Sentence examples for generalized reflection from inspiring English sources

be generalized reflection matrices.

Problem I Let P j ∈ R m j × m j and Q j ∈ R n j × n j be generalized reflection matrices.

Let P ∈ R m × m and Q ∈ R n × n be two real generalized reflection matrices, i.e., P T = P, P 2 = I m, Q T = Q, Q 2 = I n, I n denotes the n order identity matrix.

Algorithm 2.1 Step 1: Input matrices A i j ∈ R r i × m j, B i j ∈ R n j × s i, M i ∈ R r i × s i, and generalized reflection matrices P j ∈ R m j × m j and Q j ∈ R n j × n j, i = 1, …, p, j = 1, …, q ; Step 2: Choose an arbitrary matrix group ( X 1 ( 1 ), X 2 ( 1 ), …, X q ( 1 ) ) ∈ R r m 1 × n 1 ( P 1, Q 1 ) × R r m 2 × n 2 ( P 2, Q 2 ) × ⋯ × R r m q × n q ( P q, Q q ).

This suggests that many of the shape differences are local rather than a reflection of generalized differences in overall brain size or shape.

The practice itself is a reflection of a generalized problem that our food environment presents to us, it is not, however, determined by that generalized problem.

This idea of interaction is a generalized symmetric principle of definitional reflection.

This offers a starting point for some more sanguine reflection on how, amid generalized talk of zeros, targets and goals, we can so easily lose sight of the extraordinary barriers that prevent them being reached in the first place.

What is less clear is whether this local autonomic dysfunction is a reflection of a more generalized autonomic neuropathy given that previous studies have been inconsistent.

Further enhancement in method performance is obtained by basing the stencils on generalizations of Padé approximation, or generalized definitions of the derivative, reducing spurious dispersion, anisotropy, and reflection, and by improving the representation of source terms.

Three different numerical approaches to overcome the local mass conservation problem of the random walk methodology are examined: (i) the interpolation method, (ii) the reflection principle, and (iii) the generalized stochastic differential equations (GSDE).