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17 hours ago · A(v + rw, w) = A(v, w) for any real number r, since adding a multiple of w to v affects neither the base nor the height of the parallelogram and consequently preserves its area. A(e 1, e 2) = 1, since the area of the unit square is one. The cross product (blue vector) in relation to the exterior product (light blue parallelogram).
17 hours ago · Brighter areas correspond to higher probability density for a position measurement. The center of each figure is the atomic nucleus, a proton. An example of an eigenvalue equation where the transformation is represented in terms of a differential operator is the time-independent Schrödinger equation in quantum mechanics:
