Loading...
Please wait, while we are loading the content...
Similar Documents
Function Evaluation on Branch Cuts (1996)
| Content Provider | CiteSeerX |
|---|---|
| Author | Rich, Albert D. Jeffrey, David J. |
| Abstract | Introduction Once it is decided that a CAS will evaluate multivalued functions on their principal branches, questions arise concerning the branch definitions. The first questions concern the standardization of the positions of the branch cuts. These questions have largely been resolved between the various algebra systems and the numerical libraries, although not completely. In contrast to the computer systems, many mathematical textbooks are much further behind: for example, many popular textbooks still specify that the argument of a complex number lies between 0 and 2ß. We do not intend to discuss these first questions here, however. Once the positions of the branch cuts have been fixed, a second set of questions arises concerning the evaluation of functions on their branch cuts. In [2], Kahan considered the closure problem from several points of view and discussed different possible solutions. One of his proposals was a principle called counter clockwise cont |
| File Format | |
| Volume Number | 116 |
| Journal | SIGSAM Bulletin |
| Language | English |
| Publisher Date | 1996-01-01 |
| Access Restriction | Open |
| Subject Keyword | Branch Cut Function Evaluation First Question Concern Principal Branch Clockwise Cont Question Arises Many Popular Textbook Branch Definition Various Algebra System Second Set Computer System Different Possible Solution Numerical Library Complex Number First Question Many Mathematical Textbook Several Point Closure Problem |
| Content Type | Text |
| Resource Type | Article |
