Sentence examples for trivial projection from inspiring English sources

Thus, in Algorithm 3.1, the splitting proximal iteration is used to construct this separation hyperplane, the next iterate zk+1is then obtained by a trivial projection of z k, which is not expensive at all from a numerical point of view.

({pi _j}) is a family of non-trivial projections in ({mathbb {R}}^{nu N}) and (V=sum V_j pi _j x)) where (V_j) is a functions on ({mathbb {R}}^{dim {text {ran}}pi _j}).

This is not trivial because, unlike projection optical lithography where 4× reduction is used, imprint is a 1× process where the overlay error in the mold will be transferred to the resist without any error reduction.

On the other hand, for a particle with a small cluster certainty, the difference between the largest two elements in the normalized vector is trivial, and the most similar projection is unclear, so reclustering is needed to help identify the correct cluster.

By defocusing the objective lens, the contrast transfer function is altered and for high resolution studies it will need to be accurately assessed through the volume of single projection images, which is not trivial compared to single projection images.

These systems first require an accurate reconstruction of the markers' 3D position from its 2D projections which is not a trivial problem.

Thus, it is not trivial to reveal individual neurons with axonal projections that superimpose with IPC branches.

For any vector space V, the projection makes the product into a "trivial" vector bundle.

Enforcing the Dirichlet boundary condition readily yields F ± = u ( R ± . Hence, using the classical Fourier projection method, equations (17 - 20 17 - 20 afollowome triviafternipulationsome

The example of the trivial line bundle (p_1: Omega times {mathbb C}rightarrow Omega ) (where (p_1) is projection to the first factor) with non-trivial metric (e^{-varphi }) is already interesting.

The issue of setting a minimal percentage for the density of a projection to be functionally relevant is however far from being trivial.