I have some problem here with the 2D complex vector.
Either 1j2 and 4j10 are vectors (2D) measured from the origin OR they
specify a vector in terms of two end points.
In the first case they each have independent norms 1.414 and 2.236 as
given by (|)
In the second case the vector is,for example, the difference (+/-)
3j8which has a norm 8.544
when en produces the same result for a 4D vector 1 2 4 10 and for 2 2D
vectors, we are somehow sending one of these into the third and fourth
dimensions.
My problem is that a norm is defined for each of the vectors and or the
vector result of operations on these vectors. en appears to be work
for a single vector in any dimensional space but the Euclidean norm is a
measure of the length of an individual vector- not of two independent
vectors in the same space.
Don Kelly
On 16/12/2013 7:24 AM, Bo Jacoby wrote:
NB. I would omit ("1) and arrange multiple vectors in columns.
en =: [: %: [: +/(* +)
]zz =: |: 2 2 $ 1j1 1j1 1j2 4j10 NB. two column vectors
1j1 1j2
1j1 4j10
en 1 2 4 10 NB. norm of 4D real vector
11
en 1j2 4j10 NB. 2D complex vector
11
en zz NB. norms of column vectors
2 11
Den 15:42 mandag den 16. december 2013 skrev Lippu Esa <[email protected]>:
Very nice indeed!
Esa
-----Original Message-----
From: [email protected]
[mailto:[email protected]] On Behalf Of Aai
Sent: 16. joulukuuta 2013 14:42
To: [email protected]
Subject: Re: [Jprogramming] Length of a vector
|@j./"1 yy
5 13
17 25
On 16-12-13 04:38, km wrote:
This is an easy one, but let's see what you come up with.
The Euclidian norm or length of a vector is the square root of the sum of the
squares of its components. Write verb en below. It should be able to find
the length of a vector of any number of components.
]yy =: 2 2 2 $ 3 4 5 12 8 15 7 24
3 4
5 12
8 15
7 24
en yy NB. lengths of 3 4 and 5 12 and 8 15 and 7 24
5 13
17 25
-- Kip Murray
Sent from my iPad
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