The mean of the product of two orthogonal matrices, which represent rotations, is itself an orthogonal matrix. This is because the product of two orthogonal matrices is orthogonal, preserving the property that the rows (or columns) remain orthonormal. When averaging these rotations, the resulting matrix maintains orthogonality, indicating that the averaged transformation still represents a valid rotation in the same vector space. Thus, the mean of the rotations captures a new rotation that is also orthogonal.
The direction of a vector is defined in terms of its components along a set of orthogonal vectors (the coordinate axes).
turning
7 terms
A degree is a measure of rotation, with 360 degrees representing a complete rotation returning to the starting point.
Game Theory
The rotation matrix can be expressed in terms of spherical coordinates by using the azimuthal angle (), the polar angle (), and the radial distance (r) to determine the orientation of the rotation.
You have to hack into the Matrix. In simple terms, you use WiFi to trick the Matrix into thinking you are just a regular person still hooked in.
The direction of a vector is defined in terms of its components along a set of orthogonal vectors (the coordinate axes).
turning
True
That is just not true. Sin and cos terms are used for many other purposes : for example the components of a force along orthogonal axes.
7 terms
A degree is a measure of rotation, with 360 degrees representing a complete rotation returning to the starting point.
In medical terms, as in lay language, rotation means turning around an axis. The common uses in medical/anatomical terms are to describe movement at a joint (for instance, rotation of the neck is the movement you use when you shake your head "no." External rotation at the shoulder is what you use when you scratch the back of your neck.) Also, rotation might describe a malposition of an organ -- for instance, a slightly twisted uterus rotated left might be called levorotated (and to the right, dextrorotated.)
Game Theory
-50The product of unlike terms (a negative number and a positive number) is negative while the the product of like terms is positive.
These terms are commonly used in the risk assessment matrix and refer to the levels of risk. Catastrophic is the highest level of risk while negligible risk is the lowest level.