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<math>\Omega^{\prime} \Omega^{\nu \prime} x = \Omega^{\nu + 1 \prime} x \text{ Def.}</math>}}
<math>\Omega^{\prime} \Omega^{\nu \prime} x = \Omega^{\nu + 1 \prime} x \text{ Def.}</math>}}


Nach diesen Zeichenregeln schreiben wir also die Reihe <math>x, \Omega ' x, \Omega ' \Omega ' x, \Omega ' \Omega ' \Omega ' x, .....</math>
Nach diesen Zeichenregeln schreiben wir also die Reihe <math>x, \Omega \prime x, \Omega \prime \Omega \prime x, \Omega \prime \Omega \prime \Omega \prime x, .....</math>


{{p center|so: <math>\Omega^{0 \prime} x, \Omega^{0+1 \prime} x, \Omega^{0 + 1 + 1 \prime} x, \Omega^{0 + 1 + 1 + 1 \prime} x, .....</math>}}
{{p center|so: <math>\Omega^{0 \prime} x, \Omega^{0+1 \prime} x, \Omega^{0 + 1 + 1 \prime} x, \Omega^{0 + 1 + 1 + 1 \prime} x, .....</math>}}


Also schreibe ich statt „<math>[ x, \xi, \Omega ' \xi ]</math>“:
Also schreibe ich statt „<math>[ x, \xi, \Omega \prime \xi ]</math>“:


{{p center|„<math>[ \Omega^{0 \prime} x, \Omega^{\nu \prime} x, \Omega^{\nu + 1 \prime} x ]</math>“.}}
{{p center|„<math>[ \Omega^{0 \prime} x, \Omega^{\nu \prime} x, \Omega^{\nu + 1 \prime} x ]</math>“.}}

Revision as of 11:51, 15 March 2025

6.02 Und so kommen wir zu den Zahlen: Ich definiere

[math]\displaystyle{ x = \Omega^{0 \prime} x \text{ Def.} }[/math] und
[math]\displaystyle{ \Omega^{\prime} \Omega^{\nu \prime} x = \Omega^{\nu + 1 \prime} x \text{ Def.} }[/math]

Nach diesen Zeichenregeln schreiben wir also die Reihe [math]\displaystyle{ x, \Omega \prime x, \Omega \prime \Omega \prime x, \Omega \prime \Omega \prime \Omega \prime x, ..... }[/math]

so: [math]\displaystyle{ \Omega^{0 \prime} x, \Omega^{0+1 \prime} x, \Omega^{0 + 1 + 1 \prime} x, \Omega^{0 + 1 + 1 + 1 \prime} x, ..... }[/math]

Also schreibe ich statt „[math]\displaystyle{ [ x, \xi, \Omega \prime \xi ] }[/math]“:

[math]\displaystyle{ [ \Omega^{0 \prime} x, \Omega^{\nu \prime} x, \Omega^{\nu + 1 \prime} x ] }[/math]“.

Und definiere:

[math]\displaystyle{ 0 + 1 = 1 \text{ Def.} }[/math]

[math]\displaystyle{ 0 + 1 + 1 = 2 \text{ Def.} }[/math]

[math]\displaystyle{ 0 + 1 + 1 + 1 = 3 \text{ Def.} }[/math]

(u. s. f.)