- same signature. The
ultrapower is the
special case of this
construction in
which all
factors are equal. For example,
ultrapowers can be used to construct...
- for all
hyperintegers H {\displaystyle H} . The
transfer principle for
ultrapowers is a
consequence of Łoś's
theorem of 1955.
Concerns about the soundness...
- as a complement. D-media
Communication Tech (a
subsidiary company of
Ultrapower Software Co., Ltd)
undertakes construction,
operation and
maintain of...
-
hyperinteger is
given by the
class of the
sequence (1, 2, 3, ...) in the
ultrapower construction of the hyperreals. The
standard integer part function: ⌊...
-
types as may be "reasonably expected"
given its size. For example, an
ultrapower model of the
hyperreals is ℵ 1 {\displaystyle \aleph _{1}} -saturated...
-
Retrieved November 28, 2023. "STRIKER
Release "Circle Of Evil"
Music Video;
ULTRAPOWER Album To
Arrive In February".
Brave Words &
Bloody Knuckles. November...
- Gold (2014)
Stand in the Fire (2016)
Striker (2017) Play to Win (2018)
Ultrapower (2024) "STRIKER
Signs With IRON KODEX". Blabbermouth.net.
October 20,...
-
nonstandard analysis also use the
concept of
internal sets.
Relative to the
ultrapower construction of the
hyperreal numbers as
equivalence classes of sequences...
- are
order isomorphic. This
unique field Ϝ can be
defined by
means of an
ultrapower, as R N / M {\displaystyle \mathbb {R} ^{\mathbb {N} }/\mathbf {M} } ...
-
model that can be
constructed from the
ordinary natural numbers via the
ultrapower construction.
Other generalizations are
discussed in
Number § Extensions...
