- the
values of
heaps in the game Nim. The
nimbers are the
ordinal numbers endowed with
nimber addition and
nimber multiplication,
which are
distinct from...
- are
known as
nimbers. The Sprague–Grundy
theorem states that
every impartial game
under the
normal play
convention is
equivalent to a
nimber. The "smallest"...
- {\displaystyle *2}
referenced in our
example game are
called nimbers. In general, the
nimber ∗ n {\displaystyle *n}
corresponds to the
position in a game...
-
partisan game,
though some
partisan games can
still be
evaluated using nimbers such as Domineering.
Domineering would not be
classified as an impartial...
- stones, the
nimbers of the
successor states of 2, 3, and 4
stones are the
nimbers 2, 3, and 0 (as we just calculated); the mex of the set of
nimbers {0, 2,...
-
ordinals and
nimbers.
Three common operations on
nimbers are
nimber addition,
nimber multiplication, and
minimum excludance (mex).
Nimber addition is a...
- example, the game ∗ 2 + ∗ 3 {\displaystyle *2+*3} ,
where the
values are
nimbers, has
value ∗
despite each
player having more
options than
simply moving...
-
transcendental numbers, the
Metonic cycle, combinatorics, the
complex plane,
nimbers, and
surreal numbers. The
Basic Library List
Committee of the Mathematical...
-
military decorations State decoration Army-Navy "E"
Award Medal inflation "
Nimber 1348.33,
Volume 3" (PDF).
Defense Technical Information Center.
United States...
-
position in a
partisan game can have a
nimber as its value, or else the game
would be impartial. However, some
nimbers can
still occur as the
values of game...
