A vector in the Cartesian plane is an ordered pair (a, b) of real numbers. This is the mathematician's concise definition of a two-dimensional vector. Physicists and engineers like to develop this concept a bit more for the purpose of applying...

One of the perplexing problems confronting early mathematicians involved the imaginary number i, which represents the square root of -1. Mathematicians had been able to conceive of real numbers as points on a line. Addition, subtraction,...

A vector is a quantity that has both magnitude and direction. A scalar, for comparison, has only magnitude. Velocity and displacement are everyday examples of vectors. An arrow with a direction is used to draw a vector. An arrow above a letter is used...

A spatial vector, or simply vector, is a concept characterized by a magnitude and a direction, and which sums with other vectors according to the Parallelogram law. A vector can be thought of as an arrow in Euclidean space, drawn from an initial point A...

ABSTRACT This study investigates and quantifies in detail the spatial correlations of random errors in atmospheric motion vectors (AMVs) derived by tracking structures in imagery from geostationary satellites. A good specification of the observation error is essential to assimilate any kind of observation...

An understanding of the spatial distribution of the black-legged tick, Ixodes scapularis, is a fundamental component, in assessing human risk for Lyme disease in much of the United States. Although a county-level vector distribution map exists for the United States, its accuracy is...

The popular online hangout MySpace said Monday it will experiment with a video-filtering system designed to block clips containing copyright materials.MySpace is licensing technology from Audible Magic Corp., which late last year obtained rights to a system for scanning video clips and looking for signature...

The popular online hangout MySpace said Monday it will experiment with a video-filtering system designed to block clips containing copyright materials.MySpace is licensing technology from Audible Magic Corp., which late last year obtained rights to a system for scanning video clips and looking for signature...