- In mathematics, a
nonelementary antiderivative of a
given elementary function is an
antiderivative (or
indefinite integral) that is, itself, not an elementary...
- theory, a
nonelementary problem is a
problem that is not a
member of the
class ELEMENTARY. As a
class it is
sometimes denoted as
NONELEMENTARY. Examples...
-
because most of the
nature of the
solution is
hidden in the
nonelementary integral (
nonelementary unless C 0 = 2 {\displaystyle C_{0}=2} ).
Another way to...
- In mathematics,
trigonometric integrals are a
family of
nonelementary integrals involving trigonometric functions. The
different sine
integral definitions...
- July 18, 2018. NOTE:
Adult education,
community services and
other nonelementary-secondary
program expenditures are excluded. Gordon, Tracy; Iselin,...
-
explanation needed] but can be
proven using the
Risch algorithm.
other nonelementary integrals,
including the
Dirichlet integral and
elliptic integral. It...
-
cannot themselves be
expressed as
elementary functions.
These are
called nonelementary antiderivatives. A
standard example of such a
function is e − x 2 ,...
- well-known
functions which are
Liouvillian but not
elementary are the
nonelementary antiderivatives, for example: The
error function, e r f ( x ) = 2 π...
- {L}}_{\text{rcf}}} . Tarski's
original algorithm for
quantifier elimination has
nonelementary com****tional complexity,
meaning that no
tower 2 2 ⋅ ⋅ ⋅ n {\displaystyle...
- nets was
known to be EXPSPACE-hard for a long time, but
shown to be
nonelementary, so
probably not in EXPSPACE. In 2022 it was
shown to be Ackermann-complete...
