Advertisement

Functions of Two or More Independent Variables

  • Edward Batschelet
Part of the Biomathematics book series (SSE)

Abstract

We recall the formula
$$ \begin{array}{*{20}c} {z = (xy)^{\frac{1}{2}} } \hfill & {(x \geqq 0,\,y \geqq 0)} \hfill \\ \end{array} $$
(12.1.1)
for the geometric mean of two numbers x and y. Consider x and y as variables whose values can be chosen independently of each other. Then with each pair (x, y) there is uniquely associated a number z, the geometric mean. In Chapter 3 we called such an association a function. We say that z is a function of the pair (x, y), or the pair (x, y) is mapped into z. It is also customary to call z a function of two variables x and y.

Keywords

Partial Differential Equation Partial Derivative Diffusion Equation Minimum Point Maximum Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin · Heidelberg 1975

Authors and Affiliations

  • Edward Batschelet
    • 1
  1. 1.Mathematisches Institut der Universität ZürichSwitzerland

Personalised recommendations