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)
“Help thyself: then everyone will help thee too. Principle of Christian charity.”
—Friedrich Nietzsche (1844–1900)