Functions of Two or More Independent Variables

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


We recall the formula
$$ \begin{array}{*{20}c} {z = (xy)^{\frac{1}{2}} } \hfill & {(x \geqq 0,\,y \geqq 0)} \hfill \\ \end{array} $$
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.


Partial Differential Equation Partial Derivative Diffusion Equation Minimum Point Maximum Point 
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Copyright information

© Springer-Verlag Berlin · Heidelberg 1975

Authors and Affiliations

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

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