Sentence examples for dimension equals to from inspiring English sources

where Σ k is the diagonal matrix of which the diagonal elements are non-negative singular values of H ˜ k and its dimension equals to the rank of H ˜ k.

The control objective is to regulate the vehicle position to a manifold of dimension equal to the underactuation degree.

The proposed auction requires individual EVs to submit bid profiles that have dimension equal to two times the number of time-steps in the horizon.

We obtained more than 10 W of output power with the beam quality factors M2x in the width dimension and M2y in the thickness dimension equal to 8.

First, a reduced-order control design model is constructed with the dimension equal to a subsystem's dimension of the original system.

To compete for energy allocation over the horizon, each individual EV submits a multidimensional bid, with the dimension equal to two times the number of time-steps in the horizon.

Combination of Galerkin's method with approximate inertial manifolds is used to derive ordinary differential equation (ODE) systems of dimension equal to the number of slow modes that accurately describe the dominant dynamics of the PDE system.

The fraction of false-nearest-neighbors drops to zero at dimension equal to four for both the radial velocity and Alfvénic velocity, independent of the distance from the Sun.

We show that if the observed system is observable and the network graph is a strongly connected directed graph, then a distributed observer exists with state space dimension equal to Nn−∑i= 1Npi, where N is the number of network nodes, n is the state space dimension of the observed plant, and pi is the rank of the output matrix of the observed output received by the ith local observer.

The beam is having cross section dimension equal to 100 mm × 135 mm.

The input layer provides input variables to the network in the form of a vector with the dimension equal to the number of neurons.