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Revision 5372 Revision 5373
1loadMacros("MathObjects.pl");
1 2
2=pod 3sub _contextInequalities_init {Inequalities::Init()}
3 4
5=head1 Context("Inequalities"), Context("Inequalities-Only")
6
4######################################################################### 7 #########################################################################
5# 8 #
6# Implements contexts that provides for inequalities that produce 9 # Implements contexts that provides for inequalities that produce
7# the cooresponding Interval, Set or Union MathObjects. There are 10 # the cooresponding Interval, Set or Union MathObjects. There are
8# two such contexts: Context("Inequalities"), in which both 11 # two such contexts: Context("Inequalities"), in which both
9# intervals and inequalities are defined, and Context("Inequalities-Only"), 12 # intervals and inequalities are defined, and Context("Inequalities-Only"),
10# which allows only inequalities as a means of producing intervals. 13 # which allows only inequalities as a means of producing intervals.
11# 14 #
12# Usage: loadMacros("contextInequalities.pl"); 15 # Usage: loadMacros("contextInequalities.pl");
13# 16 #
14# Context("Inequalities"); 17 # Context("Inequalities");
15# $S1 = Formula("1 < x <= 4"); 18 # $S1 = Formula("1 < x <= 4");
16# $S2 = Formula("(1,4]"); # either form is OK 19 # $S2 = Formula("(1,4]"); # either form is OK
17# 20 #
18# Context("Inequalities-Only"); 21 # Context("Inequalities-Only");
19# $S1 = Formula("1 < x <= 4"); 22 # $S1 = Formula("1 < x <= 4");
20# $S2 = Formula("(1,4]"); # generates an error 23 # $S2 = Formula("(1,4]"); # generates an error
21# 24 #
22# $S3 = Formula("x < -2 or x > 2"); # forms a Union 25 # $S3 = Formula("x < -2 or x > 2"); # forms a Union
23# $S4 = Formula("x = 1"); # forms a Set 26 # $S4 = Formula("x = 1"); # forms a Set
24# 27 #
25# You can set the "stringifyAsInequalities" flag to 1 to force 28 # You can set the "stringifyAsInequalities" flag to 1 to force
26# output from the intervals, sets, and unions created in this 29 # output from the intervals, sets, and unions created in this
27# context to be output as inequalities rather than their 30 # context to be output as inequalities rather than their
28# usual Inerval, Set or Union forms. 31 # usual Inerval, Set or Union forms.
29# 32 #
30# Context("Inequalities")->flags->set(stringifyAsInequalities=>1); 33 # Context("Inequalities")->flags->set(stringifyAsInequalities=>1);
31# 34 #
32# You can also set the "noneWord" flag to specify the string to 35 # You can also set the "noneWord" flag to specify the string to
33# use when the inequalities specify the empty set. By default, 36 # use when the inequalities specify the empty set. By default,
34# it is "NONE", but you can change it to other strings. Be sure 37 # it is "NONE", but you can change it to other strings. Be sure
35# that you use a string that is defined in the Context, however, 38 # that you use a string that is defined in the Context, however,
36# if you expect the student to be able to enter it. For example 39 # if you expect the student to be able to enter it. For example
37# 40 #
38# Context("Inequalities"); 41 # Context("Inequalities");
39# Context()->constants->add(EmptySet => Set()); 42 # Context()->constants->add(EmptySet => Set());
40# Context()->flags->set(noneWord=>"EmptySet"); 43 # Context()->flags->set(noneWord=>"EmptySet");
41# 44 #
42# creates an empty set as a named constant and uses that name. 45 # creates an empty set as a named constant and uses that name.
43# 46 #
44 47
45=cut 48=cut
46
47loadMacros("MathObjects.pl");
48
49sub _contextInequalities_init {Inequalities::Init()}
50
51##################################################
52 49
53package Inequalities; 50package Inequalities;
54 51
55# 52#
56# Sets up the two inequality contexts 53# Sets up the two inequality contexts

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