Sentence examples for I a for from inspiring English sources

matrix.  . a diagonally dominant matrix (d.d)., if |a ii | ≥ Λ i (A) for each i ∈ 〈n〉; a strictly diagonally dominant matrix (s.d.d)., if |a ii | > Λ i (A) for each i ∈ 〈n〉; a weakly chained diagonally dominant matrix (c.d.d).

Then A is said to be (1) a diagonally dominant matrix (d.d)., if |a ii | ≥ Λ i (A) for each i ∈ 〈n〉;   (2) a strictly diagonally dominant matrix (s.d.d)., if |a ii | > Λ i (A) for each i ∈ 〈n〉;   (3) a weakly chained diagonally dominant matrix (c.d.d).

A particular mask for an IFS with N functions and attractor A is defined by M 1 = f 1 ( A ) and M k = f k ( A ) ∖ ⋃ i = 1 k − 1 f i ( A ), for k = 2, 3, …, N.

For an IFS F with attractor A, a mask is a partition M = { M i, 1 ≤ i ≤ N } of A such that M i ⊆ f i ( A ) for all f i ∈ F. Given an injective IFS F and a mask M, consider the function T : A → A defined by T ( x ) : = f i − 1 ( x ) when x ∈ M i.

Then, we can use the following two-step procedure to extend our DSD method to this manifold-based framework: (1) Given {y i}, form a data-dependent dictionary D y i = f ~ i ( 1 ), …, f ~ i ( m ) corresponding to each y i by finding its nearest-neighbor in each manifold: f ~ i = arg max f ∈ ℳ P y i f i ∗ = f, α i, A for ℓ∈{1,…,m} and i=1,…,M.

Figure 4 EXIT-curves ( I E versus I A ) for iterative equalizers and decoder for E b / N 0  = 12.

North Dakota State Coach Craig Bohl, a former defensive coordinator at Nebraska who was an assistant in Division I-A for 18 years, said he had only coached against two quarterbacks better than Bomar: Peyton Manning and Daunte Culpepper.

The concatenated haplotype A-I-A (for CR-ND5-Cyt-b respectively) was widely distributed in the continental freshwater habitat, except in Petrohue where haplotype C-III-A was observed.

Insignificance of all effects was observed only in the study part I-A, for the first trial measurements of the DIP joint and for the second trial measurements of the PIP joint in flexion.

Moreover, if f i ( x, y ) ≡ 0 and A i = A for all i ≥ 1, then the problem (1.4) reduces to the classical variational inequality problem VI ( C, A ).

(ii) Suppose that there exist y ∈ Y, a finite subset { x 1, …, x n } of X and x ∈ co { x 1, …, x n } such that R ( x, y, x i ) does not hold for each i ∈ { 1, …, n }, then ( x, y, x i ) ∉ A for each i ∈ { 1, …, n }.