Terms for subject Mathematics containing as necessary

English	Russian
as may be necessary	по мере необходимости
be designed as necessary	предусматриваться в случае необходимости
it is necessary to arrange our proofs in such a manner as to avoid such passages to the limit	необходимо построить доказательства таким образом ...
it is necessary to arrange our proofs in such a manner as to avoid such passages to the limit	необходимо построить доказательства