„Sie hatten einen unsichtbaren Arbeitskollegen bei Ihren Partien und heißt Algorithmus A*“ (Otra opción: Ein unsichtbarer Kollege bei Ihren Partien:

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„Sie hatten einen unsichtbaren Arbeitskollegen bei Ihren Partien und heißt Algorithmus A

In der Welt der Computerspiele gibt es immer wieder Überraschungen, die uns zeigen, dass wir nicht allein sind. Ein unsichtbarer Kollege unterstützt uns bei unseren Partien, ohne dass wir es bemerken. Sein Name ist Algorithmus A, ein cleveres Werkzeug, das sich in den Hintergrund zurückzieht, um unsere Chancen auf Erfolg zu erhöhen. Doch was genau ist dieser Algorithmus A, und wie funktioniert er? In diesem Artikel werden wir tiefer in die Welt der künstlichen Intelligenz eintauchen und die Funktionen und Vorteile dieses bemerkenswerten Werkzeugs unter die Lupe nehmen.

Hier sind vier kurze Überschriften für die Nachricht „Sie hatten einen unsichtbaren Arbeitskollegen bei Ihren Partien und heißt Algorithmus A“:

Sie denken, dass Mathematik und Videospiele nichts miteinander zu tun haben? Irrtum! Die meisten Spiele, die wir lieben, haben eine enge Beziehung zu Mathematik.

Der unsichtbare Kollege im Spiel: Einleitung in den Algorithmus A<em 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"><noscript><img 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Der unsichtbare Kollege im Spiel: Einleitung in den Algorithmus A

Ein Algorithmus ist eine Serie von Schritten, die uns erlauben, ein Problem zu lösen. Im Kontext von Videospielen sind Algorithmen die Rezepte, die Systemen an die Hand gegeben werden, um bestimmte Aktionen auszuführen. Und ja, die meisten Dinge, die in einem Videospiel passieren, sind mathematische Probleme, die in Echtzeit von den Maschinen gelöst werden.

A im Fokus: Wie ein Algorithmus unser Spielerlebnis beeinflusst

Ein spezieller Algorithmus, der in vielen Spielen verwendet wird, ist der A-Algorithmus. Er dient dazu, den kürzesten Weg zwischen zwei Punkten zu berechnen. Dieser Algorithmus ist in vielen Genres anzutreffen, von Strategie-Spielen wie Age of Empires II bis hin zu MOBA-Spielen und sogar Los Sims.

Die Macht des A: Wie ein Algorithmus die Reise unseres Spielfigurs beeinflusst

Der A-Algorithmus ist eine Evolutionsstufe des Dijkstra-Algorithmus, der von dem Mathematiker Edsger W. Dijkstra 1956 entwickelt wurde. Der A-Algorithmus gibt dem Programm zusätzliche Informationen mit jedem Schritt und berechnet den kürzesten Weg zwischen zwei Punkten. Dieser Algorithmus ist wesentlich effizienter als der Dijkstra-Algorithmus und ermöglicht es, den Weg in viel weniger Schritten zu berechnen.

Der Algorithmus A im VideoSpiel: Eine Einführung in die Welt der Pathfinding-Algorithmen

Es gibt viele Anwendungen des A-Algorithmus in Videospielen. Einige Forscher haben sogar Artikel über die Verwendung von A in Videospielen veröffentlicht. Es wurde festgestellt, dass A besser in Shootern wie Counter-Strike funktioniert, wo nur wenige Einheiten sich gleichzeitig bewegen. In Strategie-Spielen wie Age of Empires II hingegen gibt es mehr Probleme bei der Implementierung von A.

Es gibt auch neuere Arbeiten, die sich mit der Anwendung von A* auf NPCs und nicht nur auf von Spielern kontrollierten Figuren befassen. Es wird betont, dass die Geschwindigkeit und der Realismus wichtiger sind als die Optimierung des Weges.

Und das ist erst der Anfang. Es gibt viele weitere Algorithmen, die entwickelt werden, um die Aufgaben in Videospielen zu vereinfachen. Doch jetzt wissen Sie, dass jede Einheit in Age of Empires II, bevor sie sich bewegt, hunderte von Berechnungen durchführt.

Markus Krüger

Als erfahrener Redakteur und Chefredakteur von New Mind Gaming habe ich, Markus, mein Leben der Berichterstattung über Technologie und Videospiele gewidmet. Mit einer langjährigen Erfahrung in der Branche verfolge ich stets das Ziel, die neuesten Nachrichten mit höchster Objektivität und Genauigkeit zu präsentieren. New Mind Gaming ist eine unabhängige Zeitung, die es sich zur Aufgabe gemacht hat, Lesern die Welt der Technologie und Videospiele auf eine informative und professionelle Weise näherzubringen. Mit Leidenschaft und Engagement arbeite ich täglich daran, unseren Lesern die bestmögliche Berichterstattung zu bieten.

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