Sentence examples for matrices to simplify from inspiring English sources

In [14], the parameter α can take any value of the interval ([0.8,1)). Obviously, the parameter α in this paper can also obtain the lower bound 0.8 if (gamma=1). Let us introduce some matrices to simplify our notation in the subsequent analysis.

The formal method of lumping demonstrated the use of a lumping matrix to simplify a model with X numbers of states to a model with Y numbers of states (where Y < X).

In the SALM problem, constraints or relative transformations between any two poses are generally separated into translations plus 3D rotations, which are then described in a homogeneous transformation matrix (HTM) to simplify computational operations.

Capacity PNSRL removes matrix calculations to simplify large calculations.

These genotype probabilities were then used in maximum likelihood parentage analysis, using a matrix formulation to simplify the algebra and reduce the risk of software errors.

Some matrices and variables to simplify the notation of our later analysis are also defined.

Substituting this back into (16) and using the matrix inversion formula to simplify the resulting expression, we obtain the same expression on the first line of (28) for.

This law shows that if both (A^{-1}) and (B^{-1}) are given, we can use their product (B^{-1}A^{-1}) instead of ((AB ^{-1}), so thAB ^{-1}law can be usod thatimplify various mathis expressions that involaw inverse operations of producan of nonsingular matrices.

Its design allows to separate the processes of evaporation and dissociation of mercury compounds as well as to simplify the matrix components in the gaseous phase in real time.

Each determines a matrix (see [2, Lemma ]), to simplify the notation we still write with or.

For general multipulse signals, matrix D was used only to simplify hardware implementation, but not to reduce sampling rate.