- volume. In general, it is also
called n-dimensional volume, n-volume,
hypervolume, or
simply volume. It is used
throughout real analysis, in particular...
- prism. It is the four-dimensional
measure polytope,
taken as a unit for
hypervolume.
Coxeter labels it the γ4 polytope. The term
hypercube without a dimension...
- r^{3}+4\pi r^{2}h} The
above formulas for
hypervolume and
surface volume can be
proven using integration. The
hypervolume of an
arbitrary 4D
region is given...
-
volumes in the image, not
merely two-dimensional surfaces. The 4-volume or
hypervolume in 4D can be
calculated in
closed form for
simple geometrical figures...
- N
dimensions is the box with the
smallest measure (area, volume, or
hypervolume in
higher dimensions)
within which all the
points lie. When
other kinds...
- -parallelotope, n {\displaystyle n} -ellipsoid); with
magnitude (
hypervolume), and
orientation defined by that on its ( n − 1 ) {\displaystyle (n-1)}...
-
number of
rotation vectors increases.
Along a four
dimensional space (a
hypervolume),
rotations occur along x, y, z, and w axis. An
object rotated on a w...
- of the n-dimensional ball of
radius R, and the sphere's
hypervolume and the ball's
hypervolume are
related by: A n − 1 ( R ) = d d R V n ( R ) = n R V...
- main
variables of an
ecosystem niche and as the axis of the
ecological hypervolume. In this way, it is
possible to
build fractal hyper volumes,
whose fractal...
-
univariate or
multivariate samples is
called the 'lowest
contiguous hypervolume filter'; I A → ( t → ) {\displaystyle I_{\vec {A}}({\vec {t}})} is chosen...
