Sentence examples for unstable dimension from inspiring English sources

The stable/ unstable dimension refers to whether the carer believes the cause is likely to persist and influence future events in the same way, or if it is likely to be transient or to fluctuate.

From [13, Theorem  4.2] (or [5, Theorem  2.4]), it yields that there exists a stable manifold of dimensions and an unstable manifold of one-dimension in a neighborhood of.

According to our previous studies, the 2D fast magnetic reconnection process is unstable in three dimensions, as shown below.

Cement mantle composite permeability and one-dimension unstable seepage were used to describe the channeling of high pressure gas based on the analysis of the structure of the cement mantle containing micro-fractures and the seepage process of high pressure gas.

It was also an unstable one with one dimension being divergent and another two dimensions forming an unstable limit cycle.

In order to evaluate the idea, we have analyzed the self-filtering unstable resonator in two dimensions with Ne-like Fe soft x-ray active medium for transitions 2p53p→2p53s and 3d94d→3d94p at 25.5 nm.

When a micro feature is of the same size order as microstructure of alloy, the machining performance of micro EDM varies due to the difference between the thermal properties of the crystal grain and that of the granular boundary, resulting in undesired dimensions and unstable machining process.

The fractal dimension of the unstable flame is found to vary locally and depends on the phase within the period of oscillation.

Our definition of exponential dichotomy follows partially the definition given by Chow and Leiva (1996) in [4] in the sense that we allow the unstable subspace to have infinite dimension.

Therefore, assessment of this dimension was rather unstable.

Some stars pass through an unstable stage in which their dimensions, temperature, and luminosity change cyclically over periods of hours or days.