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On the complexity of algebraic number I. Expansions in integer bases

open access: yes, 2005
Let $b \ge 2$ be an integer. We prove that the $b$-adic expansion of every irrational algebraic number cannot have low complexity. Furthermore, we establish that irrational morphic numbers are transcendental, for a wide class of morphisms. In particular,
Adamczewski, Boris, Bugeaud, Yann
core   +1 more source

The Relocation of Transcendence

open access: yesNature and Culture, 2019
Denmark, Estonia, and Sweden are, if measured by certain sociological criteria, considered to be three of the world’s most secular countries. Nature—forests, pristine beaches, and the countryside—plays a specific role in the allegedly secular discourse ...
David Thurfjell   +3 more
semanticscholar   +1 more source

Failure of the local-global principle for isotropy of quadratic forms over rational function fields

open access: yes, 2017
We prove the failure of the local-global principle, with respect to all discrete valuations, for isotropy of quadratic forms over a rational function field of transcendence degree at least 2 over the complex numbers.
Auel, Asher, Suresh, V.
core  

Transcendence

open access: yesTranscendence
Transcendence is a spiritual odyssey that combines philosophical musings, heavy societal critique, and practical advice for individuals to reach a deeper level of understanding of all things. It is also a letter for the future. It is a message, a warning, and an ominous wake-up call: humanity must make correct decisions to steer towards enlightenment ...
  +4 more sources

Transcendence [PDF]

open access: yesAJN, American Journal of Nursing, 2019
openaire   +3 more sources

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