Orthogonal

Also, an orthogonal line through T to a chosen face is coplanar with two other orthogonal lines to the same face.

If vectors a and b are orthogonal, then and: : : : : Each user in synchronous CDMA uses a code orthogonal to the others' codes to modulate their signal.

In high dimensions, two independent random vectors are with high probability almost orthogonal, and the number of independent random vectors, which all are with given high probability pairwise almost orthogonal, grows exponentially with dimension.

More generally, if a degenerate geometric algebra is allowed, then the orthogonal matrix is replaced by a block matrix that is orthogonal in the nondegenerate block, and the diagonal matrix has zero-valued entries along the degenerate dimensions.

More specifically, two curves are said to be tangent at a point if they have the same tangent at a point, and orthogonal if their tangent lines are orthogonal.

By exciting the system linearly, this hybrid nanoplatform can switch between four upconversion polarization states, allowing multiple levels of light output in parallel or orthogonal polarization configurations.

Whether a given smart lock guy is going to run a million units, that question is sort of orthogonal to the basic question of, is he going to have to comply with security and privacy laws?

About the same time, C. R. Rao introduced the concepts of orthogonal arrays as experimental designs.

According to quantum mechanics (particularly quantum indeterminacy ), no possible measurement distinguishes between the 4 different polarization states, as they are not all orthogonal.

A combination of linear and circular birefringence will have as basis polarizations two orthogonal elliptical polarizations; the term "elliptical birefringence" however is rarely used.

A king (玉/王) moves one square in any direction, orthogonal or diagonal.

A knight (桂) jumps at an angle intermediate to orthogonal and diagonal, amounting to one square straight forward plus one square diagonally forward, in a single move.

Alternatively, techniques such as orthogonal frequency division modulation and rake receivers may be used.

A midplane is defined as a plane that is orthogonal to an edge joining any two vertices that also contains the centroid of an opposite edge formed by joining the other two vertices.

An example is given by the orthogonal states : and one verifies that in this special case.

An illustration of the cross product The cross product a × b is defined so that a, b, and a × b also becomes a right-handed system (but note that a and b are not necessarily orthogonal ).

Animation showing four different polarization states and two orthogonal projections.

An orthogonal line dropped from the Monge point to any face meets that face at the midpoint of the line segment between that face's orthocenter and the foot of the altitude dropped from the opposite vertex.

An orthonormal basis is a basis where all basis vectors have length 1 and are orthogonal to each other.

Another common neighborhood type is the extended von Neumann neighborhood, which includes the two closest cells in each orthogonal direction, for a total of eight.