Three-Dimensional Givens Rotations
Note: The math on this page is progressively rendered. It can take up to 45 seconds before the final rendering…
Read moreOnline Weighted Mean
Given the following set of inputs and their associated weights: {(x1,w1),(x2,w2),…,(xn−1,wn−1),(xn,wn)} Let n be the number of inputs and their…
Read moreOnline Covariance
Given the following set of two-dimensional inputs: {(x1,y1),(x2,y2),…,(xn−1,yn−1),(xn,yn)} Let n be the number of two-dimensional inputs, X represent the x…
Read moreOnline Variance
Let n be the number of values, vn be the biased sample variance of the first n values, vn−1 be…
Read moreTwo-Dimensional Givens Rotation
The following matrix is the two-dimensional Givens Rotation from the x axis to the y axis: (cos(θ)cos(θ+90°)sin(θ)sin(θ+90°))(cos(θ)cos(θ+π2)sin(θ)sin(θ+π2))(cos(θ)−sin(θ)sin(θ)cos(θ)) This matrix rotates…
Read more