Sentence examples for dimension equals from inspiring English sources

The fractal dimension equals the topological dimension.

The full space is shown to be the direct sum of a number of orthogonal eigenspaces, one for each simple or multiple eigenvalue, whose dimension equals the multiplicity.

Step 3: repeat step 2 and decrease the dimension of integral region projection in succession until the dimension equals 1.

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.

There are various open problems in mathematics, such as: how to establish the global existence of smooth solutions, and how to establish the blow-up solution at least when the space dimension equals three (see [3]), and so on.

Their dimension equals the number of stations in the area, the value of each vector component is the station's low critical threshold for the first vector and the station's low buffer threshold for the second vector.

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.