Authors: Stefan G. Freundt
We are surrounded by round objects. Planets, suns, stones, tree trunks and many more objects are round. Likewise, s-orbitals of electrons in atoms are spherically symmetric and thereby round. If we ascertain the surface areas, volumes, or circumferences of these objects, then we inevitably encounter the number pi. Evidently the number pi plays an important role in our environment. Accordingly, pi is included in the formulae used to describe our world. For the calculation of pi, there are an abundance of methods that can be used. In contrast, in this article we are going to pursue the goal of giving objects the simplest possible properties, and enabling these objects to calculate pi en passant. We introduce a system of equations, in which objects only interact with each other through algebraic operations (+-*/ and sqrt) and generate the number pi in a boundary case. Wir sind von runden Objekten umgeben. Planeten, Sonnen, Steine, Baumstämme und vieles mehr sind rund. S-Orbitale von Elektronen in Atomen sind ebenfalls kugelsymmetrisch und damit rund. Bestimmt man von diesen Objekten Ober fläche und Volumen oder Umfang und Flächeninhalt, begegnet man unweigerlich der Zahl pi. Offenbar nimmt die Zahl pi eine wichtige Rolle in unserer Umgebung ein. In die Formeln zur Beschreibung unserer Welt wird pi entsprechend hineingesteckt. Zur Berechnung von pi gibt es eine Menge Verfahren, die alle für einen Menschen gemacht sind, um pi zu berechnen. Im Gegensatz dazu verfolgen wir in diesem Artikel das Ziel, Objekte mit möglichst einfachen Eigenschaften auszustatten und diese Objekte in die Lage zu versetzen pi "en passant" zu berechnen. Wir stellen ein Gleichungssystem vor, in dem Objekte nur durch algebraische Operationen (+-*/ und sqrt) mit einander wechselwirken und in einem Grenzfall die Zahl pi erzeugen.
Comments: 10 Pages. German
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[v1] 2014-07-11 06:50:56
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