British flag theorem British flag theorem In Euclidean geometry, the British flag theorem says that if a point "P" is chosen inside rectangle "ABCD" then the sum of the squared Euclidean distances from "P" to two opposite corners of the rectangle equals the sum to the other two opposite corners. As an equation: The theorem also applies to points outside the rectangle, and more generally to the distances from a point in Euclidean space to the corners of a rectangle embedded into the space. Even more generally, if the sums of squared distances from a point "P" to the two pairs of opposite
Familiar stranger and evenly distributed. This indicates that person's familiar stranger network can quickly stretch an entire metropolitan area. Wi-Fi usage data for university campuses have provided additional datasets for analyzing familiar strangers. These datasets have yielded similar results as the bus usage data, but the researchers divided relationships based on regularity of interaction and closeness of relationship. Familiar stranger relationships develop in a predictable manner. They depend on regularity, on-going contact, and public spaces. Online social networks are ubiquitous today. But in these digital contexts, it is unclear what defines a familiar stranger relationship. An initial definition put forward has been