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Consider a compact Calabi-Yau manifold X with a holomorphic fibration F: X to B over some base B, together with a "collapsing" path of Kahler classes of the form [F*omega_B] + t * [omega_X] for t in (0,1].
Consider a compact Calabi-Yau manifold \(X\) with a holomorphic vibration \(F: X \rightarrow B\) over some base \(B\), together with a "collapsing" path of Kahler classes of the form \ [F^*\omega _B] + t [\omega _X]\) for \(t \in (0,1]\).
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At Surfers Point in Ventura County, officials turned an eroding parking lot and collapsing bike path into a cobble beach backed by vegetated dune.
It makes sense that love would go the same way -- just another failed ideology, like communism, collapsing in the path of the market's indiscriminate force to lay bare the economic decision at the core.
In my opinion, Iran is like a family that is on the path of collapsing internally and which, to solve its problem and improve the situation, is reaching to the neighbors.
Its second path for collapsing the talks is to push for a non-starter final agreement -- a return to the Bush administration's policy of a complete dismantlement of the Iranian nuclear program and zero enrichment.
The DAG N H (i, j ) is obtained by removing from N the arc (u, v) and collapsing the resulting elementary path with intermediate node v into a single arc (Fig. 7).
Suppose also that N is not a tree with two leaves, which is equivalent to have that u is not the root of N. The DAG N TR (i, j ) is obtained by removing from N the leaf j and its incoming arc, and collapsing the created elementary path into a single arc (Fig. 6).
A 150-foot stretch of the bike path collapsed when it was hit by a wave, lifting the path — and at least two people — from its concrete struts and dumping it onto the rocks below.
The DAG N H (i, j ) is obtained by removing from N the arc (u, v) and collapsing the created elementary paths with respective intermediate nodes u and v into single arcs (Fig. 8).
"International unity will collapse and the path to conflict will widen".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com