Re: Complex Arithmetic

2005-05-20 Thread Edward Cherlin
On Thursday 19 May 2005 09:39, Luke Palmer wrote: > On 5/19/05, Edward Cherlin <[EMAIL PROTECTED]> wrote: > > It turns out that the domain and range and the location of > > the cut lines have to be worked out separately for different > > functions. Mathematical practice is not entirely consistent >

Re: Complex Arithmetic

2005-05-19 Thread Sam Vilain
Edward Cherlin wrote: There was a discussion of the principal value of square root on this list some time back, making the point that for positive [...] It turns out that the domain and range and the location of the cut lines have to be worked out separately for different functions. Mathemat

Re: Complex Arithmetic

2005-05-19 Thread Luke Palmer
On 5/19/05, Edward Cherlin <[EMAIL PROTECTED]> wrote: > It turns out that the domain and range and the location of the > cut lines have to be worked out separately for different > functions. Mathematical practice is not entirely consistent in > making these decisions, but in programming, there seem

Complex Arithmetic

2005-05-19 Thread Edward Cherlin
There was a discussion of the principal value of square root on this list some time back, making the point that for positive real numbers the positive square root is the value of the standard function. In the complex plane it is desirable to define the principal value at every point so as to pr