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diff --git a/doc/transformation.texi b/doc/transformation.texi
index 7ad217b3..e722b9c4 100644
--- a/doc/transformation.texi
+++ b/doc/transformation.texi
@@ -103,6 +103,9 @@ format is F5.3.
 @item FIRST(var_name)
 First non-missing value in break group.  The aggregation variable
 receives the complete dictionary information from the source variable.
+The sort performed by AGGREGATE (and by SORT CASES) is stable, so that
+the first case with particular values for the break variables before
+sorting will also be the first case in that break group after sorting.
 
 @item FOUT(var_name, low, high)
 Fraction of values strictly outside the specified range of constants.
@@ -111,6 +114,9 @@ The default format is F5.3.
 @item LAST(var_name)
 Last non-missing value in break group.  The aggregation variable
 receives the complete dictionary information from the source variable.
+The sort performed by AGGREGATE (and by SORT CASES) is stable, so that
+the last case with particular values for the break variables before
+sorting will also be the last case in that break group after sorting.
 
 @item MAX(var_name)
 Maximum value.  The aggregation variable receives the complete
@@ -374,13 +380,14 @@ causes cases to be swapped with variables, and vice versa.
 All variables in the transposed active file are numeric.  String
 variables take on the system-missing value in the transposed file.
 
-No subcommands are required.  The VARIABLES subcommand specifies
-variables that will be transformed into cases.  Variables not specified
-are discarded.  By default, all variables are selected for
-transposition.
+No subcommands are required.  If specified, the VARIABLES subcommand
+selects variables to be transformed into cases, and variables not
+specified are discarded.  If the VARIABLES subcommand is omitted, all
+variables are selected for transposition.
 
 The variables specified by NEWNAMES, which must be a string variable, is
-used to give names to the variables created by @cmd{FLIP}.  If
+used to give names to the variables created by @cmd{FLIP}.  Only the
+first 8 characters of the variable are used.  If
 NEWNAMES is not
 specified then the default is a variable named CASE_LBL, if it exists.
 If it does not then the variables created by FLIP are named VAR000
@@ -394,13 +401,15 @@ extensions are added, starting with 1, until a unique name is found or
 there are no remaining possibilities.  If the latter occurs then the
 FLIP operation aborts.
 
-The resultant dictionary contains a CASE_LBL variable, which stores the
-names of the variables in the dictionary before the transposition.  If
-the active file is subsequently transposed using @cmd{FLIP}, this
-variable can
-be used to recreate the original variable names.
+The resultant dictionary contains a CASE_LBL variable, a string
+variable of width 8, which stores the names of the variables in the
+dictionary before the transposition.  Variables names longer than 8
+characters are truncated.  If the active file is subsequently
+transposed using @cmd{FLIP}, this variable can be used to recreate the
+original variable names.
 
-FLIP honors N OF CASES.  It ignores TEMPORARY, so that ``temporary''
+FLIP honors @cmd{N OF CASES} (@pxref{N OF CASES}).  It ignores
+@cmd{TEMPORARY} (@pxref{TEMPORARY}), so that ``temporary''
 transformations become permanent.
 
 @node IF, RECODE, FLIP, Data Manipulation
@@ -526,11 +535,17 @@ are sorted in ascending order.  To override sort order, specify (D) or
 for ascending order.  These apply to the entire list of variables
 preceding them.
 
+The sort algorithms used by @cmd{SORT CASES} are stable.  That is,
+records that have equal values of the sort variables will have the
+same relative order before and after sorting.  As a special case,
+re-sorting an already sorted file will not affect the ordering of
+cases.
+
 @cmd{SORT CASES} is a procedure.  It causes the data to be read.
 
 @cmd{SORT CASES} attempts to sort the entire active file in main memory.
-If main memory is exhausted, it falls back to a merge sort algorithm that
-involves writing and reading numerous temporary files.
+If workspace is exhausted, it falls back to a merge sort algorithm that
+involves creates numerous temporary files.
 
 @cmd{SORT CASES} may not be specified following TEMPORARY.  
 @setfilename ignored