Definition of Transseries. Meaning of Transseries. Synonyms of Transseries

- behavior. Transseries can also be convenient for representing functions. Through their inclusion of exponentiation and logarithms, transseries are a strong...
- represented in floating-point. The field of transseries is larger than the Levi-Civita field. An example of a transseries is: e ln ⁡ ln ⁡ x + ln ⁡ ln ⁡ x + ∑...
- Laboratoire d'informatique of the École Polytechnique. His research deals with transseries (i.e. generalizations of formal power series) with applications to algebraic...
- 1007/3-540-48686-0_21. ISBN 978-3-540-66200-6. MR 1730337. van der Hoeven, J. (2006). Transseries and Real Differential Algebra. Lecture Notes in Mathematics. Vol. 1888...
- coefficients, where x is taken to be infinitesimal and positive the transseries real closed fields the superreal numbers the hyperreal numbers The surreal...
- (that contain Hardy L-functions as a subfield) can be defined using transseries. Every element of a Hardy field is eventually either strictly positive...
- especially on asymptotic differential algebra and the model theory of transseries". In 2018, Aschenbrenner was an invited speaker at the International...
- p-adic fields, valued fields, and finite fields, and to the study of transseries. With Alex Wilkie, he improved Gromov's theorem on groups of polynomial...
- field T L E {\displaystyle \mathbb {T} ^{LE}} of logarithmic-exponential transseries. The field N o ( ε 0 ) {\displaystyle \mathbf {No} (\varepsilon _{0})}...
- given coefficient c q {\displaystyle c_{q}} is finite. The field of transseries T {\displaystyle \mathbb {T} } is a directed union of Hahn fields (and...