Sentence examples for transversal linear from inspiring English sources

Now we consider the transversal linear Poincaré flow.

For each dental arch, at T0 and T1, four transversal linear measurements (arch widths) connecting the centroid of a tooth (Fig. 3) and its antimere, and one sagittal measurement (arch depth) were analysed.

Denote by P ( H | E H, e ) the set of all periodic points of H. Given 1 ≤ k ≤ n − 1, we recall that a k-elliptic closed orbit has 2k simple non-real eigenvalues of the transversal linear Poincaré flow at the period of norm 1, and the norm of its remaining eigenvalues different from 1.

The transversal linear Poincaré flow associated to H, P H t ( x ) : N x → N X H t ( x ) given by P t ( x ) ( v ) = Π X H t ( x ) ∘ D X H x t ( v ), where Π X H t ( x ) : T X H t ( x ) M → N X H t ( x ), is the canonical projection.

It is shown that the locally transversal linearization (LTL) procedure finally reduces the given set of non-linear ordinary differential equations (ODEs) to a set of transcendental algebraic equations with the desired solution vector as the unknown.

Figure 5 depicts a simple kind of adaptive equalizer, linear transversal equalizer (LTE) which consists of N delay units and N tap coefficients [11].

The proposed equalizer exhibits enhanced performance compared to other techniques, including the conventional linear transversal equalizer, Volterra equalizers, and RBF network equalizers.

As shown in Figure 2, DDFE structure mainly consists of 3 linear transversal filters: the feed forward (FF) filter, and two feedback filters (FB), a channel interleaver, deinterleaver, and two delay components.

The aforementioned SOM-based adaptive filters are compared with standard FIR/LMS and FIR/LMS Newton linear transversal filters, as well as with powerful MLP-based filters in nonlinear channel equalization and inverse modeling tasks.

If we just define the input signal as x(n) and the corresponding tap weights as w i (n), then the output signal y(n) can be defined as: y(n)=sum_{i=0}^{Nhbox 1}{w}_i(n)xleft n-iright) (2) Fig. 5 The inner structure of linear transversal equalizer.

Given a smooth map ϕ : A → A and a smooth map f : ( X, A ) → ( X, A ) extending ϕ, suppose that the fixed points of ϕ are { x 1, x 2, …, x k }, all of which are transversal, that is, the linear map d ϕ x j − I A is nonsingular for each x j.