Usage examples of "fundamental theorem" in English with translation to German

<>
There is a fundamental difference between your opinion and mine. Es gibt einen grundsätzlichen Unterschied zwischen Ihrer Meinung und meiner.
Note that this theorem does not assume the existence of such an object. Beachte, dass das Theorem nicht die Existenz eines solchen Objekts voraussetzt.
The family is the natural and fundamental group unit of society and is entitled to protection by society and the State. Die Familie ist die natürliche Grundeinheit der Gesellschaft und hat Anspruch auf Schutz durch Gesellschaft und Staat.
Obviously, the theorem is true for finite sets. Offensichtlich ist das Theorem für endliche Mengen wahr.
Everyone has the right to education. Education shall be free, at least in the elementary and fundamental stages. Elementary education shall be compulsory. Technical and professional education shall be made generally available and higher education shall be equally accessible to all on the basis of merit. Jeder hat das Recht auf Bildung. Die Bildung ist unentgeltlich, zum mindesten der Grundschulunterricht und die grundlegende Bildung. Der Grundschulunterricht ist obligatorisch. Fach- und Berufsschulunterricht müssen allgemein verfügbar gemacht werden, und der Hochschulunterricht muss allen gleichermaßen entsprechend ihren Fähigkeiten offen stehen.
Now, we show how this lemma can be used to prove our main theorem. Wir zeigen nun, wie dieses Lemma angewendet werden kann, um unser Haupttheorem zu beweisen.
The participation of Muslims in politics is of fundamental importance to society. Die Beteiligung der Muslime in der Politik ist von grundlegender Bedeutung für die Gesellschaft.
Pythagoras' theorem says that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Der Satz des Pythagoras sagt, dass das Quadrat der Hypotenuse gleich der Summe der Quadrate der anderen beiden Seiten ist.
In my opinion, happiness has a few fundamental requirements. Meiner Meinung nach gibt es einige fundamentale Voraussetzungen für das Glück.
The fundamental principles of classical mechanics were laid down by Galileo and Newton in the 16th and 17th centuries. Die fundamentalen Prinzipien der Mechanik wurden von Galileo und Newton im 16. und 17. Jahrhundert aufgestellt.
That the king can do no wrong, is a necessary and fundamental principle of the English constitution. Dass der König immer im Recht ist, ist ein notwendiges und grundlegendes Prinzip der englischen Verfassung.
Examples of word usage in different contexts are provided solely for linguistic purposes, i.e. to study word usage in a sentence in one language and how they can be translated into another. All samples are automatically collected from a variety of publicly available open sources using bilingual search technologies.
If you find a spelling, punctuation or any other error in the original or translation, use the "Report a problem" option or write to us.

What is translation in context on PROMT.One

The “Contexts” section on PROMT.One is your translation-in-context tool that helps you find real examples of how words and phrases are used. Just enter a word and the service will show its translation in context — sentences from bilingual sources where this word is used together with its translation into the target language. This helps you understand subtle shades of meaning and correct usage in speech, whether it is a rare term or a common everyday phrase.

Millions of usage examples from real texts

Millions of translation examples are collected automatically from already translated texts: documents, websites, books, movie dialogues and more. Thanks to this, you can see a word in different situations — from formal business style to everyday colloquial speech. For convenience, the results can be filtered by a specific translation or topic, and you can also search within the examples found to quickly focus on the context you need.

How translation in context helps you learn a language

By using the “Contexts” section, you can effectively expand your vocabulary. The service clearly shows how idioms, phrasal verbs and polysemantic words are translated in different contexts. This makes language learning easier: you remember new words together with their real usage and immediately see correct translations in authentic, living language. Take advantage of context-based translation on PROMT.One — learning a language becomes easier and more engaging!

PROMT Professional NMT

PROMT Professional NMT

Try offline translator for your PC and laptop

Download

PROMT Master NMT

PROMT Master NMT

Accurate document translation

Download