***** NOT A TEACHER *****
Aachu,
May I just add a comment to SlickVic's excellent answer.
(1) You have probably already noticed that "notwithstanding" is a very "strange"
word: it can go in different positions.
(a) It is still warm, notwithstanding the drop in temperature.
(b) It is still warm, the drop in temperature notwithstanding.
Source: Longman English Grammar (1988), page 331.
[Only my note: I think (think!) that you could also say:
Notwithstanding the drop in temperature, it is still warm.
The drop in temperature not withstanding, it is still warm.]
(c) It was the same material, notwithstanding the texture seemed different.
Source: Random House Webster's Unabridged Dictionary (2nd edition).
(d) He went to the game anyway, doctor's order notwithstanding.
Notwithstanding the long delay, I shall still go.
Notwithstanding a brilliant defense, he was found guilty.
Source: The Random House Dictionary of the English Language (Unabridged), 1967.
(e) He persisted, threats notwithstanding.
I shall go, notwithstanding you forbid me.
Source: Webster's New International Dictionary (2nd edition).
(f) He rushed across the bridge, the enemy's fire notwithstanding.
John Doe, notwithstanding he had a bad temper, was really a great man. [I have changed this sentence a bit.]
Notwithstanding the force of the enemy is superior, we shall conquer.
Source: Funk & Wagnalls New Standard Dictionary of the English Language (1952).