From: jj v. a. <we...@ma...> - 2005-08-12 18:54:08
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Log Message: ----------- Update interval notation information for students based on recent improvements in the Parser. Modified Files: -------------- webwork-modperl/htdocs/helpFiles: IntervalNotation.html Revision Data ------------- Index: IntervalNotation.html =================================================================== RCS file: /webwork/cvs/system/webwork-modperl/htdocs/helpFiles/IntervalNotation.html,v retrieving revision 1.2 retrieving revision 1.3 diff -Lhtdocs/helpFiles/IntervalNotation.html -Lhtdocs/helpFiles/IntervalNotation.html -u -r1.2 -r1.3 --- htdocs/helpFiles/IntervalNotation.html +++ htdocs/helpFiles/IntervalNotation.html @@ -11,15 +11,18 @@ <ul> -<li> If an endpoint is included, then use <tt>[</tt> or <tt>]</tt>. If not, then use <tt>(</tt> or <tt>)</tt>. For example, the interval from --3 to 7 that includes 7 but not -3 is expressed <tt>(-3,7]</tt>. +<li> If an endpoint is included, then use <tt>[</tt> or <tt>]</tt>. +If not, then use <tt>(</tt> or <tt>)</tt>. For example, the interval +from -3 to 7 that includes 7 but not -3 is expressed <tt>(-3,7]</tt>. <br> <br> -<li> For infinite intervals, use <tt>Inf</tt> for <font size="+2">∞</font> (infinity) and/or -<tt>-Inf</tt> for <font size="+2">-∞</font> (-Infinity). For example, the infinite interval containing all points greater than -or equal to 6 is expressed <tt>[6,Inf)</tt>. +<li> For infinite intervals, use <tt>Inf</tt> +for <font size="+2">∞</font> (infinity) and/or +<tt>-Inf</tt> for <font size="+2">-∞</font> (-Infinity). For +example, the infinite interval containing all points greater than or +equal to 6 is expressed <tt>[6,Inf)</tt>. <br> <br> @@ -30,6 +33,21 @@ <br> <br> +<li> You can use <code>R</code> as a shorthand for all real numbers. + So, it is equivalent to entering <code>(-Inf, Inf)</code>. + +<br> +<br> + +<li> You can use set difference notation. So, for all real numbers + except 3, you can use <code>R-{3}</code> or + <code>(-Inf, 3)U(3,Inf)</code> (they are the same). Similarly, + <code>[1,10)-{3,4}</code> is the same as <code>[1,3)U(3,4)U(4,10)</code>. + +<br> +<br> + + <li> WeBWorK will not interpret <tt>[2,4]U[3,5]</tt> as equivalent to <tt>[2,5]</tt>. All sets should be expressed in their simplest interval notation form, with no overlapping intervals. |