Sentence examples for lead to a differential from inspiring English sources

In particular, it is shown that real and positive eigenvalues of the Jacobian of the underlying conservation equations will lead to a differential index of one.

Our results indicate that the networks of regions activated in kinesthetic and visual imagery of motor sequences show a substantial, while not complete overlap, and that the two forms of motor imagery lead to a differential suppression of visual areas.

The existence of a potential for liquid redistribution, and a difference in permeability between the wall and bulk regions are shown to lead to a differential equation describing liquid distribution in the packing, defined by consistent and well-posed boundary conditions that are determined from the physical analysis.

The case c ≠ 1 will not directly lead to a differential operator, because the operator B ˆ c is not the Fourier transform of a differential operator (unless c is an odd natural number).

First consider from Eq. (15) that the location of the focal plane with respect to the mth interface is a function of Δ z 0. Thus an incremental change in Δ z 0 will lead to a differential change in Δ z m.

This interspecies difference could lead to a differential response to VDR ligands and would be worth a more detailed investigation.

This technique, typical of the calculus of variations, led to a differential equation whose solution is a curve called the cycloid.

However, it is unclear whether these types of wounds induce different signals, or whether the presence or absence of tissue leads to a differential interpretation of the same generic wound-induced signals (Fig. 1).

This relationship, which relates the energy flow to the energy density, leads to a differential equation similar to the heat conduction equation in steady state conditions.

Recent brain imaging studies have revealed that viewing videos of grasping actions led to a differential activation of the ventral premotor cortex depending on whether the entire person is viewed versus only their disembodied hand.

The corresponding decomposition of effects led to a differential understanding of the interplay of control and value appraisals over time.