Info Catalog calc: Reducing and Mapping calc: Matrix Functions

calc: Vector and Matrix Formats

 
 10.9 Vector and Matrix Display Formats
 ======================================
 
 Commands for controlling vector and matrix display use the ‘v’ prefix
 instead of the usual ‘d’ prefix.  But they are display modes; in
 particular, they are influenced by the ‘I’ and ‘H’ prefix keys in the
 same way (Display Modes).  Matrix display is also influenced by
 the ‘d O’ (‘calc-flat-language’) mode; Normal Language Modes.
 
    The commands ‘v <’ (‘calc-matrix-left-justify’), ‘v >’
 (‘calc-matrix-right-justify’), and ‘v =’ (‘calc-matrix-center-justify’)
 control whether matrix elements are justified to the left, right, or
 center of their columns.
 
    The ‘v [’ (‘calc-vector-brackets’) command turns the square brackets
 that surround vectors and matrices displayed in the stack on and off.
 The ‘v {’ (‘calc-vector-braces’) and ‘v (’ (‘calc-vector-parens’)
 commands use curly braces or parentheses, respectively, instead of
 square brackets.  For example, ‘v {’ might be used in preparation for
 yanking a matrix into a buffer running Mathematica.  (In fact, the
 Mathematica language mode uses this mode; Mathematica Language
 Mode.)  Note that, regardless of the display mode, either brackets or
 braces may be used to enter vectors, and parentheses may never be used
 for this purpose.
 
    The ‘v ]’ (‘calc-matrix-brackets’) command controls the “big” style
 display of matrices, for matrices which have more than one row.  It
 prompts for a string of code letters; currently implemented letters are
 ‘R’, which enables brackets on each row of the matrix; ‘O’, which
 enables outer brackets in opposite corners of the matrix; and ‘C’, which
 enables commas or semicolons at the ends of all rows but the last.  The
 default format is ‘RO’.  (Before Calc 2.00, the format was fixed at
 ‘ROC’.)  Here are some example matrices:
 
      [ [ 123,  0,   0  ]       [ [ 123,  0,   0  ],
        [  0,  123,  0  ]         [  0,  123,  0  ],
        [  0,   0,  123 ] ]       [  0,   0,  123 ] ]
 
               RO                        ROC
 
        [ 123,  0,   0            [ 123,  0,   0 ;
           0,  123,  0               0,  123,  0 ;
           0,   0,  123 ]            0,   0,  123 ]
 
                O                        OC
 
        [ 123,  0,   0  ]           123,  0,   0
        [  0,  123,  0  ]            0,  123,  0
        [  0,   0,  123 ]            0,   0,  123
 
                R                       blank
 
 Note that of the formats shown here, ‘RO’, ‘ROC’, and ‘OC’ are all
 recognized as matrices during reading, while the others are useful for
 display only.
 
    The ‘v ,’ (‘calc-vector-commas’) command turns commas on and off in
 vector and matrix display.
 
    In vectors of length one, and in all vectors when commas have been
 turned off, Calc adds extra parentheses around formulas that might
 otherwise be ambiguous.  For example, ‘[a b]’ could be a vector of the
 one formula ‘a b’, or it could be a vector of two variables with commas
 turned off.  Calc will display the former case as ‘[(a b)]’.  You can
 disable these extra parentheses (to make the output less cluttered at
 the expense of allowing some ambiguity) by adding the letter ‘P’ to the
 control string you give to ‘v ]’ (as described above).
 
    The ‘v .’ (‘calc-full-vectors’) command turns abbreviated display of
 long vectors on and off.  In this mode, vectors of six or more elements,
 or matrices of six or more rows or columns, will be displayed in an
 abbreviated form that displays only the first three elements and the
 last element: ‘[a, b, c, ..., z]’.  When very large vectors are involved
 this will substantially improve Calc’s display speed.
 
    The ‘t .’ (‘calc-full-trail-vectors’) command controls a similar mode
 for recording vectors in the Trail.  If you turn on this mode, vectors
 of six or more elements and matrices of six or more rows or columns will
 be abbreviated when they are put in the Trail.  The ‘t y’
 (‘calc-trail-yank’) command will be unable to recover those vectors.  If
 you are working with very large vectors, this mode will improve the
 speed of all operations that involve the trail.
 
    The ‘v /’ (‘calc-break-vectors’) command turns multi-line vector
 display on and off.  Normally, matrices are displayed with one row per
 line but all other types of vectors are displayed in a single line.
 This mode causes all vectors, whether matrices or not, to be displayed
 with a single element per line.  Sub-vectors within the vectors will
 still use the normal linear form.
 

Info Catalog calc: Reducing and Mapping calc: Matrix Functions