When another data point is inserted and the Voronoi diagram reconstructed, the newly created region displaces the area that once belonged to the old regions. Those points whose regions were displaced are considered natural neighbours to the new point. The weight of each natural neighbour is given by the area taken from the total area occupied by the new region. In 3D, we measure polyhedral volumes instead of areas.
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identity function for slices that are already allocated in the heap.
The alarm comes from changes in the way taxpayers’ money is invested by UK Research and Innovation (UKRI), which recently published its plan on how to disburse £38.6bn of public research and development funding over the next four years. Change is always unsettling, and as the UKRI’s chief executive, Ian Chapman, says, there will always be those who lose out when change happens. Difficult choices must be made.