Contour line future weather patterns. Isobars are commonly used in television weather reporting. Isallobars are lines joining points of equal pressure change during a specific time interval. These can be divided into "anallobars", lines joining points of equal pressure increase during a specific time interval, and "katallobars", lines joining points of equal pressure decrease. In general, weather systems move along an axis joining high and low isallobaric centers. Isallobaric gradients are important components of the wind as they increase or decrease the geostrophic wind. An isopycnal is a line of constant density. An "isoheight" or "isohypse" is a line of constant geopotential
Closest pair of points problem left of the dividing line we have to compare the distances to the points that lie in the rectangle of dimensions bordering the dividing line on the right side, as shown in the figure. And what is more, this rectangle can contain at most six points with pairwise distances at least . Therefore, it is sufficient to compute at most left-right distances in step 4. The recurrence relation for the number of steps can be written as , which we can solve using the master theorem for divide-and-conquer recurrences to get . As the closest pair of points define an