| Version 7 |
Version 6 |
| The word orthogonal comes from the Greek \emph{orthE} and \emph{gonia}, or ``right angle.'' It was originally used as synonym of perpendicular. This is where the use of ``orthogonal'' in orthogonal lines, orthogonal circles, and other geometric terms come from. |
The word orthogonal comes from the Greek \emph{orthE} and \emph{gonia}, or ``right angle.'' It was originally used as synonym of perpendicular. This is where the use of ``orthogonal'' in orthogonal lines, orthogonal circles, and other geometric terms come from. |
|
|
| In the realm of linear algebra, two vectors are ortogonal when their dot product is zero, which gave rise a generalization of two vectors on some inner product space (not necessarily dot product) being orthogonal when their inner product is zero. |
In the realm of linear algebra, two vectors are ortogonal when their dot product is zero, which gave rise a generalization of two vectors on some inner product space (not necessarily dot product) being orthogonal when their inner product is zero. |
|
|
| There are also particular definitions on the following entries: |
There are also particular definitions on the following entries: |
| \begin{itemize} |
\begin{itemize} |
| \item orthogonal matrices |
\item orthogonal matrices |
| \item orthogonal polynomials |
\item orthogonal polynomials |
| \item orthogonal vectors |
\item orthogonal vectors |
| \end{itemize} |
\end{itemize} |
|
|
|
In a more broad sense, it can be said that two objects are orthogonal if they do not ``coincide'' in some way.
|
In a more broad sense, it can be said that two objects are orthogonal if they do not ``coincide'' in some sense.
|
