Re: [Jprogramming] Length of a vector

2013-12-20 Thread Don Kelly
The absolute values |Eox| and |Eoy| (as stated in your reference) themselves make a single 2D vector which has an Euclidian norm. A similar but simpler problem is the field under a long (z-directed) multiphase transmission line. For AC at 60Hz, , phasor values of line voltages are used ( a qua

Re: [Jprogramming] Length of a vector

2013-12-20 Thread Don Kelly
Yes -you have it. Actually there are many real problems which could be considered as having more than 4 dimensions. A load flow for a power system (for which all quantities are expressed as complex) may have, in some cases, well over 1000 variables-i.e the 'dimensions' . Don. On 19/12/2013 5

Re: [Jprogramming] Length of a vector

2013-12-20 Thread Don Kelly
I have no problem with an Euclidian norm in any n-space. However this is a norm of a single vector .NOT two independent vectors in the same 2D space. en treats the latter as a single 4D vector. - which isn't right. Don . On 20/12/2013 4:37 AM, EelVex wrote: You can apply an Euclidian norm i

Re: [Jprogramming] Length of a vector

2013-12-20 Thread Bo Jacoby
See https://en.wikipedia.org/wiki/Jones_calculus for an application of 2D complex vectors and their euclidean norms. Den 15:07 fredag den 20. december 2013 skrev km : "I don't think the Euclidian norm applies in this case [a vector of two complex numbers].  If so, please let me know how. 

Re: [Jprogramming] Length of a vector

2013-12-20 Thread km
"I don't think the Euclidian norm applies in this case [a vector of two complex numbers]. If so, please let me know how. Don" I don't know how without knowing the application. Besides the Euclidian norm there are the taxicab norm (sum of absolute values) and sup norm (maximum of absolute valu

Re: [Jprogramming] Length of a vector

2013-12-20 Thread EelVex
You can apply an Euclidian norm in any n-dimensional space you like. What do you mean it might not apply in this case? On Fri, Dec 20, 2013 at 6:02 AM, Don Kelly wrote: > I have little problem with complex numbers, having used them for the last > 70 years and surviving math and other grad cou