Sentence examples for given vectors from inspiring English sources

Given vectors and, let,, and.

Here A(n) ∈ ℝd × dare given matrices, h(n) ∈ ℝ d are given vectors and x0 ∈ ℝ d.

where is continuously differentiable, is a -dimensional stochastic vector, and are given vectors, and are given stochastic matrices.

where z 1 < ∞ and z 2 < ∞ are positive integers, h i j and v i j are given vectors.

The vectors are chosen to minimize the sum of the squared norms of the errors between the constructed vectors and the given vectors.

Others require that complex objects be represented as vectors (with values for several attributes), and use the cosine function to measure the distance between two given vectors [35].

Then, a methodology for calculating the projections of the polygons along a given vector is employed.

For a given vector a, a T stands for the vector transpose.

where vector (boldsymbol {acute {c^ in R^{p}) is a given vector consisting of c i.

The conditional probability that a given vector belongs to cluster,, is given by (9).

where the linear map A : ℜ m × n → ℜ d, b ∈ ℜ d is a given vector.