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The characteristics of the stress fields around a singular point on the stress singularity line of dissimilar materials in three-dimensional joints are investigated using BEM.
Recently, Yu and Tian showed that there could be 12 limit cycles around a singular point in a planar cubic-degree polynomial system [10].
For (n =3), the existence of 11 small-amplitude limit cycles around a singular point was proved by [30], which is the best result so far for cubic systems, namely (M 3)=11).
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In the case of such a height field, the singular points are classified into three categories as shown in Figure 2. Note that in each category in Figure 2 the left hand side illustration depicts a terrain shape around each type of a singular point while the right hand side illustration shows the topological transition of the corresponding contour with respect to the height.
We also shot exclusively with one 25mm lense so the past would have a singular point of view; we framed with space around the actors, so actually there's opportunity for them.
An orbit is singular if it contains a singular point.
If all Lyapunov constants of a singular point vanish, then this singular point is a center.
A fiber is a singular fiber if it contains a singular point.
Except at a singular point in the infinitely remote past and possibly in the distant future.
In disentangling the two senses we appreciate that the emergence of self within immunological thinking does not have a singular point of origin nor singular meaning.
It is a singular point which holds potentially the rainwater.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com