Mason's Rule - Formula

Formula

The gain formula is as follows:


where:

  • Δ = the determinant of the graph.
  • yin = input-node variable
  • yout = output-node variable
  • G = complete gain between yin and yout
  • N = total number of forward paths between yin and yout
  • Gk = gain of the kth forward path between yin and yout
  • Li = loop gain of each closed loop in the system
  • LiLj = product of the loop gains of any two non-touching loops (no common nodes)
  • LiLjLk = product of the loop gains of any three pairwise nontouching loops
  • Δk = the cofactor value of Δ for the kth forward path, with the loops touching the kth forward path removed. *

Read more about this topic:  Mason's Rule

Famous quotes containing the word formula:

    Beauty, like all other qualities presented to human experience, is relative; and the definition of it becomes unmeaning and useless in proportion to its abstractness. To define beauty not in the most abstract, but in the most concrete terms possible, not to find a universal formula for it, but the formula which expresses most adequately this or that special manifestation of it, is the aim of the true student of aesthetics.
    Walter Pater (1839–1894)

    Every formula which expresses a law of nature is a hymn of praise to God.
    Maria Mitchell (1818–1889)

    My formula for greatness in human beings is amor fati: that one wants to change nothing, neither forwards, nor backwards, nor in all eternity. Not merely to endure necessity, still less to hide it—all idealism is mendacity in the face of necessity—but rather to love it.
    Friedrich Nietzsche (1844–1900)