Sentence examples for nonlinear connections from inspiring English sources

Your sense of judgment is quieted, you're making nonlinear connections, you're more likely to come up with great ideas.

Such spaces are enabled with nonholonomic structures, i.e nonintegrable distributions, defined by nonlinear connections (in brief, N-connection).

The main focus of the paper is to evaluate seismic fragility of nonlinear connections in large piping systems.

In N-anholonomic Lie Algebroids Section, we clarify the relevance of the geometry of nonlinear connections to the geometric models of mechanics on tangent bundles and Lie algebroids.

It uses the Receptance Harmonic Balance Method (RHBM) to generate the backward operator using measurements of the vibration at the engine casing, provided there is at least one linear connection between rotor and casing, apart from the nonlinear connections.

Sure, for B. Riemann, it was an unknown fact that if we consider general (nonholonomic) frames with associated nonlinear connections (the Cartan's moving frame geometry, see in [61]) and off-diagonal metrics, the Lagrange and Finsler geometry may be derived naturally even from quadratic metric forms adapted to the N-connection structure.

We start with the definition of nonlinear connection for vector bundles: Definition 1.

In these analyses, finite element technique considering nonlinear connection stiffness and geometrical non-linearity is applied.

As a special case vibrations of harmonic oscillators with fraction order nonlinear connection are considered.

Four nonlinear connection curves are used as shown in Fig. 4 and these parameters are listed in Table 1.

The theory of Lie algebroids provided with nonlinear connection structure is formulated in N-Connections, Geometric Mechanics and Lie Algebroids section.