Usage examples of "findings of fact" in English with translation to German

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As a matter of fact, I haven't eaten anything since this morning. Übrigens habe ich seit heute Morgen nichts gegessen.
As a matter of fact, he knows very little of the matter. Eigentlich weiß er sehr wenig über diese Angelegenheit.
You say I should know him quite well, but as a matter of fact, I was introduced to him only last week. Du sagst, dass ich ihn gut kennen sollte, aber in Wirklichkeit bin ich ihm erst letzte Woche vorgestellt worden.
As a matter of fact, I do speak Spanish. Ich spreche tatsächlich Spanisch.
As a matter of fact, he did it by himself. Er hat es tatsächlich selbst gemacht.
As a matter of fact, he did just catch that bird in midair with his teeth. Tatsächlich hat er diesen Vogel gerade im Flug mit dem Mund gefangen.
This story tells us an interesting fact. Diese Geschichte erzählt uns eine interessante Tatsache.
He concealed the fact from me. Er verheimlichte mir die Tatsachen.
She said she was OK. In fact, she was terribly injured. Sie sagte, es ginge ihr gut. In Wirklichkeit war sie schrecklich verletzt.
In fact, I should thank you for this. Eigentlich sollte ich mich dafür bei dir bedanken.
The fact is that my cat is shy. Fakt ist, dass meine Katze scheu ist.
I am aware of the fact. Ich bin mir der Tatsache bewusst.
It accounts for the fact. Das erklärt die Sache.
Tom resented the fact that Mary got the promotion instead of hm. Tom ärgerte sich darüber, dass Maria statt seiner die Beförderung zuteil geworden war.
This fact proves her innocence. Dieser Fakt beweist ihre Unschuld.
Tom can't deny the fact that he did what Mary accused him of doing. Tom kann nicht abstreiten, dass er getan hat, was Mary ihm vorwarf.
There is a good number of problems for which the Karush-Kuhn-Tucker conditions are insufficient to guarantee optimality, but this doesn't change the fact that these conditions are an indispensable tool for doing optimization. Es gibt einige Probleme, für die die Karush-Kuhn-Tucker-Bedingungen nicht ausreichen, um die Optimalität zu garantieren, aber das ändert nichts daran, dass diese Bedingungen ein unverzichtbares Werkzeug bei der Optimierung sind.
He confessed the fact. Er hat die Tat gestanden.
Even at that early age the other children could probably tell there was something wrong, despite the fact that I never suspected anything of the sort; and this was to be the case for a long time to come. Schon in so jungen Jahren haben andere Kinder wohl gemerkt, dass etwas mit mir nicht stimmte, obwohl ich selbst nie etwas Derartiges ahnte; und das blieb noch eine ganze Weile so.
His theory is based on fact. Seine Theorie basiert auf Fakten.
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