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  1. Between Arithmetic and Algebra - Cut the Knot!, Alexander Bogomolny
    What is the difference between the arithmetic 3+5 = 5+3 and the algebraic a+b = b+c? One is a specific fact, another is a pattern valid in a multitude of situations. While arithmetic may hint at some regularities, algebra, as a language, gives expression to acknowledgement of patterns as such. How did people express general ideas before the advent of algebra in the 15th-17th centuries? A discussion of patterns and number systems with a Java applet showing Addition and Multiplication Tables in Various Bases. An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem, one not stated directly since the applet is intended to be such that the right answer to an as yet unstated problem should be easy to surmise. Also at http://www.cut-the-knot.org/ctk/between.html. more>>

  2. Patterns - Suzanne Alejandre
    Links to Web sites with patterns. Students look through the pages and answer these questions: How do natural patterns influence us? How do patterns help us to solve problems? Can you put elements of a pattern into an order that can be measured? that can be studied? that can be predicted? more>>


 

Mason error

 
component stack:   /library/branch.html
/library/dhandler
code stack:   /var/lib/mason/obj/library/branch.html:208
/usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Commands.pm:70
/var/lib/mason/obj/library/dhandler:90

debug info:   Debug file is '/var/lib/mason/debug/anon/4'.

raw_error





























raw error:
 






























error while executing /library/branch.html:
Server message number=1105 severity=17 state=4 line=1 text=Can't allocate space for object 'syslogs' in database 'catalog' because 'logsegment' segment is full/has no free extents. If you ran out of space in syslogs, dump the transaction log. Otherwise, use ALTER DATABASE or sp_extendsegment to increase size of the segment.
Statement=INSERT INTO keystorage ( keys ) VALUES ( '77442;63524;73679;77763;61400;74895;64139;74997;62431;59283;63309;12664;17940;77353;68566;74470;13491;77205;76727;7718;65345;75212;6480;7749;65537;76430;76796;76732;12146;77715;8531;7708;41747;5559;8539;3028;7...
HTML::Mason::Interp::__ANON__('Server message number=1105 severity=17 state=4 line=1 text=Can\'...') called at /usr/lib/perl5/site_perl/5.6.0/Forum/Key.pm line 284
Forum::Key::store('Forum::Key=HASH(0x8ea72cc)') called at /var/lib/mason/obj/library/branch.html line 208
HTML::Mason::Commands::__ANON__('passed_args', 'HASH(0x8e6c97c)', 'tree', 'topics', 'branch', 'patterns') called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Component.pm line 131
HTML::Mason::Component::run('HTML::Mason::Component::FileBased=HASH(0x8f1236c)', 'passed_args', 'HASH(0x8e6c97c)', 'tree', 'topics', 'branch', 'patterns') called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Request.pm line 653
require 0 called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Request.pm line 653
HTML::Mason::Request::comp('HTML::Mason::Request::ApacheHandler=HASH(0x8e1a944)', '/library/branch.html', 'passed_args', 'HASH(0x8e6c97c)', 'tree', 'topics', 'branch', 'patterns') called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Commands.pm line 70
HTML::Mason::Commands::mc_comp('/library/branch.html', 'passed_args', 'HASH(0x8e6c97c)', 'tree', 'topics', 'branch', 'patterns') called at /var/lib/mason/obj/library/dhandler line 90
HTML::Mason::Commands::__ANON__('start_at', 1, 'num_to_see', 50, 'keyid', 40682516) called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Component.pm line 131
HTML::Mason::Component::run('HTML::Mason::Component::FileBased=HASH(0x8e6c5f4)', 'start_at', 1, 'num_to_see', 50, 'keyid', 40682516) called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Request.pm line 653
require 0 called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Request.pm line 653
HTML::Mason::Request::comp('HTML::Mason::Request::ApacheHandler=HASH(0x8e1a944)', 'HASH(0x8e6ccac)', 'HTML::Mason::Component::FileBased=HASH(0x8e6c5f4)', 'start_at', 1, 'num_to_see', 50, 'keyid', ...) called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Request.pm line 159
require 0 called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/Request.pm line 159
HTML::Mason::Request::exec('HTML::Mason::Request::ApacheHandler=HASH(0x8e1a944)', '/library/topics/patterns', 'start_at', 1, 'num_to_see', 50, 'keyid', 40682516) called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/ApacheHandler.pm line 914
HTML::Mason::ApacheHandler::handle_request_1('HTML::Mason::ApacheHandler=HASH(0x8de4734)', 'Apache=SCALAR(0x8e18630)', 'HTML::Mason::Request::ApacheHandler=HASH(0x8e1a944)', 'HASH(0x8e1b3fc)') called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/ApacheHandler.pm line 560
require 0 called at /usr/lib/perl5/site_perl/5.6.0/HTML/Mason/ApacheHandler.pm line 560
HTML::Mason::ApacheHandler::handle_request('HTML::Mason::ApacheHandler=HASH(0x8de4734)', 'Apache=SCALAR(0x8e18630)') called at /etc/httpd/conf/handler.pl line 97
HTML::Mason::handler('Apache=SCALAR(0x8e18630)') called at /dev/null line 0
require 0 called at /dev/null line 0