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updating matrices section of handbook

cvs
Slava Pestov 2005-05-23 02:16:31 +00:00
parent 135a114787
commit d43710eece
1 changed files with 8 additions and 9 deletions
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doc/handbook.tex
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@ -3487,7 +3487,7 @@ Outputs a vector with the same direction, but length 1. Defined as follows:
\vocabulary{matrices}
\ordinaryword{cross}{cross~( v1 v2 -- vec )}
}
Computes the cross product $v_1\times v_2$. The following example illustrates the mathematical fact that a cross product of two vectors is always orthogonal to either vector.
Computes the cross product $v_1\times v_2$. The following example illustrates the fact that a cross product of two vectors is always orthogonal to either vector.
\begin{alltt}
\textbf{ok} \tto 1 6/7 -8 \ttc \tto 8/5 3 -2 \ttc cross .
\textbf{\tto 156/7 -54/5 -118/35 \ttc}
@ -3532,9 +3532,9 @@ Creates a new $n\times n$ matrix where all elements on the main diagonal are 1,
\begin{alltt}
\textbf{ok} 3 <identity-matrix> prettyprint
M[ [ 1 0 0 ]
\textbf{M[ [ 1 0 0 ]
[ 0 1 0 ]
[ 0 0 1 ] ]M
[ 0 0 1 ] ]M}
\end{alltt}
The following are the usual algebraic operations on matrices.
@ -3552,19 +3552,19 @@ Multiplies each element of a matrix by a scalar.
\wordtable{
\vocabulary{matrices}
\ordinaryword{m+}{m+ ( matrix matrix -- matrix )}
\ordinaryword{m+}{m+~( matrix matrix -- matrix )}
}
Adds two matrices. They must have the same dimensions.
\wordtable{
\vocabulary{matrices}
\ordinaryword{m+}{m+ ( matrix matrix -- matrix )}
\ordinaryword{m-}{m-~( matrix matrix -- matrix )}
}
Subtracts two matrices. They must have the same dimensions.
\wordtable{
\vocabulary{matrices}
\ordinaryword{m*}{m* ( matrix matrix -- matrix )}
\ordinaryword{m*}{m*~( matrix matrix -- matrix )}
}
Multiplies two matrices element-wise. They must have the same dimensions. This is \emph{not} matrix multiplication in the usual mathematical sense.
@ -3580,9 +3580,8 @@ Composes two matrices as linear operators. This is the usual mathematical matrix
}
Outputs a matrix where each row is a column of the original matrix, and each column is a row of the original matrix.
\begin{alltt}
\textbf{ok}
\textbf{M[ [ 5 0 ]
[ 0 5 ] ]M}
\textbf{ok} M[ [ 1 2 ] [ 3 4 ] [ 5 6 ] ]M transpose .
\textbf{M[ [ 1 3 5 ] [ 2 4 6 ] ]M}
\end{alltt}
\subsubsection{Column and row matrices}