What the...... does all this mean?

[#1]

Internal Server Error
Error: The table 'depends' is full
    in /var/www/html/martini-tng/lib/mysql.php at line 728
#0 /var/www/html/martini-tng/lib/mysql.php(294): DatabaseManager->realQuery('INSERT INTO `de...', Array, 'cache')
#1 /var/www/html/martini-tng/lib/mysql.php(953): DatabaseManager->query('INSERT INTO `de...', Array, 'cache')
#2 /var/www/html/martini-tng/lib/mysql.php(2475): Database->query('INSERT INTO `de...', Array)
#3 /var/www/html/martini-tng/src/core/CacheItem.php(136): Record->commit()
#4 /var/www/html/martini-tng/src/web.php(634): CacheItem->commit()
#5 /var/www/html/martini-tng/src/web.php(46): RequestHandler->handleRequestInternal(Object(HttpRequest))
#6 /var/www/html/martini-tng/lib/http.php(81): RequestHandler->handleRequest(Object(HttpRequest))
#7 /var/www/html/martini-tng/htdocs/index.php(79): HttpApplication->run()
#8 {main}

I keep getting that on some sites that belong to newspapers today. It surely can't apply to my computer as I hae only very recently emptied its cache. Can I do anything to clear?

[#2]

can you give some links so I can check

[#3]

Just checked the Times and Mail and both OK for me.

[#4]

http://www.salisburyjournal.co.uk/news/ is one, but it happened when I chose particular items such as the new bish of Sherborne.
That seems OK now.

[#5]

Same hosting as this http://www.bournemouthecho.co.uk/news/ and it frequently has problems