Let $A$ be the set of all those points of plane $\mathbb{R} ^2$ in which both coordinates are rational or both are irrational. Is $A$ path connected?
Is the set of points in the plane whose coordinates are either both irrational, or both rational connected?
How to turn off magic quotes on shared hosting? I want to turn off PHP's magic quotes.  I don't have access to php.ini.  When I tried to add php_flag magic_quotes_gpc off to my .htaccess file, I get a 500 internal server error. This is what my .htaccess file looks like:  AddType x-mapp-php5 .php php_flag magic_quotes_gpc off   Then I tried to use ini_set('magic_quotes_gpc', 'O'), but that had no effect.  How do I turn magic quotes off? When can you switch the order of limits? Does "staff" take a plural verb? Which one of these two statements is correct?     Our staff do ...      Our staff does ...   And is staffs ever correct? US citizens travelling to Cuba are restricted to a set of "reasons" for travel, of which tourism is not one. I have US-Philippines dual citizenship, and both passports. Would I just buy the ticket using my Filipino passport? What kind of documentation/proof would I need to return back to the US? 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