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An illustration of Newton's method. In numerical analysis, the Newton–Raphson method, also known simply as Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function.
Figure 1. Plots of quadratic function y = ax 2 + bx + c, varying each coefficient separately while the other coefficients are fixed (at values a = 1, b = 0, c = 0). A quadratic equation whose coefficients are real numbers can have either zero, one, or two distinct real-valued solutions, also called roots.
X 0 0 1 1: Off Switches off a device X 0 1 0 0: Dim Reduces the light intensity X 0 1 0 1: Bright Increases the light intensity X 0 1 1 1: Extended code Extension code X 1 0 0 0: Hail request Requests a response from the device(s) with the house code indicated in the message X 1 0 0 1: Hail acknowledgement Response to the previous command X 1 0 ...