Sentence examples for with the vector of from inspiring English sources

In this paper we consider the case of the general linear statistical model, where the stochastic design matrix has the property that its expectation and probability limits with the vector of unobserved disturbances does not equal to a zero vector and moreover, the explanatory and/or instrumental variables are ill-conditioned.

I start with the vector of after-tax prices.

The state of an intersection is defined with the vector of three traffic parameters.

Thus, the automated segmentation quality can be evaluated by comparing the output vector under test with the vector of its reference image.

Combining g with the vector of cognitive responses and the set of principal components for the individual yields a trial mean vector.

The filter output can be analyzed as the product of a matrix of weights W with the vector of the given the input image y.

It creates a feature vector on each query result and compares it with the vectors of normal queries so as to find malicious queries.

The vector denotes the vector of, with being the signal of node which follows.

So you have the vector of 0 with 1 in the position of the variables that you chose.

We denote by the vector of dimension with components.

The operator ∇ s denotes the vector of derivatives with respect to components of the vector η → s.