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el matemático ruso nikolai ivanovich lobachevsky y su rival, el matemático húngaro jános bolyai, independientemente definen y estudian la geometría hiperbólica.
the russian mathematician nikolai ivanovich lobachevsky and his rival, the hungarian mathematician jános bolyai, independently defined and studied hyperbolic geometry, where uniqueness of parallels no longer holds.
excavaciones subsecuentes hechas por vremir descubrieron huesos adicionales del mismo individuo y fueron añadidos por él a la colección de la universidad babeș-bolyai.
subsequent excavations by vremir discovered additional bones of the same individual animal and were added by him to the collection of the babeș-bolyai university.
alrededor de 1830, el húngaro jános bolyai y el ruso nikolai ivanovich lobachevsky publicaron por separado tratados sobre un tipo de geometría que no incluía el postulado de las paralelas, llamada geometría hiperbólica.
around 1830 though, the hungarian jános bolyai and the russian nikolai ivanovich lobachevsky separately published treatises on a type of geometry that does not include the parallel postulate, called hyperbolic geometry.
su papel de ensayo 1868 en una interpretación de la geometría no euclidiana, que da una realización concreta de la geometría no euclidiana de lobachevski y bolyai y la conecta con riemann 's geometría.
his 1868 paper essay on an interpretation of non-euclidean geometry which gives a concrete realisation of the non-euclidean geometry of lobachevsky and bolyai and connects it with riemann 's geometry.
en 1832 (el año bolyai publicó su trabajo sobre la geometría no euclidiana) legendre confirmó su creencia absoluta en el espacio euclidiano, cuando escribió:
in 1832 (the year bolyai published his work on non-euclidean geometry ) legendre confirmed his absolute belief in euclidean space when he wrote:
el curso de cluj-napoca fue organizado por ifes en colaboración con la universidad “babes-bolyai”, que estuvo representada por monica aniela zaharia.
the cluj-napoca course was organised by ifes in collaboration with the babes-bolyai university, which was represented by monica aniela zaharia.
(2) 64 1956 374—392== references ==== enlaces externos ==* su página* aumann nobel prize lecture* su c.v.* extensive interview of prof. aumann shortly before his selection as the nobel laureate by sergiu hart* anuncio del premio nobel* más información sobre el nobel* recording of the nobel prize announcement and prof. aumann's reaction to the prize* premio jános bolyai* galardón 2002 emet* centro de estudios de la racionalidad* stony brook center for game theory* solution to talmud bankruptcy problem, from the journal of economic theory, 1985* a report from the first press conference shortly after the announcement (imagen) (en hebreo)* nobel laureate seeks 'cure' for war* chris mcgreal.
== see also ==* list of israel prize recipients* list of jewish nobel laureates* list of economists== references ==== external links ==* his homepage* aumann nobel prize lecture* his cv* extensive interview of prof. aumann shortly before his selection as the nobel laureate by sergiu hart* nobel prize announcement* more information about that nobel prize* recording of the nobel prize announcement and prof. aumann's reaction to the prize* jános bolyai prize* 2002 emet award* center for the study of rationality* stony brook center for game theory* solution to talmud bankruptcy problem, from the journal of economic theory, 1985* a report from the first press conference shortly after the announcement (with picture) (hebrew)* nobel laureate seeks 'cure' for war* chris mcgreal.