in the two penultimate chapters of the book It will be the sole discretion of the author to provide tools upon a satisfactory analysis of the requestor’s usage intention Use of the tools is entirely at their own risk Machine Analytics is not responsible for the consequences of reliance on any analyses provided by the tools Licensing details for commercial versions of these tools can be obtained by sending an email to admin@machineanalytics.com CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2014 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis 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❉✐str✐❜✉t✐♦♥ ✸✳✸✳✷ ▲♦❣♥♦r♠❛❧ ✸✳✸✳✸ ❊①♣♦♥❡♥t✐❛❧ ❉✐str✐❜✉t✐♦♥ ✸✳✸✳✹ ❲❡✐❜✉❧❧ ❉✐str✐❜✉t✐♦♥ ✸✳✸✳✺ ❇❡t❛ ❛♥❞ ❉✐r✐❝❤❧❡t ❉✐str✐❜✉t✐♦♥s ✸✳✸✳✻ ●❛♠♠❛ ❉✐str✐❜✉t✐♦♥ ●❖❖❉◆❊❙❙✲❖❋✲❋■❚ ❚❊❙❚ ✸✳✹✳✶ Pr♦❜❛❜✐❧✐t② P❧♦t ✸✳✹✳✷ ❖♥❡✲❲❛② ❈❤✐✲❙q✉❛r❡ ●♦♦❞♥❡ss✲♦❢✲❋✐t ❚❡st ✸✳✹✳✸ ❑♦❧♠♦❣♦r♦✈✲❙♠✐r♥♦✈ ❚❡st ❋❯❘❚❍❊❘ ❘❊❆❉■◆● ❈❤❛♣t❡r ✹ ❇❛②❡s✐❛♥ Pr♦❜❛❜✐❧✐t② ❛♥❞ ■♥❢❡r❡♥❝❡ ✹✳✶ ✹✳✷ ✹✳✸ ❇❆❨❊❙■❆◆ ■◆❋❊❘❊◆❈❊ P❘■❖❘ P❘❖❇❆❇■▲■❚■❊❙ ✹✳✷✳✶ ❈♦♥❥✉❣❛t❡ Pr✐♦rs ✹✳✷✳✷ ❚❤❡ ❏❡✛r❡②s Pr✐♦r ❋❯❘❚❍❊❘ ❘❊❆❉■◆● ❈❤❛♣t❡r ✺ ■♥❢❡r❡♥t✐❛❧ ❙t❛t✐st✐❝s ❛♥❞ Pr❡❞✐❝t✐✈❡ ❆♥❛❧②t✐❝s ✺✳✶ ✺✳✷ ✺✳✸ ✺✳✹ ✺✳✺ ✺✳✻ ✺✳✼ ❈❍■✲❙◗❯❆❘❊ ❚❊❙❚ ❖❋ ■◆❉❊P❊◆❉❊◆❈❊ ❘❊●❘❊❙❙■❖◆ ❆◆❆▲❨❙❊❙ ✺✳✷✳✶ ❙✐♠♣❧❡ ▲✐♥❡❛r ❘❡❣r❡ss✐♦♥ ✺✳✷✳✷ ▼✉❧t✐♣❧❡ ▲✐♥❡❛r ❘❡❣r❡ss✐♦♥ ✺✳✷✳✸ ▲♦❣✐st✐❝ ❘❡❣r❡ss✐♦♥ ✺✳✷✳✹ P♦❧②♥♦♠✐❛❧ ❘❡❣r❡ss✐♦♥ ❇❆❨❊❙■❆◆ ▲■◆❊❆❘ ❘❊●❘❊❙❙■❖◆ ✺✳✸✳✶ ●❛✉ss✐❛♥ Pr♦❝❡ss❡s P❘■◆❈■P❆▲ ❈❖▼P❖◆❊◆❚ ❆◆❉ ❋❆❈❚❖❘ ❆◆❆▲❨✲ ❙❊❙ ❙❯❘❱■❱❆▲ ❆◆❆▲❨❙■❙ ❆❯❚❖❘❊●❘❊❙❙■❖◆ ▼❖❉❊▲❙ ❋❯❘❚❍❊❘ ❘❊❆❉■◆● ✹✾ ✹✾ ✺✵ ✺✶ ✺✷ ✺✸ ✺✻ ✺✼ ✺✼ ✺✾ ✻✶ ✻✹ ✻✺ ✻✺ ✻✽ ✻✾ ✼✵ ✼✸ ✼✺ ✼✻ ✼✼ ✼✼ ✼✽ ✼✾ ✽✶ ✽✷ ✽✹ ✽✼ ✾✷ ✾✼ ✾✽ ❈♦♥t❡♥ts ✈✐✐ ❈❤❛♣t❡r ✻ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ❢♦r ❙②♠❜♦❧✐❝ ❆♥❛❧②t✐❝s ✾✾ ✻✳✶ ✻✳✷ ✻✳✸ ✻✳✹ ✻✳✺ ✻✳✻ ❆◆❆▲❨❚■❈❙ ❆◆❉ ❯◆❈❊❘❚❆■◆❚■❊❙ ✻✳✶✳✶ ■❣♥♦r❛♥❝❡ t♦ ❯♥❝❡rt❛✐♥t✐❡s ✻✳✶✳✷ ❆♣♣r♦❛❝❤❡s t♦ ❍❛♥❞❧✐♥❣ ❯♥❝❡rt❛✐♥t✐❡s ◆❊❖✲▲❖●■❈■❙❚ ❆PP❘❖❆❈❍ ✻✳✷✳✶ ❊✈♦❧✉t✐♦♥ ♦❢ ❘✉❧❡s ✻✳✷✳✷ ■♥❢❡r❡♥❝✐♥❣ ✐♥ ❘✉❧❡✲❜❛s❡❞ ❙②st❡♠s ✻✳✷✳✸ ❆❞✈❛♥t❛❣❡s ❛♥❞ ❉✐s❛❞✈❛♥t❛❣❡s ♦❢ ❘✉❧❡✲❇❛s❡❞ ❙②st❡♠s ◆❊❖✲P❘❖❇❆❇■▲■❙❚ ◆❊❖✲❈❆▲❈❯▲■❙❚ ❆PP❘❖❆❈❍ ✻✳✹✳✶ ❈❡rt❛✐♥t② ❋❛❝t♦rs ✻✳✹✳✷ ❉❡♠♣st❡r✲❙❤❛❢❡r ❚❤❡♦r② ♦❢ ❇❡❧✐❡❢ ❋✉♥❝t✐♦♥ ◆❊❖✲●❘❆◆❯▲❆❘■❙❚ ✻✳✺✳✶ Pr♦❜❛❜✐❧✐st✐❝ ▲♦❣✐❝ ✻✳✺✳✷ ❋✉③③② ▲♦❣✐❝ ✻✳✺✳✸ ❋✉③③② ▲♦❣✐❝ ❢♦r ❈✉st♦♠❡r ❙❡❣♠❡♥t❛t✐♦♥ ❋❯❘❚❍❊❘ ❘❊❆❉■◆● ❈❤❛♣t❡r ✼ Pr♦❜❛❜✐❧✐st✐❝ ●r❛♣❤✐❝❛❧ ▼♦❞❡❧✐♥❣ ✼✳✶ ✼✳✷ ✼✳✸ ◆❆■❱❊ ❇❆❨❊❙■❆◆ ❈▲❆❙❙■❋■❊❘ ✭◆❇❈✮ ❑✲❉❊P❊◆❉❊◆❈❊ ◆❆■❱❊ ❇❆❨❊❙■❆◆ ❈▲❆❙❙■❋■❊❘ ✭❑◆❇❈✮ ❇❆❨❊❙■❆◆ ❇❊▲■❊❋ ◆❊❚❲❖❘❑❙ ✼✳✸✳✶ ❈♦♥❞✐t✐♦♥❛❧ ■♥❞❡♣❡♥❞❡♥❝❡ ✐♥ ❇❡❧✐❡❢ ◆❡t✇♦r❦s ✼✳✸✳✷ ❊✈✐❞❡♥❝❡✱ ❇❡❧✐❡❢✱ ❛♥❞ ▲✐❦❡❧✐❤♦♦❞ ✼✳✸✳✸ Pr✐♦r Pr♦❜❛❜✐❧✐t✐❡s ✐♥ ◆❡t✇♦r❦s ✇✐t❤♦✉t ❊✈✐❞❡♥❝❡ ✼✳✸✳✹ ❇❡❧✐❡❢ ❘❡✈✐s✐♦♥ ✼✳✸✳✺ ❊✈✐❞❡♥❝❡ Pr♦♣❛❣❛t✐♦♥ ✐♥ P♦❧②tr❡❡s ✼✳✸✳✺✳✶ ✼✳✸✳✺✳✷ ✼✳✸✳✺✳✸ ✾✾ ✾✾ ✶✵✸ ✶✵✺ ✶✵✻ ✶✶✵ ✶✶✶ ✶✶✷ ✶✶✹ ✶✶✹ ✶✶✼ ✶✷✸ ✶✷✸ ✶✷✻ ✶✸✷ ✶✸✹ ✶✸✺ ✶✸✻ ✶✸✽ ✶✹✵ ✶✹✺ ✶✺✷ ✶✺✹ ✶✺✻ ✶✻✶ ❯♣✇❛r❞ Pr♦♣❛❣❛t✐♦♥ ✐♥ ❛ ▲✐♥❡❛r ❋r❛❣✲ ♠❡♥t ✶✻✶ ❉♦✇♥✇❛r❞ Pr♦♣❛❣❛t✐♦♥ ✐♥ ❛ ▲✐♥❡❛r ❋r❛❣♠❡♥t ✶✻✹ ❯♣✇❛r❞ Pr♦♣❛❣❛t✐♦♥ ✐♥ ❛ ❚r❡❡ ❋r❛❣♠❡♥t ✶✻✼ ✈✐✐✐ ❈♦♥t❡♥ts ✼✳✸✳✺✳✹ ✼✳✸✳✺✳✺ ✼✳✸✳✺✳✻ ✼✳✸✳✻ ✼✳✸✳✼ ✶✻✾ ❯♣✇❛r❞ Pr♦♣❛❣❛t✐♦♥ ✐♥ ❛ P♦❧②tr❡❡ ❋r❛❣✲ ♠❡♥t ✶✻✾ ❉♦✇♥✇❛r❞ Pr♦♣❛❣❛t✐♦♥ ✐♥ ❛ P♦❧②tr❡❡ ❋r❛❣♠❡♥t ✶✼✶ Pr♦♣❛❣❛t✐♦♥ ❆❧❣♦r✐t❤♠ ✶✼✺ ❊✈✐❞❡♥❝❡ Pr♦♣❛❣❛t✐♦♥ ✐♥ ❉✐r❡❝t❡❞ ❆❝②❝❧✐❝ ●r❛♣❤s ✶✼✽ ✼✳✸✳✼✳✶ ●r❛♣❤✐❝❛❧ ❚r❛♥s❢♦r♠❛t✐♦♥ ✶✽✶ ✼✳✸✳✼✳✷ ❏♦✐♥ ❚r❡❡ ■♥✐t✐❛❧✐③❛t✐♦♥ ✶✽✼ ✼✳✸✳✼✳✸ ✼✳✸✳✼✳✹ ✼✳✹ ❉♦✇♥✇❛r❞ Pr♦♣❛❣❛t✐♦♥ ✐♥ ❛ ❚r❡❡ ❋r❛❣✲ ♠❡♥t Pr♦♣❛❣❛t✐♦♥ ✐♥ ❏♦✐♥ ❚r❡❡ ❛♥❞ ▼❛r❣✐♥❛❧✲ ✐③❛t✐♦♥ ❍❛♥❞❧✐♥❣ ❊✈✐❞❡♥❝❡ ✽✳✷ ✽✳✸ ✽✳✹ ❊❳P❊❈❚❊❉ ❯❚■▲■❚❨ ❚❍❊❖❘❨ ❆◆❉ ❉❊❈■❙■❖◆ ❚❘❊❊❙ ■◆❋▲❯❊◆❈❊ ❉■❆●❘❆▼❙ ❋❖❘ ❉❊❈■❙■❖◆ ❙❯PP❖❘❚ ✽✳✷✳✶ ■♥❢❡r❡♥❝✐♥❣ ✐♥ ■♥✢✉❡♥❝❡ ❉✐❛❣r❛♠s ✽✳✷✳✷ ❈♦♠♣✐❧❛t✐♦♥ ♦❢ ■♥✢✉❡♥❝❡ ❉✐❛❣r❛♠s ❙❨▼❇❖▲■❈ ❆❘●❯▼❊◆❚❆❚■❖◆ ❋❖❘ ❉❊❈■❙■❖◆ ❙❯P✲ P❖❘❚ ✽✳✸✳✶ ▼❡❛s✉r✐♥❣ ❈♦♥s❡♥s✉s ✽✳✸✳✷ ❈♦♠❜✐♥✐♥❣ ❙♦✉r❝❡s ♦❢ ❱❛r②✐♥❣ ❈♦♥✜❞❡♥❝❡ ❋❯❘❚❍❊❘ ❘❊❆❉■◆● ❈❤❛♣t❡r ✾ ❚✐♠❡ ❙❡r✐❡s ▼♦❞❡❧✐♥❣ ❛♥❞ ❋♦r❡❝❛st✐♥❣ ✾✳✶ ✾✳✷ ✶✾✶ ✼✳✸✳✽ ❈♦♠♣❧❡①✐t② ♦❢ ■♥❢❡r❡♥❝❡ ❆❧❣♦r✐t❤♠s ✶✾✹ ✼✳✸✳✾ ❆❝q✉✐s✐t✐♦♥ ♦❢ Pr♦❜❛❜✐❧✐t✐❡s ✶✾✺ ✼✳✸✳✶✵ ❆❞✈❛♥t❛❣❡s ❛♥❞ ❉✐s❛❞✈❛♥t❛❣❡s ♦❢ ❇❡❧✐❡❢ ◆❡t✇♦r❦s ✶✾✽ ✼✳✸✳✶✶ ❇❡❧✐❡❢ ◆❡t✇♦r❦ ❚♦♦❧s ✶✾✾ ❋❯❘❚❍❊❘ ❘❊❆❉■◆● ✶✾✾ ❈❤❛♣t❡r ✽ ❉❡❝✐s✐♦♥ ❙✉♣♣♦rt ❛♥❞ Pr❡s❝r✐♣t✐✈❡ ❆♥❛❧②t✐❝s ✽✳✶ ✶✽✾ P❘❖❇▲❊▼ ▼❖❉❊▲■◆● ✾✳✶✳✶ ❙t❛t❡ ❚r❛♥s✐t✐♦♥ ❛♥❞ ❖❜s❡r✈❛t✐♦♥ ▼♦❞❡❧s ✾✳✶✳✷ ❊st✐♠❛t✐♦♥ Pr♦❜❧❡♠ ❑❆▲▼❆◆ ❋■▲❚❊❘ ✭❑❋✮ ✷✵✶ ✷✵✷ ✷✵✹ ✷✵✻ ✷✶✶ ✷✶✾ ✷✷✶ ✷✷✻ ✷✷✻ ✷✷✾ ✷✷✾ ✷✸✵ ✷✸✶ ✷✸✸ ✹✻✺ ❘❡❢❡r❡♥❝❡s ❈❤✐❝❦❡r✐♥❣✱ ❉✳ ✭✷✵✵✷✮✳ ✏▲❡❛r♥✐♥❣ ❡q✉✐✈❛❧❡♥❝❡ ❝❧❛ss❡s ♦♥ ❇❛②❡s✐❛♥ ♥❡t✇♦r❦ str✉❝t✉r❡s✱✑ ❏♦✉r♥❛❧ ♦❢ ▼❛❝❤✐♥❡ ▲❡❛r♥✐♥❣ ❘❡s❡❛r❝❤✱ ❈❤♦♠s❦②✱ ◆✳ ✭✷✵✵✷✮✳ ❙②♥t❛❝t✐❝ ❙tr✉❝t✉r❡s✱ ✷✿✹✹✺−✹✾✽✳ ❲❛❧t❡r ❞❡ ●r✉②t❡r✱ ✷♥❞ ❊❞✐t✐♦♥✱ ❇❡r❧✐♥ ❛♥❞ ◆❨✳ ❈❤♦✇✱ ❈✳ ❑✳✱ ❛♥❞ ▲✐✉✱ ❈✳ ◆✳ ✭✶✾✻✽✮✳ ✏❆♣♣r♦①✐♠❛t✐♥❣ ❞✐s❝r❡t❡ ♣r♦❜❛❜✐❧✐t② ❞✐s✲ tr✐❜✉t✐♦♥s ✇✐t❤ ❞❡♣❡♥❞❡♥❝❡ tr❡❡s✱✑ ❚❤❡♦r②✱ ■❊❊❊ ❚r❛♥s❛❝t✐♦♥s ♦♥ ■♥❢♦r♠❛t✐♦♥ ✶✹✿✹✻✷✕✹✻✼✳ ❈❤✉♥❣✱ ❑✳ ▲✳ ✭✷✵✵✵✮✳ ❆ ❈♦✉rs❡ ✐♥ Pr♦❜❛❜✐❧✐t② ❚❤❡♦r②✱ ❈❧❛r❦✱ ❑✳ ▲✳ ✭✶✾✼✽✮✳ ✏◆❡❣❛t✐♦♥ ❛s ❢❛✐❧✉r❡✱✑ ❆❝❛❞❡♠✐❝ Pr❡ss✱ ◆❨✳ ▲♦❣✐❝ ❛♥❞ ❉❛t❛❜❛s❡s✱ ✷✾✸−✸✷✷✱ P❧❡♥✉♠ Pr❡ss✱ ◆❨✳ ❈❧♦❝❦s✐♥✱ ❲✳ ❋✳✱ ❛♥❞ ▼❡❧❧✐s❤✱ ❈✳ ❙✳ ✭✷✵✵✸✮✳ Pr♦❣r❛♠♠✐♥❣ ✐♥ Pr♦❧♦❣✱ ✺t❤ ❡❞✐t✐♦♥✱ ❙♣r✐♥❣❡r✲❱❡r❧❛❣✱ ❇❡r❧✐♥✱ ●❡r♠❛♥②✳ ❈♦❜❜✱ ❇✳✱ ❛♥❞ ❙❤❡♥♦②✱ P✳ ✭✷✵✵✸✮✳ ✏■♥❢❡r❡♥❝❡ ✐♥ ❤②❜r✐❞ ❇❛②❡s✐❛♥ ♥❡t✇♦r❦s ✇✐t❤ ♠✐①t✉r❡s ♦❢ tr✉♥❝❛t❡❞ ❡①♣♦♥❡♥t✐❛❧s✱✑ ❯♥❝❡rt❛✐♥t② Pr♦❝❡ss✐♥❣✱ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✻t❤ ❲♦r❦s❤♦♣ ♦♥ ✹✼✕✻✸✱ ❈③❡❝❤ ❘❡♣✉❜❧✐❝✳ Pr♦❝❡❡❞✲ ✐♥❣s ♦❢ t❤❡ ✸r❞ ❆♥♥✉❛❧ ❆❈▼ ❙②♠♣♦s✐✉♠ ♦♥ t❤❡ ❚❤❡♦r② ♦❢ ❈♦♠♣✉t✐♥❣✱ ❆❈▼ Pr❡ss✱ ◆❨✱ ✶✺✶−✶✺✽✳ ❈♦♦❦✱ ❙✳ ❆✳ ✭✶✾✼✶✮✳ ✏❚❤❡ ❝♦♠♣❧❡①✐t② ♦❢ t❤❡♦r❡♠ ♣r♦✈✐♥❣ ♣r♦❝❡❞✉r❡s✱✑ ❈♦♦♣❡r✱ ●✳ ✭✶✾✾✵✮✳ ✏❚❤❡ ❝♦♠♣✉t❛t✐♦♥❛❧ ❝♦♠♣❧❡①✐t② ♦❢ ♣r♦❜❛❜✐❧✐st✐❝ ✐♥❢❡r❡♥❝❡ ✉s✐♥❣ ❇❛②❡s✐❛♥ ❇❡❧✐❡❢ ◆❡t✇♦r❦s✱✑ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡✱ ✹✷✳ ❈♦♦♣❡r✱ ●✳✱ ❛♥❞ ❍❡rs❦♦✈✐ts✱ ❊✳ ✭✶✾✾✷✮✳ ✏❆ ❇❛②❡s✐❛♥ ♠❡t❤♦❞ ❢♦r t❤❡ ✐♥❞✉❝t✐♦♥ ♦❢ ♣r♦❜❛❜✐❧✐st✐❝ ♥❡t✇♦r❦s ❢r♦♠ ❞❛t❛✱✑ ❈♦♣✐✱ ■✳ ▼✳ ✭✶✾✼✾✮✳ ❙②♠❜♦❧✐❝ ▲♦❣✐❝✱ ▼❛❝❤✐♥❡ ▲❡❛r♥✐♥❣✱ ✾✿✸✵✾✕✸✹✼✳ ▼❛❝♠✐❧❧❛♥✱ ◆❡✇ ❨♦r❦✳ ❈♦✈❡r✱ ❚✳ ❛♥❞ ❍❛rt✱ P✳ ✭✶✾✻✼✮✳ ✏◆❡❛r❡st ♥❡✐❣❤❜♦r ♣❛tt❡r♥ ❝❧❛ss✐✜❝❛t✐♦♥✱✑ ❚r❛♥s❛❝t✐♦♥ ♦♥ ■♥❢♦r♠❛t✐♦♥ ❚❤❡♦r②✱ ■❊❊❊ ❱♦❧✳ ✶✸✱ ◆♦✳ ✶✱ ♣♣✳ ✿✷✶❡✼✳ ❆♥ ■♥tr♦❞✉❝t✐♦♥ t♦ ❙✉♣♣♦rt ❱❡❝t♦r ▼❛❝❤✐♥❡s ❛♥❞ ❖t❤❡r ❑❡r♥❡❧✲❜❛s❡❞ ▲❡❛r♥✐♥❣ ▼❡t❤♦❞s✱ ❈❛♠❜r✐❞❣❡ ❯♥✐✈❡r✲ ❈r✐st✐❛♥✐♥✐✱ ◆✳ ❛♥❞ ❙❤❛✇✲❚❛②❧♦r✱ ❏✳ ✭✷✵✵✵✮✳ s✐t② Pr❡ss✳ ❉❛s✱ ❙✳ ✭✶✾✾✷✮✳ ❉❡❞✉❝t✐✈❡ ❉❛t❛❜❛s❡s ❛♥❞ ▲♦❣✐❝ Pr♦❣r❛♠♠✐♥❣✱ ❆❞❞✐s♦♥✲❲❡s❧❡②✱ ❲♦❦✐♥❣❤❛♠✱ ❊♥❣❧❛♥❞✳ ❉❛s✱ ❙✳✱ ❛♥❞ ●r❡❝✉✱ ❉✳ ✭✷✵✵✵✮✳ ✏❈❖●❊◆❚✿ ❈♦❣♥✐t✐✈❡ ❛❣❡♥t t♦ ❛♠♣❧✐❢② ❤✉♠❛♥ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✹t❤ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r✲ ❡♥❝❡ ♦♥ ❆✉t♦♥♦♠♦✉s ❆❣❡♥ts✱ ❇❛r❝❡❧♦♥❛✳ ♣❡r❝❡♣t✐♦♥ ❛♥❞ ❝♦❣♥✐t✐♦♥✱✑ ❉❛s✱ ❙✳✱ ●r❡②✱ ❘✳✱ ❛♥❞ ●♦♥s❛❧✈❡s✱ P✳ ✭✷✵✵✷✮✳ ✏❙✐t✉❛t✐♦♥ ❛ss❡ss♠❡♥t ✈✐❛ ❇❛②❡s✐❛♥ ❇❡❧✐❡❢ ◆❡t✇♦r❦s✱✑ ❢♦r♠❛t✐♦♥ ❋✉s✐♦♥✱ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✺t❤ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ■♥✲ ❆♥♥❛♣♦❧✐s✱ ▼❛r②❧❛♥❞✳ ❉❛s✱ ❙✳✱ ■♥tr♦♥❡✱ ❏✳✱ ▲❛✇❧❡ss✱ ❉✳✱ ❍♦②t✱ ❘✳✱ ❛♥❞ ▼✉③❛✱ ❙✳ ✭✷✵✵✹✮✳ ✏Pr♦❜❛❜✐❧✐st✐❝ ❯♥✐t ▲✐❢❡ ❙t❛t✉s ❊st✐♠❛t✐♦♥ ✭P❯▲❙❊✮✱✑ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✼t❤ ■♥t❡r♥❛✲ t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ■♥❢♦r♠❛t✐♦♥ ❋✉s✐♦♥✱ ❙t♦❝❦❤♦❧♠✱ ❙✇❡❞❡♥✳ ✹✻✻ ❘❡❢❡r❡♥❝❡s ❉❛s✱ ❙✳ ✭✷✵✵✺✮✳ ✏❙②♠❜♦❧✐❝ ❛r❣✉♠❡♥t❛t✐♦♥ ❢♦r ❞❡❝✐s✐♦♥ ♠❛❦✐♥❣ ✉♥❞❡r ✉♥❝❡r✲ t❛✐♥t②✱✑ ❋✉s✐♦♥✱ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✽t❤ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ■♥❢♦r♠❛t✐♦♥ P❤✐❧❛❞❡❧♣❤✐❛✱ P❆✳ ❉❛s✱ ❙✳✱ ▲❛✇❧❡ss✱ ❉✳✱ ◆❣✱ ❇✳✱ ❛♥❞ P❢❡✛❡r✱ ❆✳ ✭✷✵✵✺✮✳ ✏❋❛❝t♦r❡❞ ♣❛rt✐❝❧❡ ✜❧t❡r✐♥❣ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✽t❤ ❢♦r s✐t✉❛t✐♦♥ ❛ss❡ss♠❡♥t ✐♥ ✉r❜❛♥ ❡♥✈✐r♦♥♠❡♥ts✱✑ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ■♥❢♦r♠❛t✐♦♥ ❋✉s✐♦♥✱ P❤✐❧❛❞❡❧♣❤✐❛✱ P❆✳ ❉❛s✱ ❙✳✱ ❑❛♥❥✐❧❛❧✱ P✳✱ ❛♥❞ ▲❛✇❧❡ss✱ ❉✳ ✭✷✵✵✻✮✳ ✏❙♣❛t✐♦t❡♠♣♦r❛❧ ❝❧✉st❡r✐♥❣ ❢♦r ❛❣✲ ❣r❡❣❛t✐♥❣ ❤♦st✐❧❡ ✉♥✐ts ✐♥ ❝❧✉tt❡r❡❞ ❡♥✈✐r♦♥♠❡♥ts✱✑ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ■♥❢♦r♠❛t✐♦♥ ❋✉s✐♦♥✱ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✾t❤ ❋❧♦r❡♥❝❡✱ ■t❛❧② ✭❏✉❧②✮✳ ❋♦✉♥❞❛t✐♦♥s ♦❢ ❉❡❝✐s✐♦♥✲▼❛❦✐♥❣ ❆❣❡♥ts✿ ▲♦❣✐❝✱ Pr♦❜❛❜✐❧✐t②✱ ❛♥❞ ▼♦❞❛❧✐t②✱ ❲♦r❧❞ ❙❝✐❡♥t✐✜❝✴■♠♣❡r✐❛❧ ❈♦❧❧❡❣❡ Pr❡ss✱ ❙✐♥❣❛♣♦r❡✴▲♦♥✲ ❉❛s✱ ❙✳ ✭✷✵✵✽❛✮✳ ❞♦♥✳ ❉❛s✱ ❙✳ ✭✷✵✵✽❜✮✳ ❍✐❣❤✲▲❡✈❡❧ ❉❛t❛ ❋✉s✐♦♥✱ ❆rt❡❝❤ ❍♦✉s❡✱ ◆♦r✇♦♦❞✱ ▼❆✳ ❉❛s✱ ❙✳ ✭✷✵✶✸✮✳ ✏❋❡❛t✉r❡ ❉❡♣❡♥❞❡♥❝✐❡s ❛♥❞ ❋✐s❤❡r ❑❡r♥❡❧ ✐♥ ❚❡①t ❈❧❛ss✐✜❝❛✲ t✐♦♥✳✑ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ❊✉r♦♣❡❛♥ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❉❛t❛ ❆♥❛❧②s✐s✱ ▲✉①❡♠✲ ❜♦✉r❣✳ ❞❡ ▼❛r♥❡✛❡✱ ▼✲❈✱ ▼❛❝❈❛rt♥❡②✱ ❇✳✱ ❛♥❞ ▼❛♥♥✐♥❣✱ ❈✳ ✭✷✵✵✻✮✳ ✏●❡♥❡r❛t✐♥❣ t②♣❡❞ ❞❡♣❡♥❞❡♥❝② ♣❛rs❡s ❢r♦♠ ♣❤r❛s❡ str✉❝t✉r❡ ♣❛rs❡s✳✑ ▲❘❊❈✲✵✻✳ Pr♦❝❡❡❞✐♥❣s ♦❢ ❞❡ ▼❛r♥❡✛❡✱ ▼✲❈ ❡t ❛❧✳ ✭✷✵✶✵✮✳ ✏❙t❛♥❢♦r❞ t②♣❡❞ ❞❡♣❡♥❞❡♥❝✐❡s ♠❛♥✉❛❧✿ ❘❡✈✐s❡❞ ❢♦r ❙t❛♥❢♦r❞ P❛rs❡r ✈✳ ✶✳✻✳✺✱✑ ❙t❛♥❢♦r❞ ❯♥✐✈❡rs✐t②✳ ❉❡❡r✇❡st❡r✱ ❙✳✱ ❉✉♠❛✐s✱ ❙✳ ❚✳✱ ❋✉r♥❛s✱ ●✳ ❲✳✱ ▲❛♥❞❛✉❡r✱ ❚✳ ❑✳✱ ❛♥❞ ❍❛rs❤✲ ♠❛♥ ❘✳ ✭✶✾✾✵✮✳ ✏❆✳ ■♥❞❡①✐♥❣ ❜② ❧❛t❡♥t s❡♠❛♥t✐❝ ❛♥❛❧②s✐s✱✑ ❙♦❝✐❡t② ❢♦r ■♥❢♦r♠❛t✐♦♥ ❙❝✐❡♥❝❡✱ ❏♦✉r♥❛❧ ♦❢ t❤❡ ✹✶✭✻✮✿✸✾✶✕✹✵✼✳ ❉❡♠♣st❡r✱ ❆✳ P✳ ✭✶✾✻✻✮✳ ✏◆❡✇ ♠❡t❤♦❞s ❢♦r r❡❛s♦♥✐♥❣ t♦✇❛r❞s ♣♦st❡r✐♦r ❞✐s✲ tr✐❜✉t✐♦♥s ❜❛s❡❞ ♦♥ s❛♠♣❧❡ ❞❛t❛✱✑ ❆♥♥❛❧s ♦❢ ▼❛t❤❡♠❛t✐❝❛❧ ❙t❛t✐st✐❝s✱ ✸✼✿✸✺✺✕✸✼✹✳ ❉❡♠♣st❡r✱ ❆✳✱ ▲❛✐r❞✱ ◆✳✱ ❛♥❞ ❘✉❜✐♥✱ ❉✳ ✭✶✾✼✼✮✳ ✏▼❛①✐♠✉♠ ❧✐❦❡❧✐❤♦♦❞ ❢r♦♠ ✐♥✲ ❝♦♠♣❧❡t❡ ❞❛t❛ ✈✐❛ t❤❡ ❊▼ ❛❧❣♦r✐t❤♠✱✑ ❇✱ ❏♦✉r♥❛❧ ♦❢ ❘♦②❛❧ ❙t❛t✐st✐❝❛❧ ❙♦❝✐❡t② ✸✾✿✶✕✸✽✳ ❉❡♦✱ ◆✳ ✭✶✾✼✹✮✳ ❙❝✐❡♥❝❡✱ ●r❛♣❤ ❚❤❡♦r② ✇✐t❤ ❆♣♣❧✐❝❛t✐♦♥s t♦ ❊♥❣✐♥❡❡r✐♥❣ ❛♥❞ ❈♦♠♣✉t❡r Pr❡♥t✐❝❡ ❍❛❧❧✱ ❊♥❣❧❡✇♦♦❞ ❈❧✐✛s✱ ◆❏✳ ❉❥✉r✐❝✱ P✳✱ ❑♦t❡❝❤❛✱ ❏✳✱ ❩❤❛♥❣✱ ❏✳✱ ❍✉❛♥❣✱ ❨✳✱ ●❤✐r♠❛✐✱ ❚✳✱ ❇✉❣❛❧❧♦✱ ▼✳✱ ❛♥❞ ▼✐❣✉❡③✱ ❏✳ ✭✷✵✵✸✮✳ ✏P❛rt✐❝❧❡ ✜❧t❡r✐♥❣✱✑ ■❊❊❊ ❙✐❣♥❛❧ Pr♦❝❡ss✐♥❣ ▼❛❣❛③✐♥❡✱ ✷✵✭✺✮✿✶✾✕✸✽✳ ❉♦✉❝❡t✱ ❆✳✱ ❞❡ ❋r❡✐t❛s✱ ◆✳✱ ▼✉r♣❤②✱ ❑✳✱ ❛♥❞ ❘✉ss❡❧✱ ❙✳ ✭✷✵✵✵❛✮✳ ✏❘❛♦✲ Pr♦✲ ❝❡❡❞✐♥❣s ♦❢ t❤❡ ✶✻t❤ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭❯❆■ ✮✱ ❙t❛♥❢♦r❞✱ ❈❆ ❇❧❛❝❦✇❡❧❧✐s❡❞ ♣❛rt✐❝❧❡ ✜❧t❡r✐♥❣ ❢♦r ❞②♥❛♠✐❝ ❇❛②❡s✐❛♥ ♥❡t✇♦r❦s✱✑ ✹✻✼ ❘❡❢❡r❡♥❝❡s ❉♦✉❝❡t✱ ❆✳✱ ❞❡ ❋r❡✐t❛s✱ ◆✳✱ ▼✉r♣❤②✱ ❑✳✱ ❛♥❞ ❘✉ss❡❧✱ ❙✳ ✭✷✵✵✵❜✮✳ ✏❆ s✐♠♣❧❡ t✉✲ t♦r✐❛❧ ♦♥ ❘❇P❋ ❢♦r ❉❇◆s✱✑ ❤tt♣✿✴✴✇✇✇✳❝s✳✉❜❝✳❝❛✴⑦♥❛♥❞♦✴s♦❢t✇❛r❡✳❤t♠❧ ❉♦✉❝❡t✱ ❆✳✱ ❞❡ ❋r❡✐t❛s✱ ◆✳✱ ❛♥❞ ●♦r❞♦♥✱ ◆✳ ✭❡❞s✳✮✳ ✭✷✵✵✶✮✳ ❈❛r❧♦ ▼❡t❤♦❞s ✐♥ Pr❛❝t✐❝❡✱ ❙❡q✉❡♥t✐❛❧ ▼♦♥t❡ ❙♣r✐♥❣❡r✲❱❡r❧❛❣✱ ◆❨✳ ❉r✉③❞③❡❧✱ ▼✳ ❏✳✱ ❛♥❞ ✈❛♥ ❞❡r ●❛❛❣✱ ▲✳ ❈✳ ✭✶✾✾✺✮✳ ✏❊❧✐❝✐t❛t✐♦♥ ♦❢ ♣r♦❜❛❜✐❧✐t✐❡s ❢♦r ❜❡❧✐❡❢ ♥❡t✇♦r❦s✿ ❈♦♠❜✐♥✐♥❣ q✉❛❧✐t❛t✐✈❡ ❛♥❞ q✉❛♥t✐t❛t✐✈❡ ✐♥❢♦r♠❛t✐♦♥✱✑ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✶✶t❤ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐✲ ❣❡♥❝❡ ✭❯❆■ ✮✱ ▼♦♥tr❡❛❧✱ ❈❛♥❛❞❛✳ ❉✉❜♦✐s✱ ❉✳✱ ❛♥❞ Pr❛❞❡✱ ❍✳ ✭✶✾✽✽✮✳ ❉✉❞❛✱ ❘✳✱ ❛♥❞ ❍❛rt✱ P✳ ✭✶✾✼✸✮✳ P♦ss✐❜✐❧✐t② ❚❤❡♦r②✱ P❧❡♥✉♠ Pr❡ss✱ ◆❨✳ P❛tt❡r♥ ❘❡❝♦❣♥✐t✐♦♥ ❛♥❞ ❙❝❡♥❡ ❆♥❛❧②s✐s✱ ❲✐❧❡②✱ ◆❨✳ ❉✉❞❛✱ ❘✳ ❖✳✱ ❍❛rt✱ P✳ ❊✳✱ ❛♥❞ ❙t♦r❦✱ ❉✳ ●✳ ✭✷✵✵✶✮✳ P❛tt❡r♥ ❈❧❛ss✐✜❝❛t✐♦♥✱ ✷♥❞ ❡❞✐t✐♦♥✱ ❏♦❤♥ ❲✐❧❡② ✫ ❙♦♥s✱ ◆❨✳ ❉✉♠❛✐s✱ ❙✳ ❚✳✱ ❋✉r♥❛s✱ ●✳ ❲✳✱ ▲❛♥❞❛✉❡r✱ ❚✳ ❑✳✱ ❛♥❞ ❉❡❡r✇❡st❡r✱ ❙✳ ✭✶✾✽✽✮✳ ✏❯s✐♥❣ ❧❛t❡♥t s❡♠❛♥t✐❝ ❛♥❛❧②s✐s t♦ ✐♠♣r♦✈❡ ✐♥❢♦r♠❛t✐♦♥ r❡tr✐❡✈❛❧✱✑ ❝❡❡❞✐♥❣s ♦❢ ❈❍■✬✽✽✿ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❍✉♠❛♥ ❋❛❝t♦rs ✐♥ ❈♦♠♣✉t✐♥❣✱ Pr♦✲ ❲❛s❤✲ ✐♥❣t♦♥✱ ❉❈✳ ❋❡❧❧❡r✱ ❲✳ ✭✶✾✻✽✮✳ ❆♥ ■♥tr♦❞✉❝t✐♦♥ t♦ Pr♦❜❛❜✐❧✐t② ❚❤❡♦r② ❛♥❞ ■ts ❆♣♣❧✐❝❛t✐♦♥s✱ ❱♦❧✳ ✶✱ ❏♦❤♥ ❲✐❧❡② ✫ ❙♦♥s✱ ◆❨✳ ❋✐♥❡✱ ❙✳✱ ❙✐♥❣❡r✱ ❨✳✱ ❛♥❞ ❚✐s❤❜②✱ ◆✳ ✭✶✾✾✽✮✳ ✏❚❤❡ ❤✐❡r❛r❝❤✐❝❛❧ ❤✐❞❞❡♥ ▼❛r❦♦✈ ♠♦❞❡❧✿ ❆♥❛❧②s✐s ❛♥❞ ❛♣♣❧✐❝❛t✐♦♥s✱✑ ❋♦①✱ ❏✳✱ ❛♥❞ ❉❛s✱ ❙✳ ✭✷✵✵✵✮✳ ❛r❞♦✉s ❆♣♣❧✐❝❛t✐♦♥s✱ ▼❛❝❤✐♥❡ ▲❡❛r♥✐♥❣✱ ✸✷✿✹✷✕✻✷✳ ❙❛❢❡ ❛♥❞ ❙♦✉♥❞✿ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✐♥ ❍❛③✲ ❆❆❆■✲▼■❚ Pr❡ss✱ ❈❛♠❜r✐❞❣❡✱ ▼❆✳ ❋r❛❦❡s✱ ❲✳ ✭✶✾✾✷✮✳ ✏❙t❡♠♠✐♥❣ ❆❧❣♦r✐t❤♠s✱✑ ■♥✿ ❲✳❇✳ ❋r❛❦❡s ❛♥❞ ❘✳ ❇❛❡③❛✲ ❨❛t❡s ✭❡❞s✮✱ ■♥❢♦r♠❛t✐♦♥ ❘❡tr✐❡✈❛❧✳ ❉❛t❛ ❙tr✉❝t✉r❡s ❛♥❞ ❆❧❣♦r✐t❤♠s✱ ♣♣✳ ✶✸✶✲✶✻✵✱ Pr❡♥t✐❝❡ ❍❛❧❧✱ ✶✾✾✷✳ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✶✹t❤ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭❯❆■ ✮✱ ▼❛❞✐s♦♥✱ ❲■✳ ❋r✐❡❞♠❛♥✱ ◆✳ ✭✶✾✾✽✮✳ ✏❚❤❡ ❇❛②❡s✐❛♥ str✉❝t✉r❛❧ ❊▼ ❛❧❣♦r✐t❤♠✱✑ ❋r✐❡❞♠❛♥✱ ◆✳✱ ●❡t♦♦r✱ ▲✳✱ ❑♦❧❧❡r✱ ❉✳✱ P❢❡✛❡r✱ ❆✳ ✭✶✾✾✾✮✳ ✏▲❡❛r♥✐♥❣ Pr♦❜❛✲ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✶✻t❤ ■♥t❡r♥❛t✐♦♥❛❧ ❏♦✐♥t ❈♦♥❢❡r❡♥❝❡ ♦♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭■❏❈❆■✮✱ ♣♣✳ ✶✸✵✵✕✶✸✵✾✳ ❜✐❧✐st✐❝ ❘❡❧❛t✐♦♥❛❧ ▼♦❞❡❧s✱✑ ❋r✐❡❞♠❛♥✱ ◆✳✱ ❛♥❞ ●♦❧❞s③♠✐❞t✱ ▼✳ ✭✶✾✾✻✮✳ ✏▲❡❛r♥✐♥❣ ❇❛②❡s✐❛♥ ♥❡t✇♦r❦s ✇✐t❤ ❧♦❝❛❧ str✉❝t✉r❡✱✑ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✶✷t❤ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥✲ ❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭❯❆■ ✮✱ P♦rt❧❛♥❞✱ ❖❘✳ ❋r✐❡❞♠❛♥✱ ◆✳✱ ❛♥❞ ❑♦❧❧❡r✱ ❉✳ ✭✷✵✵✸✮✳ ✏❇❡✐♥❣ ❇❛②❡s✐❛♥ ❛❜♦✉t ♥❡t✇♦r❦ str✉❝✲ t✉r❡✿ ❆ ❇❛②❡s✐❛♥ ❛♣♣r♦❛❝❤ t♦ str✉❝t✉r❡ ❞✐s❝♦✈❡r② ✐♥ ❇❛②❡s✐❛♥ ♥❡t✇♦r❦s✱✑ ▼❛❝❤✐♥❡ ▲❡❛r♥✐♥❣✱ ✺✵✿✾✺✕✶✷✻✳ ❋✉♥❣✱ ❘✳ ▼✳✱ ❛♥❞ ❈r❛✇❢♦r❞✱ ❙✳ ▲✳ ✭✶✾✾✵✮✳ ✏❈♦♥str✉❝t♦r✿ ❆ s②st❡♠ ❢♦r t❤❡ ✐♥❞✉❝✲ ✹✻✽ ❘❡❢❡r❡♥❝❡s t✐♦♥ ♦❢ ♣r♦❜❛❜✐❧✐st✐❝ ♠♦❞❡❧s✱✑ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✽t❤ ◆❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭❆❆❆■ ✮✱ ❇♦st♦♥✱ ▼❆✳ ●❛❧❧✐❡r✱ ❏✳ ❍✳ ✭✷✵✵✸✮✳ ▲♦❣✐❝ ❢♦r ❈♦♠♣✉t❡r ❙❝✐❡♥❝❡✱ ❏♦❤♥ ❲✐❧❡② ✫ ❙♦♥s✱ ◆❨✳ ❘❡✲ ❤tt♣✿✴✴✇✇✇✳❝✐s✳✉♣❡♥♥✳❡❞✉✴⑦❥❡❛♥✴❣❜♦♦❦s✴ ❧♦❣✐❝✳❤t♠❧ ✈✐s❡❞ ♦♥❧✐♥❡ ✈❡rs✐♦♥✱ ●❛✉ss✐❡r✱ ❊✳✱ ●♦✉tt❡✱ ❈✳✱ P♦♣❛t✱ ❑✳✱ ❛♥❞ ❈❤❡♥✱ ❋✳ ✭✷✵✵✷✮✳ ✏❆ ❍✐❡r❛r❝❤✐❝❛❧ ▼♦❞❡❧ ❢♦r ❈❧✉st❡r✐♥❣ ❛♥❞ ❈❛t❡❣♦r✐s✐♥❣ ❉♦❝✉♠❡♥ts✱✑ ✐♥ ❆❞✈❛♥❝❡s ✐♥ ■♥✲ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✷✹t❤ ❇❈❙✲■❘❙● ❊✉r♦♣❡❛♥ ❈♦❧❧♦✲ q✉✐✉♠ ♦♥ ■❘ ❘❡s❡❛r❝❤ ✭❊❈■❘✮✳ ❢♦r♠❛t✐♦♥ ❘❡tr✐❡✈❛❧✱ ●❡❧♠❛♥✱ ❆✳✱ ❈❛r❧✐♥✱ ❏✳✱ ❙t❡r♥✱ ❍✳✱ ❛♥❞ ❘✉❜✐♥✱ ❉✳ ✭✷✵✵✸✮✳ ②s✐s✱ ❇❛②❡s✐❛♥ ❉❛t❛ ❆♥❛❧✲ ❈❤❛♣♠❛♥ ❛♥❞ ❍❛❧❧✴❈❘❈ Pr❡ss✳ ●❡❧♠❛♥✱ ❆✳✱ ❛♥❞ ❍✐❧❧✱ ❏✳ ✭✷✵✵✻✮✳ ❧❡✈❡❧✴❍✐❡r❛r❝❤✐❝❛❧ ▼♦❞❡❧s✱ ❉❛t❛ ❆♥❛❧②s✐s ❯s✐♥❣ ❘❡❣r❡ss✐♦♥ ❛♥❞ ▼✉❧t✐✲ ❈❛♠❜r✐❞❣❡ ❯♥✐✈❡rs✐t② Pr❡ss✳ ●❡♠❛♥✱ ❙✳✱ ❛♥❞ ●❡♠❛♥✱ ❉✳ ✭✶✾✽✹✮✳ ✏❙t♦❝❤❛st✐❝ r❡❧❛①❛t✐♦♥✱ ●✐❜❜s ❞✐str✐❜✉t✐♦♥s ❛♥❞ t❤❡ ❇❛②❡s✐❛♥ r❡st♦r❛t✐♦♥ ♦❢ ✐♠❛❣❡s✱✑ ❆♥❛❧②s✐s ✫ ▼❛❝❤✐♥❡ ■♥t❡❧❧✐❣❡♥❝❡✱ ■❊❊❊ ❚r❛♥s❛❝t✐♦♥ ♦♥ P❛tt❡r♥ ✻✿✼✷✶✕✼✹✷✳ ●❤❛❤r❛♠❛♥✐✱ ❩✳ ✭✷✵✵✶✮✳ ✏❆♥ ✐♥tr♦❞✉❝t✐♦♥ t♦ ❍✐❞❞❡♥ ▼❛r❦♦✈ ▼♦❞❡❧s ❛♥❞ ❇❛②❡s✐❛♥ ♥❡t✇♦r❦s✱✑ ❆rt✐✜❝✐❛❧ ■♥t❡❧✐❣❡♥❝❡✱ ■♥t❡r♥❛t✐♦♥❛❧ ❏♦✉r♥❛❧ ♦❢ P❛tt❡r♥ ❘❡❝♦❣♥✐t✐♦♥ ❛♥❞ ✶✺✭✶✮✿✾✕✹✷✳ ●✐❧❦s✱ ❲✳✱ ❘✐❝❤❛r❞s♦♥✱ ❙✳✱ ❛♥❞ ❙♣✐❡❣❡❧❤❛❧t❡r✱ ❉✳ ✭❡❞s✳✮✳ ✭✶✾✾✻✮✳ ▼♦♥t❡ ❈❛r❧♦ ✐♥ Pr❛❝t✐❝❡✱ ●✐♥s❜❡r❣✱ ▼✳ ▲✳ ✭❡❞✳✮✳ ✭✶✾✽✼✮✳ ▼❛r❦♦✈ ❈❤❛✐♥ ❈❤❛♣♠❛♥ ❛♥❞ ❍❛❧❧✱ ▲♦♥❞♦♥✳ ❘❡❛❞✐♥❣s ✐♥ ◆♦♥♠♦♥♦t♦♥✐❝ ❘❡❛s♦♥✐♥❣✱ ▼♦r❣❛♥ ❑❛✉❢♠❛♥♥✱ ▲♦s ❆❧t♦s✱ ❈❆✳ ▼❛tr✐① ❈♦♠♣✉t❛t✐♦♥s✱ ●♦❧✉❜✱ ●✳✱ ❛♥❞ ❱❛♥ ▲♦❛♥✱ ❈✳ ❋✳ ✭✶✾✾✻✮✳ ✸r❞ ❡❞✐t✐♦♥✱ ❚❤❡ ❏♦❤♥s ❍♦♣❦✐♥s ❯♥✐✈❡rs✐t② Pr❡ss✱ ❇❛❧t✐♠♦r❡✳ ●♦r❞♦♥✱ ◆✳✱ ❙❛❧♠♦♥❞✱ ❉✳✱ ❛♥❞ ❙♠✐t❤✱ ❆✳ ✭✶✾✾✸✮✳ ✏◆♦✈❡❧ ♥♦♥❧✐♥❡❛r✴♥♦♥✲●❛✉ss✐❛♥ ❇❛②❡s✐❛♥ st❛t❡ ❡st✐♠❛t✐♦♥✱✑ ❘❛❞❛r ❛♥❞ ❙✐❣♥❛❧ Pr♦❝❡ss✐♥❣✱ ●♦rs✉❝❤✱ ❘✳ ✭✶✾✽✸✮✳ ❛♣♣r♦❛❝❤ t♦ ■❊❊ Pr♦❝❡❡❞✐♥❣s ♦♥ ✶✹✵✭✷✮✿✶✵✼✕✶✶✸✳ ❋❛❝t♦r ❆♥❛❧②s✐s✱ ▲❛✇r❡♥❝❡ ❊❛r❧❜❛✉♠✱ ◆❡✇ ❏❡rs❡②✳ ●r✐♠♠❡tt✱ ●✳✱ ❛♥❞ ❙t✐r③❛❦❡r✱ ❉✳ ✭✷✵✵✶✮✳ Pr♦❜❛❜✐❧✐t② ❛♥❞ ❘❛♥❞♦♠ Pr♦❝❡ss❡s✱ ❖①❢♦r❞ ❯♥✐✈❡rs✐t② Pr❡ss✳ ●r✐♠❡✱ ❙✳ ✭✷✵✶✶✮✳ ✏❯♥str✉❝t✉r❡❞ ❉❛t❛ ❛♥❞ t❤❡ ✽✵ P❡r❝❡♥t ❘✉❧❡✱✑ ❛t ✇❡❜ s✐t❡ ❤tt♣✿✴✴ ❝❧❛r❛❜r✐❞❣❡✳❝♦♠✴❞❡❢❛✉❧t✳❛s♣①❄t❛❜✐❞=✶✸✼✫ ▼♦❞✉❧❡■❉=✻✸✺✫ ❆rt✐❝❧❡■❉=✺✺✶ ❍❛❧❧✱ ❉✳✱ ❛♥❞ ▲❧✐♥❛s✱ ❏✳ ✭✷✵✵✶✮✳ ❍❛♥❞❜♦♦❦ ♦❢ ▼✉❧t✐s❡♥s♦r ❉❛t❛ ❋✉s✐♦♥✱ ❈❘❈ Pr❡ss✱ ❇♦❝❛ ❘❛t♦♥✱ ❋▲✳ ❍❛♥❞s❝❤✐♥✱ ❏✳✱ ❛♥❞ ▼❛②♥❡✱ ❉✳ ✭✶✾✻✾✮✳ ✏▼♦♥t❡ ❈❛r❧♦ t❡❝❤♥✐q✉❡ t♦ ❡st✐♠❛t❡ t❤❡ ❝♦♥❞✐t✐♦♥❛❧ ❡①♣❡❝t❛t✐♦♥ ✐♥ ♠✉❧t✐✲st❛❣❡ ♥♦♥❧✐♥❡❛r ✜❧t❡r✐♥❣✱✑ ❏♦✉r♥❛❧ ♦❢ ❈♦♥tr♦❧✱ ■♥t❡r♥❛t✐♦♥❛❧ ✾✭✺✮✿✺✹✼✕✺✺✾✳ ❍❛rt✐❣❛♥✱ ❏✳ ❛♥❞ ❲❛♥❣✱ ▼✳ ✭✶✾✼✾✮✳ ✏❆ ❑✲♠❡❛♥s ❝❧✉st❡r✐♥❣ ❛❧❣♦r✐t❤♠✱✑ ❙t❛t✐st✐❝s✱ ❱♦❧✳ ✷✽✱ ♣♣✳ ✶✵✵✕✶✵✽✳ ❆♣♣❧✐❡❞ ❘❡❢❡r❡♥❝❡s ❍❡❝❦❡r♠❛♥✱ ❉✳ ❊✳ ✭✶✾✾✻✮✳ ✏❆ t✉t♦r✐❛❧ ♦♥ ❧❡❛r♥✐♥❣ ❇❛②❡s✐❛♥ ♥❡t✇♦r❦s✱✑ ♥✐❝❛❧ ❘❡♣♦rt✿ ▼❙❘✲❚❘✲✾✺✲✵✻✱ ✹✻✾ ❚❡❝❤✲ ▼✐❝r♦s♦❢t ❈♦r♣♦r❛t✐♦♥✱ ❘❡❞♠♦♥❞✱ ❲❆✳ ❍❡❝❦❡r♠❛♥✱ ❉✳ ❊✳✱ ●❡✐❣❡r✱ ❉✳✱ ❛♥❞ ❈❤✐❝❦❡r✐♥❣✱ ❉✳ ▼✳ ✭✶✾✾✺✮✳ ✏▲❡❛r♥✐♥❣ ❇❛②❡s✐❛♥ ♥❡t✇♦r❦s✿ ❚❤❡ ❝♦♠❜✐♥❛t✐♦♥ ♦❢ ❦♥♦✇❧❡❞❣❡ ❛♥❞ st❛t✐st✐❝❛❧ ❞❛t❛✱✑ ▼❛❝❤✐♥❡ ▲❡❛r♥✐♥❣✱ ✷✵✭✸✮✳ ❍❡❝❦❡r♠❛♥✱ ❉✳ ❊✳✱ ❛♥❞ ❙❤♦rt❧✐✛❡✱ ❊✳ ❍✳ ✭✶✾✾✷✮✳ ✏❋r♦♠ ❝❡rt❛✐♥t② ❢❛❝t♦rs t♦ ❜❡❧✐❡❢ ♥❡t✇♦r❦s✱✑ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✐♥ ▼❡❞✐❝✐♥❡✱ ✹✿✸✺✕✺✷✳ k ✲◆❡❛r❡st✲◆❡✐❣❤❜♦r ❝❧❛ss✐✜❡r ❢♦r ❛ss❡ss✲ ❚❤❡ ❙t❛t✐st✐❝✐❛♥✱ ❱♦❧✳ ✹✺✱ ■ss✉❡ ✶✱ ♣♣✳ ✼✼✕✾✺✳ ❍❡♥❧❡②✱ ❲✳ ❛♥❞ ❍❛♥❞ ❉✳ ✭✶✾✾✻✮✳ ✏❚❤❡ ✐♥❣ ❝♦♥s✉♠❡r ❝r❡❞✐t r✐s❦✱✑ ❍❡rs❦♦✈✐ts✱ ❊✳✱ ❛♥❞ ❈♦♦♣❡r✱ ●✳ ✭✶✾✾✵✮✳ ✏❑✉t❛t♦✿ ❆♥ ❡♥tr♦♣②✲❞r✐✈❡♥ s②st❡♠ ❢♦r Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✻t❤ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐✲ ❣❡♥❝❡ ✭❯❆■ ✮✱ ❈❛♠❜r✐❞❣❡✱ ▼❆✳ ❝♦♥str✉❝t✐♦♥ ♦❢ ♣r♦❜❛❜✐❧✐st✐❝ ❡①♣❡rt s②st❡♠s ❢r♦♠ ❞❛t❛❜❛s❡s✱✑ ❍✐♥t✐❦❦❛✱ ❏✳ ✭✶✾✻✷✮✳ ❚✇♦ ◆♦t✐♦♥s✱ ❑♥♦✇❧❡❞❣❡ ❛♥❞ ❇❡❧✐❡❢✿ ❆♥ ■♥tr♦❞✉❝t✐♦♥ t♦ t❤❡ ▲♦❣✐❝ ♦❢ t❤❡ ❈♦r♥❡❧❧ ❯♥✐✈❡rs✐t② Pr❡ss✱ ◆❨✳ ❍♦❞❣❡✱ ❱✳ ❛♥❞ ❆✉st✐♥✱ ❏✳ ✭✷✵✵✹✮✳ ✏❆ s✉r✈❡② ♦❢ ♦✉t❧✐❡r ❞❡t❡❝t✐♦♥ ♠❡t❤♦❞♦❧♦❣✐❡s✱✑ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ❘❡✈✐❡✇✱ ❱♦❧✳ ✷✷✱ ◆♦✳ ✷✱ ♣♣✳ ✽✺✕✶✷✻✳ ❍♦❢♠❛♥♥ ❚✳ ✭✶✾✾✾✮✳ ✏Pr♦❜❛❜✐❧✐st✐❝ ▲❛t❡♥t ❙❡♠❛♥t✐❝ ❆♥❛❧②s✐s✱✑ t❤❡ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ Pr♦❝❡❡❞✐♥❣s ♦❢ ✭❯❆■✮✱ ❙t♦❝❦✲ ❤♦❧♠✳ ❍♦❥s❣❛❛r❞✱ ❙✳✱ ❛♥❞ ❚❤✐❡ss♦♥✱ ❇✳ ✭✶✾✾✺✮✳ ✏❇■❋❘❖❙❚✿ ❇❧♦❝❦ r❡❝✉rs✐✈❡ ♠♦❞❡❧s ✐♥✲ ❞✉❝❡❞ ❢r♦♠ r❡❧❡✈❛♥t ❦♥♦✇❧❡❞❣❡✱ ♦❜s❡r✈❛t✐♦♥s✱ ❛♥❞ st❛t✐st✐❝❛❧ t❡❝❤♥✐q✉❡s✱✑ ❈♦♠♣✉t❛t✐♦♥❛❧ ❙t❛t✐st✐❝s ❛♥❞ ❉❛t❛ ❆♥❛❧②s✐s✱ ✶✾✿✶✺✺✕✶✼✺✳ ❍♦r♥✐❦✱ ❑✳✱ ❙t✐♥❝❤❝♦♠❜❡✱ ▼✱ ❛♥❞ ❲❤✐t❡✱ ❍✳ ✭✶✾✾✵✮✳ ✏❯♥✐✈❡rs❛❧ ❛♣♣r♦①✐♠❛t✐♦♥ ♦❢ ❛♥ ✉♥❦♥♦✇♥ ♠❛♣♣✐♥❣ ❛♥❞ ✐ts ❞❡r✐✈❛t✐✈❡ ✉s✐♥❣ ♠✉❧t✐❧❛②❡r ❢❡❡❞ ❢♦r✇❛r❞ ♥❡t✇♦r❦s✱✑ ◆❡✉r❛❧ ◆❡t✇♦r❦s✱ ❱♦❧✳ ✸✱ ◆♦✳ ✺✱ ♣♣✳ ✺✺✶✲✺✻✵✳ ❍♦s♠❡r✱ ❉✳✱ ▲❡♠❡s❤♦✇✱ ❙✳✱ ❛♥❞ ▼❛②✱ ❙✳ ✭✷✵✵✽✮✳ ❘❡❣r❡ss✐♦♥ ▼♦❞❡❧✐♥❣ ♦❢ ❚✐♠❡ t♦ ❊✈❡♥t ❉❛t❛✱ ❆♣♣❧✐❡❞ ❙✉r✈✐✈❛❧ ❆♥❛❧②s✐s✿ ❲✐❧❡②✲■♥t❡rs❝✐❡♥❝❡✳ ❍♦✇❛r❞✱ ❘✳ ❆✳✱ ❛♥❞ ▼❛t❤❡s♦♥✱ ❏✳ ❊✳ ✭✶✾✽✶✮✳ ✏■♥✢✉❡♥❝❡ ❞✐❛❣r❛♠s✱✑ t❤❡ Pr✐♥❝✐♣❧❡s ❛♥❞ ❆♣♣❧✐❝❛t✐♦♥s ♦❢ ❉❡❝✐s✐♦♥ ❆♥❛❧②s✐s✱ ❘❡❛❞✐♥❣s ♦♥ ✼✷✶✕✼✻✷✱ ❙tr❛t❡❣✐❝ ❉❡❝✐s✐♦♥s ●r♦✉♣✱ ▼❡♥❧♦ P❛r❦✱ ❈❆✳ ❍s✉✱ ❈✲❲✳✱ ❈❤❛♥❣✱ ❈✲❈✳✱ ❛♥❞ ▲✐♥✱ ❈✲❏✳ ✭✷✵✶✵✮✳ ✏❆ Pr❛❝t✐❝❛❧ ●✉✐❞❡ t♦ ❙✉♣♣♦rt ❱❡❝t♦r ❈❧❛ss✐✜❝❛t✐♦♥✱✑ ❤tt♣✿✴✴✇✇✇✳❝s✐❡✳♥t✉✳❡❞✉✳t✇✴⑦❝❥❧✐♥✳ ❍✉❛♥❣✱ ❈✳✱ ❛♥❞ ❉❛r✇✐❝❤❡✱ ❆✳ ✭✶✾✾✻✮✳ ✏■♥❢❡r❡♥❝❡ ✐♥ ❇❡❧✐❡❢ ◆❡t✇♦r❦s✿ ❆ ♣r♦❝❡❞✉✲ r❛❧ ❣✉✐❞❡✱✑ ■♥t❡r♥❛t✐♦♥❛❧ ❏♦✉r♥❛❧ ♦❢ ❆♣♣r♦①✐♠❛t❡ ❘❡❛s♦♥✐♥❣✱ ✶✺✭✸✮✿✷✷✺✕ ✷✻✸✳ ❍✉❣❤❡s✱ ●✳ ❊✳✱ ❛♥❞ ❈r❡ss✇❡❧❧✱ ▼✳ ❏✳ ✭✶✾✾✻✮✳ ▲♦❣✐❝✱ ❆ ◆❡✇ ■♥tr♦❞✉❝t✐♦♥ t♦ ▼♦❞❛❧ ❘♦✉t❧❡❞❣❡✱ ▲♦♥❞♦♥✳ ■s❛r❞✱ ▼✳✱ ❛♥❞ ❇❧❛❦❡✱ ❆✳ ✭✶✾✾✽✮✳ ✏❈♦♥❞❡♥s❛t✐♦♥ ✕ ❈♦♥❞✐t✐♦♥❛❧ ❞❡♥s✐t② ♣r♦♣✲ ✹✼✵ ❘❡❢❡r❡♥❝❡s ❛❣❛t✐♦♥ ❢♦r ✈✐s✉❛❧ tr❛❝❦✐♥❣✱✑ ■♥t❡r♥❛t✐♦♥❛❧ ❏♦✉r♥❛❧ ♦❢ ❈♦♠♣✉t❡r ❱✐s✐♦♥✱ ✷✾✿✺✕✷✽✳ ❏❛❝❦s♦♥✱ P✳ ✭✶✾✾✽✮✳ ■♥tr♦❞✉❝t✐♦♥ t♦ ❊①♣❡rt ❙②st❡♠s✱ ❆❞❞✐s♦♥✲❲❡s❧❡②✱ ❲♦❦✐♥❣✲ ❤❛♠✱ ❊♥❣❧❛♥❞✳ ❏❛✐♥✱ ❆✳ ❛♥❞ ❉✉❜❡s✱ ❘ ✭✶✾✽✽✮✳ ❆❧❣♦r✐t❤♠s ❢♦r ❈❧✉st❡r✐♥❣ ❉❛t❛✱ Pr❡♥t✐❝❡ ❍❛❧❧✱ ◆❏✳ ❏❛✐♥✱ ❆✳✱ ▼✉rt❤②✱ ▼✳✱ ❛♥❞ ❋❧②♥♥✱ P✳ ✭✶✾✾✾✮✳ ✏❉❛t❛ ❝❧✉st❡r✐♥❣✿ ❆ r❡✈✐❡✇✱✑ ❈♦♠♣✉t✐♥❣ ❙✉r✈❡②s✱ ❆❈▼ ✸✶✭✸✮✿✷✻✹✕✸✷✸✳ ❏❡✛r❡②s✱ ❍✳ ✭✶✾✹✻✮✳ ✏❆♥ ✐♥✈❛r✐❛♥t ❢♦r♠ ❢♦r t❤❡ ♣r✐♦r ♣r♦❜❛❜✐❧✐t② ✐♥ ❡st✐♠❛t✐♦♥ ♣r♦❜❧❡♠s✱✑ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ❘♦②❛❧ ❙♦❝✐❡t② ♦❢ ▲♦♥❞♦♥✱ ❙❡r✐❡s ❆✱ ▼❛t❤❡✲ ♠❛t✐❝❛❧ ❛♥❞ P❤②s✐❝❛❧ ❙❝✐❡♥❝❡s✱ ❱♦❧✳ ✶✽✻✱ ♣♣✳ ✹✺✸✕✹✻✶✳ ❏❡✛r❡②s✱ ❍✳ ✭✶✾✻✶✮✱ ❚❤❡♦r② ♦❢ Pr♦❜❛❜✐❧✐t②✱ ❖①❢♦r❞ ❯♥✐✈❡rs✐t② Pr❡ss✳ ❏❡♥s❡♥✱ ❋✳ ❱✳✱ ▲❛✉r✐t③❡♥✱ ❙✳ ▲✳✱ ❛♥❞ ❖❧❡s❡♥✳ ❑✳ ●✳ ✭✶✾✾✵✮✳ ✏❇❛②❡s✐❛♥ ✉♣❞❛t✐♥❣ ✐♥ ❝❛✉s❛❧ ♣r♦❜❛❜✐❧✐st✐❝ ♥❡t✇♦r❦s ❜② ❧♦❝❛❧ ❝♦♠♣✉t❛t✐♦♥s✱✑ ❙t❛t✐st✐❝s✱ ❈♦♠♣✉t❛t✐♦♥❛❧ ◗✳ ✹✱ ✷✻✾✕✷✽✷✳ ❏❡♥s❡♥✱ ❋✳✱ ❏❡♥s❡♥✱ ❋✳ ❱✳✱ ❛♥❞ ❉✐tt♠❡r✱ ❙✳ ▲✳ ✭✶✾✾✹✮✳ ✏❋r♦♠ ✐♥✢✉❡♥❝❡ ❞✐❛❣r❛♠s Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✶✵t❤ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭❯❆■ ✮✱ ❙❡❛tt❧❡✱ ❲❆✳ t♦ ❥✉♥❝t✐♦♥ tr❡❡s✱✑ ❏❡♥s❡♥✱ ❋✳ ❱✳ ✭✶✾✾✻✮✳ ❆♥ ■♥tr♦❞✉❝t✐♦♥ t♦ ❇❛②❡s✐❛♥ ◆❡t✇♦r❦s✱ ❙♣r✐♥❣❡r✲❱❡r❧❛❣✱ ◆❨✳ ❏❡♥s❡♥✱ ❋✳ ❱✳ ✭✷✵✵✷✮✳ ❇❛②❡s✐❛♥ ◆❡t✇♦r❦s ❛♥❞ ❉❡❝✐s✐♦♥ ●r❛♣❤s✱ ❙♣r✐♥❣❡r✲ ❱❡r❧❛❣✱ ◆❨✳ ❏♦❤♥s♦♥✱ ❙✳ ✭✶✾✻✼✮✳ ✏❍✐❡r❛r❝❤✐❝❛❧ ❈❧✉st❡r✐♥❣ ❙❝❤❡♠❡s✱✑ Ps②❝❤♦♠❡tr✐❦❛✱ ❱♦❧✳ ✸✷✱ ♣♣✳ ✷✹✶✕✷✺✹✳ ❏✉❧✐❡r✱ ❙✳ ❏✳✱ ❛♥❞ ❏✳ ❑✳ ❯❤❧♠❛♥♥✳ ✭✶✾✾✼✮✳ ✏❆ ♥❡✇ ❡①t❡♥s✐♦♥ ♦❢ t❤❡ ❑❛❧♠❛♥ ✜❧t❡r Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✶✶t❤ ■♥t❡r♥❛t✐♦♥❛❧ ❙②♠♣♦s✐✉♠ ♦♥ ❆❡r♦s♣❛❝❡✴❉❡❢❡♥s❡ ❙❡♥s✐♥❣✱ ❙✐♠✉❧❛t✐♦♥ ❛♥❞ ❈♦♥tr♦❧s✱ ▼✉❧t✐ ❙❡♥s♦r t♦ ♥♦♥❧✐♥❡❛r s②st❡♠s✱✑ ❋✉s✐♦♥✱ ❚r❛❝❦✐♥❣ ❛♥❞ ❘❡s♦✉r❝❡ ▼❛♥❛❣❡♠❡♥t ■■✱ ❙P■❊✳ ❏✉♥❣✱ ❙✳ ❛♥❞ ❑✐♠✱ ❚✲❙✳ ✭✷✵✵✶✮✳ ✏❆♥ ❛❣❣❧♦♠❡r❛t✐✈❡ ❤✐❡r❛r❝❤✐❝❛❧ ❝❧✉st❡r✐♥❣ ✉s✐♥❣ ♣❛rt✐❛❧ ♠❛①✐♠✉♠ ❛rr❛② ❛♥❞ ✐♥❝r❡♠❡♥t❛❧ s✐♠✐❧❛r✐t② ❝♦♠♣✉t❛t✐♦♥ ♠❡t❤♦❞✱✑ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ■❊❊❊ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❉❛t❛ ▼✐♥✐♥❣✱ ♣♣✳ ✷✻✺✕✷✼✷✳ ❑❛❧♠❛♥✱ ❘✳ ✭✶✾✻✵✮✳ ✏❆ ♥❡✇ ❛♣♣r♦❛❝❤ t♦ ❧✐♥❡❛r ✜❧t❡r✐♥❣ ❛♥❞ ♣r❡❞✐❝t✐♦♥ ♣r♦❜✲ ❧❡♠s✱✑ ❏♦✉r♥❛❧ ♦❢ ❇❛s✐❝ ❊♥❣✐♥❡❡r✐♥❣✱ ✽✷✿✸✺✕✹✺✳ ❑❛♥❛③❛✇❛✱ ❑✳✱ ❑♦❧❧❡r✱ ❉✳✱ ❛♥❞ ❘✉ss❡❧❧✱ ❙✳ ✭✶✾✾✺✮✳ ✏❙t♦❝❤❛st✐❝ s✐♠✉❧❛t✐♦♥ ❛❧✲ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✶✶t❤ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭❯❆■✮✱ ▼♦♥tr❡❛❧✱ ❣♦r✐t❤♠s ❢♦r ❞②♥❛♠✐❝ ♣r♦❜❛❜✐❧✐st✐❝ ♥❡t✇♦r❦s✱✑ ❈❛♥❛❞❛✳ ❑❛♥❥✐❧❛❧✱ P✳✱ ❉❛s✱ ❙✳✱ ❛♥❞ ▲❛✇❧❡ss✱ ❉✳ ✭✷✵✵✼✮✳ ✏❙♣❛t✐♦t❡♠♣♦r❛❧ ❝❧✉st❡r✐♥❣ ❢r♦♠ ✹✼✶ ❘❡❢❡r❡♥❝❡s ♥♦✐s② ❞❛t❛✱✑ ❘❡❛s♦♥✐♥❣✱ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ■❏❈❆■ ❲♦r❦s❤♦♣ ♦♥ ❙♣❛t✐❛❧ ❛♥❞ ❚❡♠♣♦r❛❧ ❍②❞❡r❛❜❛❞✱ ■♥❞✐❛✳ ❑❛♣❧❛♥✱ ▲✳ ❛♥❞ ▼❡✐❡r✱ P✳ ✭✶✾✺✽✮✳ ✏◆♦♥♣❛r❛♠❡tr✐❝ ❡st✐♠❛t✐♦♥ ❢r♦♠ ✐♥❝♦♠♣❧❡t❡ ♦❜s❡r✈❛t✐♦♥s✱✑ ❏♦✉r♥❛❧ ♦❢ ❆♠❡r✐❝❛♥ ❙t❛t✐st✐❝❛❧ ❆ss♦❝✐❛t✐♦♥✱ ❱♦❧✳ ✺✸✱ ♣♣✳ ✹✺✼✕✹✽✶✳ ❑❛r♣✱ ❘✳ ✭✶✾✼✷✮✳ ✏❘❡❞✉❝✐❜✐❧✐t② ❛♠♦♥❣ ❝♦♠❜✐♥❛t♦r✐❛❧ ♣r♦❜❧❡♠s✱✑ ❈♦♠♣✉t❡r ❈♦♠♣✉t❛t✐♦♥s✱ ❈♦♠♣❧❡①✐t② ♦❢ ✽✺−✶✵✸✱ P❧❡♥✉♠ Pr❡ss✱ ◆❨✳ ❑✐r❦✱ ❏✳ ✭✷✵✵✻✮✳ ✏❆♥❛❧②t✐❝s ❜✉③③✇♦r❞ ♥❡❡❞s ❝❛r❡❢✉❧ ❞❡✜♥✐t✐♦♥✱✑ ■♥❢♦❲♦r❧❞✳ ❆❧s♦ ❛✈❛✐❧❛❜❧❡ ❛t✿ ❤tt♣✿✴✴✇✇✇✳✐♥❢♦✇♦r❧❞✳❝♦♠✴t✴❞❛t❛✲♠❛♥❛❣❡♠❡♥t✴❛♥❛❧②t✐❝s✲ ❜✉③③✇♦r❞✲ ♥❡❡❞s✲❝❛r❡❢✉❧✲❞❡✜♥✐t✐♦♥✲✺✻✼ ❑❧❡✐♥❜❛✉♠✱ ❉✳ ❛♥❞ ❑❧❡✐♥✱ ▼✳ ✭✷✵✵✺✮✳ ❙✉r✈✐✈❛❧ ❆♥❛❧②s✐s✿ ❆ ❙❡❧❢✲▲❡❛r♥✐♥❣ ❚❡①t✱ ❙♣r✐♥❣❡r✲❱❡r❧❛❣✱ ◆❡✇ ❨♦r❦✳ ❑❧❡✐♥❜❛✉♠✱ ❉✳✱ ❑✉♣♣❡r✱ ▲✳✱ ◆✐③❛♠✱ ❆✳✱ ❛♥❞ ▼✉❧❧❡r✱ ❑✳ ✭✷✵✵✼✮✳ ❣r❡ss✐♦♥ ❆♥❛❧②s✐s ❛♥❞ ❖t❤❡r ▼✉❧t✐✈❛r✐❛❜❧❡ ▼❡t❤♦❞s✱ ❑❧✐r✱ ●✳ ❏✳✱ ❛♥❞ ❨✉❛♥✱ ❇✳ ✭✶✾✾✺✮✳ ❆♣♣❧✐❝❛t✐♦♥s✱ ❆♣♣❧✐❡❞ ❘❡✲ ❉✉①❜✉r② Pr❡ss✳ ❋✉③③② ❙❡ts ❛♥❞ ❋✉③③② ▲♦❣✐❝✿ ❚❤❡♦r② ❛♥❞ Pr❡♥t✐❝❡ ❍❛❧❧✱ ❯♣♣❡r ❙❛❞❞❧❡ ❘✐✈❡r✱ ◆❏✳ ❑♦❧♠♦❣♦r♦✈✱ ❆✳ ✭✶✾✺✼✮✳ ✏❖♥ t❤❡ r❡♣r❡s❡♥t❛t✐♦♥ ♦❢ ❝♦♥t✐♥✉♦✉s ❢✉♥❝t✐♦♥s ♦❢ s❡✈✲ ❡r❛❧ ✈❛r✐❛❜❧❡s ❜② s✉♣❡r♣♦s✐t✐♦♥s ♦❢ ❝♦♥t✐♥✉♦✉s ❢✉♥❝t✐♦♥s ♦❢ ♦♥❡ ✈❛r✐❛❜❧❡ ❛♥❞ ❛❞❞✐t✐♦♥✱✑ ❉♦❦❧❛❞②✱ ❱♦❧✳ ✶✶✹✱ ♣♣✳ ✻✼✾✕✻✽✶✳ ❑♦♥❣✱ ❆✳✱ ▲✐✉✱ ❏✳ ❙✳✱ ❛♥❞ ❲♦♥❣✱ ❲✳ ❍✳ ✭✶✾✾✹✮✳ ✏❙❡q✉❡♥t✐❛❧ ✐♠♣✉t❛t✐♦♥ ♠❡t❤♦❞ ❛♥❞ ❇❛②❡s✐❛♥ ♠✐ss✐♥❣ ❞❛t❛ ♣r♦❜❧❡♠s✱✑ ❆ss♦❝✐❛t✐♦♥✱ ❑♦✇❛❧s❦✐✱ ❘✳ ❆✳ ✭✶✾✼✾✮✳ ✏❆❧❣♦r✐t❤♠ t❤❡ ❆❈▼✱ ❏♦✉r♥❛❧ ♦❢ t❤❡ ❆♠❡r✐❝❛♥ ❙t❛t✐st✐❝❛❧ ✽✾✿✷✼✽✕✷✽✽✳ = ▲♦❣✐❝ + ❈♦♥tr♦❧✱✑ ❈♦♠♠✉♥✐❝❛t✐♦♥s ♦❢ ✷✷✭✼✮✿✹✷✹−✹✸✺✳ ❑r❛✉s❡✱ P✳ ✭✶✾✾✽✮✳ ✏▲❡❛r♥✐♥❣ ♣r♦❜❛❜✐❧✐st✐❝ ♥❡t✇♦r❦s✱✑ ♥❡❡r✐♥❣ ❘❡✈✐❡✇✱ ❚❤❡ ❑♥♦✇❧❡❞❣❡ ❊♥❣✐✲ ✶✸✿✸✷✶✕✸✺✶✳ ❑r✐♣❦❡✱ ❙✳ ❆✳ ✭✶✾✻✸✮✳ ✏❙❡♠❛♥t✐❝❛❧ ❛♥❛❧②s✐s ♦❢ ♠♦❞❛❧ ❧♦❣✐❝ ■✿ ◆♦r♠❛❧ ♠♦❞❛❧ ❩❡✐ts❝❤r✐❢t ❢✉r ▼❛t❤❡♠❛t✐s❝❤❡ ▲♦❣✐❦ ✉♥❞ ●r✉♥❞✲ ❧❛❞❡♥ ❞❡r ▼❛t❤❡♠❛t✐❦ ✭❩▼▲●▼ ✮✱ ✾✿✻✼✕✾✻✳ ♣r♦♣♦s✐t✐♦♥❛❧ ❝❛❧❝✉❧✐✱✑ ▲❛♠✱ ❲✳✱ ❛♥❞ ❇❛❝❝❤✉s✱ ❋✳ ✭✶✾✾✹✮✳ ✏▲❡❛r♥✐♥❣ ❇❛②❡s✐❛♥ ❇❡❧✐❡❢ ◆❡t✇♦r❦s✿ ❆♥ ❛♣✲ ♣r♦❛❝❤ ❜❛s❡❞ ♦♥ t❤❡ ▼❉▲ ♣r✐♥❝✐♣❧❡✱✑ ❈♦♠♣✉t❛t✐♦♥❛❧ ■♥t❡❧❧✐❣❡♥❝❡✱ ✶✵✭✹✮✳ ▲❛✉r✐t③❡♥✱ ❙✳ ✭✶✾✾✺✮✳ ✏❚❤❡ ❊▼ ❛❧❣♦r✐t❤♠ ❢♦r ❣r❛♣❤✐❝❛❧ ❛ss♦❝✐❛t✐♦♥ ♠♦❞❡❧s ✇✐t❤ ♠✐ss✐♥❣ ❞❛t❛✱✑ ❈♦♠♣✉t❛t✐♦♥❛❧ ❙t❛t✐st✐❝s ❛♥❞ ❉❛t❛ ❆♥❛❧②s✐s✱ ✶✾✿✶✾✶✕✷✵✶✳ ▲❛✉r✐t③❡♥✱ ❙✳✱ ❛♥❞ ❙♣✐❡❣❡❧❤❛❧t❡r✱ ❉✳ ✭✶✾✽✽✮✳ ✏▲♦❝❛❧ ❝♦♠♣✉t❛t✐♦♥s ✇✐t❤ ♣r♦❜❛✲ ❜✐❧✐t✐❡s ♦♥ ❣r❛♣❤✐❝❛❧ str✉❝t✉r❡s ❛♥❞ t❤❡✐r ❛♣♣❧✐❝❛t✐♦♥s t♦ ❡①♣❡rts s②st❡♠s✱✑ ❏♦✉r♥❛❧ ♦❢ ❘♦②❛❧ ❙t❛t✐st✐❝❛❧ ❙♦❝✐❡t② ❇✱ ▲❡❛❦❡✱ ❉✳ ❇✳ ✭❡❞✳✮✳ ✭✶✾✾✻✮✳ ❋✉t✉r❡ ❉✐r❡❝t✐♦♥s✱ ✺✵✭✷✮✿✶✺✹✕✷✷✼✳ ❈❛s❡✲❇❛s❡❞ ❘❡❛s♦♥✐♥❣✿ ❊①♣❡r✐❡♥❝❡s✱ ▲❡ss♦♥s✱ ❛♥❞ ❆❆❆■ Pr❡ss✴▼■❚ Pr❡ss✱ ❈❛♠❜r✐❞❣❡✱ ▼❆✳ ▲❡♠♠♦♥✱ ❊✳ ❏✳ ✭✶✾✼✼✮✳ ✏ ❆♥ ✐♥tr♦❞✉❝t✐♦♥ t♦ ♠♦❞❛❧ ❧♦❣✐❝✱✑ ❆♠❡r✐❝❛♥ P❤✐❧♦s♦♣❤✐✲ ✹✼✷ ❘❡❢❡r❡♥❝❡s ❝❛❧ ◗✉❛rt❡r❧②✱ ▼♦♥♦❣r❛♣❤ ◆♦✳ ✶✶✱ ❯♥✐✈❡rs✐t② ♦❢ ■❧❧✐♥♦✐s Pr❡ss✱ ❈❤❛♠♣❛✐❣♥✱ ■▲✳ ▲❡r♥❡r✱ ❯✳✱ ❙❡❣❛❧✱ ❊✳✱ ❛♥❞ ❑♦❧❧❡r✱ ❉✳ ✭✷✵✵✶✮✳ ✏❊①❛❝t ✐♥❢❡r❡♥❝❡ ✐♥ ♥❡t✇♦r❦s ✇✐t❤ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✶✼t❤ ❆♥♥✉❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭❯❆■ ✮✱ ❙❡❛tt❧❡✱ ❲❆✳ ❞✐s❝r❡t❡ ❝❤✐❧❞r❡♥ ♦❢ ❝♦♥t✐♥✉♦✉s ♣❛r❡♥ts✱✑ ▲❧♦②❞✱ ❏✳ ❲✳ ✭✶✾✽✼✮✳ ❋♦✉♥❞❛t✐♦♥s ♦❢ ▲♦❣✐❝ Pr♦❣r❛♠♠✐♥❣✱ ✷♥❞ ❡❞✐t✐♦♥✱ ❙♣r✐♥❣❡r✲ ❱❡r❧❛❣✱ ❇❡r❧✐♥✱ ●❡r♠❛♥②✳ ▲❧✐♥❛s✱ ❏✳✱ ❇♦✇♠❛♥✱ ❈✳✱ ❘♦❣♦✈❛✱ ●✳✱ ❙t❡✐♥❜❡r❣✱ ❆✳✱ ❲❛❧t③✱ ❊✳✱ ❛♥❞ ❲❤✐t❡✱ ❋✳ ✭✷✵✵✹✮✳ ✏❘❡✈✐s✐t✐♥❣ t❤❡ ❏❉▲ ❞❛t❛ ❢✉s✐♦♥ ♠♦❞❡❧ ■■✱✑ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ■♥❢♦r♠❛t✐♦♥ ❋✉s✐♦♥✱ ❾✉❦❛s✐❡✇✐❝③✱ ❏✳ ✭✶✾✼✵✮✳ ❙❡❧❡❝t❡❞ ❲♦r❦s Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✼t❤ ❙✇❡❞❡♥✳ ✭❡❞✳✿ ▲✳ ❇♦r❦♦✇s❦✐✮✱ ◆♦rt❤✲❍♦❧❧❛♥❞ P✉❜❧✐❝❛t✐♦♥ ❈♦♠♣❛♥②✱ ❆♠st❡r❞❛♠ ❛♥❞ P❲◆✱ ❲❛rs❛✇✳ ▼❝❈❛rt❤②✱ ❏✳ ✭✶✾✽✵✮✳ ✏❈✐r❝✉♠s❝r✐♣t✐♦♥✿ ❆ ❢♦r♠ ♦❢ ♥♦♥♠♦♥♦t♦♥✐❝ r❡❛s♦♥✐♥❣✱✑ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡✱ ▼❡♥❞❡❧s♦♥✱ ❊✳ ✭✶✾✽✼✮✳ ✶✸✿✷✼−✸✾✳ ■♥tr♦❞✉❝t✐♦♥ t♦ ▼❛t❤❡♠❛t✐❝❛❧ ▲♦❣✐❝✱ ❲❛❞s✇♦rt❤ ✫ ❇r♦♦❦s✴❈♦❧❡ ❆❞✈❛♥❝❡❞ ❇♦♦❦s ❛♥❞ ❙♦❢t✇❛r❡✱ P❛❝✐✜❝ ●r♦✈❡✱ ❈❆✳ ▼❡②❡r✱ ❏✳✲❏✳ ❈❤✳✱ ❛♥❞ ✈❛♥ ❞❡r ❍♦❡❦✱ ❲✳ ✭✶✾✾✺✮✳ ✏❊♣✐st❡♠✐❝ ❧♦❣✐❝ ❢♦r ❆■ ❛♥❞ ❝♦♠♣✉t❡r s❝✐❡♥❝❡✱✑ ❈❛♠❜r✐❞❣❡ ❚r❛❝ts ✐♥ ❚❤❡♦r❡t✐❝❛❧ ❈♦♠♣✉t❡r ❙❝✐❡♥❝❡✱ ✹✶✱ ❈❛♠❜r✐❞❣❡ ❯♥✐✈❡rs✐t② Pr❡ss✱ ❈❛♠❜r✐❞❣❡✱ ❊♥❣❧❛♥❞✳ ▼✐t❝❤❡❧❧✱ ❚✳ ✭✶✾✾✼✮✳ ▼❛❝❤✐♥❡ ▲❡❛r♥✐♥❣✳ ▼❝●r❛✇✲❍✐❧❧✱ ◆❨✳ ▼♦t✐❦✱ ❇✳✱ ❍♦rr♦❝❦s✱ ■✳✱ ❛♥❞ ❙❛tt❧❡r✱ ❯✳ ✭✷✵✵✼✮✳ ✏❇r✐❞❣✐♥❣ t❤❡ ●❛♣ ❇❡t✇❡❡♥ ❖❲▲ ❛♥❞ ❘❡❧❛t✐♦♥❛❧ ❉❛t❛❜❛s❡s✱✑ ▼✉r♣❤②✱ ❑✳ ✭✷✵✵✷✮✳ ❛♥❞ ▲❡❛r♥✐♥❣✱ ❲❲❲ ❈♦♥❢❡r❡♥❝❡✳ ❉②♥❛♠✐❝ ❇❛②❡s✐❛♥ ◆❡t✇♦r❦s✿ ❘❡♣r❡s❡♥t❛t✐♦♥✱ ■♥❢❡r❡♥❝❡ P❤✳❉✳ t❤❡s✐s✱ ❯♥✐✈❡rs✐t② ♦❢ ❈❛❧✐❢♦r♥✐❛✱ ❇❡r❦❡❧❡②✳ ◆❛r❞✐✱ ❉✳ ❛♥❞ ❇r❛❝❤♠❛♥✱ ❘✳ ✭✷✵✵✷✮✳ ✏❆♥ ■♥tr♦❞✉❝t✐♦♥ t♦ ❉❡s❝r✐♣t✐♦♥ ▲♦❣✐❝s✱✑ ❤tt♣✿✴✴✇✇✇✳✐♥❢✳✉♥✐❜③✳✐t✴⑦❢r❛♥❝♦♥✐✴❞❧✴❝♦✉rs❡✴❞❧❤❜✴❞❧❤❜✲✵✶✳♣❞❢ ◆❡❛❧✱ ❘✳ ✭✶✾✾✸✮✳ ✏Pr♦❜❛❜✐❧✐st✐❝ ■♥❢❡r❡♥❝❡ ❯s✐♥❣ ▼❛r❦♦✈ ❈❤❛✐♥ ▼♦♥t❡ ❈❛r❧♦ ▼❡t❤♦❞s✱✑ ❚❡❝❤♥✐❝❛❧ ❘❡♣♦rt ❈❘●✲❚❘✲✾✸✲✶✱ ❉❡♣❛rt♠❡♥t ♦❢ ❈♦♠♣✉t❡r ❙❝✐❡♥❝❡✱ ❯♥✐✈❡rs✐t② ♦❢ ❚♦r♦♥t♦✳ ◆❡❛♣♦❧✐t❛♥✱ ❘✳ ❊✳ ✭✷✵✵✸✮✳ ▲❡❛r♥✐♥❣ ❇❛②❡s✐❛♥ ◆❡t✇♦r❦s✱ Pr❡♥t✐❝❡ ❍❛❧❧✱ ❯♣♣❡r ❙❛❞❞❧❡ ❘✐✈❡r✱ ◆❏✳ ◆✐❣❛♠✱ ❑✳✱ ▼❝❈❛❧❧✉♠✱ ❆✳✱ ❚❤✉r♥✱ ❙✳✱ ❛♥❞ ▼✐t❝❤❡❧❧✱ ❚✳ ✭✷✵✵✵✮✳ ✏❚❡①t ❝❧❛s✲ s✐✜❝❛t✐♦♥ ❢r♦♠ ❧❛❜❡❧❡❞ ❛♥❞ ✉♥❧❛❜❡❧❡❞ ❞♦❝✉♠❡♥ts ✉s✐♥❣ ❊▼✱✑ ▲❡❛r♥✐♥❣✱ ▼❛❝❤✐♥❡ ❱♦❧✳ ✸✾✱ ♣♣✳ ✶✵✸✲✶✸✹✳ ❖✬❑❡❡❢❡✱ ❘✳ ❆✳ ✭✶✾✾✵✮✳ ❖❖❉❆ ▲♦♦♣✳ ✭✷✵✵✶✮✳ ❈r❛❢t ♦❢ Pr♦❧♦❣✱ ▼■❚ Pr❡ss✱ ❈❛♠❜r✐❞❣❡✱ ▼❆✳ ❤tt♣✿✴✴✇✇✇✳❞✲♥✲✐✳♥❡t✴❢❝s✴♣♣t✴❜♦②❞s❴♦♦❞❛❴❧♦♦♣✳♣♣t ❖❲▲✳ ✭✷✵✵✹✮✳ ❖❲▲ ❲❡❜ ❖♥t♦❧♦❣② ▲❛♥❣✉❛❣❡ ●✉✐❞❡✱ ❤tt♣✿✴✴✇✇✇✳✇✸✳♦r❣✴ ❚❘✴ ♦✇❧✲❣✉✐❞❡✴❀ ❖❲▲ ❲❡❜ ❖♥t♦❧♦❣② ▲❛♥❣✉❛❣❡ ❘❡❢❡r❡♥❝❡✳ ❤tt♣✿✴✴✇✇✇✳✇✸✳♦r❣✴ ❚❘✴♦✇❧✲r❡❢✴ ✹✼✸ ❘❡❢❡r❡♥❝❡s P❛♣❛❞✐♠✐tr✐♦✉✱ ❈✳ ❍✳ ✭✶✾✾✸✮✳ ❈♦♠♣✉t❛t✐♦♥❛❧ ❈♦♠♣❧❡①✐t②✱ ❆❞❞✐s♦♥ ❲❡s❧❡②✱ ❘❡❛❞✐♥❣✱ ▼❆✳ P❡❛r❧✱ ❏✳ ✭✶✾✽✻✮✳ ✏❆ ❝♦♥str❛✐♥t✲♣r♦♣❛❣❛t✐♦♥ ❛♣♣r♦❛❝❤ t♦ ♣r♦❜❛❜✐❧✐st✐❝ r❡❛s♦♥✲ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✷♥❞ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥✲ t❡❧❧✐❣❡♥❝❡ ✭❯❆■✮✱ P❤✐❧❛❞❡❧♣❤✐❛✱ P❆✳ ✐♥❣✱✑ Pr♦❜❛❜✐❧✐st✐❝ ❘❡❛s♦♥✐♥❣ ✐♥ ■♥t❡❧❧✐❣❡♥t ❙②st❡♠s✿ ◆❡t✇♦r❦s ♦❢ P❧❛✉s✐❜❧❡ ■♥❢❡r❡♥❝❡✱ ▼♦r❣❛♥ ❑❛✉❢♠❛♥♥✱ ❙❛♥ ▼❛t❡♦✱ ❈❆✳ P❡❛r❧✱ ❏✳ ✭✶✾✽✽✮✳ P❡❛r❧✱ ❏✳ ✭✶✾✾✵✮✳ ✏❘❡❛s♦♥✐♥❣ ✉♥❞❡r ✉♥❝❡rt❛✐♥t②✱✑ ❙❝✐❡♥❝❡✱ ❆♥♥✉❛❧ ❘❡✈✐❡✇ ♦❢ ❈♦♠♣✉t❡r ✹✿✸✼✕✼✷✳ P❢❡✛❡r✱ ❆✳✱ ❉❛s✱ ❙✳✱ ▲❛✇❧❡ss✱ ❉✳✱ ❛♥❞ ◆❣✱ ❇✳ ✭✷✵✵✼✮✳ ✏●❧♦❜❛❧✴❧♦❝❛❧ ❞②♥❛♠✐❝ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✷✵t❤ ■♥t❡r♥❛t✐♦♥❛❧ ❏♦✐♥t ❈♦♥❢❡r❡♥❝❡ ♦♥ ❆rt✐✲ ✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭■❏❈❆■ ✮✱ ❍②❞❡r❛❜❛❞✱ ■♥❞✐❛✳ ♠♦❞❡❧s✱✑ P♦rt❡r✱ ▼✳ ✭✶✾✽✵✮✳ ✏❆♥ ❛❧❣♦r✐t❤♠ ❢♦r s✉✣① str✐♣♣✐♥❣✱✑ Pr♦❣r❛♠✱ ❱♦❧✳ ✶✹✱ ◆♦✳ ✸✱ ♣♣✳ ✶✸✵−✶✸✼✳ ◗✉✐♥❧❛♥✱ ❏✳ ❘✳ ✭✶✾✽✻✮✳ ✏■♥❞✉❝t✐♦♥ ♦❢ ❞❡❝✐s✐♦♥ tr❡❡s✱✑ ▼❛❝❤✐♥❡ ▲❡❛r♥✐♥❣✱ ✶✭✶✮✿✽✶✕✶✵✻✳ ◗✉✐♥❧❛♥✱ ❏✳ ❘✳ ✭✶✾✾✸✮✳ ❈✹✳✺✿ Pr♦❣r❛♠s ❢♦r ▼❛❝❤✐♥❡ ▲❡❛r♥✐♥❣✱ ▼♦r❣❛♥ ❑❛✉❢✲ ♠❛♥♥✱ ❙❛♥ ❋r❛♥❝✐s❝♦✱ ❈❆✳ ◗✉✐♥❧❛♥✱ ❏✳ ❘✳ ✭✶✾✾✵✮✳ ✏▲❡❛r♥✐♥❣ ❧♦❣✐❝❛❧ ❞❡✜♥✐t✐♦♥s ❢r♦♠ r❡❧❛t✐♦♥s✱✑ ▲❡❛r♥✐♥❣✱ ▼❛❝❤✐♥❡ ❱♦❧✳ ✺✱ ♣♣✳ ✷✸✾✕✷✻✻✳ ❘❛❜✐♥❡r✱ ▲✳ ✭✶✾✽✾✮✳ ✏❆ t✉t♦r✐❛❧ ♦♥ ❍✐❞❞❡♥ ▼❛r❦♦✈ ▼♦❞❡❧s ❛♥❞ s❡❧❡❝t❡❞ ❛♣♣❧✐✲ ❝❛t✐♦♥s ✐♥ s♣❡❡❝❤ r❡❝♦❣♥✐t✐♦♥✱✑ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ■❊❊❊ ✼✼✱ ✷✺✼✕✷✽✻✳ ❘❛♠♦♥✐✱ ▼✳✱ ❛♥❞ ❙❡❜❛st✐❛♥✐✱ P✳ ✭✶✾✾✼✮✳ ✏❉✐s❝♦✈❡r✐♥❣ ❇❛②❡s✐❛♥ ◆❡t✇♦r❦s ✐♥ ✐♥❝♦♠♣❧❡t❡ ❞❛t❛❜❛s❡s✱✑ ❚❡❝❤♥✐❝❛❧ ❘❡♣♦rt ❑▼■✲❚❘✲✹✻✱ ❑♥♦✇❧❡❞❣❡ ▼❡❞✐❛ ■♥st✐t✉t❡✱ ❚❤❡ ❖♣❡♥ ❯♥✐✈❡rs✐t②✱ ▼✐❧t♦♥ ❑❡②♥❡s✱ ❯❑✳ ❘❛s♠✉ss❡♥✱ ❏✳ ✭✶✾✽✸✮✳ ✏❙❦✐❧❧s✱ r✉❧❡s ❛♥❞ ❦♥♦✇❧❡❞❣❡✿ ❙✐❣♥❛❧s✱ s✐❣♥s ❛♥❞ s②♠❜♦❧✲ ✐s♠✱ ❛♥❞ ♦t❤❡r ❞✐st✐♥❝t✐♦♥s ✐♥ ❤✉♠❛♥ ♣❡r❢♦r♠❛♥❝❡ ♠♦❞❡❧s✱✑ ❛❝t✐♦♥s ♦♥ ❙②st❡♠s✱ ▼❛♥✱ ❛♥❞ ❈②❜❡r♥❡t✐❝s✱ ■❊❊❊ ❚r❛♥s✲ ✶✷✿✷✺✼✕✷✻✻✳ ■♥❢♦r♠❛t✐♦♥ Pr♦❝❡ss✐♥❣ ❛♥❞ ❍✉♠❛♥ ▼❛❝❤✐♥❡ ■♥t❡r❛❝✲ t✐♦♥✿ ❆♥ ❆♣♣r♦❛❝❤ t♦ ❈♦❣♥✐t✐✈❡ ❊♥❣✐♥❡❡r✐♥❣✱ ◆♦rt❤ ❍♦❧❧❛♥❞✱ ◆❨✱ ✶✾✽✻✳ ❘❛s♠✉ss❡♥✱ ❏✳ ✭✶✾✽✻✮✳ ❘❉❋✲Pr✐♠❡r✳ ✭✷✵✵✹✮✳ ❘❉❋ Pr✐♠❡r ✶✳✵✿ ❘❉❋ ❙❝❤❡♠❛✱ ❤tt♣✿✴✴✇✇✇✳✇✸✳♦r❣✴ ❚❘✴ r❞❢✲♣r✐♠❡r✴✳ ❘❡❛s♦♥✱ ❏✳ ✭✶✾✾✵✮✳ ❍✉♠❛♥ ❊rr♦r✱ ❈❛♠❜r✐❞❣❡ ❯♥✐✈❡rs✐t② Pr❡ss✱ ❈❛♠❜r✐❞❣❡✱ ❯❑✳ ❘❡❜❛♥❡✱ ●✳✱ ❛♥❞ P❡❛r❧✱ ❏✳ ✭✶✾✽✼✮✳ ✏❚❤❡ r❡❝♦✈❡r② ♦❢ ❝❛✉s❛❧ ♣♦❧②✲tr❡❡s ❢r♦♠ st❛t✐st✐❝❛❧ ❞❛t❛✱✑ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭❯❆■ ✮✱ ❙❡❛tt❧❡✱ ❲❆✳ ❘❡✐t❡r✱ ❘✳ ✭✶✾✼✽✮✳ ✏❖♥ ❝❧♦s❡❞ ✇♦r❧❞ ❞❛t❛❜❛s❡s✱✑ P❧❡♥✉♠ Pr❡ss✱ ◆❨✳ ▲♦❣✐❝ ❛♥❞ ❉❛t❛❜❛s❡s✱ ✺✺−✼✻✱ ✹✼✹ ❘❡❢❡r❡♥❝❡s ❘❡✐t❡r✱ ❘✳ ✭✶✾✽✵✮✳ ✏❆ ❧♦❣✐❝ ❢♦r ❞❡❢❛✉❧t r❡❛s♦♥✐♥❣✱✑ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡✱ ✶✸✿✽✶✕ ✶✸✷✳ ❘✐❝❤❛r❞s♦♥✱ ▼✳ ❛♥❞ ❉♦♠✐♥❣♦s✱ P✳ ✭✷✵✵✻✮✳ ✏▼❛r❦♦✈ ▲♦❣✐❝ ◆❡t✇♦r❦s✱✑ ▲❡❛r♥✐♥❣✱ ▼❛❝❤✐♥❡ ❱♦❧✳ ✻✷✱ ◆♦✳ ✶✕✷✱ ♣♣✳ ✶✵✼✕✶✸✻✳ ❘♦❜❡rt♦✱ ❏✳✱ ❇❛②❛r❞♦✱ ❏✳✱ ❛♥❞ ❆❣r❛✇❛❧✱ ❘✳ ✭✶✾✾✾✮✳ ✏▼✐♥✐♥❣ t❤❡ ♠♦st ✐♥t❡r❡st✲ ✐♥❣ r✉❧❡s✱✑ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ❆❈▼ ❙■●❑❖❉ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡♥❡❝❡ ♦♥ ❑♥♦✇❧❡❞❣❡ ❉✐s❝♦✈❡r② ❛♥❞ ❉❛t❛ ▼✐♥✐♥❣ ✐♥ ❯❙❆✱ ♣♣✳ ✶✹✺−✶✺✹✳ ❘♦❜✐♥s♦♥✱ ❏✳ ❆✳ ✭✶✾✻✺✮✳ ✏❆ ♠❛❝❤✐♥❡✲♦r✐❡♥t❡❞ ❧♦❣✐❝ ❜❛s❡❞ ♦♥ t❤❡ r❡s♦❧✉t✐♦♥ ♣r✐♥✲ ❝✐♣❧❡✱✑ ❏♦✉r♥❛❧ ♦❢ t❤❡ ❆ss♦❝✐❛t✐♦♥ ❢♦r ❈♦♠♣✉t✐♥❣ ▼❛❝❤✐♥❡r②✱ ✶✷✿✷✸−✹✶✳ ❘✉ss❡❧✱ ❏✳✱ ❇✐♥❞❡r✱ ❏✳ ❑♦❧❧❡r✱ ❉✳✱ ❛♥❞ ❑❛♥❛③❛✇❛✱ ❑✳ ✭✶✾✾✺✮✳ ✏▲♦❝❛❧ ❧❡❛r♥✐♥❣ ✐♥ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✶✹t❤ ■♥✲ t❡r♥❛t✐♦♥❛❧ ❏♦✐♥t ❈♦♥❢❡r❡♥❝❡ ♦♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭■❏❈❆■✮✱ ▼♦♥tr❡❛❧✱ ♣r♦❜❛❜✐❧✐st✐❝ ♥❡t✇♦r❦s ✇✐t❤ ❤✐❞❞❡♥ ✈❛r✐❛❜❧❡s✱✑ ❈❛♥❛❞❛✳ ❘✉ss❡❧❧✱ ❙✳ ❏✳✱ ❛♥❞ ◆♦r✈✐❣✱ P✳ ✭✷✵✵✾✮✳ ♣r♦❛❝❤✱ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡✿ ❆ ▼♦❞❡r♥ ❆♣✲ ✸r❞ ❊❞✐t✐♦♥✱ Pr❡♥t✐❝❡ ❍❛❧❧✱ ◆❏✳ Pr♦✲ ❝❡❡❞✐♥❣s ♦❢ t❤❡ ✷♥❞ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❑♥♦✇❧❡❞❣❡ ❉✐s❝♦✈❡r② ❛♥❞ ❉❛t❛ ▼✐♥✐♥❣✱ ♣♣✳ ✸✸✺✕✸✸✽✱ P♦rt❧❛♥❞✱ ❖❘✳ ❙❛❤❛♠✐✱ ▼✳ ✭✶✾✾✻✮✳ ✏▲❡❛r♥✐♥❣ ❧✐♠✐t❡❞ ❞❡♣❡♥❞❡♥❝❡ ❇❛②❡s✐❛♥ ❝❧❛ss✐✜❡rs✱✑ ❙❝❤♠✐❞t✲❙❝❤❛✉❜ÿ✱ ▼✳ ❛♥❞ ❙♠♦❧❦❛✱ ●✳ ✭✶✾✾✶✮✳ ✏❆ttr✐❜✉t✐✈❡ ❝♦♥❝❡♣t ❞❡s❝r✐♣✲ t✐♦♥s ✇✐t❤ ❝♦♠♣❧❡♠❡♥ts✱✑ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡✱ ❱♦❧✳ ✹✽✱ ◆♦✳ ✶✱ ♣♣✳ ✶✕✷✻✳ ❙❛r❛✇❛❣✐✱ ❙✳ ❛♥❞ ❇❤❛♠✐❞✐♣❛t②✱ ❆✳ ✭✷✵✵✷✮✱ ✏■♥t❡r❛❝t✐✈❡ ❉❡❞✉♣❧✐❝❛t✐♦♥ ❯s✐♥❣ ❆❝t✐✈❡ ▲❡❛r♥✐♥❣✱ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❱❡r② ▲❛r❣❡ ❉❛t❛ ❇❛s❡s ✭❱▲❉❇✮✱ ♣♣✳ ✷✻✾✕✷✼✽✳ ❙❤❛❝❤t❡r✱ ❘✳ ❉✳ ✭✶✾✽✻✮✳ ✏❊✈❛❧✉❛t✐♥❣ ✐♥✢✉❡♥❝❡ ❞✐❛❣r❛♠s✱✑ ❖♣❡r❛t✐♦♥s ❘❡s❡❛r❝❤✱ ✸✹✿✽✼✶−✽✽✷✳ ❙❤❛❝❤t❡r✱ ❘✳ ❉✳✱ ❛♥❞ ❍❡❝❦❡r♠❛♥✱ ❉✳ ✭✶✾✽✼✮✳ ✏❚❤✐♥❦✐♥❣ ❜❛❝❦✇❛r❞ ❢♦r ❦♥♦✇❧❡❞❣❡ ❛❝q✉✐s✐t✐♦♥✱✑ ❆■ ▼❛❣❛③✐♥❡✱ ❙❤❛❢❡r✱ ●✳ ✭✶✾✼✻✮✳ ✽✭✸✮✿✺✺−✻✶✳ ▼❛t❤❡♠❛t✐❝❛❧ ❚❤❡♦r② ♦❢ ❊✈✐❞❡♥❝❡✱ Pr✐♥❝❡t♦♥ ❯♥✐✈❡rs✐t② Pr❡ss✱ Pr✐♥❝❡t♦♥✱ ◆❏✳ ❙❤❡♥♦②✱ P✳ P✳ ✭✶✾✾✷✮✳ ✏❱❛❧✉❛t✐♦♥✲❜❛s❡❞ s②st❡♠s ❢♦r ❇❛②❡s✐❛♥ ❞❡❝✐s✐♦♥ ❛♥❛❧②s✐s✱✑ ❖♣❡r❛t✐♦♥s ❘❡s❡❛r❝❤✱ ✹✵✭✸✮✿✹✻✸−✹✽✹✳ ❙❤✐r❛t❛✱ ❈✳ ✭✶✾✾✽✮✳ ✏❋✐♥❛♥❝✐❛❧ r❛t✐♦s ❛s ♣r❡❞✐❝t♦r ♦❢ ❜❛♥❦r✉♣t❝② ✐♥ ❏❛♣❛♥✿ ❆♥ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ❙❡❝♦♥❞ ❆s✐❛♥ P❛❝✐✜❝ ■♥t❡r❞✐s❝✐✲ ♣❧✐♥❛r② ❘❡s❡❛r❝❤ ✐♥ ❆❝❝♦✉♥t✐♥❣ ❈♦♥❢❡r❡♥❝❡✱ ♣♣✳ ✹✸✼✕✹✹✺✳ ❡♠♣✐r✐❝❛❧ r❡s❡❛r❝❤✱✑ ❙❤♦rt❧✐✛❡✱ ❊✳ ❍✳ ✭✶✾✼✻✮✳ ❈♦♠♣✉t❡r✲❜❛s❡❞ ▼❡❞✐❝❛❧ ❈♦♥s✉❧t❛t✐♦♥s✿ ▼❨❈■◆✱ ❊❧✲ s❡✈✐❡r✱ ◆❨✳ ❙❤♦rt❧✐✛❡✱ ❊✳ ❍✳✱ ❛♥❞ ❇✉❝❤❛♥❛♥✱ ❇✳ ●✳ ✭✶✾✼✺✮✳ ✏❆ ▼♦❞❡❧ ♦❢ ■♥❡①❛❝t ❘❡❛s♦♥✐♥❣ ✐♥ ▼❡❞✐❝✐♥❡✱✑ ❙✐♥❣❤✱ ▼✳ ▼❛t❤❡♠❛t✐❝❛❧ ❇✐♦s❝✐❡♥❝❡s✱ ✭✶✾✾✼✮✳ ✏▲❡❛r♥✐♥❣ ❇❛②❡s✐❛♥ ✷✸✭✸✴✹✮✿✸✺✶✕✸✼✾✳ ♥❡t✇♦r❦s ❢r♦♠ ✐♥❝♦♠♣❧❡t❡ ❞❛t❛✱✑ ❘❡❢❡r❡♥❝❡s ✹✼✺ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✶✹t❤ ◆❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭❆❆❆■ ✮✱ Pr♦✈✐❞❡♥❝❡✱ ❘■✳ ❙✐♥❣❤✱ ▼✳✱ ❛♥❞ ❱❛❧t♦rt❛✱ ▼✳ ✭✶✾✾✺✮✳ ✏❈♦♥str✉❝t✐♦♥ ♦❢ ❇❛②❡s✐❛♥ ♥❡t✇♦r❦ str✉❝✲ t✉r❡s ❢r♦♠ ❞❛t❛✿ ❆ ❜r✐❡❢ s✉r✈❡② ❛♥❞ ❛♥ ❡✣❝✐❡♥t ❛❧❣♦r✐t❤♠✱✑ ❏♦✉r♥❛❧ ♦❢ ❆♣♣r♦①✐♠❛t❡ ❘❡❛s♦♥✐♥❣✱ ■♥t❡r♥❛t✐♦♥❛❧ ✶✷✿✶✶✶✕✶✸✶✳ ❙♠❡ts✱ P✳ ✭✶✾✾✶✮✳ ✏❱❛r✐❡t✐❡s ♦❢ ✐❣♥♦r❛♥❝❡ ❛♥❞ t❤❡ ♥❡❡❞ ❢♦r ✇❡❧❧✲❢♦✉♥❞❡❞ t❤❡♦✲ r✐❡s✱✑ ■♥❢♦r♠❛t✐♦♥ ❙❝✐❡♥❝❡s✱ ✺✼−✺✽✿✶✸✺✕✶✹✹✳ ❙♠❡ts✱ P✳ ✭✶✾✾✹✮✳ ✏◆♦♥ st❛♥❞❛r❞ ♣r♦❜❛❜✐❧✐st✐❝ ❛♥❞ ♥♦♥ ♣r♦❜❛❜✐❧✐st✐❝ r❡♣r❡s❡♥t❛✲ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✺t❤ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ■♥❢♦r♠❛t✐♦♥ Pr♦❝❡ss✐♥❣ ❛♥❞ ▼❛♥❛❣❡♠❡♥t ♦❢ ❯♥❝❡rt❛✐♥t② ✐♥ ❑♥♦✇❧❡❞❣❡✲ ❇❛s❡❞ ❙②st❡♠s ✭■P▼❯✮✱ P❛r✐s✱ ❋r❛♥❝❡✳ t✐♦♥s ♦❢ ✉♥❝❡rt❛✐♥t②✱✑ ❙♣✐❡❣❡❧❤❛❧t❡r✱ ❉✳✱ ❛♥❞ ▲❛✉r✐t③❡♥✱ ❙✳ ✭✶✾✾✵✮✳ ✏❙❡q✉❡♥t✐❛❧ ✉♣❞❛t✐♥❣ ♦❢ ❝♦♥❞✐t✐♦♥❛❧ ♣r♦❜❛❜✐❧✐t✐❡s ♦♥ ❞✐r❡❝t❡❞ ❣r❛♣❤✐❝❛❧ str✉❝t✉r❡s✱✑ ◆❡t✇♦r❦s✱ ✷✵✿✺✼✾✕✻✵✺✳ ❙♣✐rt❡s✱ P✳✱ ●❧②♠♦✉r✱ ❈✳✱ ❛♥❞ ❙❝❤❡✐♥❡s✱ ❘✳ ✭✶✾✾✵✮✳ ✏❈❛✉s❛❧✐t② ❢r♦♠ ♣r♦❜❛❜✐❧✐t②✱✑ Pr♦❝❡❡❞✐♥❣s ♦❢ ❆❞✈❛♥❝❡❞ ❈♦♠♣✉t✐♥❣ ❢♦r t❤❡ ❙♦❝✐❛❧ ❙❝✐❡♥❝❡s✱ ❲✐❧❧✐❛♠s✲ ❜✉r❣✱ ❱❆✳ ❙r✐♥✐✈❛s✱ ❙✳✱ ❘✉ss❡❧❧✱ ❙✳✱ ❛♥❞ ❆❣♦❣✐♥♦✱ ❆✳ ▼✳ ✭✶✾✾✵✮✳ ✏❆✉t♦♠❛t❡❞ ❝♦♥str✉❝t✐♦♥ ♦❢ s♣❛rs❡ ❇❛②❡s✐❛♥ ♥❡t✇♦r❦s ❢r♦♠ ✉♥str✉❝t✉r❡❞ ♣r♦❜❛❜✐❧✐st✐❝ ♠♦❞❡❧s ❛♥❞ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✺t❤ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭❯❆■ ✮✱ ◆❡✇ ❨♦r❦✱ ◆❨✳ ❞♦♠❛✐♥ ✐♥❢♦r♠❛t✐♦♥✱✑ ❙t❡✐♥❜❡r❣✱ ❆✳ ◆✳✱ ❇♦✇♠❛♥✱ ❈✳ ▲✳✱ ❛♥❞ ❲❤✐t❡✱ ❏r✳✱ ❋✳ ❊✳ ✭✶✾✾✽✮✳ ✏❘❡✈✐s✐♦♥s t♦ t❤❡ ❏❉▲ ❞❛t❛ ❢✉s✐♦♥s ♠♦❞❡❧s✱✑ ❈♦♥❢❡r❡♥❝❡✱ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✸r❞ ◆❆❚❖✴■❘■❙ ◗✉❡❜❡❝ ❈✐t②✱ ❈❛♥❛❞❛✳ ❙t❡♣❤❛♥♦✉✱ ❍✳ ❊✳✱ ❛♥❞ ▲✉✱ ❙✳✲❨✳ ✭✶✾✽✽✮✳ ✏▼❡❛s✉r✐♥❣ ❝♦♥s❡♥s✉s ❡✛❡❝t✐✈❡♥❡ss ❜② ❛ ❣❡♥❡r❛❧✐③❡❞ ❡♥tr♦♣② ❝r✐t❡r✐♦♥✱✑ ❛♥❞ ▼❛❝❤✐♥❡ ■♥t❡❧❧✐❣❡♥❝❡✱ ■❊❊❊ ❚r❛♥s❛❝t✐♦♥s ♦♥ P❛tt❡r♥ ❆♥❛❧②s✐s ✶✵✭✹✮✿✺✹✹✕✺✺✹✳ ❙t❡r❧✐♥❣✱ ▲✳✱ ❛♥❞ ❙❤❛♣✐r♦✱ ❊✳ ✭✶✾✾✹✮✳ ❚❤❡ ❆rt ♦❢ Pr♦❧♦❣✱ ▼■❚ Pr❡ss✱ ❈❛♠❜r✐❞❣❡✱ ▼❆✳ ❙t♦❧❧✱ ❘✳ ❘✳ ✭✶✾✻✸✮✳ ❙❡t ❚❤❡♦r② ❛♥❞ ▲♦❣✐❝✱ ❲✳ ❍✳ ❋r❡❡♠❛♥ ❛♥❞ ❈♦♠♣❛♥②✱ ◆❨ ✭❘❡♣r✐♥t ❡❞✐t✐♦♥ ✭✶✾✼✾✮ ❜② ❉♦✈❡r P✉❜❧✐❝❛t✐♦♥s✮✳ ❙tr❛♥❣✱ ●✳ ✭✷✵✵✾✮✳ ■♥tr♦❞✉❝t✐♦♥ t♦ ▲✐♥❡❛r ❆❧❣❡❜r❛✱ ❲❡❧❧❡s❧❡②✲❈❛♠❜r✐❞❣❡ Pr❡ss✳ ❙✉♥❣ ❡t ❛❧✳ ✭✶✾✾✾✮✳ ❉②♥❛♠✐❝s ✐♥ ♠♦❞❡❧✐♥❣ ✐♥ ❞❛t❛ ♠✐♥✐♥❣✿ ■♥t❡r♣r❡t✐✈❡ ❛♣✲ ♣r♦❛❝❤ t♦ ❜❛♥❦r✉♣t❝② ♣r❡❞✐❝t✐♦♥✱ ❏▼■❙✳ ❙✉③✉❦✐✱ ❏✳ ✭✶✾✾✻✮✳ ✏▲❡❛r♥✐♥❣ ❇❛②❡s✐❛♥ ❇❡❧✐❡❢ ◆❡t✇♦r❦s ❜❛s❡❞ ♦♥ t❤❡ ▼❉▲ ♣r✐♥❝✐♣❧❡✿ ❆♥ ❡✣❝✐❡♥t ❛❧❣♦r✐t❤♠ ✉s✐♥❣ t❤❡ ❜r❛♥❝❤ ❛♥❞ ❜♦✉♥❞ t❡❝❤♥✐q✉❡✱✑ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ▼❛❝❤✐♥❡ ▲❡❛r♥✐♥❣✱ ❚❡s♥✐❡r❡✱ ▲✳ ✭✶✾✻✾✮✳ ■t❛❧②✳ ❊❧❡♠❡♥ts ❞❡ s②♥t❛①❡ str✉❝t✉r❛❧❡✱ ❑❧✐♥❝❦s✐❡❝❦✱ ✷♥❞ ❊❞✐t✐♦♥✱ P❛r✐s✳ ❚❤✐❡ss♦♥✱ ❇✳ ✭✶✾✾✺✮✳ ✏❆❝❝❡❧❡r❛t❡❞ q✉❛♥t✐✜❝❛t✐♦♥ ♦❢ ❇❛②❡s✐❛♥ ♥❡t✇♦r❦s ✇✐t❤ ✐♥✲ ✹✼✻ ❘❡❢❡r❡♥❝❡s Pr♦❝❡❡❞✐♥❣s ♦❢ ❋✐rst ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❑♥♦✇❧✲ ❡❞❣❡ ❉✐s❝♦✈❡r② ❛♥❞ ❉❛t❛ ▼✐♥✐♥❣✱ ▼♦♥tr❡❛❧✱ ◗❯✳ ❝♦♠♣❧❡t❡ ❞❛t❛✱✑ ❚❤♦♠❛s✱ ❆✳✱ ❙♣✐❡❣❡❧❤❛❧t❡r✱ ❉✳✱ ❛♥❞ ●✐❧❦s✱ ❲✳ ✭✶✾✾✷✮✳ ✏❇✉❣s✿ ❆ ♣r♦❣r❛♠ t♦ ♣❡r❢♦r♠ ❇❛②❡s✐❛♥ ✐♥❢❡r❡♥❝❡ ✉s✐♥❣ ●✐❜❜s✬ s❛♠♣❧✐♥❣✱✑ ❇❛②❡s✐❛♥ ❙t❛t✐st✐❝s ✹✱ ✽✸✼−✽✹✷✱ ❖①❢♦r❞ ❯♥✐✈❡rs✐t② Pr❡ss✱ ❯❑✳ ❚❤✉rst♦♥❡✱ ▲✳ ✭✶✾✹✼✮✳ ❚♦✉❧♠✐♥✱ ❙✳ ✭✶✾✺✻✮✳ ▼✉❧t✐♣❧❡ ❋❛❝t♦r ❆♥❛❧②s✐s✳ ❯♥✐✈❡rs✐t② ♦❢ ❈❤✐❝❛❣♦ Pr❡ss✳ ❚❤❡ ❯s❡s ♦❢ ❆r❣✉♠❡♥t✱ ❈❛♠❜r✐❞❣❡ ❯♥✐✈❡rs✐t② Pr❡ss✱ ❈❛♠✲ ❜r✐❞❣❡✱ ❊♥❣❧❛♥❞✳ ❚r❡❛❝②✱ ❲✳ ❛♥❞ ❈❛r❡②✱ ▼✳ ✭✶✾✾✽✮✳ ✏❈r❡❞✐t ❘✐s❦ ❘❛t✐♥❣ ❛t ▲❛r❣❡ ❯✳❙✳ ❇❛♥❦s✱✑ ❇♦❛r❞✬s ❉✐✈✐s✐♦♥ ♦❢ ❇❛♥❦✐♥❣ ❙✉♣❡r✈✐s✐♦♥ ❛♥❞ ❘❡❣✉❧❛t✐♦♥✱ ❛♥❞ ❇♦❛r❞✬s ❉✐✈✐s✐♦♥ ♦❢ ❘❡s❡❛r❝❤ ❛♥❞ ❙t❛t✐st✐❝s✱ ❋❡❞❡r❛❧ ❘❡s❡r✈❡ ❇✉❧❧❡t✐♥✳ ❚✉r✱ ●✳✱ ❚✉r✱ ❉✳✱ ❛♥❞ ❙❝❤❛♣✐r❡✱ ❘✳ ✭✷✵✵✺✮✳ ✏❈♦♠❜✐♥✐♥❣ ❛❝t✐✈❡ ❛♥❞ s❡♠✐✲ s✉♣❡r✈✐s❡❞ ❧❡❛r♥✐♥❣ ❢♦r s♣♦❦❡♥ ❧❛♥❣✉❛❣❡ ✉♥❞❡rst❛♥❞✐♥❣✱✑ ♠✉♥✐❝❛t✐♦♥✱ ❙♣❡❡❝❤ ❈♦♠✲ ❱♦❧✳ ✹✺✱ ♣♣✳ ✶✼✶✕✶✽✻✳ ❱❛♥ ❊♠❞❡♥✱ ▼✳ ❍✳✱ ❛♥❞ ❑♦✇❛❧s❦✐✱ ❘✳ ❆✳ ✭✶✾✼✻✮✳ ✏❚❤❡ s❡♠❛♥t✐❝s ♦❢ ♣r❡❞✐✲ ❝❛t❡ ❧♦❣✐❝ ❛s ❛ ♣r♦❣r❛♠♠✐♥❣ ❧❛♥❣✉❛❣❡✱✑ ❈♦♠♣✉t✐♥❣ ▼❛❝❤✐♥❡r②✱ ❏♦✉r♥❛❧ ♦❢ t❤❡ ❆ss♦❝✐❛t✐♦♥ ❢♦r ✷✸✭✹✮✿✼✸✸−✼✹✷✳ ❱❛♣♥✐❦✱ ❱✳ ✭✶✾✾✽✮✳ ❙t❛t✐st✐❝❛❧ ▲❡❛r♥✐♥❣ ❚❤❡♦r②✱ ❱❛♣♥✐❦✱ ❱✳ ✭✷✵✶✵✮✳ ❚❤❡ ◆❛t✉r❡ ♦❢ ❙t❛t✐st✐❝❛❧ ▲❡❛r♥✐♥❣ ❚❤❡♦r②✱ ❲✐❧❡②✲■♥t❡rs❝✐❡♥❝❡✳ ❙♣r✐♥❣❡r✳ ❱❡r♠❛✱ ❚✳ ❙✳✱ ❛♥❞ P❡❛r❧✱ ❏✳ ✭✶✾✾✷✮✳ ✏❆♥ ❛❧❣♦r✐t❤♠ ❢♦r ❞❡❝✐❞✐♥❣ ✐❢ ❛ s❡t ♦❢ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✽t❤ ■♥t❡r♥❛t✐♦♥❛❧ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭❯❆■ ✮✱ ♦❜s❡r✈❡❞ ✐♥❞❡♣❡♥❞❡♥❝✐❡s ❤❛s ❛ ❝❛✉s❛❧ ❡①♣❧❛♥❛t✐♦♥✱✑ ❙t❛♥❢♦r❞✱ ❈❆✳ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✻t❤ ❈♦♥❢❡r❡♥❝❡ ♦♥ ❯♥❝❡rt❛✐♥t② ✐♥ ❆rt✐✜❝✐❛❧ ■♥t❡❧❧✐❣❡♥❝❡ ✭❯❆■ ✮✱ ❲❡♥✱ ❲✳ ❳✳ ✭✶✾✾✵✮✳ ✏❖♣t✐♠❛❧ ❞❡❝♦♠♣♦s✐t✐♦♥ ♦❢ ❇❡❧✐❡❢ ◆❡t✇♦r❦s✱✑ ❈❛♠❜r✐❞❣❡✱ ▼❆✳ ❲❤✐t❡✱ ❏r✳✱ ❋✳ ❊✳ ✭✶✾✽✼✮✳ ✏❉❛t❛ ❢✉s✐♦♥ ❧❡①✐❝♦♥✱✑ ❏♦✐♥t ❉✐r❡❝t♦rs ♦❢ ▲❛❜♦r❛t♦r✐❡s✱ ❚❡❝❤♥✐❝❛❧ P❛♥❡❧ ❢♦r ❈✸✱ ❉❛t❛ ❋✉s✐♦♥ ❙✉❜✲P❛♥❡❧✱ ◆❛✈❛❧ ❖❝❡❛♥ ❙②st❡♠s ❈❡♥t❡r✱ ❙❛♥ ❉✐❡❣♦✳ ❲❤✐t❡✱ ❏r✳✱ ❋✳ ❊✳ ✭✶✾✽✽✮✳ ✏❆ ♠♦❞❡❧ ❢♦r ❞❛t❛ ❢✉s✐♦♥✱✑ ◆❛t✐♦♥❛❧ ❙②♠♣♦s✐✉♠ ♦♥ ❙❡♥s♦r ❋✉s✐♦♥✱ ❲✐❧s♦♥✱ ❘✳ ✭✶✾✾✻✮✳ Pr♦❝❡❡❞✐♥❣s ♦❢ t❤❡ ✶st ❱♦❧✳ ✷✳ ■♥tr♦❞✉❝t✐♦♥ t♦ ●r❛♣❤ ❚❤❡♦r②✱ ❆❞❞✐s♦♥✲❲❡s❧❡②✱ ❘❡❛❞✐♥❣✱ ▼❆✳ ❲✉✱ ❳✳ ❛♥❞ ❑✉♠❛r✱ ❱✳ ✭❡❞s✳✮ ✭✷✵✵✾✮✳ ❚❤❡ ❚♦♣ ❚❡♥ ❆❧❣♦r✐t❤♠s ✐♥ ❉❛t❛ ▼✐♥✐♥❣✱ ❈❤❛♣♠❛♥ ✫ ❍❛❧❧✴❈❘❈✳ ❳✉✱ ❘✳ ❛♥❞ ❲✉♥s❝❤✱ ❉✳ ✭✷✵✵✽✮✳ ❈❧✉st❡r✐♥❣✱ ❲✐❧❡②✲■❊❊❊ Pr❡ss✳ ❨❛❣❡r✱ ❘✳ ❘✳ ✭✷✵✵✹✮✳ ✏❖♥ t❤❡ ❞❡t❡r♠✐♥❛t✐♦♥ ♦❢ str❡♥❣t❤ ♦❢ ❜❡❧✐❡❢ ❢♦r ❞❡❝✐s✐♦♥ s✉♣♣♦rt ✉♥❞❡r ✉♥❝❡rt❛✐♥t② ✕ P❛rt ■■✿ ❋✉s✐♥❣ str❡♥❣t❤s ♦❢ ❜❡❧✐❡❢✱✑ ❙❡ts ❛♥❞ ❙②st❡♠s✱ ✶✹✷✿✶✷✾✕✶✹✷✳ ❋✉③③② ❘❡❢❡r❡♥❝❡s ❨❛❣❡r✱ ❘✳ ❘✳✱ ❑❛❝♣r③②❦✱ ❏✳✱ ❛♥❞ ❋❡❞r✐③③✐✱ ▼✳ ✭❡❞s✳✮ ✭✶✾✾✹✮✳ ❉❡♠♣st❡r✲❙❤❛❢❡r ❚❤❡♦r② ♦❢ ❊✈✐❞❡♥❝❡✱ ❩❛❞❡❤✱ ▲✳ ❆✳ ✭✶✾✻✺✮✳ ✏❋✉③③② s❡ts✱✑ ❆❞✈❛♥❝❡s ✐♥ t❤❡ ❏♦❤♥ ❲✐❧❡② ✫ ❙♦♥s✳ ■♥❢♦r♠❛t✐♦♥ ❛♥❞ ❈♦♥tr♦❧✱ ✽✿✸✸✽✕✸✺✸✳ ❩❛❞❡❤✱ ▲✳ ❆✳ ✭✶✾✼✽✮✳ ✏❋✉③③② s❡ts ❛s t❤❡ ❜❛s✐s ❢♦r ❛ t❤❡♦r② ♦❢ ♣♦ss✐❜✐❧✐t②✱✑ ❙❡ts ❛♥❞ ❙②st❡♠s✱ ✹✼✼ ❋✉③③② ✶✿✸✕✷✽✳ ❩❛❞❡❤✱ ▲✳ ❆✳ ✭✷✵✵✷✮✳ ✏❲❤❛t ✐s ❢✉③③② ❧♦❣✐❝ ❛♥❞ ✇❤❛t ❛r❡ ✐ts ❛♣♣❧✐❝❛t✐♦♥s❄✑ P♦✇❡rP♦✐♥t Pr❡s❡♥t❛t✐♦♥✳ ❩❤✉✱ ▼✳✱ ❈❤❡♥✱ ❲✳✱ ❍✐r❞❡s✱ ❏✳✱ ❛♥❞ ❙t♦❧❡❡✱ P✳ ✭✷✵✵✼✮✳ ✏❚❤❡ ❑✲♥❡❛r❡st ♥❡✐❣❤❜♦r ❛❧❣♦r✐t❤♠ ♣r❡❞✐❝t❡❞ r❡❤❛❜✐❧✐t❛t✐♦♥ ♣♦t❡♥t✐❛❧ ❜❡tt❡r t❤❛♥ ❝✉rr❡♥t ❈❧✐♥✐✲ ❝❛❧ ❆ss❡ss♠❡♥t Pr♦t♦❝♦❧✱✑ ❏♦✉r♥❛❧ ♦❢ ❈❧✐♥✐❝❛❧ ❊♣✐❞❡♠✐♦❧♦❣②✱ ❱♦❧✳ ✻✵✱ ♣♣✳ ✶✵✶✺✕✶✵✷✶✳ ❩❤✉✱ ❳✳ ✭✷✵✵✺✮✳ ✏❙❡♠✐✲❙✉♣❡r✈✐s❡❞ ▲❡❛r♥✐♥❣ ▲✐t❡r❛t✉r❡ ❙✉r✈❡②✱✑ ❘❡♣♦rt ◆♦✳ ✶✺✸✵✱ ❈♦♠♣✉t❡r ❙❝✐❡♥❝❡s✱ ❯♥✐✈❡rs✐t② ♦❢ ❲✐s❝♦♥s✐♥✲▼❛❞✐s♦♥✳ ❩❤✉✱ ❳✳ ❛♥❞ ●♦❧❞❜❡r❣✱ ❆✳ ✭✷✵✵✾✮✳ ■♥tr♦❞✉❝t✐♦♥ t♦ ❙❡♠✐✲❙✉♣❡r✈✐s❡❞ ▲❡❛r♥✐♥❣✱ ▼♦r❣❛♥ ✫ ❈❧❛②♣♦♦❧ P✉❜❧✐s❤❡r✳ ❩✇❡✐❣✱ ●✳ ✭✶✾✾✽✮✳ ❙♣❡❡❝❤ ❘❡❝♦❣♥✐t✐♦♥ ✇✐t❤ ❉②♥❛♠✐❝ ❇❛②❡s✐❛♥ ◆❡t✇♦r❦s✱ P❤✳❉✳ t❤❡s✐s✱ ❯♥✐✈❡rs✐t② ♦❢ ❈❛❧✐❢♦r♥✐❛✱ ❇❡r❦❡❧❡②✳ This page intentionally left blank