- volume. In general, it is also
called n-dimensional volume, n-volume,
hypervolume, or
simply volume. It is used
throughout real analysis, in particular...
- 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...
- 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...
- jet's own
reference frame. Note that the 3D-surfaces
above enclose 4D-
hypervolumes,
which are the 4-cones proper. The
spherical cone
consists of two unbounded...
-
univariate or
multivariate samples is
called the 'lowest
contiguous hypervolume filter'; I A → ( t → ) {\displaystyle I_{\vec {A}}({\vec {t}})} is chosen...
- 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)}...
-
higher dimensions, an
analogous concept to the
normal volume is the
hypervolume. The
precision of
volume measurements in the
ancient period usually ranges...
- {\displaystyle \mathbb {R} ^{n}} that
preserves the n-dimensional
measure (
hypervolume) of any set. In the
plane R 2 = R × R {\displaystyle \mathbb {R} ^{2}=\mathbb...
