Sentence examples for determinant d from inspiring English sources

This submatrix has determinant D = G + ϕ N t ( m - 1 ) ∏ i = 1 N t f i, j i ( a m ) - f i, j i ( b m ) (35).

end{aligned} (2.10)(ii) The determinant D has the factorization in the disc ({mathbb D}): begin{aligned} D=BD_B, end{aligned}where (D_B) is analytic in the unit disc ({mathbb D}) and has no zeros in ({mathbb D}).

We have the following simple formula of the zeros (z_j) of the determinant D in terms of the eigenvalue (lambda _j) of H: begin{aligned} z={1over d}biggr (lambda pm sqrt{lambda ^2-d^2} biggr ).

Since all the functions f t i are one to one, so the determinant D will be zero subject to condition if a = b, likewise FΛ(a) will be equal to FΛ(b) if a = b.

Let an arbitrary delay profile Δ be applied to the difference matrix fΛ(a -fΛ(b) to produce the ma -fΛ FΔ, then, as proved before, toe columns t 1, t 2,..., t N t in FΔ form a lower triangular matrix with diagonal entries equal to f t i ( a ) - f t i ( b ) for i = 1, 2,..., N t and this matrix has determinant: D = ∏ i = 1 N t ( f t i ( a ) - f t i ( b ) ) (9).

Number of positive E. faecium ST17 (n = 10) and ST78 (n = 10) and E. faecalis ST6 (n = 10) and ST40 (n = 10) for selected targets within five groups; A: plasmid replicons and plasmid addiction systems; B: transposable elements; C: resistance determinants; D: phage; and E: CRISPR-Cas, determined by DNA microarray.

Hybridization results of 278 targets grouped into A: plasmid backbone determinants; B: transposable elements; C: resistance determinants; D: phage sequences; and E: CRISPR-Cas sequences in E. faecium ST 17 (n = 10), ST78 (n = 10) and ST92 (n = 1) and E. faecalis ST6 (n = 10) and ST40 (n = 10).

Remarks Actually, there exist several potential optimality criteria for the problem at hand, e.g., minimizing the determinant of D, minimizing the maximum eigenvalue of D and the aforementioned Tr(D), etc. [19].

Determine the direction θ ( k ) of the predictor step as follows: If the sign of the determinant | D H w ( 0 ) ( w ( k ), λ k ) p ( k ) T | is ( − 1 ) m + l + 1, then θ ( k ) = p ( k ).

In the implementation of the algorithm, generally we need to be devoted to finding the positive direction of the tangent vector at a point on Γ w ( 0 ) which keeps the sign of the determinant | D H w ( 0 ) ( w, λ ) p T | invariant.

where |·| is the matrix determinant and D k the number of parameters in θ k.