calc: Incomplete Objects

 
 5.13 Incomplete Objects
 =======================
 
 When ‘(’ or ‘[’ is typed to begin entering a complex number or vector,
 respectively, the effect is to push an “incomplete” complex number or
 vector onto the stack.  The ‘,’ key adds the value(s) at the top of the
 stack onto the current incomplete object.  The ‘)’ and ‘]’ keys “close”
 the incomplete object after adding any values on the top of the stack in
 front of the incomplete object.
 
    As a result, the sequence of keystrokes ‘[ 2 , 3 <RET> 2 * , 9 ]’
 pushes the vector ‘[2, 6, 9]’ onto the stack.  Likewise, ‘( 1 , 2 Q )’
 pushes the complex number ‘(1, 1.414)’ (approximately).
 
    If several values lie on the stack in front of the incomplete object,
 all are collected and appended to the object.  Thus the ‘,’ key is
 redundant: ‘[ 2 <RET> 3 <RET> 2 * 9 ]’.  Some people prefer the
 equivalent <SPC> key to <RET>.
 
    As a special case, typing ‘,’ immediately after ‘(’, ‘[’, or ‘,’ adds
 a zero or duplicates the preceding value in the list being formed.
 Typing <DEL> during incomplete entry removes the last item from the
 list.
 
    The ‘;’ key is used in the same way as ‘,’ to create polar complex
 numbers: ‘( 1 ; 2 )’.  When entering a vector, ‘;’ is useful for
 creating a matrix.  In particular, ‘[ [ 1 , 2 ; 3 , 4 ; 5 , 6 ] ]’ is
 equivalent to ‘[ [ 1 , 2 ] , [ 3 , 4 ] , [ 5 , 6 ] ]’.
 
    Incomplete entry is also used to enter intervals.  For example, ‘[ 2
 .. 4 )’ enters a semi-open interval.  Note that when you type the first
 period, it will be interpreted as a decimal point, but when you type a
 second period immediately afterward, it is re-interpreted as part of the
 interval symbol.  Typing ‘..’ corresponds to executing the ‘calc-dots’
 command.
 
    If you find incomplete entry distracting, you may wish to enter
 vectors and complex numbers as algebraic formulas by pressing the
 apostrophe key.