Problem: (1) An electronic signature is intended to provide a seamless identification method for the signatory to provide a secure and accurate transaction .
(2) An electronic signature is intended to provide the signatory with a seamless identification method to guarantee a secure and accurate transaction .

Do (1) and (2) mean the same thing?
A: yes

Problem: (1) Without being a great attacker , Garzelli was very constant and , on a good day , he could go with the best climbers .
(2) Without a big attacker , Garzelli was very constant and could go on a good day with the best climbers .

Do (1) and (2) mean the same thing?
A: yes

Problem: (1) In versions of the Renaissance , Ogier travels to the Avalon governed by Morgan le Fay and eventually becomes King Arthur 's parade .
(2) In versions of the Renaissance , Ogier travels into the Avalon ruled by King Arthur and eventually becomes Morgan le Fay 's Paramour .

Do (1) and (2) mean the same thing?
A: no

Problem: (1) Gottsche received international acclaim with his formula for the generating function for the Hilbert numbers of the Betti scheme of points on an algebraic surface :
(2) With his formula for the creating function for the Hilbert - numbers of the betti scheme of points on an algebraic surface , Gottsche received international recognition :

Do (1) and (2) mean the same thing?
A:
yes