Add to ORKGThis treatise is 5 consecutive papers published in the same proceedings of the same conference . 1st international conference on quantitative, social, biomedical and economic issues 29-30 JUNE 2017 Proceedings pp 233-292 , https://books.google.gr/books?id=BSUsDwAAQBAJ&pgInternational audienceIn this treatise on the theory of the continuum of the surreal numbers of J.H. Conway, is proved ,that the three different techniques and hierarchies of the continuums of the transfinite real numbers of Glayzal A. (1937) defined through transfinite power series , of the surreal numbers of J.H. Conway (1976) defined by Dedekind cuts ,and of the ordinal real numbers of K. E. Kyritsis (1992) defined by fundamental Cauchy transfinite sequences, give by indu...
Transfinite (ordinal) numbers were a crucial step in the development of Cantor's set theory. The new...
For any ordinal α>0, we show how to define a hyperexponential E_(ω^α) and a hyperlogarithm L_(ω^α) o...
It can be said without fear of serious contradiction that among the notions of mathematics, none imp...
This treatise is 5 consecutive papers published in the same proceedings of the same conference . 1st...
In this treatise on the theory of the continuum of the surreal numbers of J.H. Conway, is proved ,th...
In this paper is introduced a forth new technique different from that of "the enlargment re...
In this paper is introduced a fourth new technique of "the enlargment real numbers",that in...
AbstractLouck has developed a relation between surreal numbers up to the first transfinite ordinal ω...
The purpose of this thesis is to explore the Surreal Numbers from an elementary, con- structivist po...
We show that 'Ecalle's transseries and their variants (LE and EL-series) can be interpreted as funct...
We give a presentation of Conway’s surreal numbers focusing on the connections with transseries and ...
In this paper are introduced the ordinal integers ,the ordinal rational numbers ,the ordinal real nu...
In A Stroll Through Cantor’s Paradise: Appraising the Semantics of Transfinite Numbers, we confront ...
In this paper are introduced the ordinal integers ,the ordinal rational numbers ,the ordinal real nu...
We prove that among the transcendental numbers there are different transfinite cardinalities in the ...
Transfinite (ordinal) numbers were a crucial step in the development of Cantor's set theory. The new...
For any ordinal α>0, we show how to define a hyperexponential E_(ω^α) and a hyperlogarithm L_(ω^α) o...
It can be said without fear of serious contradiction that among the notions of mathematics, none imp...
This treatise is 5 consecutive papers published in the same proceedings of the same conference . 1st...
In this treatise on the theory of the continuum of the surreal numbers of J.H. Conway, is proved ,th...
In this paper is introduced a forth new technique different from that of "the enlargment re...
In this paper is introduced a fourth new technique of "the enlargment real numbers",that in...
AbstractLouck has developed a relation between surreal numbers up to the first transfinite ordinal ω...
The purpose of this thesis is to explore the Surreal Numbers from an elementary, con- structivist po...
We show that 'Ecalle's transseries and their variants (LE and EL-series) can be interpreted as funct...
We give a presentation of Conway’s surreal numbers focusing on the connections with transseries and ...
In this paper are introduced the ordinal integers ,the ordinal rational numbers ,the ordinal real nu...
In A Stroll Through Cantor’s Paradise: Appraising the Semantics of Transfinite Numbers, we confront ...
In this paper are introduced the ordinal integers ,the ordinal rational numbers ,the ordinal real nu...
We prove that among the transcendental numbers there are different transfinite cardinalities in the ...
Transfinite (ordinal) numbers were a crucial step in the development of Cantor's set theory. The new...
For any ordinal α>0, we show how to define a hyperexponential E_(ω^α) and a hyperlogarithm L_(ω^α) o...
It can be said without fear of serious contradiction that among the notions of mathematics, none imp...