Sentence examples for manifold further from inspiring English sources

It is widely accepted that unmanaged stands or old-growth forests are of paramount importance for carbon storage and manifold further environmental services.

Conventional dimension reduction techniques like linear discriminant analysis (LDA), principal component analysis (PCA), and locality preserving projection (LPP) can thus be applied on the Grassmann manifold to further improve recognition accuracy [12 14].

In addition, the high dimensionality of this manifold structure further complicates the situation, if not rendering it impossible to resolve.

In this section we recall some basic definitions and some basic results of Riemannian manifolds, for further study these materials are available in (cf. [15]).

In certain important special cases, alternative versions of the hole argument can be mounted against the manifold-plus-further-structure substantivalists.

The boundary curves were then constructed by smoothing across the manifold using a further principal curve.

However, clusters found by Isomap do not perfectly reproduce invariance manifold, suggesting that further research into signaling networks dynamics at the systems wide level will be required to corroborate this idea.

Analytic manifolds satisfy some further conditions of smoothness [16].

After the disaster (referred to by Progenitors as "Tau Ceti Flowering"), the Progenitors split into two factions: Manifold Caretakers, opposed to further experimentation and dedicated to preventing another Flowering; and Manifold Usurpers, favoring further experimentation and intending to induce a controlled Flowering in Alpha Centauris Planet.

As the second generation, sequential injection offered great freedom in the design of the flow manifold in addition to further downscaling sample consumption.

Thus one might be tempted to identify spacetime with the manifold of events plus some further structure that supplies these spatiotemporal notions.