Sentence examples for projections defined by from inspiring English sources

To further investigate the essential motions, we investigated two-dimensional projections defined by the first two eigenvectors of sim-K1 and sim-K2.

The generalized projection defined by.

Namely, if denotes the canonical projection defined by, then (2.8).

Then the projection defined by the decomposition is compact, and the operator is bijective.

Map servers are components that perform queries and analyses of both raster and vector data and generate and display maps in a uniform projection defined by the user.

Let (P_{h}:Yrightarrow V_{h}) or (Zrightarrow W_{h}) denote the (L^{2} -orthogonal projection defined by begin{aL^{2} -orthogonalga,chi_{h})=(omega,chi_{h})quad forall omegain Y mbox{ or } Z, chi_{h}in V_{h} mbox{ or } W_{h}.

Specifically, z is represented by M projections defined as follows: y = Φ z (2).

and the (continuous) projections are defined by (2.5).

We have employed double fluorescent-labelling procedure: the projections were defined by injections of two retrograde tracers: Rhodamine Labelled Bead (RBL) and Fluoro Gold (FG) in the MPA and SC-L, respectively.

Following Alber [21], the generalized projection is defined by.

In this work the authors propose a method to visualize local robustness properties of a nonlinear control system by means of a projection mapping defined by a self-organizing map (SOM).