One proof of Bessel's inequality involves projecting onto the span of the first n members of a family of vectors, and then applying this theorem.
One proof of Bessel's inequality involves projecting onto the span of the first n members of a family of vectors, and then applying this theorem. In probability, this theorem can be used to show that the covariance of the sum of two independent random variables is equal to the sum of the covariances. Two consecutive applications of this theorem can be used to compute the length of the space diagonal of a cube. This theorem can be proven by dropping an altitude to the longest side of a triangle, and then using the fact that that altitude divides the triangle into two triangles that are similar to both each other and the original triangle. For ten points, name this theorem that states that in a right triangle with sides a, b, and c, a squared plus b squared equals c squared.
One proof of Bessel's inequality involves projecting onto the span of the first n members of a family of vectors, and then applying this theorem.
Pythagorean theorem