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20. Mai 2024 · L'Hôpital's rule (/ ˌ l oʊ p iː ˈ t ɑː l /, loh-pee-TAHL) or L'Hospital's rule, also known as Bernoulli's rule, is a mathematical theorem that allows evaluating limits of indeterminate forms using derivatives. Application (or repeated application) of the rule often converts an indeterminate form to an expression that can be ...
Vor 2 Tagen · Game theory was developed extensively in the 1950s, and was explicitly applied to evolution in the 1970s, although similar developments go back at least as far as the 1930s. Game theory has been widely recognized as an important tool in many fields.
10. Mai 2024 · Der (Gauß-d’Alembertsche) Fundamentalsatz der Algebra besagt, dass jedes nicht konstante Polynom im Bereich der komplexen Zahlen mindestens eine Nullstelle besitzt. Dabei können die Koeffizienten des Polynoms beliebige komplexe Zahlen sein – insbesondere sind Polynome mit ganzen oder reellen Koeffizienten mit eingeschlossen.
12. Mai 2024 · Der Satz des Pythagoras (auch Hypotenusensatz) [1] ist einer der fundamentalen Sätze der euklidischen Geometrie. Er besagt, dass in allen ebenen rechtwinkligen Dreiecken die Summe der Flächeninhalte der Kathetenquadrate gleich dem Flächeninhalt des Hypotenusenquadrates ist.
21. Mai 2024 · In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field through a closed surface to the divergence of the field in the volume enclosed.
19. Mai 2024 · Theorem 1: Let V be an n-dimensional vector space, and let { v 1, v 2, … , v n} be any bssis. If a set in V has more than n vectors, then it is linearly dependent. If a set in V has fewer than n vectors, then it does not span V.
17. Mai 2024 · 6. References. Idea 0.1. The concept of isomorphism generalizes the concept of bijection from the category Set of sets to general categories. An isomorphism is an invertible morphism, hence a morphism with an inverse morphism. Two objects of a category are said to be isomorphic if there exists an isomorphism between them.
