A Very Mean Value Theorem

Holbrook, John; Sung Soo Kim
January 2003
Mathematical Intelligencer;Winter2003, Vol. 25 Issue 1, p42
Academic Journal
Comments on the Mean Value Theorem (MVT) of elementary calculus. Smooth boundary values; Continuous function; Multivariate MVT; Average value of the gradient; Affine focus.


Related Articles

  • A MEAN VALUE PROPERTY OF HARMONIC FUNCTIONS ON THE INTERIOR OF A HYPERBOLA. SYMEONIDIS, E. // Acta Mathematica Universitatis Comenianae;2012, Vol. 81 Issue 2, p143 

    We establish a mean value property for harmonic functions on the interior of a hyperbola. This property connects their boundary values with the interior ones on the axis of the hyperbola from the focus to infinity.

  • On Generalized Flett's Mean Value Theorem. Molnárová, Jana // International Journal of Mathematics & Mathematical Sciences;2012, p1 

    We present a new proof of generalized Flett'smean value theoremdue to Pawlikowska (from 1999) using only the original Flett's mean value theorem. Also, a Trahan-type condition is established in general case.

  • Feature-preserving Deformation for Assembly Models. Masuda, Hiroshi // Computer-Aided Design & Applications;2007, Vol. 4 Issue 1-4, p311 

    This paper proposes a framework for interactively deforming assembly models with multiple disconnected meshes. When the user selects a mesh model and deforms it, other mesh models are simultaneously and consistently deformed while the shapes of the form-features are preserved. The method...

  • The Existence and Long-Time Behavior of Weak Solution to Bipolar Quantum Drift-Diffusion Model*. Chen, Xiuqing; Chen, Li; Jian, Huaiyu // Chinese Annals of Mathematics;Dec2007, Vol. 28 Issue 6, p651 

    The authors study the existence and long-time behavior of weak solutions to the bipolar transient quantum drift-diffusion model, a fourth order parabolic system. Using semi-discretization in time and entropy estimate, the authors get the global existence of nonnegative weak solutions to the...

  • mean.  // Taber's Cyclopedic Medical Dictionary (2009);2009, Issue 21, p1416 

    A definition of the term "mean" which refers to the average of a set of values is presented.

  • The Optimum Mean for Processes with Normally Distributed Measurement Error. Hong, Sung Hoon; Elsayed, E. A. // Journal of Quality Technology;Jul99, Vol. 31 Issue 3, p338 

    Researches on the effect of measurement errors on the optimum process mean for a filling process. Methods of finding optimum process mean and cutoff value; Condition for increases in optimum process mean; Condition for decreases in expected profit.

  • Erratum to: Effects of static contraction and cold stimulation on cardiovascular autonomic indices, trapezius blood flow and muscle activity in chronic neck-shoulder pain. Hallman, David M.; Lindberg, Lars-Göran; Arnetz, Bengt B.; Lyskov, Eugene // European Journal of Applied Physiology;Jul2011, Vol. 111 Issue 8, p1737 

    A correction to the article "Effects of static contraction and cold stimulation on cardiovascular autonomic indices, trapezius blood flow and muscle activity in chronic neck-shoulder pain" that was published in the 2011 issue is presented.

  • Effective integral representation of a boundary value problem with mixed boundary conditions. Moiseev, T. // Doklady Mathematics;May2012, Vol. 85 Issue 3, p347 

    The article focuses on an integral representation of a boundary value problem for the Laplace equation in a semicircle with mixed boundary conditions. A mean value formula was derived and a criterion for the falsity of the formula was established for the solution of the problem. It mentions that...

  • A modified Newton-Raphson procedure. Simons, Stuart // Mathematical Spectrum;2006/2007, Vol. 39 Issue 3, p130 

    A letter to the editor is presented in response to the letter "The rational mean," by Bob Bertuello.


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics