Background for orthogonal

orthogonal

/ɔːˈθɒɡənəl/ /ɔɹˈθɑɡənəl/

Illustration orthogonal - Image 1

noun

An orthogonal line

Examples :

"The orthogonal to the wall supported the bookshelf. "

Illustration orthogonal - Image 1

adjective

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

Examples :

"A chord and the radius that bisects it are orthogonal."

math physics technical structure

Illustration orthogonal - Image 1

adjective

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

Examples :

"The normal vector and tangent vector at a given point are orthogonal."

math technical physics

Illustration orthogonal - Image 1

adjective

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

Examples :

""Because the rotation matrix used to adjust the building's orientation on the architect's model is orthogonal, we know its inverse is easy to calculate, simplifying the 3D modeling process." "

Illustration orthogonal - Image 1

adjective

Of a linear transformation: preserving its angles.

Examples :

"The architect used an orthogonal projection in the blueprint to ensure that the angles of the building's corners were accurately represented, even though the drawing was in two dimensions. "

math technical science physics

Illustration orthogonal - Image 1

adjective

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

Examples :

"In this simple maze, you can only move orthogonally, meaning you can go straight up, down, left, or right, but not diagonally. "

math game technical

Illustration orthogonal - Image 1

adjective

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

Examples :

"The student's study habits and social life were orthogonal; each activity did not impede the other. "

math logic science system technical

Illustration orthogonal - Image 1

adjective

Statistically independent, with reference to variates.

Examples :

""In the study, height and reading ability were shown to be orthogonal; knowing someone's height gave no information about their reading skills." "

statistics math science

Illustration orthogonal - Image 1

adjective

Of two or more aspects of a problem, able to be treated separately.

Examples :

"The content of the message should be orthogonal to the means of its delivery."

aspect math technical science

Illustration orthogonal - Image 1

adjective

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

Examples :

""My preference for chocolate ice cream is orthogonal to my sister's ability to solve math problems; one has no effect on the other." "

theory science math technical