At the failure stage, the width of the

main diagonal crack in the joint continued to increase, the stirrup strain in joint core rapidly increased and eventually reached yield, and the average shear deformation of the joint multiplied.

Hence [sigma](A + K) = [sigma]([A.sub.1]) [union] [sigma]([A.sub.2]) for every upper triangular representation, with

main diagonal ([A.sub.1], [A.sub.2]), of A + K.

Definition 2.8 A symmetric tree-like tableau is a tree-like tableau unchanged by the reflection with respect to its

main diagonal.

Let us check another diagonal, above the

main diagonal: 3, 14, 25, 36, 47, 58, 69, and 80.

The matrix [mathematical expression not reproducible] for the proposed scheme is diagonal with unequal

main diagonal elements.

From associated matrix point of view, a relabeling in graph according to pseudocliques can conduct to an uniform distribution of nonzeros along the

main diagonal. That is, that situation corresponds to close values of nonzeros in diagonal blocks of Jacobian, a situation that is reasonable and can be obtained in practice.

(1) Read the full PolSAR image and the

main diagonal elements of the polarimetric coherency matrix [T11, T22, T33], and extract span image.

The aforementioned properties of the matrices transfer to this case, e.g., a block circulant matrix with block size m x m and n blocks on the

main diagonal is block diagonalized by [F.sub.n] [cross product] [I.sub.m], where [cross product] denotes the Kronecker product and [I.sub.m] denotes the identity matrix of size m x m.

In the

main diagonal [v.sub.jj] (which denotes the outflow velocities from inner section j) is the sum of outflow velocities to the inner and external sections in case of section j.

DET measures the percentage of recurrent points forming line segments that are parallel to the

main diagonal. A line segment is a point's sequence, which is equal to or longer than a predetermined threshold.

There also exist primed orderly tableaux D [member of] [D.sup.[delta]] that are of shifted shape [delta] and are filled with entries in accordance with the two rules: (1) that the entry at each

main diagonal position (i,i) is either i or [bar.i]; and (2) that the entry at each off-diagonal position (i,j) with i < j is either i, [bar.i], j' or [bar.j]'.

Figure 2c requires us to determine the position of the lines parallel to a

main diagonal. If the shorter sides of the isosceles triangles is denoted by z then