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Sabitov, Idzhad Khakovich

Statistics Math-Net.Ru
Total publications: 70
Scientific articles: 63
Presentations: 24

Number of views:
This page:4295
Abstract pages:24596
Full texts:7974
References:1835
Associate professor
Doctor of physico-mathematical sciences (1997)
E-mail:
Website: http://www.math.msu.su/~matan/sabitov/sabitov.html

http://www.mathnet.ru/eng/person8572
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/192884

Publications in Math-Net.Ru
2019
1. D. I. Sabitov, I. Kh. Sabitov, “Volume polynomials for polyhedra combinatorially isometric to $n$-prisms in the cases $n=5,6,7$”, Sib. Èlektron. Mat. Izv., 16 (2019),  439–448  mathnet
2018
2. I. Kh. Sabitov, “On a problem in the bendings theory of negatively curved surfaces”, Sib. Èlektron. Mat. Izv., 15 (2018),  890–893  mathnet
2017
3. D. I. Sabitov, I. Kh. Sabitov, “Volume polynomial for polyhedra of hexahedral type”, Sib. Èlektron. Mat. Izv., 14 (2017),  1078–1087  mathnet
2016
4. I. Kh. Sabitov, “The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research”, Tr. Mosk. Mat. Obs., 77:2 (2016),  184–218  mathnet  elib; Trans. Moscow Math. Soc., 77 (2016), 149–175  scopus
5. Idzhad Kh. Sabitov, “Solutions of the trivial Monge–Ampèr equation with isolated singular points”, Sib. Èlektron. Mat. Izv., 13 (2016),  740–743  mathnet
2015
6. S. N. Mikhalev, I. Kh. Sabitov, “Isometric Embeddings in $\mathbb{R}^3$ of an Annulus with a Locally Euclidean Metric which Are Multivalued of Cylindrical Type”, Mat. Zametki, 98:3 (2015),  378–385  mathnet  mathscinet  elib; Math. Notes, 98:3 (2015), 441–447  isi  scopus
2014
7. A. V. Kostin, I. Kh. Sabitov, “Smarandache Theorem in Hyperbolic Geometry”, Zh. Mat. Fiz. Anal. Geom., 10:2 (2014),  221–232  mathnet  isi
8. S. N. Mikhalev, I. Kh. Sabitov, “Isometric Embeddings of Locally Euclidean Metrics in $\mathbb R^3$ as Conical Surfaces”, Mat. Zametki, 95:2 (2014),  234–247  mathnet  mathscinet  elib; Math. Notes, 95:2 (2014), 214–225  isi  elib  scopus
9. I. Kh. Sabitov, “Second-order infinitesimal bendings of surfaces of revolution with flattening at the poles”, Mat. Sb., 205:12 (2014),  111–140  mathnet  mathscinet  zmath  elib; Sb. Math., 205:12 (2014), 1787–1814  isi  scopus
10. I. Kh. Sabitov, “On a class of inflexible polyhedra”, Sibirsk. Mat. Zh., 55:5 (2014),  1175–1183  mathnet  mathscinet; Siberian Math. J., 55:5 (2014), 961–967  isi  scopus
2013
11. I. Kh. Sabitov, “Hyperbolic Tetrahedron: Volume Calculation with Application to the Proof of the Schläfli Formula”, Model. Anal. Inform. Sist., 20:6 (2013),  149–161  mathnet
12. I. Kh. Sabitov, “On a method of volume calculation for bodies”, Sib. Èlektron. Mat. Izv., 10 (2013),  615–626  mathnet
13. I. Kh. Sabitov, “Infinitesimal and global rigidity and inflexibility of surfaces of revolution with flattening at the poles”, Mat. Sb., 204:10 (2013),  127–160  mathnet  mathscinet  zmath  elib; Sb. Math., 204:10 (2013), 1516–1547  isi  elib  scopus
2012
14. I. Kh. Sabitov, “Markushevich's ill-posed boundary-value problem for multiply connected domains with circular boundaries”, Izv. RAN. Ser. Mat., 76:6 (2012),  153–192  mathnet  mathscinet  zmath  elib; Izv. Math., 76:6 (2012), 1218–1256  isi  elib  scopus
15. D. I. Sabitov, I. Kh. Sabitov, “Volume Polynomials for Some Polyhedra in Spaces of Constant Curvature”, Model. Anal. Inform. Sist., 19:6 (2012),  161–169  mathnet
16. I. Kh. Sabitov, “Isometric surfaces with a common mean curvature and the problem of Bonnet pairs”, Mat. Sb., 203:1 (2012),  115–158  mathnet  mathscinet  zmath  elib; Sb. Math., 203:1 (2012), 111–152  isi  scopus
2011
17. I. Kh. Sabitov, “Algebraic methods for solution of polyhedra”, Uspekhi Mat. Nauk, 66:3(399) (2011),  3–66  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 66:3 (2011), 445–505  isi  elib  scopus
2010
18. I. Kh. Sabitov, “Решение циклических многоугольников”, Mat. Pros., Ser. 3, 14 (2010),  83–106  mathnet
19. I. Kh. Sabitov, “On the Extrinsic Curvature and the Extrinsic Structure of Normal Developable $C^1$ Surfaces”, Mat. Zametki, 87:6 (2010),  900–906  mathnet  mathscinet  elib; Math. Notes, 87:6 (2010), 874–879  isi  scopus
20. I. Kh. Sabitov, A. V. Slovesnov, “Approximation of plane curves by circular arcs”, Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010),  1347–1356  mathnet  mathscinet; Comput. Math. Math. Phys., 50:8 (2010), 1279–1288  isi  scopus
2009
21. I. Kh. Sabitov, “On the developable ruled surfaces of low smoothness”, Sibirsk. Mat. Zh., 50:5 (2009),  1163–1175  mathnet  mathscinet; Siberian Math. J., 50:5 (2009), 919–928  isi  scopus
22. I. Kh. Sabitov, “Locally Euclidean Metrics with a Given Geodesic Curvature of the Boundary”, Tr. Mat. Inst. Steklova, 266 (2009),  218–226  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 266 (2009), 210–218  isi  scopus
2007
23. I. Kh. Sabitov, “Isometric immersions and embeddings of a flat Möbius strip in Euclidean spaces”, Izv. RAN. Ser. Mat., 71:5 (2007),  197–224  mathnet  mathscinet  zmath  elib; Izv. Math., 71:5 (2007), 1049–1078  isi  elib  scopus
2006
24. I. Kh. Sabitov, “A generalization of the Pogorelov–Stocker theorem on complete developable surfaces”, Fundam. Prikl. Mat., 12:1 (2006),  247–252  mathnet  mathscinet  zmath; J. Math. Sci., 149:1 (2008), 1028–1031  scopus
25. I. Ivanova-Karatopraklieva, P. E. Markov, I. Kh. Sabitov, “Bending of surfaces. III”, Fundam. Prikl. Mat., 12:1 (2006),  3–56  mathnet  mathscinet  zmath  elib; J. Math. Sci., 149:1 (2008), 861–895  scopus
2004
26. R. V. Galiulin, S. N. Mikhalev, I. Kh. Sabitov, “Some Applications of the Formula for the Volume of an Octahedron”, Mat. Zametki, 76:1 (2004),  27–43  mathnet  mathscinet  zmath; Math. Notes, 76:1 (2004), 25–40  isi  scopus
27. I. Kh. Sabitov, “Around the proof of the Legendre–Cauchy lemma on convex polygons”, Sibirsk. Mat. Zh., 45:4 (2004),  892–919  mathnet  mathscinet  zmath; Siberian Math. J., 45:4 (2004), 740–762  isi
2002
28. I. Kh. Sabitov, “Algorithmic solution of the problem of isometric realization for two-dimensional polyhedral metrics”, Izv. RAN. Ser. Mat., 66:2 (2002),  159–172  mathnet  mathscinet  zmath  elib; Izv. Math., 66:2 (2002), 377–391  scopus
29. I. G. Maksimov, I. Kh. Sabitov, “On the notion of the combinatorial $p$-parametric property for polyhedra”, Sibirsk. Mat. Zh., 43:4 (2002),  823–839  mathnet  mathscinet  zmath; Siberian Math. J., 43:4 (2002), 661–673  isi
2001
30. I. Kh. Sabitov, “Solutions of the equation $\Delta u=f(x,y)e^{cu}$ in some special cases”, Mat. Sb., 192:6 (2001),  89–104  mathnet  mathscinet  zmath; Sb. Math., 192:6 (2001), 879–894  isi  scopus
2000
31. I. Kh. Sabitov, “Two-dimensional manifolds with metrics of revolution”, Mat. Sb., 191:10 (2000),  87–104  mathnet  mathscinet  zmath; Sb. Math., 191:10 (2000), 1507–1525  isi  scopus
1999
32. I. Kh. Sabitov, “Isometric immersions and embeddings of locally Euclidean metrics in $\mathbb R^2$”, Izv. RAN. Ser. Mat., 63:6 (1999),  147–166  mathnet  mathscinet  zmath; Izv. Math., 63:6 (1999), 1203–1220  isi  scopus
33. A. V. Astrelin, I. Kh. Sabitov, “A canonical polynomial for the volume of a polyhedron”, Uspekhi Mat. Nauk, 54:2(326) (1999),  165–166  mathnet  mathscinet  zmath; Russian Math. Surveys, 54:2 (1999), 430–431  isi  scopus
1998
34. I. Kh. Sabitov, “A generalized Heron–Tartaglia formula and some of its consequences”, Mat. Sb., 189:10 (1998),  105–134  mathnet  mathscinet  zmath; Sb. Math., 189:10 (1998), 1533–1561  isi  scopus
35. I. Kh. Sabitov, “Isometric transformations of a surface inducing conformal maps of the surface onto itself”, Mat. Sb., 189:1 (1998),  119–132  mathnet  mathscinet  zmath; Sb. Math., 189:1 (1998), 115–127  isi  scopus
1997
36. I. Kh. Sabitov, “An integral analog of the Darboux equations for immersions of two-dimensional metrics”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, 9,  49–56  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:9 (1997), 46–53
1996
37. I. Kh. Sabitov, “The volume of polyhedron as a function of its metric”, Fundam. Prikl. Mat., 2:4 (1996),  1235–1246  mathnet  mathscinet  zmath
38. I. Kh. Sabitov, “The polyhedron's volume as a function of length of its edges”, Fundam. Prikl. Mat., 2:1 (1996),  305–307  mathnet  mathscinet  zmath
1995
39. I. Kh. Sabitov, “Some remarks on the tubes of negative curvature”, Fundam. Prikl. Mat., 1:4 (1995),  1033–1043  mathnet  mathscinet  zmath
40. I. Kh. Sabitov, “Quasi-conformal mappings of a surface generated by its isometric transformation, and bendings of the surface onto itself”, Fundam. Prikl. Mat., 1:1 (1995),  281–288  mathnet  mathscinet  zmath
41. I. Ivanova-Karatopraklieva, I. Kh. Sabitov, “Bending of surfaces. Part II”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 8 (1995),  108–167  mathnet  mathscinet  zmath; J. Math. Sci., 74:3 (1995), 997–1043
42. A. V. Astrelin, I. Kh. Sabitov, “A minimal-degree polynomial for determining the volume of an octahedron from its metric”, Uspekhi Mat. Nauk, 50:5(305) (1995),  245–246  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:5 (1995), 1085–1087  isi
43. I. Kh. Sabitov, “On the problem of invariance of the volume of a flexible polyhedron”, Uspekhi Mat. Nauk, 50:2(302) (1995),  223–224  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:2 (1995), 451–452  isi
1994
44. I. Kh. Sabitov, “A complete enumeration of centrally symmetric forms of two-dimensional metrics of constant curvature”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, 3,  65–68  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 38:3 (1994), 63–66
1993
45. I. Kh. Sabitov, “To the question of smoothness of isometries”, Sibirsk. Mat. Zh., 34:4 (1993),  169–176  mathnet  mathscinet  zmath; Siberian Math. J., 34:4 (1993), 741–748  isi
1991
46. I. Ivanova-Karatopraklieva, I. Kh. Sabitov, “Deformation of surfaces. I”, Itogi Nauki i Tekhniki. Ser. Probl. Geom., 23 (1991),  131–184  mathnet  mathscinet  zmath; J. Math. Sci., 70:2 (1994), 1685–1716
1989
47. I. Kh. Sabitov, “Local theory of the bendings of surfaces”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 48 (1989),  196–270  mathnet  mathscinet  zmath; Encyclopaedia Math. Sci., 48 (1992), 179–250
48. I. Ivanova-Karatopraklieva, I. Kh. Sabitov, “Second-order infinitesimal bendings of surfaces of rotation with densification at a pole”, Mat. Zametki, 45:1 (1989),  28–35  mathnet  mathscinet  zmath; Math. Notes, 45:1 (1989), 19–24  isi
1983
49. I. Kh. Sabitov, “Description of flexes of degenerate suspensions”, Mat. Zametki, 33:6 (1983),  901–914  mathnet  mathscinet  zmath; Math. Notes, 33:6 (1983), 462–468  isi
1977
50. I. Kh. Sabitov, “Embedding two-dimensional metrics in $E^4$”, Mat. Zametki, 21:2 (1977),  137–140  mathnet  mathscinet  zmath; Math. Notes, 21:2 (1977), 77–78
1976
51. I. Kh. Sabitov, “Possible generalizations of the Minagawa–Rado Lemma on the rigidity of a surface of revolution with a fixed parallel”, Mat. Zametki, 19:1 (1976),  123–132  mathnet  mathscinet  zmath; Math. Notes, 19:1 (1976), 74–79
52. I. Kh. Sabitov, “On infinitesimal bendings of troughs of revolution. II”, Mat. Sb. (N.S.), 99(141):1 (1976),  49–57  mathnet  mathscinet  zmath; Math. USSR-Sb., 28:1 (1976), 41–48  isi
1975
53. I. Kh. Sabitov, “On infinitesimal bendings of troughs of revolution. I”, Mat. Sb. (N.S.), 98(140):1(9) (1975),  113–129  mathnet  mathscinet  zmath; Math. USSR-Sb., 27:1 (1975), 103–117
1973
54. I. Kh. Sabitov, “The rigidity of “corrugated” surfaces of revolution”, Mat. Zametki, 14:4 (1973),  517–522  mathnet  mathscinet  zmath; Math. Notes, 14:4 (1973), 854–857
1972
55. I. Kh. Sabitov, “Formal solutions of the Hilbert problem for a ring”, Mat. Zametki, 12:2 (1972),  221–232  mathnet  mathscinet  zmath; Math. Notes, 12:2 (1972), 566–572
1968
56. I. Kh. Sabitov, “Minimal surfaces with certain boundary conditions”, Mat. Sb. (N.S.), 76(118):3 (1968),  368–389  mathnet  mathscinet  zmath; Math. USSR-Sb., 5:3 (1968), 357–377
1967
57. I. Kh. Sabitov, “A minimal surface as the rotation graph of a sphere”, Mat. Zametki, 2:6 (1967),  645–656  mathnet  mathscinet  zmath; Math. Notes, 2:6 (1967), 881–887
58. I. Kh. Sabitov, “One condition for rigidity of composite surfaces”, Mat. Zametki, 2:1 (1967),  105–114  mathnet  mathscinet  zmath; Math. Notes, 2:1 (1967), 546–550
1965
59. I. Kh. Sabitov, “Certain results on infinitesimal deformations of surfaces “in the small” and “in the large””, Dokl. Akad. Nauk SSSR, 162:6 (1965),  1256–1258  mathnet  mathscinet  zmath
60. I. Kh. Sabitov, “The local structure of Darboux surfaces”, Dokl. Akad. Nauk SSSR, 162:5 (1965),  1001–1004  mathnet  mathscinet  zmath
1964
61. I. Kh. Sabitov, “A boundary-value problem with linear conjugation”, Mat. Sb. (N.S.), 64(106):2 (1964),  262–274  mathnet  mathscinet  zmath
1963
62. I. Kh. Sabitov, “On the rigidity of certain surfaces of revolution”, Mat. Sb. (N.S.), 60(102):4 (1963),  506–519  mathnet  mathscinet  zmath
1962
63. I. Kh. Sabitov, “Infinitesimal bendings of a convex surface with a generalized translation boundary condition”, Dokl. Akad. Nauk SSSR, 147:4 (1962),  793–796  mathnet  mathscinet  zmath

2018
64. I. Kh. Sabitov, “Как быстро вычислить сумму углов многоугольника?”, Mat. Pros., Ser. 3, 22 (2018),  114–126  mathnet
2014
65. N. N. Andreev, V. M. Buchstaber, A. I. Garber, V. V. Kozlov, S. P. Konovalov, A. A. Mal'tsev, Yu. V. Nesterenko, S. P. Novikov, A. N. Parshin, I. Kh. Sabitov, A. L. Semenov, A. G. Sergeev, O. K. Sheinman, M. I. Shtogrin, E. V. Shchepin, “Nikolai Petrovich Dolbilin (on his 70th birthday)”, Uspekhi Mat. Nauk, 69:1(415) (2014),  187–188  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:1 (2014), 181–182  isi
66. V. A. Sadovnichii, V. N. Chubarikov, T. P. Lukashenko, V. I. Gavrilov, A. T. Fomenko, I. Kh. Sabitov, A. K. Rybnikov, “To memory of Leonid Evgen'evich Evtushik (25.05.1931–16.02.2013)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, 5,  69–70  mathnet
2013
67. A. A. Borisenko, V. A. Gorkavyy, V. I. Diskant, I. Kh. Sabitov, A. T. Fomenko, V. T. Fomenko, “The seventieth birthday of Yurii Akhmetovich Aminov”, Zh. Mat. Fiz. Anal. Geom., 9:2 (2013),  267–272  mathnet  mathscinet
2003
68. V. A. Aleksandrov, V. I. Arnol'd, A. A. Borisenko, Yu. F. Borisov, V. A. Zalgaller, S. S. Kutateladze, V. A. Marchenko, A. D. Milka, Yu. G. Reshetnyak, I. Kh. Sabitov, “Aleksei Vasil'evich Pogorelov (obituary)”, Uspekhi Mat. Nauk, 58:3(351) (2003),  173–175  mathnet  mathscinet  zmath; Russian Math. Surveys, 58:3 (2003), 593–596  isi
1983
69. A. D. Aleksandrov, S. P. Novikov, A. V. Pogorelov, È. G. Poznyak, P. K. Rashevskii, È. R. Rozendorn, I. Kh. Sabitov, S. B. Stechkin, “Nikolai Vladimirovich Efimov (obituary)”, Uspekhi Mat. Nauk, 38:5(233) (1983),  111–117  mathnet  mathscinet  zmath; Russian Math. Surveys, 38:5 (1983), 123–130  isi
1981
70. A. D. Aleksandrov, Yu. A. Aminov, O. A. Oleinik, A. V. Pogorelov, È. G. Poznyak, È. R. Rozendorn, I. Kh. Sabitov, “Nikolai Vladimirovich Efimov (on his seventieth birthday)”, Uspekhi Mat. Nauk, 36:3(219) (1981),  233–238  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:3 (1981), 271–278  isi

Presentations in Math-Net.Ru
1. Изометрическое погружение плоскости Лобачевского в ${\mathbb R}^4$ (ПРОДОЛЖЕНИЕ)
I. Kh. Sabitov
Differential geometry and applications
October 14, 2019 16:45
2. Изометрическое погружение плоскости Лобачевского в ${\mathbb R}^4$
I. Kh. Sabitov
Differential geometry and applications
September 23, 2019 16:45
3. Некорректная краевая задача Маркушевича в многосвязных областях с круговыми границами
I. Kh. Sabitov
Differential geometry and applications
April 15, 2019 16:45
4. Поверхности с локально-евклидовой метрикой (по работам М.И. Штогрина и др.)
I. Kh. Sabitov
International conference "Discrete Mathematics and Mathematical Crystallography" dedicated to the 80th anniversary of Mikhail Ivanovich Stogrin
September 26, 2018 14:10   
5. Markushevich's ill-posed boundary-value problem for multiply connected domains with circular boundaries
I. Kh. Sabitov
Mathematical Colloquium of the Bauman Moscow State Technical University
March 29, 2018 17:30
6. К вопросу о кратности корня многочлена объема для нежестких многогранников
I. Kh. Sabitov
Differential geometry and applications
December 4, 2017 16:45
7. Изгибания и бесконечно малые изгибания многогранников
I. Kh. Sabitov
Differential geometry and applications
September 18, 2017 16:45
8. Surfaces with locally euclidean metrics and trivial Monge-Ampere equation
I. Kh. Sabitov
Differential geometry and applications
February 16, 2015 16:45
9. Метрическая геометрия в Московском Университете: немного истории и некоторые последние результаты
I. Kh. Sabitov
Conference "Moscow Mathematical Society and Lomonosov Moscow State University" dedicated to the 150th anniversary of Moscow Mathematical Society
December 24, 2014 15:50
10. Интегральные формулы для объемов в пространствах постоянной кривизны
I. Kh. Sabitov
Meetings of the Moscow Mathematical Society
April 15, 2014 18:30
11. Integral volume formulae in spaces of constant curvature
I. Kh. Sabitov
Differential geometry and applications
March 17, 2014 16:45
12. Integral formulae for volumes in spaces of constant curvature
I. Kh. Sabitov
Lie groups and invariant theory
March 12, 2014 16:45
13. Volumes in Spaces of Constant Curvature
I. Kh. Sabitov
Discrete and Computational Geometry
November 20, 2013 13:00
14. On an approach to the calculation of volumes in spaces of constant curvature
I. Kh. Sabitov
International Conference "Geometry Days in Novosibirsk, 2013"
August 29, 2013 09:30   
15. Изгибания и бесконечно малые изгибания поверхностей вращения
I. Kh. Sabitov
P.K. Rashevskii seminar on tensor and vector analysis with applications in geometry, mechanics and physics
April 22, 2013 18:30
16. Bendable polyhedra
I. Kh. Sabitov
MIPT Interdepartmental Seminar on Discrete Mathematics
December 5, 2012
17. Изгибаемые многогранники и некоторые их геометрические и механические свойства
I. Kh. Sabitov

March 12, 2012
18. Некорректная краевая задача Маркушевича
I. Kh. Sabitov
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
November 18, 2011 18:30
19. New integral formulas for compact surfaces
I. Kh. Sabitov
Differential geometry and applications
October 24, 2011 16:45
20. Решение проблемы пар Бонне
I. Kh. Sabitov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
July 7, 2010 14:00
21. Приближения кривых круговыми дугами
I. Kh. Sabitov, A. V. Slovesnov
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
October 16, 2009 18:30
22. Обобщение формулы Герона на объемы многогранников в $R^3$
I. Kh. Sabitov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
August 12, 2009 14:00
23. Ленты Мебиуса: математические и механические аспекты
I. Kh. Sabitov, A. V. Slovesnov
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
April 18, 2008 18:30
24. Volume of a polyhedron as a function of lengths of its edges (a generalized Heron formula)
I. Kh. Sabitov
Meetings of the St. Petersburg Mathematical Society
March 25, 1997

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