"the plane made three rotations before it crashed" 同义词:revolutiongyration a planned recurrent sequence (of crops or personnel etc.) "crop rotation makes a balanced demand on the fertility of the soil"; "the manager had only four starting pitchers in his rotation" ...
reflections on coordinates in a Cartesian plane. Important Vocabulary Isometry: An isometry is a transformation that maintains congruency. This means that the transformation does not change the figure’s size or shape. Make sure your child is familiar with the Cartesian coordinate system including the...
transformation- (mathematics) a function that changes the position or direction of the axes of a coordinate system 3.rotation- a single complete turn (axial or orbital); "the plane made three rotations before it crashed"; "the revolution of the earth about the sun takes one year" ...
Consider the example of point rotation from above. The point (0.7, 0.5) was rotated 30 degrees around the Z-axis. In three dimensions this point has a 0 Z-coordinate. Using the axis-angle formulation, a quaternion can be constructed using [0 0 1] as the axis of rotation. Get ang =...
A rigid motion is a set of transformations on a geometric shape such that the shape, size and relative distance between two points on the shape are maintained even after the transformation is applied. Translation is a rigid motion where the object moves in the coordinate plan...
Above we have a triangle graphed on a coordinate plane. Its three points (x, y) are displayed in a vertex matrix.Matrix multiplication can be used to rotate a figure. To rotate a figure is to move it around a center point.Figure 2. ...
Using the axis-angle formulation, a quaternion can be constructed using [0 0 1] as the axis of rotation. Get ang = deg2rad(30); q = quaternion(cos(ang/2), 0, 0, sin(ang/2)); pt = [0.7, 0.5, 0]; % Z-coordinate is 0 in the X-Y plane ptrot = rotatepoint(q, pt) ...
Rotation Definition A rotation about a Point O through Ɵ degrees is an isometric transformation that maps every point P in the plane to a point P’, so that the following properties are true; Rotation Definition If point P is NOT point O, then OP = OP’ and mPOP’ = Ɵ°. ...
the example of an aeroplane, to a person on the ground the aeroplane might be turning right, but to a person in the aeroplane the ground will appear to be turning left. So the orientation of the plane relative to the ground is minus the orientation of the ground relative to the plane....
In this context, the purpose of this work is to adopt a special rescaled vector parameterization to describe the rotational motion of particles within the framework of the discrete element method. It is based on what is usually called the Rodrigues rotation vector (see [3–6]), from which we...