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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 · t. e. Game theory is the study of mathematical models of strategic interactions among rational agents. [1] It has applications in many fields of social science, used extensively in economics as well as in logic, systems science and computer science. [2] Initially game theory addressed two-person zero-sum games, in which a participant's gains or ...
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.
17. Mai 2024 · 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. This means that they “are the same ...
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.
Vor 3 Tagen · Hall's marriage theorem is a result in combinatorics that specifies when distinct elements can be chosen from a collection of overlapping finite sets. It is equivalent to several beautiful theorems in combinatorics, including Dilworth's theorem.
