Pólya, George 18871985
Overview
Works:  417 works in 2,145 publications in 10 languages and 25,340 library holdings 

Genres:  Biography Portraits Bibliography History 
Roles:  Author, Editor, Dedicatee, Correspondent, Honoree 
Classifications:  QA11, 510.7 
Publication Timeline
.
Most widely held works about
George Pólya
 The Pólya picture album : encounters of a mathematician by George Pólya( Book )
 The random walks of George Pólya by Gerald L Alexanderson( Book )
 Studies in mathematical analysis and related topics; essays in honor of George Pólya by Gábor Szegő( Book )
 Collected papers by George Pólya( Book )
 George Pólya : master of discovery 18871985 by Harold D Taylor( Book )
 Let us teach guessing by George Pólya( Visual )
 The heuristic of George Polya and its relation to artificial intelligence by Allen Newell( Book )
 Collected papers by George Pólya( Book )
 Enumeration in musical theory by Harald Fripertinger( Book )
 Papers of Bruno de Finetti by Bruno De Finetti( )
 Jacob David Tamarkin correspondence by J. D Tamarkin( )
 On the solution of Moser's problem in four dimensions, and related issues : a collection of two papers, On the solution of Moser's problems in four dimensions, and, Independent permutations as related to a problem of Moser and a theorem of Pólya by Ashok K Chandra( Book )
 A simple improvement of a theorem of Pólya by Jinyi Cai( Book )
 George and Alexandra Forsythe papers by George E Forsythe( )
 Schoenberg, I.J., papers by I. J Schoenberg( )
 Polya's enumeration formula by Christine MengèsLe Pape( )
 Pólya student notes by Geoff Ball( Book )
 Polya's counting theory by David S Chandler( )
 The problem solving techniques of George Polya by Robert Irby( )
 On the HELP inequality and its extension to the þLaplacian by Simon Aumann( Book )
more
fewer
Most widely held works by
George Pólya
How to solve it : a new aspect of mathematical method by
George Pólya(
Book
)
138 editions published between 1945 and 2014 in 3 languages and held by 3,457 WorldCat member libraries worldwide
Outlines a method of solving mathematical problems for teachers and students based upon the four steps of understanding the problem, devising a plan, carrying out the plan, and checking the results
138 editions published between 1945 and 2014 in 3 languages and held by 3,457 WorldCat member libraries worldwide
Outlines a method of solving mathematical problems for teachers and students based upon the four steps of understanding the problem, devising a plan, carrying out the plan, and checking the results
Mathematical discovery; on understanding, learning, and teaching problem solving by
George Pólya(
Book
)
83 editions published between 1962 and 2009 in English and Undetermined and held by 1,944 WorldCat member libraries worldwide
Patterns; The pattern of two loci; The cartesian pattern; Recursion; Superposition; Toward a general method; Problems; Widening the scope; Solutions; Appendix; Bibliography; Index
83 editions published between 1962 and 2009 in English and Undetermined and held by 1,944 WorldCat member libraries worldwide
Patterns; The pattern of two loci; The cartesian pattern; Recursion; Superposition; Toward a general method; Problems; Widening the scope; Solutions; Appendix; Bibliography; Index
Mathematics and plausible reasoning by
George Pólya(
Book
)
44 editions published between 1954 and 2014 in English and German and held by 1,770 WorldCat member libraries worldwide
"Here the author of How to Solve It explains how to become a "good guesser." Marked by G. Polya's simple, energetic prose and use of clever examples from a wide range of human activities, this twovolume work explores techniques of guessing, inductive reasoning, and reasoning by analogy, and the role they play in the most rigorous of deductive disciplines."Book cover
44 editions published between 1954 and 2014 in English and German and held by 1,770 WorldCat member libraries worldwide
"Here the author of How to Solve It explains how to become a "good guesser." Marked by G. Polya's simple, energetic prose and use of clever examples from a wide range of human activities, this twovolume work explores techniques of guessing, inductive reasoning, and reasoning by analogy, and the role they play in the most rigorous of deductive disciplines."Book cover
Inequalities by
G. H Hardy(
Book
)
125 editions published between 1934 and 2004 in 4 languages and held by 1,148 WorldCat member libraries worldwide
"This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject accessible to a wide audience of mathematicians."Publisher's website
125 editions published between 1934 and 2004 in 4 languages and held by 1,148 WorldCat member libraries worldwide
"This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject accessible to a wide audience of mathematicians."Publisher's website
Aufgaben und Lehrsätze aus der Analysis by
George Pólya(
Book
)
152 editions published between 1925 and 2000 in 6 languages and held by 1,064 WorldCat member libraries worldwide
152 editions published between 1925 and 2000 in 6 languages and held by 1,064 WorldCat member libraries worldwide
Problems and theorems in analysis by
George Pólya(
Book
)
33 editions published between 1972 and 1998 in 4 languages and held by 945 WorldCat member libraries worldwide
From the reviews: "The work is one of the real classics of this century; it has had much influence on teaching, on research in several branches of hard analysis, particularly complex function theory, and it has been an essential indispensable source book for those seriously interested in mathematical problems. These volumes contain many extraordinary problems and sequences of problems, mostly from some time past, well worth attention today and tomorrow. Written in the early twenties by two young mathematicians of outstanding talent, taste, breadth, perception, perseverence, and pedagogical skill, this work broke new ground in the teaching of mathematics and how to do mathematical research. (Bulletin of the American Mathematical Society)
33 editions published between 1972 and 1998 in 4 languages and held by 945 WorldCat member libraries worldwide
From the reviews: "The work is one of the real classics of this century; it has had much influence on teaching, on research in several branches of hard analysis, particularly complex function theory, and it has been an essential indispensable source book for those seriously interested in mathematical problems. These volumes contain many extraordinary problems and sequences of problems, mostly from some time past, well worth attention today and tomorrow. Written in the early twenties by two young mathematicians of outstanding talent, taste, breadth, perception, perseverence, and pedagogical skill, this work broke new ground in the teaching of mathematics and how to do mathematical research. (Bulletin of the American Mathematical Society)
Mathematical methods in science by
George Pólya(
Book
)
36 editions published between 1963 and 2014 in English and held by 926 WorldCat member libraries worldwide
36 editions published between 1963 and 2014 in English and held by 926 WorldCat member libraries worldwide
Applied combinatorial mathematics by
Edwin F Beckenbach(
Book
)
22 editions published between 1964 and 1981 in English and Undetermined and held by 875 WorldCat member libraries worldwide
22 editions published between 1964 and 1981 in English and Undetermined and held by 875 WorldCat member libraries worldwide
Complex variables by
George Pólya(
Book
)
29 editions published between 1974 and 1991 in 3 languages and held by 742 WorldCat member libraries worldwide
29 editions published between 1974 and 1991 in 3 languages and held by 742 WorldCat member libraries worldwide
Notes on introductory combinatorics by
George Pólya(
Book
)
31 editions published between 1983 and 2010 in English and German and held by 680 WorldCat member libraries worldwide
Developed from the authors' introductory combinatorics course, this book focuses on a branch of mathematics which plays a crucial role in computer science. Combinatorial methods provide many analytical tools used for determining the expected performance of computer algorithms. Elementary subjects such as combinations and permutations, and mathematical tools such as generating functions and Pólya's Theory of Counting, are covered, as are analyses of specific problems such as Ramsey Theory, matchings, and Hamiltonian and Eulerian paths. This introduction will provide students with a solid foundation in the subject.  "This is a delightful little paperback which presents a daybyday transcription of a course taught jointly by Pólya and Tarjan at Stanford University. Woods, the teaching assistant for the class, did a very good job of merging class notes into an interesting minitextbook; he also included the exercises, homework, and tests assigned in the class (a very helpful addition for other instructors in the field). The notes are very well illustrated throughout and Woods and the Birkhäuser publishers produced a very pleasant text. One can count on [Pólya and Tarjan] for new insights and a fresh outlook. Both instructors taught by presenting a succession of examples rather than by presenting a body of theory ... [The book] is very well suited as supplementary material for any introductory class on combinatorics; as such, it is very highly recommended. Finally, for all of us who like the topic and delight in observing skilled professionals at work, this book is entertaining and, yes, instructive, reading."Mathematical Reviews (Review of the original hardcover edition) "The mathematical community welcomes this book as a final contribution to honour the teacher G. Pólya."Zentralblatt MATH (Review of the original hardcover edition)
31 editions published between 1983 and 2010 in English and German and held by 680 WorldCat member libraries worldwide
Developed from the authors' introductory combinatorics course, this book focuses on a branch of mathematics which plays a crucial role in computer science. Combinatorial methods provide many analytical tools used for determining the expected performance of computer algorithms. Elementary subjects such as combinations and permutations, and mathematical tools such as generating functions and Pólya's Theory of Counting, are covered, as are analyses of specific problems such as Ramsey Theory, matchings, and Hamiltonian and Eulerian paths. This introduction will provide students with a solid foundation in the subject.  "This is a delightful little paperback which presents a daybyday transcription of a course taught jointly by Pólya and Tarjan at Stanford University. Woods, the teaching assistant for the class, did a very good job of merging class notes into an interesting minitextbook; he also included the exercises, homework, and tests assigned in the class (a very helpful addition for other instructors in the field). The notes are very well illustrated throughout and Woods and the Birkhäuser publishers produced a very pleasant text. One can count on [Pólya and Tarjan] for new insights and a fresh outlook. Both instructors taught by presenting a succession of examples rather than by presenting a body of theory ... [The book] is very well suited as supplementary material for any introductory class on combinatorics; as such, it is very highly recommended. Finally, for all of us who like the topic and delight in observing skilled professionals at work, this book is entertaining and, yes, instructive, reading."Mathematical Reviews (Review of the original hardcover edition) "The mathematical community welcomes this book as a final contribution to honour the teacher G. Pólya."Zentralblatt MATH (Review of the original hardcover edition)
Isoperimetric inequalities in mathematical physics by
George Pólya(
Book
)
39 editions published between 1951 and 2016 in 4 languages and held by 570 WorldCat member libraries worldwide
The book description for the forthcoming "Isoperimetric Inequalities in Mathematical Physics. (AM27)" is not yet available
39 editions published between 1951 and 2016 in 4 languages and held by 570 WorldCat member libraries worldwide
The book description for the forthcoming "Isoperimetric Inequalities in Mathematical Physics. (AM27)" is not yet available
Combinatorial enumeration of groups, graphs, and chemical compounds by
George Pólya(
Book
)
18 editions published between 1987 and 2012 in English and German and held by 533 WorldCat member libraries worldwide
In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest immungen jUr Gruppen, Graphen und chemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, wellknown for outstanding work in many branches of mathematics, particularly analysis. The paper in Question was unusual in that it depended almost entirely on a single theorem  the "Hauptsatz" of Section 4  a theorem which gave a method for solving a general type of enumera tion problem. On the face of it, this is not something that one would expect to run to over 100 pages. Yet the range of the applica tions of the theorem and of its ramifications was enormous, as Polya clearly showed. In the various sections of his paper he explored many applications to the enumeration of graphs, principally trees, and of chemical isomers, using his theorem to present a comprehen sive and unified treatment of problems which had previously been solved, if at all, only by ad hoc methods. In the final section he investigated the asymptotic properties of these enumerational results, bringing to bear his formidable insight as an analyst
18 editions published between 1987 and 2012 in English and German and held by 533 WorldCat member libraries worldwide
In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest immungen jUr Gruppen, Graphen und chemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, wellknown for outstanding work in many branches of mathematics, particularly analysis. The paper in Question was unusual in that it depended almost entirely on a single theorem  the "Hauptsatz" of Section 4  a theorem which gave a method for solving a general type of enumera tion problem. On the face of it, this is not something that one would expect to run to over 100 pages. Yet the range of the applica tions of the theorem and of its ramifications was enormous, as Polya clearly showed. In the various sections of his paper he explored many applications to the enumeration of graphs, principally trees, and of chemical isomers, using his theorem to present a comprehen sive and unified treatment of problems which had previously been solved, if at all, only by ad hoc methods. In the final section he investigated the asymptotic properties of these enumerational results, bringing to bear his formidable insight as an analyst
Problems and theorems in analysis by
George Pólya(
Book
)
137 editions published between 1972 and 2004 in English and German and held by 488 WorldCat member libraries worldwide
From the reviews: "... In the past, more of the leading mathematicians proposed and solved problems than today, and there were problem departments in many journals. Pólya and Szego must have combed all of the large problem literature from about 1850 to 1925 for their material, and their collection of the best in analysis is a heritage of lasting value. The work is unashamedly dated. With few exceptions, all of its material comes from before 1925. We can judge its vintage by a brief look at the author indices (combined). Let's start on the C's: Cantor, Carathéodory, Carleman, Carlson, Catalan, Cauchy, Cayley, Cesàro,... Or the L's: Lacour, Lagrange, Laguerre, Laisant, Lambert, Landau, Laplace, Lasker, Laurent, Lebesgue, Legendre,... Omission is also information: Carlitz, Erdös, Moser, etc."Bull.Americ.Math.Soc
137 editions published between 1972 and 2004 in English and German and held by 488 WorldCat member libraries worldwide
From the reviews: "... In the past, more of the leading mathematicians proposed and solved problems than today, and there were problem departments in many journals. Pólya and Szego must have combed all of the large problem literature from about 1850 to 1925 for their material, and their collection of the best in analysis is a heritage of lasting value. The work is unashamedly dated. With few exceptions, all of its material comes from before 1925. We can judge its vintage by a brief look at the author indices (combined). Let's start on the C's: Cantor, Carathéodory, Carleman, Carlson, Catalan, Cauchy, Cayley, Cesàro,... Or the L's: Lacour, Lagrange, Laguerre, Laisant, Lambert, Landau, Laplace, Lasker, Laurent, Lebesgue, Legendre,... Omission is also information: Carlitz, Erdös, Moser, etc."Bull.Americ.Math.Soc
The Stanford mathematics problem book: with hints and solutions by
George Pólya(
Book
)
28 editions published between 1974 and 2013 in English and held by 481 WorldCat member libraries worldwide
This volume features a complete set of problems, hints, and solutions based on Stanford University's wellknown competitive examination in mathematics. It offers students at both high school and college levels an excellent mathematics workbook. Filled with rigorous problems, it assists students in developing and cultivating their logic and probability skills. 1974 edition
28 editions published between 1974 and 2013 in English and held by 481 WorldCat member libraries worldwide
This volume features a complete set of problems, hints, and solutions based on Stanford University's wellknown competitive examination in mathematics. It offers students at both high school and college levels an excellent mathematics workbook. Filled with rigorous problems, it assists students in developing and cultivating their logic and probability skills. 1974 edition
Induction and analogy in mathematics by
George Pólya(
Book
)
49 editions published between 1954 and 1990 in English and held by 311 WorldCat member libraries worldwide
49 editions published between 1954 and 1990 in English and held by 311 WorldCat member libraries worldwide
Singularities of analytic functions by
George Pólya(
Book
)
8 editions published in 1974 in English and French and held by 255 WorldCat member libraries worldwide
8 editions published in 1974 in English and French and held by 255 WorldCat member libraries worldwide
Location of zeros by
George Pólya(
Book
)
6 editions published in 1974 in English and held by 250 WorldCat member libraries worldwide
6 editions published in 1974 in English and held by 250 WorldCat member libraries worldwide
Aufgaben und Lehrsätze aus der Analysis by
George Pólya(
Book
)
55 editions published between 1925 and 1971 in 3 languages and held by 242 WorldCat member libraries worldwide
55 editions published between 1925 and 1971 in 3 languages and held by 242 WorldCat member libraries worldwide
Schule des Denkens : vom Lösen mathematischer Probleme by
George Pólya(
Book
)
17 editions published between 1949 and 2010 in German and Undetermined and held by 241 WorldCat member libraries worldwide
17 editions published between 1949 and 2010 in German and Undetermined and held by 241 WorldCat member libraries worldwide
Vom Lösen mathematischer Aufgaben : Einsicht und Entdeckung, Lernen und Lehren by
George Pólya(
Book
)
31 editions published between 1966 and 2014 in German and held by 232 WorldCat member libraries worldwide
Zwar nur gelesenoder gehort abermit echtemInteresse und wirkIicher Einsicht verfolgt hat, kann zu einem Schema werden, zu einem Vor bild, das sich bei der Losung ahnlicher Aufgaben mit Vorteil nacho ahmen laBt. Teil 1 setzt sioh zum Ziel, den Leser mit einigen der artigen besonders niitzlichen Schemata bekanntzumachen. Es mag leicht sein, die LOsungeiner Aufgabe nachzuahmen, wenn man eineihr sehr ahnliche zu losenhat; eine solcheNachahmung wird sehwieriger oder kaum moglich sein, wenn keine sostarke AhnIichkeit vorliegt. Auch ist ein Verlangen nach etwas, was mehr ist als bloBe Nachahmung, tief verwurzelt in der menschlichen Natur: ein Ver langen nach einem Verfahren, das, von Einschrankungen frei, aile Probleme, aile Aufgaben im weitesten Sinn losen kann. Dieses Ver langen mag bei vielen Menschen dunkel bleiben, aber es tritt in ein paarMarchen  der Lesererinnertsiohvieileicht an die Geschichte von dem Zauberwort, das aile Tiiren offnet  und in den Schriften einiger Philosophen zutage. Descartes hat sioh intensiv mit der Idee einer universellen Methode zur Losung ailer Probleme befaBt, und Leibnitz hat die Idee einer vollkommenen Methode sehr klar formuliert. Aber die Suche nach einer universeilen vollkommenen Methode ist ebenso erfolglos geblieben wie die Suche nach dem Stein der Weisen, der niedrige Metaile in Gold verwandeln soilte; es gibt groBeTraume, die Traume bleiben mtissen. Dennoch iiben solche unerreichbaren Ideale ihren EinfluB aus: Es hat noch niemand den Polarstem erreicht, aber vielehaben siohnach ihm gerichtetund soden richtigenWeggefunden
31 editions published between 1966 and 2014 in German and held by 232 WorldCat member libraries worldwide
Zwar nur gelesenoder gehort abermit echtemInteresse und wirkIicher Einsicht verfolgt hat, kann zu einem Schema werden, zu einem Vor bild, das sich bei der Losung ahnlicher Aufgaben mit Vorteil nacho ahmen laBt. Teil 1 setzt sioh zum Ziel, den Leser mit einigen der artigen besonders niitzlichen Schemata bekanntzumachen. Es mag leicht sein, die LOsungeiner Aufgabe nachzuahmen, wenn man eineihr sehr ahnliche zu losenhat; eine solcheNachahmung wird sehwieriger oder kaum moglich sein, wenn keine sostarke AhnIichkeit vorliegt. Auch ist ein Verlangen nach etwas, was mehr ist als bloBe Nachahmung, tief verwurzelt in der menschlichen Natur: ein Ver langen nach einem Verfahren, das, von Einschrankungen frei, aile Probleme, aile Aufgaben im weitesten Sinn losen kann. Dieses Ver langen mag bei vielen Menschen dunkel bleiben, aber es tritt in ein paarMarchen  der Lesererinnertsiohvieileicht an die Geschichte von dem Zauberwort, das aile Tiiren offnet  und in den Schriften einiger Philosophen zutage. Descartes hat sioh intensiv mit der Idee einer universellen Methode zur Losung ailer Probleme befaBt, und Leibnitz hat die Idee einer vollkommenen Methode sehr klar formuliert. Aber die Suche nach einer universeilen vollkommenen Methode ist ebenso erfolglos geblieben wie die Suche nach dem Stein der Weisen, der niedrige Metaile in Gold verwandeln soilte; es gibt groBeTraume, die Traume bleiben mtissen. Dennoch iiben solche unerreichbaren Ideale ihren EinfluB aus: Es hat noch niemand den Polarstem erreicht, aber vielehaben siohnach ihm gerichtetund soden richtigenWeggefunden
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Related Identities
 Szegő, Gábor 18951985 Other Contributor Author Editor
 Hardy, G. H. (Godfrey Harold) 18771947 Author Dedicatee
 Littlewood, John E. (John Edensor) 18851977 Author Editor
 Woods, Donald R. 1954
 Tarjan, Robert E. (Robert Endre) 1948
 Bowden, Leon Other Editor
 Beckenbach, Edwin F. Author Editor
 Alexanderson, Gerald L. Author Editor
 Latta, Gordon 1923 Author
 Read, Ronald C. Editor
Useful Links
Associated Subjects
Accademia nazionale dei Lincei Analogy Analytic functions Artificial intelligence Bayesian statistical decision theory Calculus Calculus, Integral Combinatorial analysis Combinatorial enumeration problems Daboni, Luciano De Finetti, Bruno De Gennaro, Antonio Economics, Mathematical Electronic digital computers Functions Functions of complex variables Game theory Hungary Hypothesis Induction (Mathematics) Inequalities (Mathematics) Isoperimetric inequalities Logic, Symbolic and mathematical Lombardini, Siro Mathematical analysis Mathematical physics Mathematical statistics Mathematicians Mathematics MathematicsPhilosophy MathematicsStudy and teaching MathematicsStudy and teaching (Secondary) MathematicsStudy and teachingAudiovisual aids Neyman, Jerzy, Pólya, George, Polynomials Probabilities Problem solving Reasoning Savage, Leonard J ScienceMathematics ScienceMethodology ScienceMethodologyStudy and teaching Serialism (Music) Singularities (Mathematics) Twelvetone system Università degli studi di Trieste Università di Roma Universities and collegesFaculty Zero (The number)
Alternative Names
Corc Polya
Đerđ Poja
George Pólya matemàtic hongarès
George Pólya matematician maghiar
George Pólya matemático húngaro
George Polya matematico ungherese
George Pólya mathématicien hongrois
George Pólya Ungari matemaatik
George Pólya ungarischUSamerikanischer Mathematiker
György Pólya
György Pólya Hongaars wiskundige (18871985)
Poĭa, D.
Poja, D.
Poja, D. 18871985
Poja, Džordž.
Poja, Džordž 18871985
Polia, G.
Polia, G. 18871985
Poliya, Jorj
Poliya, Jorj 18871985
Pollák, George 18871985
Pólya G.
Pólya, G. 18871985
Pólya, G. (George), 18871985
Pólya, G. (György), 18871985
Pólya, Georg
Pólya, Georg 18871985
Pólya, George.
Pólya, George 18871985
Polya Georges 18871985
Pólya, Görgy
Pólya, Görgy 18871985
Pólya, Gyoergy 18871985
Pólya, György
Pólya, György 18871985
Pólya György magyar matematikus, fizikus és metodológus
Дьёрдь Пойа венгерский, швейцарский и американский математик
Дьорд Пойа
Дьордь Пойа
Дьордь Пойа угорський, швейцарський і американський математик
Пойа Д
Пойа, Д 18871985
Пойа, Дж 18871985
Пойа, Джордж
Полиа Г
Полиа Г. 18871985
Полиа, Георг
Полиа Д
Полиа Д. 18871985
Полиа, Джордж
Полия, Джордж
Ђерђ Поја
Ջորջ Փոյա
ג'ורג' פוליה
ג'ורג' פוליה מתמטיקאי הונגרי
جرج پولیا
جورج بوليا
جورج بوليا رياضياتي مجري
جورج پولیا
조지 폴리아
ポーヤ, G
ポーヤ・ジェルジ
ポリア, G.
喬治·波利亞
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French (3)
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Chinese (1)
Japanese (1)
Germanic (1)
German (253)
Spanish (8)
Russian (5)
Italian (4)
French (3)
Hungarian (2)
Chinese (1)
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