
unbeschadet
unharmed
Having come through without damage, injury, or disadvantage; intact.
Wie durch ein Wunder überstand er den Unfall unbeschadet.
As if by a miracle, he survived the accident unharmed.
unharmed / notwithstanding
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unharmed
Having come through without damage, injury, or disadvantage; intact.
Wie durch ein Wunder überstand er den Unfall unbeschadet.
As if by a miracle, he survived the accident unharmed.

notwithstanding
In formal or legal language: without impairing or violating something else; regardless of another regulation or right.
Unbeschadet der bestehenden Verträge können neue Verhandlungen aufgenommen werden.
Notwithstanding the existing contracts, new negotiations can be started.
The word is made up of three parts: the prefix 'un-' (not), the noun 'Schaden' (damage), and an ending. So it literally means 'without damage'.
Das Paket kam unbeschadet bei mir an.
The package arrived at my place unharmed.
In the meaning 'unversehrt' (unharmed/intact), 'unbeschadet' is usually used adverbially. It then comes after the verb and describes how someone got through a situation.
Die Bergsteiger haben das Gewitter unbeschadet überstanden.
The mountaineers survived the thunderstorm unharmed.
In this meaning, the word is used almost only in legal and administrative language. It often appears at the beginning of a sentence and is combined with the genitive: 'Unbeschadet + Genitiv' (notwithstanding + genitive).
Unbeschadet der allgemeinen Geschäftsbedingungen gilt für diesen Fall eine Sonderregelung.
Notwithstanding the general terms and conditions, a special regulation applies to this case.
despite
Trotz and unbeschadet can both express taking a rule or another circumstance into account. Trotz mainly names a counterreason, while unbeschadet emphasizes that something else is not impaired or violated as a result. Use trotz for a simple contrast and unbeschadet in formal statements about validity or effect.

Diese Möglichkeit bleibt unbeschadet der neuen Regel für alle offen.
This option remains open to everyone, notwithstanding the new rule.
Trotz der neuen Regel bleibt diese Möglichkeit für alle offen.
Despite the new rule, this option remains open to everyone.