- 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...
- coefficients,
where x is
taken to be
infinitesimal and
positive the
transseries real
closed fields the
superreal numbers the
hyperreal numbers The surreal...
- 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})}...
-
especially on
asymptotic differential algebra and the
model theory of
transseries". In 2018,
Aschenbrenner was an
invited speaker at the International...
- 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...
-
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...
- Inst. Fourier, 42, 1992, 73-164 doi:10.5802/aif.1287 "Six
Lectures on
Transseries,
Analytical Functions and the
Constructive Proof of Dulac's Conjecture"...
