In mathematics, the maximum modulus principle in complex analysis states that if f is a holomorphic function, then the modulus cannot exhibit a true local maximum that is properly within the domain of f.
In other words, either f is a constant function, or, for any point z0 inside the domain of f there exist other points arbitrarily close to z0 at which |f | takes larger values.
Read more about Maximum Modulus Principle: Formal Statement, Sketch of The Proof, Physical Interpretation, Applications
Famous quotes containing the words maximum and/or principle:
“Probably the only place where a man can feel really secure is in a maximum security prison, except for the imminent threat of release.”
—Germaine Greer (b. 1939)
“If there be one principle more deeply rooted than any other in the mind of every American, it is that we should have nothing to do with conquest.”
—Thomas Jefferson (1743–1826)