Sentence examples for matrix that depends from inspiring English sources

The solution involves the decomposition of a matrix that depends only on the geometry of the surface and not on the positions of the charges.

Grape must is a complex chemical matrix that depends on grape variety, ripeness stage, terroir characteristics, climate, and viticultural factors (Ribereau-Gayon et al. [2006]).

and Γ(n) is a ρn t × n t deterministic matrix that depends only on the channel statistics, such that, (15).

Step 1: We first re-formulate (5) by an equivalent input-output model, in which H is decomposed into a multiplication of multiple matrices including a matrix that depends only on the signature waveform correlation coefficients.

(39) Then, it is formally possible to define a local equilibrium as: psi_{mathrm{eq}} z,t) :=Upsi z,t), (40) where U is a unitary matrix that depends on M.

This completes the proof for Lemma 1. ■. Proposition 1 is proved in three steps: Step 1: We first re-formulate (5) by an equivalent input-output model, in which H is decomposed into a multiplication of multiple matrices including a matrix that depends only on the signature waveform correlation coefficients.

This paper is concerned with the problems of robust H∞ and H2 filtering for 2-dimensional (2-D) discrete-time linear systems described by a Fornasini Marchesini second model with matrices that depend affinely on convex-bounded uncertain parameters.

This paper presents a delay-dependent convex approach of robust H∞ filtering for linear continuous-time systems with a varying time-delay in the state and having state-space model matrices that depend affinely on convex-bounded uncertain parameters.

For both, FEM leads to symmetric positive definite (SPD) matrices that, depending on the type of discretization and especially on the topology of the nodal connections, may be efficiently solved by either the Preconditioned Conjugate Gradient (PCG) or a direct solver such as the routine MA57 of the Harwell Software Library.

where, k denotes the number of time steps (that is, multiples of Ts) elapsed since the beginning of the experiment, and are matrices that depend on the system parameters.

Calculating the possible outcomes requires a mathematical manipulation known as taking the "permanent" of a matrix of numbers that depends on the detail of the maze.