This construct is often called a dynamic graph – drawing from the field of Graph Theory – where the participants are nodes, and the connections are the edges.
The graph is drawn from a random ensemble with the property that the eigenvalues λ i and eigenvectors v i of the associated graph Laplacian are nearly independent.
As a child, she and a friend would track their pets' behavior by drawing pixels on a graph.
The graph is drawn from a random ensemble with the property that the joint (eigenvalue, eigenvector) distribution is nearly invariant under permutation of eigenvectors.
If the graph Laplacian were drawn from a symmetric Gaussian ensemble (or Wigner ensemble; see [19, 20]), then the eigenvalues and the eigenvectors would be independent.
That graph, drawn from an analysis by Rutgers University Professor Paul Jargowsky, shows the "index of dissimilarity" between whites and blacks, whites and Hispanics, and the poor and non-poor in the U.S. The index measures the extent to which two groups are isolated from each other – a score of 0 reflects total integration, a score of 1 total segregation.
Big Web Quiz and Emoji Party offer two very different trivia experiences to the app, with Web Quiz drawing from Google's Knowledge Graph to generate a healthy stock of questions to burn through, while Emoji Party lets you play a guessing game involving translating the communication icons into famous movie titles.
The more pertinent conclusions that can be drawn from this graph are thus associated with the higher probabilities of the intention to complete.
Figs. 8 and 9 demonstrate that there are some minor differences in results depending on whether population ratios or cell-by cell ratios are calculated, but the conclusion that the relative scattering efficiency of lysosomes and mitochondria does not very between cell types can be drawn from either graph.
Facebook is hoping, of course, that users will embrace this — they'll effectively have a personalized Internet experience that automatically draws from their social graph and demographic information, like age, sex, and location.
An edge crossing another one is an undesirable event in drawing a graph.
