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in the manual you can find  :

Operators Operators join together the other items within the expression. They include for example -o (meaning logical OR) and -a (meaning logical AND). Where an operator is missing, -a is assumed.

So litterally \( -perm -0002 -a ! -perm -1000 \) means : perm = 0002 and not perm = 1000

perm = 0002 means writeable for Others
perm = 1000 means sticky bit is set.

So this expression search for file writable for Other and without sticky bit sets.

Looking for directory is done with -type d d means directory so find look after object of type directory

from the find manual, -perm has several forms  : -perm 0002 will match all files with this exact permission setting -perm -0002 will match all files where this right bit is setup, (which means 0772, 1752... whatever combination if the file is writeble for others)

In the manual you can find:

Operators
              Operators join together the other items within the expression.
              They include for example -o (meaning logical OR) and -a
              (meaning logical AND).  Where an operator is missing, -a is
              assumed.

So literally \( -perm -0002 -a ! -perm -1000 \) means : perm = 0002 and not perm = 1000

perm = 0002 means writeable for Others
perm = 1000 means sticky bit is set.

So this expression search for file writable for Other and without sticky bit sets.

Looking for directory is done with -type d d means directory so find look after object of type directory

From the find manual, -perm has several forms:

• -perm 0002 will match all files with this exact permission setting
• -perm -0002 will match all files where this right bit is setup, (which means 0772, 1752... whatever combination if the file is writeable for others)

in the manual you can find :

Operators Operators join together the other items within the expression. They include for example -o (meaning logical OR) and -a (meaning logical AND). Where an operator is missing, -a is assumed.

So litterally \( -perm -0002 -a ! -perm -1000 \) means : perm = 0002 and not perm = 1000

perm = 0002 means writeable for Others perm = 1000 means sticky bit is set.

So this expression search for file writable for Other and without sticky bit sets.

Looking for directory is done with -type d d means directory so find look after object of type directory

from the find manual, -perm has several forms : -perms 0002 will match all files with this exact permission setting -perms -0002 will match all files where this right bit is setup, (which means 0772,1752...whatever combination if the file is writeble for others)

in the manual you can find :

Operators Operators join together the other items within the expression. They include for example -o (meaning logical OR) and -a (meaning logical AND). Where an operator is missing, -a is assumed.

So litterally \( -perm -0002 -a ! -perm -1000 \) means : perm = 0002 and not perm = 1000

perm = 0002 means writeable for Others 
perm = 1000 means sticky bit is set.

So this expression search for file writable for Other and without sticky bit sets.

Looking for directory is done with -type d d means directory so find look after object of type directory

from the find manual, -perm has several forms : -perm 0002 will match all files with this exact permission setting -perm -0002 will match all files where this right bit is setup, (which means 0772, 1752... whatever combination if the file is writeble for others)

in the manual you can find :

Operators Operators join together the other items within the expression. They include for example -o (meaning logical OR) and -a (meaning logical AND). Where an operator is missing, -a is assumed.

So litterally \( -perm -0002 -a ! -perm -1000 \) means : perm = 0002 and not perm = 1000

perm = 0002 means writeable for Others perm = 1000 means sticky bit is set and only that.

So this expression search for file writable for Other and without sticky bit sets.

Looking for directory is done with -type d d means directory so find look after object of type directory

in the manual you can find :

Operators Operators join together the other items within the expression. They include for example -o (meaning logical OR) and -a (meaning logical AND). Where an operator is missing, -a is assumed.

So litterally \( -perm -0002 -a ! -perm -1000 \) means : perm = 0002 and not perm = 1000

perm = 0002 means writeable for Others perm = 1000 means sticky bit is set.

So this expression search for file writable for Other and without sticky bit sets.

Looking for directory is done with -type d d means directory so find look after object of type directory

from the find manual, -perm has several forms : -perms 0002 will match all files with this exact permission setting -perms -0002 will match all files where this right bit is setup, (which means 0772,1752...whatever combination if the file is writeble for others)