Orthonormal vs. Orthogonal — What's the Difference?

(mathematics) Of a set of vectors, both orthogonal and normalized.

Of or involving right angles; at right angles.

(mathematics) Of a linear transformation that preserves both angles and lengths.

(of variates) statistically independent.

Relating to or composed of right angles.

Of or relating to a matrix whose transpose equals its inverse.

Of or relating to a linear transformation that preserves the length of vectors.

Very different or unrelated; sharply divergent

(geometry) Of two objects, at right angles; perpendicular to each other.

(mathematics)

Of a pair of vectors: having a zero inner product; perpendicular.

Of a square matrix: such that its transpose is equal to its inverse.

Of a linear transformation: preserving its angles.

Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.

Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.

(statistics) Statistically independent, with reference to variates.

(software engineering) Of two or more aspects of a problem, able to be treated separately; of a design, exhibiting consistency and composability.

Of two or more problems or subjects, independent of or irrelevant to each other.

An orthogonal line

Right-angled; rectangular; as, an orthogonal intersection of one curve with another.

Not pertinent to the matter under consideration;

Statistically unrelated

Having a set of mutually perpendicular axes; meeting at right angles;