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Then the vertices ( i, j, k ) and ( k, j, i ) are symmetric about the n th height of the graph.
For simplicity, in each height of the graph, we list the vertices ( i, j, k ) decreasingly by lexicographic order.
It follows from Eq. (1.4), Corollary 3.2, and Theorem 3.1 that the order of the graph (the numbers of vertices in the graph) is the algebraic multiplicity of γ, q k are 1 plus the distance between vertices ( ⌈ n 2 ⌉ + k, 0, ⌈ n 2 ⌉ − k ) and ( ⌈ n 2 ⌉ − k, 0, ⌈ n 2 ⌉ + k ), and the numbers of vertices in the n th height of the graph is the geometric multiplicity of γ.
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Each gray curve represents points that give the same height on the graph.
As is seen in the graph, the height of the four survival curves is arranged in strict order of the number of children.
For this level the graph generally degenerates to a column graph, each column representing a repeat, with the height of the line representing the repeat's length.
These results are reflected by the heights of the bars in the graph.
The graph is a class-frequency histogram, with the height of the columns being proportional to the percentage of cross-sections with a particular index of stenosis range.
At the height of the global financial crisis in 2009, newly elected US president Barack Obama used the graphs of the economist and his team, upsetting Republican thinktanks, which complained that "these French economists were influencing the politics in the US".
Outliers in the graphs are values between 1.5 and 3 times the height of the box, above or below.
This is the origin of the graph.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com