Diagnostics Diagonalisation

Diagonal

Meanings and phrases

diagonal

Pronunciation American British Australian Indian
adj.
  1. connecting two nonadjacent corners of a plane figure or any two corners of a solid that are not in the same face
  2. having an oblique or slanted direction; aslant; aslope; slanted; slanting; sloped; sloping

diagonal

Pronunciation American British Australian Indian
n.
  1. (geometry) a straight line connecting any two vertices of a polygon that are not adjacent
  2. a line or cut across a fabric that is not at right angles to a side of the fabric; bias
  3. an oblique line of squares of the same color on a checkerboard
  4. (mathematics) a set of entries in a square matrix running diagonally either from the upper left to lower right entry or running from the upper right to lower left entry
  5. a punctuation mark (/) used to separate related items of information; solidus; slash; virgule; stroke; separatrix

diagonal matrix

Pronunciation American British Australian Indian
n.
  1. a square matrix with all elements not on the main diagonal equal to zero
E.g.
  • If all entries outside the main diagonal are zero, A is called a diagonal matrix.
  • (It is represented in any coordinate system by a 3 × 3 diagonal matrix with equal values along the diagonal.)
  • Singular value decomposition expresses any matrix A as a product UDV, where U and V are unitary matrices and D is a diagonal matrix.

main diagonal

Pronunciation American British Australian Indian
n.
  1. the diagonal of a square matrix running from the upper left entry to the lower right entry; principal diagonal

principal diagonal

Pronunciation American British Australian Indian
n.
  1. the diagonal of a square matrix running from the upper left entry to the lower right entry; main diagonal

secondary diagonal

Pronunciation American British Australian Indian
n.
  1. the diagonal of a square matrix running from the lower left entry to the upper right entry

diagonal buttresses

Pronunciation American British Australian Indian
E.g.
  • The outer facing corners have diagonal buttresses.
  • The two-stage west tower is supported by diagonal buttresses.
  • The chancel has diagonal buttresses on the north-east and south-east corners.
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