-
something other than a
rotation, e.g. a translation.
Rotations around the x, y and z axes are
called prin****l
rotations.
Rotation around any axis can be...
-
composition of
rotations (i.e.
chained rotations). The
geometrical definition demonstrates that
three consecutive elemental rotations (
rotations about the...
-
orientations and
rotations of
elements in
three dimensional space. Specifically, they
encode information about an axis-angle
rotation about an arbitrary...
- When an n × n
rotation matrix Q, does not
include a −1 eigenvalue, thus none of the
planar rotations which it
comprises are 180°
rotations, then Q + I is...
- article.
These rotations are
intrinsic rotations and the
calculus behind them is
similar to the Frenet-Serret formulas.
Performing a
rotation in an intrinsic...
-
Composition of
rotations sums
their angles modulo 1 turn,
which implies that all two-dimensional
rotations about the same
point commute.
Rotations about different...
-
symmetry is
symmetry with
respect to some or all
rotations in m-dimensional
Euclidean space.
Rotations are
direct isometries, i.e.,
isometries preserving...
-
using ecosystem services from a
diverse set of crops. Additionally, crop
rotations can
improve soil
structure and
organic matter,
which reduces erosion and...
-
inner product space is said to have
rotational invariance if its
value does not
change when
arbitrary rotations are
applied to its argument. For example...
- also
double rotations,
which are
combinations of left and
right rotations. A
double left
rotation at X can be
defined to be a
right rotation at the right...
