Re: Third dimension...



On 2007-10-31 12:52:01 -0400, "jay1bala@xxxxxxx" <jay1bala@xxxxxxx> said:

On Oct 31, 10:28 am, David W. Cantrell <DWCantr...@xxxxxxxxxxx> wrote:

What is to the third dimension as a point is to the first dimension and as
a line is to the second dimension?

As I noted in my original response, the answer should be "plain" to see.

David


Well put. Now ... borrowing that...

What is to the fourth dimension
as a point is to the first dimension,
as a line is to the second dimension and
as a plain is to the third dimension?

Regards,
Jay Bala.

The answer is an affine linear subspace of codimension 1 a.k.a. a hyperplane.

This answer also works for all your other analogies in this pattern too.

--

-kira

.



Relevant Pages

  • Re: FLT - new thread
    ... Imagine two line of equal length, these lines are in 1 dimension. ... Imagine a flat plain. ... at one corner is another smaller square. ...
    (sci.math)
  • Re: Third dimension...
    ... as a line is to the second dimension? ... As I noted in my original response, the answer should be "plain" to ... What is to the fourth dimension ... as a point is to the first dimension, ...
    (sci.math)
  • Re: Third dimension...
    ... a line is to the second dimension? ... As I noted in my original response, the answer should be "plain" to see. ... borrowing that... ... What is to the fourth dimension ...
    (sci.math)
  • Re: Third dimension...
    ... a line is to the second dimension? ... as a point is to the first dimension, ... as a plain is to the third dimension? ...
    (sci.math)
  • Re: Question regarding view
    ... dimension called sellto_dim and second dimension called shipto_dim ... is if it's possible to add primary key constraint to view and connect ... First of all if this is a data warehouse you don't need any primary ...
    (comp.databases.oracle.misc)