# main diagonal

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 Noun 1 main diagonal - the diagonal of a square matrix running from the upper left entry to the lower right entryprincipal diagonaldiagonal - an oblique line of squares of the same color on a checkerboard; "the bishop moves on the diagonals"
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References in periodicals archive ?
where J [member of] [R.sup.MxM] is the exchange matrix with ones on its antidiagonal and zeros elsewhere.
The Kernel of the 1st-Order Difference in the Horizontal (H), Vertical (V), Diagonal (D), and Antidiagonal (AD) Direction.
Only political views are shared by three categories, while parental income is common for link formation, and time socializing and marijuana legalization are common for link dissolution, while time exercising is shared diagonally and views on homosexuality are common along antidiagonal. Of the 13 distinct attributes listed, seven are unique for one category: common neighbors, time volunteering, gay marriage legalization, time camping, time parting, time in clubs, and time studying.
(2) If the whole probability P is concentrated and uniformly distributed on the antidiagonal of the unit square [[0, 1].sup.2], then P is called an antidiagonal distribution.
This occurrence does not only allow the topological transition, which is absent for the n(k) = 0.5 locus that reaches the antidiagonal (X [right arrow] Y) at half-filling in agreement with the Luttinger theorem, but also accounts for the apparent broadening of the relative maxima of A(k, [omega] = 0) close to the antinodal points (X and Y).
In other words, f reflects the entries of elements of g across the antidiagonal, up to a constant multiple.
For a given arbitrarily matrix Q, we denote [[??].sub.P] as a PxP dimension exchangematrix with ones on its antidiagonal and zeros in other places.
Since [D.sub.x] = [D.sub.z] = D, [C.sub.(A)] and [C.sub.(B)] have the same antidiagonal and mirror each other about the antidiagonal.
(Matrix antitransposition acts on square matrices x = [([x.sub.ij]).sub.1[less than or equal to]i,j[less than or equal to]n] by reflection across the main antidiagonal {[x.sub.i,n-i+1]| 1 [less than or equal to] i [less than or equal to] n}.) Bruhat order and lex order on [Mat.sub.n](N) are related by the implication (A [less than or equal to] [sub.Br] B) [??] (A [less than or equal to] [sub.lex] B) which can be easily checked on the generating relation < [sub.Br].

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