S C I E N T I F I C P U B L I C A T I O N S

**M A T H E M A T I C S**

**Pure
and Applied**

Mark Burgin

**Books
and booklets are in bold letters
**

1.
*Imbedding
a group amalgam with some property into
a group with the same property*, Mathematics of the

2.
*Imbedding
an amalgam of groups into a group*, VIII All-Union Colloquium
on General Algebra,

3.
*Categories
with involution and correspondences in *g*-categories*, IX All-Union Algebraic Colloquium,

4.
*Generalized
free and permutation products of groups*, IX All-Union Algebraic
Colloquium,

5.
*Some
properties of the generalized free products and imbedding of group amalgams*,
Math. of the

6.
*The
Freiheitssatz in some varieties of linear *W*-algebras and *W*-rings*, Russian Mathematical Surveys, 1969, v. 24,
No. 1, pp. 27-38 (translated from
Russian)

7.
g-*categories and categories with involution*,
Russian Mathematical Surveys, 1969, v. 24, No. 2, pp. 221-222 (in Russian)

8.
*P-products
of linear *W*-algebras*, X
All-Union Algebraic Colloquium,

9.
*Principal
objects in abelian categories and the related torsion*, X
All-Union Algebraic Colloquium,

10. *Categories of relations over semiabelian
categories,* Notices of
the

11. *Gruppoid of linear *W*-algebras varieties*, Russian Mathematical Surveys, 1970, v. 25,
No. 3, pp. 263-264 (in Russian)

12. *Homological algebra in G-primitive *g*-categories*, Doklady of the
Academy of Science of Belorussia, 1970, v. 14, No. 7, pp. 585-587 (in Russian)

13. *Permutational products of linear *W*-algebras*,* * Soviet Math. Izvestiya, 1970, v. 4, No. 3, pp.
977-999 (translated from
Russian)

14. *Categories with involution and relations in *g*-categories*, Transactions of the
Moscow Mathematical Society, 1970, v. 22 (1972) , pp. 161-228 (translated from Russian, AMS, 1972)

15. *Free epimorphic images of free linear *W*-algebras*, Conference on Algebra, Mathematical Logic and
Computational Mathematics,

16. *Linear *W*-algebras with zero grade identities*, XI All-Union Algebraic Colloquium,

17. *Some problems of the theory of topological algebras*, XI All-Union Algebraic Colloquium,

18. *Free decompositions with a common subobject*, XI All-Union Algebraic Colloquium,

19. *Wreath products of linear *W*-algebras*, Mathematics, Izvestiya VUZOV, 1971, No.6,
pp. 9-17 (translated from Russian:
Soviet Mathematics, 1971, v. 15, No. 6)

20. *Correspondences,
central ideals and homological algebra
in ***g**** -categories**,

21. *Free topological groups and universal algebras*, Notices of the

22. *Free quotients of free linear *W*-algebras*, Matematicheskiye Zametki, 1972, v. 11, No. 5,
pp. 537-544 (translated from Russian)

23. *Schreier varieties of linear *W*-algebras*, Russian Mathematical Surveys, 1972, v. 27,
No. 5, pp. 227-228 (in Russian)

24. *Linear *W*-algebras over commutative rings and attainable
varieties*, Vestnik of
the

25. *Some properties of subalgebras in varieties of
linear *W*-algebras*, Soviet Mathematics - Sbornik, 1972, v. 12, No. 1 (v. 87, No. 1) ,
pp .67-82 (translated from Russian,
in collaboration)

26. *Subalgebras of the free topological algebras*, VI All-Union Topological Conference,

27. *Topological algebras with continuous operations*, VI
All-Union Topological Conference,

28. *Linear *W*-algebras and the Freiheitssatz*,
Vestnik of the Moscow University, 1972, v.27, No. 5, pp. 72-77 (in Russian)

29. *Central extensions in *

30. *Free products of linear *W*-algebras*, Russian
Mathematical Surveys, 1973, v. 28, No. 6, p. 195 (in Russian)

31. *Topological algebras with continuous operations*,
Notices of the

32. *Subalgebras of the free products of linear *W*-algebras*, Transactions of the
Moscow Mathematical Society, 1973, v. 29
(1976) , pp. 101-117
(translated from Russian, AMS, 1976)

33. *Malcev postulate for the free products of
topological groups*, III All-Union Symposium for general topology,

34. *Schreier varieties of linear algebras*,
Soviet Mathematics - Sbornik, 1974, v. 22, No. 4 (v. 93, No. 4), pp. 555-573 (translated from Russian)

35. *Free products in the varieties of groups*, Vestnik of the

36. *Kurosh varieties of linear algebras*, II All-Union Symposium on the theory of
rings, modules and algebras,

37. *Topological linear *W*-algebras*, II
All-Union Symposium on the theory of rings, modules and algebras,

38. *S-bounded products of linear *W*-algebras*, Matematicheskiye
Issledovaniya, 1974, v. 16, No. 3, pp. 39-52
(in Russian)

39. *The cancellation law and accessible classes of
linear *W*-algebras*, Matematicheskiye Zametki,
1974, v. 13, No. 6, pp. 467-478
(translated from Russian)

40. *Free products in group varieties, * Russian Mathematical Surveys, 1974, v.29, No.
6, pp. 159-160 (in Russian)

41. *Identities in linear *W*-algebras*,
Vestnik of the

42. *Linear *W*-algebras,
* Russian
Mathematical Surveys, 1975, v. 30, No. 4, pp. 61-106 (translated from Russian, in
collaboration)

43. *The set of Schreier varieties of linear *W*-algebras*, Vestnik of the

44. *Multiplication of varieties of linear *W*-algebras*,
Mathematics, Izvestiya VUZov, 1976, No. 5, pp. 3-14 (translated from Russian: Soviet
Mathematics, 1976, v. 20, No. 5)

45. *Varieties of linear *W*-algebras*, Russian Mathematical Surveys, 1976, v. 31,
No. 4, pp. 255-256 (in Russian)

46. *Relative closures and preclosures on sets*, Vestnik of the Moscow University, 1976, No.
6, p. 121 (in Russian, in
collaboration)

47. *Free subalgebras of topological algebras*,
Notices of the

48. *Non-classical models of natural numbers*,
Russian Mathematical Surveys, 1977, v. 32, No. 6, pp. 209-210 (in Russian)

49. *Some properties of the set of Schreier
varieties of linear *W*-algebras*, Notices of the American Mathematical
Society, 1979, v.26, No. 2

50. *Free sums of principal objects*,
Notices of the American Mathematical Society, 1979, v.26, No. 3

51. *Compactly generated algebras with continuous
operations*, International Topological Conference,

52. *Algebras with continuous systems of operations
freely generated by *k_{w}*-spaces*, IV Symposium on General
Topology, Tiraspol, 1979, pp. 147-151
(in Russian)

53. *Preclosures
and closures of relations*, in "Problems of
optimal algorithm realization",

54. *Representation of linear* W-*algebras in the form of a product*,
Mathematics: Izvestiya VUZov, 1980, v. 24, No. 10, pp. 6-14 (translated from Russian: Soviet
Mathematics, 1980, v. 24, No. 10, pp.1-12)

55. *Free algebras with continuous systems of
operations*, Russian Mathematical Surveys, 1980, v.35, No. 3, pp.
147-151 (translated from Russian)

56. *Reduction of algebras with infinite sets of
operations*, Abstracts of papers presented to the American
Mathematical Society, 1980, v. 1, No. 4

57. *Some toirsions in abelian categories with
principal objects*, Abstracts of papers presented to the American
Mathematical Society, 1980, v. 1, No. 5

58. *Dual arithmetics*,
Abstracts of papers presented to the American Mathematical Society, 1980, v. 1,
No. 6

59. *Kurosh varieties of linear **W**-algebras,* in "Problems of
group theory and homological algebra",

60. *Some generalizations of the theorems of Cauchy
and d'Alembert*, Abstracts of papers presented to the American
Mathematical Society, 1981, v. 2, No. 1

61. *Decision problems for linear *W*-algebras*, Abstracts of papers presented to the
American Mathematical Society, 1981, v. 2, No. 2

62. *Generalized Freiheitssatz in linear *W-*algebras with graded presentation*,
Abstracts of papers presented to the American Mathematical Society, 1981, v. 2,
No. 3

63. *Residual properties of linear *W*-algebras*, Abstracts of papers
presented to the American Mathematical Society, 1981, v. 2, No. 6

64. *Schreier and Kurosh varieties of Lie triple
systems*, Abstracts of papers presented to the American
Mathematical Society, 1981, v. 2, No. 7

65. *Operations induced by replica complete classes
of linear **W**-algebras*, XVI All-Union Algebraic Conference,

66. *On autoprojective principal objects*, Abstracts of papers presented to the American
Mathematical Society, 1982, v. 3, No. 2

67. *Decompositions of principally *q*-generated objects*,
Abstracts of papers presented to the American Mathematical Society, 1982, v. 3,
No. 3

68. *Subsemigroups of free products in varieties
of semigroups*, Abstracts of papers presented to the American
Mathematical Society, 1982, v. 3, No. 5

69. *Named sets and their subsets*, VI
All-Union Conference in Mathematical Logic,

70. *Algorithmic problems in linear algebras*,
All-Union Symposium on the Theory of Rings, Modules and Algebras, Novosibirsk,
1982, pp. 24-25 (in Russian)

71. *Principally generated objects in abelian
categories*, XVII All-Union Algebraic Conference,

72. *Extensions of Relations*, in
"Mathematical Linguistics and the Theory of Algorithms,"
Kalinin, 1983, pp. 5-12 (in Russian)

73. *Operators of closure for relations and binary
operations*, in
"Operation research and Automated Control Systems,"

74. *Subobjects in the categories of named sets,* Abstracts of papers presented to the American
Mathematical Society, 1983, v. 4, No. 2, p. 191 (in collaboration)

75. *Named sets and their categories*,
Abstracts of papers presented to the American Mathematical Society, 1983, v. 4,
No. 3, p. 291 (in collaboration)

76. *Named power-sets*, Abstracts of papers presented to the
American Mathematical Society, 1983, v. 4, No. 4, p. 312 (in collaboration)

77. *Multicardinals*,
Abstracts of papers presented to the American Mathematical Society, 1983, v. 4,
No. 7, p. 579

78. *Some properties of abelian categories with
principal objects*, in “The Theory of Semigroups and its
Applications,” Saratov, 1983, v. 6, pp.
99-112 (in Russian)

79. *Representation of Algebraic and Topological
Constructions by Means of Generalized Connected Relations, *in* * "Properties of
Semigroups,"

80. *Homomorphisms of a vector space into itself*, Abstracts of papers presented to the American
Mathematical Society, 1984, v. 5, No. 1

81. $-*varieties and their homomorphisms*,
Abstracts of papers presented to the American Mathematical Society, 1984, v. 5,
No. 2

82. *Some aspects of multicombinatorics*, Abstracts of papers presented to the
American Mathematical Society, 1984, v. 5, No. 4

83. *Functors in categories of named sets*, Abstracts of papers presented to the
American Mathematical Society, 1984, v. 5, No. 7

84. *Principally generated radicals in abelian
categories*,* *in "Problems
of group theory and homological algebra,"

85. *Galois Grouppoids*, XVIII All-Union Algebraic Conference, pt. 1,

86. *Approximation of Linear Algebras and Grouppoids*, in "Algebraic systems with one action and
relation,"

87. *Strict Kurosh varieties of semigroups*, Semigroup Theory and its Applications,

88. *New aspects of multicombinatorics*,
Abstracts of papers presented to the American Mathematical Society, 1985, v. 6,
No. 2

89. *Functional bisequences*,
Abstracts of papers presented to the American Mathematical Society, 1985, v. 6,
No. 3

90. *Order cardinality of named sets*,
Abstracts of papers presented to the American Mathematical Society, 1985, v. 6,
No. 4

91. 2-*distributions*, Abstracts of papers
presented to the American Mathematical Society, 1985, v. 6, No. 5

92. *Abstract theory of properties,* in "Non-classical Logics,"

93. *Mathematics*, in "Philosophical Dictionary,"

94. *Theory of Categories*, in "Philosophical Dictionary,"

95. *Probability Theory*, in
"Philosophical Dictionary,"

96. *Catastrophe Theory*, in "Philosophical Dictionary,"

97. *Mathematical Constructivism*, in "Philosophical Dictionary,"

98. *Constructive Logic*, in
"Philosophical Dictionary,"

99. *Continuum,* in
"Philosophical Dictionary,"

100.
*Operations
on spaces of distributions*,
Abstracts of papers presented to the American Mathematical Society,
1986, v. 7, No. 1

101.
*Algebras
of d-distributions*, Abstracts of papers presented to the American
Mathematical Society, 1986, v. 7, No. 2

102.
*Universality
of algebras of distributions*, Abstracts of papers
presented to the American Mathematical Society, 1986, v. 7, No.3

103.
*Upper
multicardinals*, Abstracts of papers presented to the American
Mathematical Society, 1986, v. 7, No.4

104.
*Logical
deductive varieties*, Abstracts of papers presented to the American
Mathematical Society, 1986, v. 7, No. 6, p. 431

105.
*Quantifiers
in the Theory of Properties*, in
"Nonstandard Semantics of Non-classical Logics," Moscow, 1986, pp. 99-107 (in Russian)

106.
*Cardinality
of named sets and multicardinal numbers,* VIII All-Union conference on
Mathematical Logic,

107.
*Operations with
named sets*, in "Ordered sets and lattices,"

108.
*Logical
model varieties*, Abstracts of papers presented to the American
Mathematical Society, 1987, v. 8, No. 1, p. 137

109.
*Compactness
Theorem for logical varieties*, Abstracts of papers presented to the American
Mathematical Society, 1987, v. 8, No. 3, p.283

110.
*Spaces
of *D*-numbers*, Abstracts of papers
presented to the American Mathematical Society, 1987, v.8, No.4

111.
*Generalized
measures and integration*,
Abstracts of papers presented to the American Mathematical Society,
1987, v. 8, No. 5

112.
*Induced
generalized measures*, Abstracts of papers presented to the American
Mathematical Society, 1987, v. 8, No. 6

113.
*Functor
semantics in categories of named sets, *in "Rationality,
Reasoning, Communication,"

114.
*Functor
operations in varieties of linear *W*-algebras*, in “The
Theory of Semigroups and its Applications,” No. 7,

115.
*Algebraic
structures of distributions*,* *Doklady
of the

116.
*Functional
integrals and **w**-integration*, Abstracts of papers presented to the American
Mathematical Society, 1988, v. 9, No. 1

117.
*Categories
as systems of named sets*, Abstracts of papers presented to the American
Mathematical Society, 1988, v. 9, No. 2

118.
*Functors
as mappings of named sets*, Abstracts of papers presented to the American
Mathematical Society, 1988, v. 9, No. 3

119.
*Counting
operations with named sets* , Abstracts of papers presented to the
American Mathematical Society, 1988, v. 9, No. 4

120.
*First
order model theories*, Abstracts of papers presented to the American
Mathematical Society, 1988, v. 9, No. 5

121.
*Asymptotic
series and **w**-numbers*, Abstracts of papers
presented to the American Mathematical Society, 1988, v. 9, No. 6

122.
*Arithmetical
hierarchy and inductive Turing machines,* Notices of the Academy of Sciences of the
USSR, 1988, 299, No. 3, pp. 530-533
(translated from Russian: v. 37, No.2, pp. 390-393)

123.
*Categorical
named sets*, Abstracts of papers presented to the American
Mathematical Society, 1989, v. 10, No. 2

124.
*Rules
of composition and c-categories*, Abstracts of papers presented to the
American Mathematical Society, 1989, v. 10, No. 3

125.
*Topological,
Algebraic and Logical Varieties as Named Sets*, Abstracts of papers
presented to the American Mathematical Society, 1989, v. 10, No. 5

126.
*Existential
and universal properties*,
Abstracts of papers presented to the American Mathematical Society,
1989, v. 10, No. 6

127.
*Hypermeasures
and hyperintegration, * Doklady
of the

128.
*Concepts,
Types and the Theory of Abstract Properties*, X All-Union
Conference for Mathematical Logic,

129.
*Arithmetic
of the multicardinal numbers, * X All-Union Conference for Mathematical Logic,

130.
*Extensions
of scientific theories and named sets, * X All-Union Conference for Mathematical
Logic,

131.
*Theory
of Named Sets as a Foundational Basis
for Mathematics*, in
"Structures in Mathematical Theories,"

132.
*Information
and language*, Abstracts of papers presented to the American
Mathematical Society, 1990, v. 11, No. 1

133.
*Formal
(syntactical) calculi of properties*, Abstracts of papers
presented to the American Mathematical Society, 1990, v. 11, No. 3

134.
*Generalized
product-measures*, Abstracts of papers presented to the American
Mathematical Society, 1990, v. 11, No. 4

135.
*Projective
operations in named sets*, Abstracts of papers presented to the American
Mathematical Society, 1990, v. 11, No. 5

136.
*Exact
formal calculi of properties*, Abstracts of papers
presented to the American Mathematical Society, 1990, v. 11, No. 6

137.
*Infinite-valued
measures and integration, *XVI School on the theory of operators in
functional spaces, Nijnii Novgorod, 1991, p.28 (in Russian)

138.
*Dynamic
information theory*, Abstracts of papers presented to the American
Mathematical Society, 1991, v. 12, No. 1

139.
*Measures
of information*, Abstracts of papers presented to the American
Mathematical Society, 1991, v. 12, No. 3

140.
*Independent
exposition of named sets theory*, Abstracts of papers
presented to the American Mathematical Society, 1991, v. 12, No. 4

141.
*Approximation
of fuzzy logics by logical varieties*, Abstracts of papers
presented to the American Mathematical Society, 1991, v. 12, No. 6

142.
*On
the Hahn-Banach theorem for hyperfunctionals,* Doklady of the
Ukrainian Academy of Sciences, 1991, No.
7, pp. 9-14 (in Russian, in
Ukrainian)

143.
*Hyperfunctionals
in linear spaces*, Abstracts of papers presented to the American
Mathematical Society, 1991, v. 12, No. 5

144.
*Fuzzy
optimization on matrix sets*, EURO
XI, 11 European Congress on Operational Research, Aachen, 1991, p. 39

145.
*Categories,
semigroups and named sets,* Semigroup Theory and Applications,

146.
*Named
set compositions in categories*, in "Problems of group theory and
homological algebra,"

147.
*Continuity
Measures of Mappings of Topological Spaces,
* IX
International Conference on Topology and its Applications Kiev, 1992, p.
63 (in collaboration)

148.
*Topological
spaces of extrafunctions*, IX International Conference on Topology and
its Applications,

149.
*Fuzzy
sets as named sets, *Fuzzy
sets and systems, 1992, v. 46, No. 2,
pp. 189-192 (in
collaboration)

150.
*Topological
Characterization of Hypernumbers*, VIII Summer Conference on
General Topology and Applications,

151.
*Continuity
Defect for Mappings of Topological Spaces*, VIII Summer
Conference on General Topology and Applications,

152.
*Towards
the theory of continuity defect and continuity measure for mappings of metric
spaces*, in
"Matematika" Acta Univ. Latv., No. 576, Riga, 1992, pp. 45-62 (in collaboration)

153.
*Logical
varieties and the Gödel theorem*, XI International
conference on mathematical logic,

154.
*Incompleteness
Theorem for Logical Varieties*, Abstracts of papers
presented to the American Mathematical Society, 1992, v. 13, No. 1, p. 191

155.
*On
one theorem of neoclassical analysis*, Abstracts of papers
presented to the American Mathematical Society, 1992, v. 13, No. 3, p. 339

156.
*Nonstandard
Function Theory*, Abstracts of papers presented to the American
Mathematical Society, 1992, v. 13, No. 4, pp. 405-405

157.
*Construction
Axioms for Nonstandard Analysis*, Abstracts of papers
presented to the American Mathematical Society, 1992, v. 13, No. 5, pp. 512-513

158.
*Construction
axioms for hypernumbers*, Abstracts of papers presented to the American
Mathematical Society, 1992, v. 13, No. 6, p. 533

159.
*Algebraic
Structures of Multicardinal Numbers*, in "Problems of group theory and
homological algebra,"

160.
*Spaces
of extrafunctions*, Abstracts of papers presented to the American
Mathematical Society, 1993, v. 14, No. 2

161.
*Expressive
possibilities of deductive methods in mathematics*,
XIX World Congress of Philosophy, Abstracts, v.1,

162.
*Fuzzy
continuous mappings*, Abstracts of papers presented to the American
Mathematical Society, 1993, v. 14, No.
3 (in collaboration)

163.
*Two
approaches to continuity measure*, Abstracts of papers
presented to the American Mathematical Society, 1993, v. 14, No. 3

164.
*Universal
theory of integration: General approach*, Abstracts of papers
presented to the American Mathematical Society, 1993, v. 14, No. 5

165.
*An
Axiomatic System for the Theory of Named Sets*, in “The Theory of
Semigroups and its Applications,” No.11, Saratov, 1993, pp. 8-17 (in Russian)

166.
*Universal
theory of integration: Riemann model*, Abstracts of papers
presented to the American Mathematical Society, 1993, v. 14, No. 6

167.
*Space-time
manifold as a dynamic scale*, Abstracts of papers presented to the American
Mathematical Society, 1993, v. 14, No. 7

168.
*Differential
Calculus For Extrafunctions*,
Doklady of the

169.
*Fuzzification
of the theory of continuous functions,* Fuzzy Sets and Systems, 1994, v. 62, No. 1,
pp. 71-81 (in collaboration)

170.
*Hypernumbers
and fuzzy convergence*, Abstracts of papers presented to the American
Mathematical Society, 1994, v.15, No.1

171.
*Problems
of mathematical analysis teaching: from classical to neoclassical analysis*, International Congress of Mathematicians,

172.
*Cardinal
typology of sets,*
Abstracts of papers presented to the American Mathematical Society,
1994, v.15, No. 4 (in
collaboration)

173.
*Sequences,
series and hypernumbers*, Abstracts of papers presented to the American
Mathematical Society, 1994, v.15, No. 5

174.
*Law
of inverse ratio*, Abstracts of papers presented to the American
Mathematical Society, 1994, v.15, No.7

175.
*Logical
Modeling of Scientific Theories*, in “Theories and Models in
Scientific Processes”,

176.
*Fundamental
Base of the Theory of Triads*, Idea, 1994, No. 2, pp.
32-45 (in Ukrainian)

177.
*Dynamic
scales in unified theories*,
Abstracts of papers presented to the American Mathematical Society,
1995, v. 16, No. 1

178.
*Local
and global integration*, Abstracts of papers presented to the American
Mathematical Society, 1995, v. 16, No. 2

179.
*A
new criterion of continuity of real functions*, Abstracts of papers
presented to the American Mathematical Society, 1995, v.16, No. 2

180.
*Generalized
Baire theorem*, Abstracts of papers presented to the American
Mathematical Society, 1995, v.16, No. 3

181.
*Formal
Theory of Time*, Abstracts of papers presented to the American
Mathematical Society, 1995, v.16, No. 3

182.
*Universal
theory of integration: Daniel integral*, Abstracts of papers
presented to the American Mathematical Society, 1995, v.16, No. 4

183.
*Hypermetrics
and hyperspaces*,
Abstracts of papers presented to the American Mathematical Society,
1995, v.16, No. 4

184.
*A
method of solving operator equations by means of the theory of hypernumbers*,
Doklady of the National Academy of Sciences of Ukraine, 1995, No. 8, pp.
27-30 (in Russian, in collaboration)

185.
*Neoclassical
Analysis: Fuzzy Continuity and Convergence*, Fuzzy Sets and
Systems, 1995 v.75, No. 2, pp. 291-299

186.
*Integral
Calculus for Extrafunctions*,
Doklady of the National Academy of Sciences of Ukraine, 1995, No. 11,
pp. 14-17

187.
*Similarity
loops in time*, Abstracts of
papers presented to the American Mathematical Society, 1996, v.17, No. 1

188.
*Universal
theory of differentiation: General approach*, Abstracts of papers presented to the
American Mathematical Society, 1996, v.17, No. 1

189.
*Leibnitz-Newton
theorem in the universal theory of integration*,
Abstracts of papers presented to the American Mathematical Society, 1997, v.18,
No. 1

**190. ***Non-Diophantine
Arithmetics or is it Possible that 2+2 is not Equal to 4***? **** **(in Russian)

191.
*Calculus
of Abstract Properties*,* *International
conference "Smirnov's

192.
*Approaches
to the Notion of the Actual Infinity in
Mathematics*, in "Infinity in Mathematics,"

193.
*Stratified
Universal Algebras*, International Algebraic Conference dedicated
to the Memory of Prof. L.M.Gluskin,

194.
*Hypernormed
Spaces and Algebras*, International Algebraic Conference dedicated
to the Memory of Prof. L.M.Gluskin,

195. *Methodological and Theoretical
Problems of Mathematics***, Informatics and Computer Science**, Ukrainian Academy of Information Sciences,
Kiev, 1997, 106 p. (Editor, in
Russian)

196.
*Logical
Varieties and Covarieties*, in
"Methodological and Theoretical Problems
of Mathematics, Informatics and Computer Sciences,"

197.
*Superposition
of Fuzzy Continuous Functions*, in "Methodological and Theoretical
Problems of Mathematics, Informatics and Computer Sciences," Ukrainian
Academy of Information Sciences,

198.
*Extended
Fixed Point Theorem*, in "Methodological and Theoretical
Problems of Mathematics, Informatics and Computer Sciences," Ukrainian

199.
*Functions
with finite fluctuation*,
Abstracts of papers presented to the American Mathematical Society,
1997, v.18, No. 3 (in collaboration)

200.
*Foundations
of Mathematics Revisited*, Abstracts of papers presented to the American
Mathematical Society, 1997, v.18, No. 2

201.
*Discontinuous
Topology*, Abstracts of
papers presented to the American Mathematical Society, 1997, v.18, No. 2

202.
*Relativized
fuzzy continuous functions*,
Abstracts of papers presented to the American Mathematical Society,
1997, v.18, No. 2

203.
*Fuzzy
fixed point theorem*, Abstracts of papers presented to the American
Mathematical Society, 1997, v.18, No. 4

204.
** On the Nature and Essence of Mathematics**,

205.
*Finite
and Infinite*, in "On the Nature and Essence of** **Mathematics, Appendix,"

206.
*Spaces
of the Fuzzy Continuous Functions,* in "On the Nature and Essence of** **Mathematics, Appendix," Ukrainian
Academy of Information Sciences,

207.
*One-sided
Defects of Continuity and Fuzzy Continuous Functions*, in
"On the Nature and Essence of** **Mathematics,
Appendix," Ukrainian Academy of Information Sciences,

208.
*Multicombinatorics:
Combinatorial Problems in the Theory of Named Sets*, in
"On the Nature and Essence of** **Mathematics,
Appendix,"

209.
*Paraconsistent
Logics and Logical Varieties,* in "On the Nature and
Essence of** **Mathematics,
Appendix,"

210.
*Weak
Deductive Covarieties, *Abstracts
of papers presented to the American Mathematical Society, 1998, v.19, No. 2

211.
*Fuzzy
Continuity in Analysis, * 7^{th}
International Scientific Kravchuk Conference,
Kyiv, 1998, p. 72 (in
Ukrainian, in collaboration)

212.
*Extended
Fuzzy Continuity*,
Abstracts of papers presented to the American Mathematical Society,
1999, v.20, No. 1

213.
*Fuzzy
Contractions and Fixed Points*, Abstracts of papers
presented to the American Mathematical Society, 1999, v.20, No. 2, p. 392 (942^{nd} AMS Meeting,

214.
*Categories
and Populations*,
Abstracts of papers presented to the American Mathematical Society,
1999, v.20, No. 2, p. 414

215.
*Relatively
Continuous Mappings of Topological Spaces*, Abstracts of the 14^{th}
Summer Conference on General Topology and Applications,

216.
*Related
Hypernumbers*, Abstracts of
papers presented to the American Mathematical Society, 1999, v.20, No. 4, p.
699

217.
*Fuzzy
Completeness of Metric Spaces*, Abstracts of papers presented to the
American Mathematical Society, 1999, v.20, No. 4, pp. 699-700

218.
*General
Approach to Continuity Measures*, Fuzzy Sets and Systems, 1999, v. 105, No. 2,
pp. 225-231

219.
*Theory
of Hypernumbers and Feynman Integrals*, Abstracts of papers
presented to the American Mathematical Society, 2000, v.21, No. 1, p. 71

220.
*General
Compactness Theorem*,
Abstracts of papers presented to the American Mathematical Society,
2000, v.21, No. 1, p. 249

221.
*Axiomatic
Representation of the Enhanced Banzhaf Power Index*, in
“11^{th} International Conference on Game Theory”, Book of Abstracts,
Stony Brook, 2000, pp. 17-18 (in
collaboration)

222.
*Extremum
Criteria in Neoclassical Analysis*, Abstracts of papers
presented to the American Mathematical Society, 2000, v.21, No. 3, p. 424

223.
*Differentiation
in Neoclassical Analysis*, Abstracts of papers presented to the American
Mathematical Society, 2000, v.21, No. 3, p. 501

224.
*A
Historical Perspective in Teaching Science and Mathematics*,
The Journal of Interdisciplinary Studies, v. 13, Fall 2000, pp. 1-11

225.
*Theory
of Fuzzy Limits*, Fuzzy
Sets and Systems, 2000, v. 115, No. 3, pp. 433-443

226.
*Enhanced
Banzhaf Power Index and its Mathematical Properties*,
Department of Economics and Mathematics, University of California, Los Angeles,
Report W - 797, 2000, 33 p. (in collaboration)

227.
*Differential
Intermediate Value Theorem*, Abstracts of papers presented to the American
Mathematical Society, 2001, v.22, No. 1, p. 269

228.
*Extrafunctions,
Distributions, and Nonsmooth Analysis*, University of California,
Los Angeles, Mathematics Report Series, MRS Report 01-02, 2001, 48 p.

229.
*Fuzzy
Differentiation of Real Function*,

230.
*Linear
Differential Equations and Extrafunctions*, University of
California, Los Angeles, Mathematics Report Series, MRS Report 01-04, 2001, 35
p. (in collaboration)

231.
*Theory
of Real Hypernumbers*: *Properties
and Axiomatization*, Elsevier, Preprint 0107062, 2001, 42 p. (electronic
edition: http://www.mathpreprints.com/math/Preprint/ changed to
http://www.sciencedirect.com/preprintarchive)

232.
*How
we Count or is it Possible that Two Times Two is not Equal to Four*, Elsevier, Preprint
0108003, 2001; Science
Direct Working Paper No S1574-0358(04)70635-8
(https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3153531) 12 p. (electronic
edition: http://www.mathpreprints.com/math/Preprint/ changed to
http://www.sciencedirect.com/preprintarchive)

233.
*Classes
of Extrafunctions*, Abstracts of papers presented to the American
Mathematical Society, 2001, v.22, No. 2, p. 432-433

234.
*Optimization
Principle for Coalition Formation in Political Games*, in
“12^{th} International Conference on Game Theory”, Book of Abstracts,
Stony Brook, 2001, p. 14 (in
collaboration)

235.
*Fuzzy
Derivatives and Monotonous Functions*, Elsevier, Preprint
0108017, 2001, 36 p. (electronic
edition:
http://www.mathpreprints.com/math/Preprint/ changed to http://www.sciencedirect.com/preprintarchive)

236.
*Continuity
and Connectedness in Discontinuous Topology*, University of
California, Los Angeles, Mathematics Report Series, MRS Report 01-06, 2001, 28
p.

237.
*Diophantine
and Non-Diophantine Aritmetics*: *Operations with Numbers in Science and Everyday Life*, LANL, Preprint
Mathematics GM/0108149, 2001, 27 p.
(electronic edition:
http://arXiv.org)

238.
*Mathematics
as a Natural Science*, Fall Meeting of the

239.
*Fuzzy
Sets of Strong, Weak, and Conditional Derivatives*,
Elsevier, Preprint 0110014, 2001, 41 p.
(electronic edition:
http://www.mathpreprints.com/math/Preprint/ changed to http://www.sciencedirect.com/preprintarchive)

240.
*Measure
Dependable Extrafunctions*, Abstracts of papers presented to the American
Mathematical Society, 2001, v.22, No. 4, p. 571-572 (972^{nd} AMS Meeting,

241.
*Generalized
Solutions for the Cauchy Problem for Partial Differential Equations*,
Abstracts of papers presented to the American Mathematical Society, 2001, v.22,
No. 4, p. 574 (972^{nd} AMS
Meeting,

242.
*Uncertainty
and Imprecision in Analytical Context*:* Fuzzy Limits and Fuzzy Derivatives*, International Journal of
Uncertainty, Fuzziness and Knowledge-Based Systems, v. 9, No. 5, 2001, pp.
563-685

243.
*Mistakes,
Fallacies, and Misconceptions in the History of Mathematics*, Abstracts
of papers presented to the American Mathematical Society, 2002, v.23, No. 1, p.
198 (Joint Mathematics Meeting, San
Diego, California, January 6-9, 2002)

244.
*Cauchy-Kowalewski
Theorem for Extended Distributions*, Abstracts of papers
presented to the American Mathematical Society, 2002, v.23, No. 1, p. 97 (Joint Mathematics Meeting, San Diego,
California, January 6-9, 2002)
(in collaboration)

245.
*Extended
Distributions and Hyperfunctionals*, Abstracts of papers
presented to the American Mathematical Society, 2002, v.23, No. 1, p. 126 (Joint Mathematics Meeting, San Diego,
California, January 6-9, 2002)

246.
*Conditional
Convergence and Nearness Based Limits*, Abstracts of the 6^{th}
International Conference FSTA 2002 on Fuzzy Sets Theory and its Applications,
Liptovsky Jan,

247.
*Theory
of Hypernumbers and Extrafunctions: Functional Spaces and Differentiation*,
Discrete Dynamics in Nature and Society, v. 7, No. 3, 2002, pp. 201-212

248.
*Conditional
Fuzzy Convergence of Sequences and Numerical Computation*,
Abstracts of papers presented to the American Mathematical Society, 2002, v.23,
No. 4, p. 560 (in collaboration)

249.
*Multiplication
of Hypernumbers and Extrafunctions*, Abstracts of papers
presented to the American Mathematical Society, 2003, v.24, No. 3, p. 471 (987^{th} AMS Meeting,

250.
*Monotonicity,
Fuzzy Extrema, and Fuzzy Conditional Derivatives of Real Functions*,
University of California, Los Angeles, Mathematics Report Series, MRS Report
03-13, 2003, 73 p.

251.
*Fixed
Points in Fuzzy Dynamical Systems*, Abstracts of papers
presented to the American Mathematical Society, 2004, v.25, No. 1, p.
97-98 (Joint Mathematics Meeting,
Phoenix, Arizona, January 7-10, 2004)
(in collaboration)

252.
*Recurrent
Points in Fuzzy Dynamical Systems of the First Type*,
Abstracts of papers presented to the American Mathematical Society, 2004, v.25,
No. 1, p. 106 (Joint Mathematics
Meeting, Phoenix, Arizona, January 7-10, 2004)

253.
*Fuzzy
Fixed Points in Banach Spaces*, Abstracts of papers
presented to the American Mathematical Society, 2004, v.25, No. 1, p. 119 (Joint Mathematics Meeting, Phoenix,
Arizona, January 7-10, 2004)

254.
*Named
Set Theory Axiomatization*: **T**_{NZ}
*Theory*, (February 2004).
Mathematics Preprint Archive Vol. 2004, Issue 2, pp 333-344 (Available at SSRN:
https://ssrn.com/abstract=3177551) [ Elsevier, Preprint
0402024, 2004 (electronic edition: http://www.mathpreprints.com/math/Preprint/
changed to Science Direct Working Paper No
S1574-0358(04)70044-1 http://www.sciencedirect.com/preprintarchive)]

255.
*Unified
Foundations of Mathematics*, Preprint in Mathematics LO/0403186, 2004, 39
p. (electronic edition: http://arXiv.org)

256.
*The fundamental
Theorem of Calculus for infinite intervals*, Abstracts of papers
presented to the American Mathematical Society, 2004, v.25, No. 3, p. (996^{th} AMS Meeting,

257.
*Topological
Spaces of Extended Hypernumbers*, Abstracts of papers
presented to the American Mathematical Society, 2004, v.25, No. 3, p. (996^{th} AMS Meeting,

258.
*Hyperfunctionals
and Generalized Distributions*, in “Stochastic Processes
and Functional Analysis” (Eds. Krinik, A.C. and Swift, R.J.; A Dekker Series of
Lecture Notes in Pure and Applied Mathematics, v.238) 2004, pp. 81 – 119

259.
*Fuzzy
Optimization of Real Functions*, International Journal of
Uncertainty, Fuzziness and Knowledge-Based Systems, 2004, v. 12, No. 4, pp.
471-497

260.
*Compatibility
in Logical Varieties*, Bulletin of Symbolic Logic, 2004, v. 10, No.
2, p. 288 * *(Association for Symbolic Logic, 2003-2004
Winter Meeting in Phoenix)

261.
*PDE
and Extrafunctions*, Rocky Mountain Journal of Mathematics, 2004,
v. 34, No. 3, pp. 849-867 (in
collaboration)

262.
*Discontinuity
Structures in Topological Spaces*, International Journal of
Pure and Applied Mathematics, 2004, v. 16, No. 4, pp. 485-513

263.
*Fuzzy
Conditional Convergence and Nearness Relations*,
Fuzzy Sets and Systems, 2005, v. 149, No. 3, pp. 383-398 (in collaboration)

264.
*Calculus versus topology: comprehension versus abstraction*, Fuzzy Sets and Systems, 2005, v. 149, No. 3, pp.
413-414 (in collaboration)

265.
*Nonlinear
Cauchy-Kowalewski Theorem in Extrafunctions*, University of
California, Los Angeles, Mathematics Report Series, MRS Report 05-02, 2005, 40
p.

266.
*Recurrent
Points of Fuzzy Dynamical Systems*, Journal of Dynamical
Systems and Geometric Theories, 2005, v. 3, No. 1, pp.1-14

267.
*Topology
in Nonlinear Extensions of Hypernumbers*, Discrete Dynamics in
Nature and Society, v. 10, No. 2, 2005, pp. 145-170

268.
*Series
Summation in Hypernumbers*, University of California, Los Angeles,
Mathematics Report Series, MRS Report 05-07, 2005, 27 p.

269.
*Fuzzy
Continuity in Scalable Topology*, Preprint in Mathematics** **math. GN/0512627, 2005, 30 p. (electronic edition: http://arXiv.org)

270.
*Hypermeasures
in General Spaces*, International Journal of Pure and Applied
Mathematics, 2005, v. 24, No. 3, pp. 299-323

271.
*Nonuniform
Operations on Named Sets*, 5^{th} Annual International
Conference on Statistics, Mathematics and Related Fields, 2006 Conference
Proceedings, Honolulu, Hawaii, January, 2006, pp. 245-271

272.
*Scalable
Topological Spaces*, 5^{th} Annual International
Conference on Statistics, Mathematics and Related Fields, 2006 Conference
Proceedings, Honolulu, Hawaii, January, 2006, pp. 1865-1896

273.
*Statistical
Convergence and Convergence in Statistics*, Preprint in
Mathematics,** **math.GN/0612179, 2006,
27 p. (electronic edition: http://arXiv.org) (in collaboration)

274.
* Fuzzy Limits of Functions*,
Preprint in Mathematics,** **math. CA/0612676,
2006, 21 p. (electronic edition: http://arXiv.org)

275.
*Languages,
Algorithms*,* Procedures*,* Calculi*,* and Metalogic*, Preprint in Mathematics LO/0701121, 2007, 31
p. (electronic edition: http://arXiv.org)

276.
*Elements
of Non-Diophantine Arithmetics*, 6^{th} Annual
International Conference on Statistics, Mathematics and Related Fields, 2007
Conference Proceedings, Honolulu, Hawaii, January, 2007, pp. 190-203

277.
*Fuzzy
Integration*, 6^{th} Annual International Conference on
Statistics, Mathematics and Related Fields, 2007 Conference Proceedings,
Honolulu, Hawaii, January, 2007, pp. 167-189

278.
*Fuzzy
Summation of Series*, University of California, Los Angeles,
Mathematics Report Series, MRS Report 07-01, 2007, 26 p.

279.
*Problems
of Scalable Topology*, Abstracts of papers presented to the American
Mathematical Society, 2008, v.29, No. 1, pp. 152-153 (Joint Mathematics Meeting, San Diego,
January 6-9, 2008)

280.
*From
Classical Analysis to Neoclassical Analysis*, Abstracts of papers
presented to the American Mathematical Society, 2008, v.29, No. 1, pp.
324-325 (Joint Mathematics Meeting, San
Diego, January 6-9, 2008)

281.
*Neoclassical Analysis***: Calculus closer to the Real
World**

282.
*Fuzzy
Statistical Limits*, Preprint in Mathematics,** **math.CA/0803.4019, 2008, 17 p.
(electronic edition:
http://arXiv.org) (in
collaboration)

283.
*Arithmetics
where almost all numbers are even*, Abstracts of papers
presented to the American Mathematical Society, 2008, v.29, No. 3, p. 538 (1039^{th} AMS Meeting, Claremont
McKenna College, Claremont, California, May 3-4, 2008, pp. 29-30)

284.
*Linear
Operators in Hypernormed Spaces*, Abstracts of papers
presented to the American Mathematical Society, 2008, v.29, No. 3, p. 556 (1039^{th} AMS Meeting, Claremont
McKenna College, Claremont, California, May 3-4, 2008, p. 47)

285.
*Inequalities
in series and summation in hypernumbers*, in Advances in
Inequalities for Series (Dragomir, S. and Sofo, A., Eds), Nova Science
Publishers,

286.
*Properties
of Fuzzy Statistical Limits*, Journal of Intelligent & Fuzzy Systems,
2008, v. 19, No. 6, pp. 385-392 (in
collaboration)

287. *Statistical Fuzzy Convergence*, International Journal of Uncertainty, Fuzziness
and Knowledge-Based Systems, 2008, v. 16, No. 6, pp. 879-902 (in collaboration)

288.
*Hyperintegration
Approach to the Feynman Integral*, Integration: Mathematical
Theory and Applications, v. 1, No. 1, 2008/2009, pp. 59-104 * *(reprinted in: Advances in Analysis:
Problems of Integration (M. Burgin, Ed), Chapter 2, Nova Science Publishers,

289.
*Generalized
Spaces of Random Variables*, Abstracts of papers presented to the American
Mathematical Society, 2009, v.30, No. 1, p. 206-207 (Joint Mathematics Meeting, Washington,
D.C., January 6-9, 2009) (in
collaboration)

290.
*Radon-Nikodym
Theorem for Hypermeasures*, Abstracts of papers presented to the American
Mathematical Society, 2009, v.30, No. 1, p. 99 (Joint Mathematics Meeting, Washington,
D.C., January 6-9, 2009) (in collaboration)

291.
*Probabilities
and Hyperprobabilities*, 8^{th} Annual International
Conference on Statistics, Mathematics and Related Fields, 2009 Conference
Proceedings, Honolulu, Hawaii, January, 2009, pp. 351-367 (in collaboration)

292.
*Structures
in mathematics and beyond*, 8^{th} Annual International
Conference on Statistics, Mathematics and Related Fields, 2009 Conference
Proceedings,

293.
*Hyperprobabilities*,
Abstracts of papers presented to the American Mathematical Society, 2009, v.30,
No. 4, p. (1039^{th} AMS Meeting,

294.
*Extending
the Radon-Nikodym Theorem to Hypermeasures*, Abstracts of papers
presented to the American Mathematical Society, 2009, v.30, No. 4, p. (1039^{th} AMS Meeting,

295.
*Extended
Probabilities*: *Mathematical
Foundations*, Preprint in Physics,** **math-ph/0912.4767,
2009, 18 p. (electronic edition: http://arXiv.org)

296.
*Fuzzy approximate continuity*, Journal of Intelligent &
Fuzzy Systems, 2009, v. 20, No. 6, pp. 225-233 (in
collaboration)

297.
*Continuity
in Discrete Sets*, Preprint in Mathematics,** **math.CA/1002.0036, 2010, 21 p.
(electronic edition:
http://arXiv.org)

298.
*Interpretations
of Negative Probabilities*, Preprint in Quantum Physics,** **quant-ph/1008.1287, 2010, 17 p. (electronic edition: http://arXiv.org)

299.
*Nonlinear
Partial Differential Equations in Extrafunctions*,
Integration: Mathematical Theory and Applications, v. 2, No. 1, 2010, pp. 17-50

300.
*Mathematical
Theory of Negative Probability and Models of Financial Processes*,
Abstracts of papers presented to the American Mathematical Society, 2010, v.31,
No. 4, p. 740 (1063^{rd} AMS Meeting,

301.
*Conditional
Hyperprobability*, Abstracts of papers presented to the American
Mathematical Society, 2010, v.31, No. 4, p. 740 (1063^{rd} AMS Meeting,

302.
*Introduction
to Projective Arithmetics*, Preprint in Mathematics,** **math.GM/1010.3287, 2010, 21 p.
(electronic edition:
http://arXiv.org)

303.
*Structure
Integration*, Integration: Mathematical Theory and Applications,
v. 2, No. 2, 2010, pp. 167-212

304.
*Introduction
to Conditional Hyperprobabilities*, Integration: Mathematical
Theory and Applications, v. 2, No. 3, 2010/2011, pp. 285 - 304 (in collaboration)

305.
*Negative
Probabilities in Modeling Random Financial Processes*,
Integration: Mathematical Theory and Applications, v. 2, No. 3, 2010/2011, pp.
305 - 322 (in collaboration)

306.
*Probability
and other Integral Characteristics of Random Phenomena*,
Integration: Mathematical Theory and Applications, v. 2, No. 3, 2010/2011, pp.
v-viii (in collaboration)

307.
*Integration
in Bundles with a Hyperspace Base*:* Indefinite Integration*, Integration: Mathematical Theory and
Applications, v. 2, No. 4, 2010/2011, pp. 395-435 (reprinted in *Topics in Integration Research* (M.
Burgin, Ed), Chapter 5, Nova Science Publishers, New York, 2013, pp. 99-138)

308. *Approximations by
Linear Operators in Spaces of Fuzzy Continuous Functions*, Positivity, v. 15, No. 1, 2011, pp. 57-72 (in collaboration)

309.
*Birth-Death
Markov Chains Having Hyper-Probability Transitions*,
Abstracts of papers presented to the American Mathematical Society, 2011, v.32,
No. 1, p. 234 (Joint Mathematics
Meeting, New Orleans, Louisiana, January 4-9, 2011) (in collaboration)

310.
*Negative Probabilities in Financial Modeling*, Social Science Research Network, Economic
Network (FEN), Social Science Electronic Publishing, Preprint in Social
Science, 2011 (electronic edition: http://papers.ssrn.com/) also in: DefaultRisk.com, 2009 (electronic edition: http://
www.defaultrisk.com/pp_quant_06.htm)
(in collaboration)

311.
** Theory of Named Sets**, Nova Science Publishers, New York, 2011

312.
*Approximate Fuzzy Continuity of Functions*,** **International Journal of Fuzzy System
Applications (IJFSA),** ** v. 1, No.
4, 2011, pp. 37-46
(in collaboration)

313.
*Differentiation
in Bundles with a Hyperspace Base*, Preprint in Mathematics,** **math.CA/1112.3421, 2011, 27 p. (electronic edition: http://arXiv.org)

314.
*The Gambler’s
Run Problem for a Class of Non-stationary Markov Chains*,* *Abstracts of papers presented to the
American Mathematical Society, 2012, v.33, No. 1, p. (Joint Mathematics Meeting,

315.
*Fuzzy
Continuous Functions in Discrete Spaces*, The Annals of Fuzzy Sets, Fuzzy Logic and Fuzzy Systems, v. 1, No. 4,
2012, pp. 231 - 252

316. *Advances
in Analysis***: Problems of Integration**,
Nova Science Publishers, New York, 2012 (Editor)

317.
*Negative
Probabilities in Financial Modeling*, Wilmott Magazine, March
2012, pp. 60 - 65 (in collaboration)

318.
*Integration
in Bundles with a Hyperspace Base*:* Definite Integration*, Integration: Mathematical Theory and
Applications, v. 3, No. 1, 2012, pp. 1-54

319.
*Larger
than One Probabilities in Mathematical and Practical Finance*, Review of Economics & Finance, v. 2, No
4, 2012, pp. 1-13 (in
collaboration)

320.
*Hypernumbers and Extrafunctions***: Extending the Classical Calculus**,
Springer, New York, 2012

321.
*Integrating random properties and the concept of probability*,
Integration: Mathematical Theory and Applications, v. 3, No. 2, 2012, pp. 137 -
181

322.
*Hyperintegration
Approach to the Feynman Integral*, Advances in Analysis:
Problems of Integration (M. Burgin, Ed), Chapter 2, Nova Science Publishers,
New York, 2012, pp. 25-69 (an updated
version of *Integration*, v. 1, No. 1,
2008/2009)

323.
*Hyperexpectations
and random variables without expectations*, Integration:
Mathematical Theory and Applications, v. 3, No. 3, 2012, pp. 245-267 (in collaboration)

324.
*Functional
integrals, path integrals and the theory of hyperintegration*,
Integration: Mathematical Theory and Applications, v. 3, No. 3, 2012, pp.
269-304

325. *Lithium Battery Temperature Prediction*,* *Integration:
Mathematical Theory and Applications,* *v.
3, No. 4, 2012, pp. 319 – 331 (in
collaboration)

326.
*Inequalities for functional integrals in the context
of hyperintegration*, Integration:
Mathematical Theory and Applications,* *v.
3, No. 4, 2012, pp. 347 - 364

327.
*Definite Integral*: *Basic Approaches*,* *Integration: Mathematical Theory and
Applications,* *v. 3, No. 4, 2012, pp.
383 - 396

328.
*Feynman
integral in the context of hyperintegration*, Abstracts of papers
presented to the American Mathematical Society, 2013, v. 34, No. 1, pp. 197 (Joint Mathematics Meeting, San Diego,
January 9-12, 2013)

329.
*Mathematical
tools for modeling negative interest rates*, Abstracts of papers
presented to the American Mathematical Society, 2013, v. 34, No. 1, pp.
243 (Joint Mathematics Meeting, San
Diego, January 9-12, 2013) (in
collaboration)

330.
*What
to do with random variables that don’t have expectations*,
Abstracts of papers presented to the American Mathematical Society, 2013, v.
34, No. 1, pp. 244 (Joint Mathematics
Meeting,

331.
*Neoclassical Analysis as a Tool for Optimization*, in Recent Advances in Mathematics, Proceedings
of the 19^{th} WSEAS American Conference on Applied Mathematics
(AMERICAN-MATH’13), Cambridge, MA, USA, January-February, 2013, pp. 16 - 17, 46
– 51

332.
*Fuzzy Optimization with Constraints*, in Recent Advances in Mathematics, Proceedings
of the 19^{th} WSEAS American Conference on Applied Mathematics
(AMERICAN-MATH’13), Cambridge, MA, USA, January-February, 2013, pp. 52 – 57

333.
*Convergence without Limits*, in Recent Advances in Mathematics, Proceedings
of the 19^{th} WSEAS American Conference on Applied Mathematics
(AMERICAN-MATH’13), Cambridge, MA, USA, January-February, 2013, pp. 58 - 62

334. *Fuzzy
Continuity of Almost Linear Operators*,
International Journal of Fuzzy System Applications (IJFSA), v. 3, No. 1, 2013, pp. 140-150

335. *Semitopological
Vector Spaces and Hyperseminorms*,
Theory and Applications of Mathematics and Computer Science, v. 3, No. 2, 2013,
pp. 1 - 35

336.
*Negative probability in the framework of combined probability*,
Preprint in Probability (math.PR), 1306.1166, 2013, 28 p. (electronic edition: http://arXiv.org)

337.
*Named
Sets and Integration of Structures*, in Topics in Integration
Research (M. Burgin, Ed), Chapter 4, Nova Science Publishers,

338.
*Nonlinear
Cauchy-Kowalewski Theorem in Extrafunctions*, in Topics in
Integration Research (M. Burgin, Ed), Chapter 9, Nova Science Publishers,

339.
*Properties
of Conditional Hyperprobabilities*, in Topics in Integration
Research (M. Burgin, Ed), Chapter 15, Nova Science Publishers, New York, 2013,
pp. 265-288 (in collaboration)

340.
*Mathematical
Models in Finance and Negative Probability*, in Topics in
Integration Research (M. Burgin, Ed), Chapter 16, Nova Science Publishers, New
York, 2013, pp. 289-312 (in collaboration)

341.
*Topics in Integration*** Research**,
Nova Science Publishers,

342.
*Operations
with Extrafunctions and Integration in Bundles with a Hyperspace Base*, in
Functional Analysis and Probability (M. Burgin, Ed), Chapter 1, Nova Science
Publishers, New York, 2015, pp. 3 - 76

343.
*Hyperintegration
in Functional Spaces*, Functional Analysis and Probability (M.
Burgin, Ed), Chapter 3, Nova Science Publishers, New York, 2015, pp. 89 - 126

344.
*Directions
and Methods in Integration*, in Functional Analysis and Probability (M.
Burgin, Ed), Chapter 4, Nova Science Publishers, New York, 2015, pp. 127 - 146

345.
*Hyperintegral
Inequalities*, in Functional Analysis and Probability (M. Burgin,
Ed), Chapter 7, Nova Science Publishers, New York, 2015, pp. 173 - 198

346.
*Hyperexpectation
in Axiomatic and Constructive Settings*, in Functional Analysis and
Probability (M. Burgin, Ed), Chapter 12, Nova Science Publishers, New York,
2015, pp. 259 -
288 (in
collaboration)

347.
*Picturesque
Diversity of Probability*, in Functional Analysis and Probability (M.
Burgin, Ed), Chapter 14, Nova Science Publishers, New York, 2015, pp. 301 - 354

348.
*Real-Time
Inverse Modeling of Control Systems Using Hypernumbers*, in
Functional Analysis and Probability (M. Burgin, Ed), Chapter 17, Nova Science
Publishers, New York, 2015, pp. 439 - 456 (in
collaboration)

349.
** Functional Analysis and Probability**,
Nova Science Publishers, New York, 2015, 476 p. (Editor)

350.
*Extended correlations in
finance*, J. of Math. Finance, v. 6, 2016, pp. 178-188 (in collaboration)

351. *Axiomatizing negative probability*, Journal of Advanced Research in Applied Mathematics
and Statistics, v. 1, No 1, 2016, pp. 1 – 17

352. *Probability Theory in Relational Structures*, Journal of Advanced Research
in Applied Mathematics and Statistics, v. 1, No 3&4, 2016, pp. 19 – 29

353. *An Introduction to Symmetric Inflated Probabilities*, in Quantum Interaction (de
Barros, J. A., Coecke, B. and Pothos, E., Eds.),Theoretical Computer Science
and General Issues, v. 10106, Springer, 2017, pp. 206-223

354. 1 + 1 = 3: *Synergy Arithmetic in Economics*, Applied
Mathematics, v.8, No.2, 2017, pp. 133 – 144
(in collaboration)

355.
*Scaling qualitative probability*, Preprint in Probability (math.PR),
1702.08504, 2017, 21 p.
(electronic edition:
http://arXiv.org)

356.
*Semitopological
Vector Spaces***:
Hypernorms, Hyperseminorms and Operators**, Apple Academic Press, Toronto, Canada, 2017, 476 p.

357. *Mathematical Knowledge and the Role of an Observer*: *Ontological and epistemological aspects*,
Preprint in Mathematics
History and Overview (math.HO), 1709.06884,
2017, 15 p. (electronic edition: http://arXiv.org)

358.
*Why
so negative on negative volatilities*? International Journal of
Statistics and Applied Mathematics, v. 2, No. 5, Part B, 2017, pp. 116-124 (in collaboration)

359.
*Functional Algebra and
Hypercalculus in Infinite*** Dimensions:**

360.
*Metalogic in the context of
logical varieties*,** **International Journal of Pure
Mathematics, v. 4, 2017, pp. 64 - 78

361. *Mathematics
as an Interconnected Whole*,
Preprint in General Mathematics 1801.0135, 2018, 15 p. (electronic
edition:
http://viXra.org/postprints/)

362. *Symmetric
Hyperprobabilities*, UPI
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