Sentence examples for distinguished connection from inspiring English sources

We elaborate the almost Hermitian model of Lagrange mechanics on Lie algebroids and define the canonical nonlinear, metric, and distinguished connection and almost complex and symplectic structures all induced by regular Lagrangians.

We shall not work in this direction in this paper, but we note here that the optimal control theory, having explicit relations to the Lagrange mechanics, will obtain a number of new features and possibilities by applying the formalism of Lie N-algebroids provided with metric and distinguished connection (by N-connection structures).

A linear connection D ~ Open image in new window on TM ( D ~ Open image in new window on L π E ) Open image in new window is said to be a distinguished connection (d-connection) if it preserves by parallelism (i.e., by parallel transports defined by the corresponding covariant derivative) the vertical and horizontal distributions (Equation 70) on TM (Equation 71 on L π E Open image in new window).

Accordingly, two sets of connections were distinguished: connections between the motor cortex and the first ring nodes (first ring connections) and connections between the first and second ring nodes (second ring connections).

In particular, a low confidence level in these connections does not mean that they do not exist, but only that they cannot be faithfully distinguished from connections created by the unpredictable effects.

For proper axon guidance during neuronal development, it is of critical importance that neurons can distinguish self-connection from non-self connection.

There seem to be at least three different relations we can distinguish in connection with conditional statements, each of which may bear on questions of necessity and sufficiency.

Recently, they successfully detected the ubiquitin protein and distinguish the connection type between ubiquitin protein and protein using solid-state nanopore with the diameter of 3 nm.

At this point (at least in the second edition text) Kant introduces the key claim that judgment is what enables us to distinguish objective connections of representations that necessarily belong together from merely subjective and contingent associations: "[A] judgment is nothing other than the way to bring given cognitions to the objective unity of apperception.

To distinguish these connections, we parsed our database of cross-covariance functions, and extracted functions that had peak delays between 1 and 4 ms, and halfwidths less than 10 ms (Fig. 11A,B: example cross-covariance functions).

Using both CI and TE, we were able to distinguish significant connections from those produced by chance.