Lösung 3.1:2f - Versionsgeschichte

Markus.bez: Sprache und Formulierung

Markus.bez — Wed, 10 Jun 2009 09:37:20 GMT

Sprache und Formulierung

← Nächstältere Version		Version vom 09:37, 10. Jun. 2009
Zeile 1:		Zeile 1:
-	Die Kubikwurzel einer Zahl, ist ~~dasselbe wie die~~ Zahl hoch 1/3, also <math>\sqrt[3]{a} = a^{1/3}\,\textrm{.}</math> Die Primfaktoren von 8 sind	+	Die Kubikwurzel einer Zahl ist diese Zahl hoch 1/3, also <math>\sqrt[3]{a} = a^{1/3}\,\textrm{.}</math> Die Primfaktoren von 8 sind

-	{{Abgesetzte Formel\|\|<math>8 = 2\cdot 4 = 2\cdot 2\cdot 2 = 2^{3}</math>}}	+	{{Abgesetzte Formel\|\|<math>8 = 2\cdot 4 = 2\cdot 2\cdot 2 = 2^{3}\,.</math>}}

-	~~und wir~~ sehen direkt dass	+	Wir sehen also direkt, dass

	{{Abgesetzte Formel\|\|<math>\sqrt[3]{8} = \sqrt[3]{2^{3}} = \bigl(2^{3}\bigr)^{1/3} = 2^{3\cdot\frac{1}{3}} = 2^{1} = 2\,\textrm{.}</math>}}		{{Abgesetzte Formel\|\|<math>\sqrt[3]{8} = \sqrt[3]{2^{3}} = \bigl(2^{3}\bigr)^{1/3} = 2^{3\cdot\frac{1}{3}} = 2^{1} = 2\,\textrm{.}</math>}}

Martin — Mon, 23 Mar 2009 20:18:57 GMT

← Nächstältere Version		Version vom 20:18, 23. Mär. 2009
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-	~~The cube root of a number is the same thing as the number raised to the power~~	+	Die Kubikwurzel einer Zahl, ist dasselbe wie die Zahl hoch 1/3, also <math>\sqrt[3]{a} = a^{1/3}\,\textrm{.}</math> Die Primfaktoren von 8 sind
-	1/3, ~~i.e.~~ <math>\sqrt[3]{a} = a^{1/3}\,\textrm{.}</math> ~~If we therefore write the number~~ 8 ~~as a product of its smallest possible integer factors~~	+

	{{Abgesetzte Formel\|\|<math>8 = 2\cdot 4 = 2\cdot 2\cdot 2 = 2^{3}</math>}}		{{Abgesetzte Formel\|\|<math>8 = 2\cdot 4 = 2\cdot 2\cdot 2 = 2^{3}</math>}}

-	~~we see that~~	+	und wir sehen direkt dass

	{{Abgesetzte Formel\|\|<math>\sqrt[3]{8} = \sqrt[3]{2^{3}} = \bigl(2^{3}\bigr)^{1/3} = 2^{3\cdot\frac{1}{3}} = 2^{1} = 2\,\textrm{.}</math>}}		{{Abgesetzte Formel\|\|<math>\sqrt[3]{8} = \sqrt[3]{2^{3}} = \bigl(2^{3}\bigr)^{1/3} = 2^{3\cdot\frac{1}{3}} = 2^{1} = 2\,\textrm{.}</math>}}
-
-
-	Note: Taking the cube root can thus be seen as cancelling the operation of raising a number to the power 3, i.e. <math>\sqrt[3]{5^{3}} = 5\,</math>, <math>\ \sqrt[3]{6^{3}} = 6\,</math> etc.

Tekbot — Wed, 22 Oct 2008 14:19:25 GMT

hat „Solution 3.1:2f“ nach „Lösung 3.1:2f“ verschoben: Robot: moved page

← Nächstältere Version

Version vom 14:19, 22. Okt. 2008

Tekbot — Wed, 22 Oct 2008 08:36:28 GMT

Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel)

← Nächstältere Version		Version vom 08:36, 22. Okt. 2008
Zeile 2:		Zeile 2:
	1/3, i.e. <math>\sqrt[3]{a} = a^{1/3}\,\textrm{.}</math> If we therefore write the number 8 as a product of its smallest possible integer factors		1/3, i.e. <math>\sqrt[3]{a} = a^{1/3}\,\textrm{.}</math> If we therefore write the number 8 as a product of its smallest possible integer factors

-	{{~~Displayed math~~\|\|<math>8 = 2\cdot 4 = 2\cdot 2\cdot 2 = 2^{3}</math>}}	+	{{Abgesetzte Formel\|\|<math>8 = 2\cdot 4 = 2\cdot 2\cdot 2 = 2^{3}</math>}}

	we see that		we see that

-	{{~~Displayed math~~\|\|<math>\sqrt[3]{8} = \sqrt[3]{2^{3}} = \bigl(2^{3}\bigr)^{1/3} = 2^{3\cdot\frac{1}{3}} = 2^{1} = 2\,\textrm{.}</math>}}	+	{{Abgesetzte Formel\|\|<math>\sqrt[3]{8} = \sqrt[3]{2^{3}} = \bigl(2^{3}\bigr)^{1/3} = 2^{3\cdot\frac{1}{3}} = 2^{1} = 2\,\textrm{.}</math>}}


	Note: Taking the cube root can thus be seen as cancelling the operation of raising a number to the power 3, i.e. <math>\sqrt[3]{5^{3}} = 5\,</math>, <math>\ \sqrt[3]{6^{3}} = 6\,</math> etc.		Note: Taking the cube root can thus be seen as cancelling the operation of raising a number to the power 3, i.e. <math>\sqrt[3]{5^{3}} = 5\,</math>, <math>\ \sqrt[3]{6^{3}} = 6\,</math> etc.

Tek — Tue, 30 Sep 2008 08:34:48 GMT

← Nächstältere Version		Version vom 08:34, 30. Sep. 2008
Zeile 1:		Zeile 1:
	The cube root of a number is the same thing as the number raised to the power		The cube root of a number is the same thing as the number raised to the power
-	~~<math>{~~1}/{3~~}\;</math>~~, i.e.	+	1/3, i.e. <math>\sqrt[3]{a} = a^{1/3}\,\textrm{.}</math> If we therefore write the number 8 as a product of its smallest possible integer factors
-	<math>\sqrt[3]{a}=a^{{1}/{3}\;}</math>	+
-	If we therefore write the number	+
-	~~<math>\text{~~8~~}</math>~~	+
-	as a product of its smallest possible integer factors	+
-		+
-		+
-	~~<math>8=2\centerdot 4=2\centerdot 2\centerdot 2=2^{3}</math>~~	+

		+	{{Displayed math\|\|<math>8 = 2\cdot 4 = 2\cdot 2\cdot 2 = 2^{3}</math>}}

	we see that		we see that

		+	{{Displayed math\|\|<math>\sqrt[3]{8} = \sqrt[3]{2^{3}} = \bigl(2^{3}\bigr)^{1/3} = 2^{3\cdot\frac{1}{3}} = 2^{1} = 2\,\textrm{.}</math>}}

-	<math>\sqrt[3]{8}=\sqrt[3]{2^{3}}=\left( 2^{3} \right)^{{1}/{3}\;}=2^{3\centerdot \frac{1}{3}}=2^{1}=2</math>.

-	~~NOTE~~: Taking the cube root can thus be seen as cancelling the operation of raising a number to the power	+	Note: Taking the cube root can thus be seen as cancelling the operation of raising a number to the power 3, i.e. <math>\sqrt[3]{5^{3}} = 5\,</math>, <math>\ \sqrt[3]{6^{3}} = 6\,</math> etc.
-	~~<math>\text{~~3~~}</math>~~, i.e.	+
-	<math>\sqrt[3]{5^{3}}=5,\~~quad~~ \sqrt[3]{6^{3}}=6</math>	+
-	etc.	+

Ian — Mon, 22 Sep 2008 11:11:34 GMT

← Nächstältere Version		Version vom 11:11, 22. Sep. 2008
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-	{{~~NAVCONTENT_START~~}}	+	The cube root of a number is the same thing as the number raised to the power
-	<~~center~~> [[~~Image:3_1_2f.gif]~~] </~~center~~>	+	<math>{1}/{3}\;</math>, i.e.
-	{{~~NAVCONTENT_STOP~~}}	+	<math>\sqrt[3]{a}=a^{{1}/{3}\;}</math>
		+	If we therefore write the number
		+	<math>\text{8}</math>
		+	as a product of its smallest possible integer factors
		+
		+
		+	<math>8=2\centerdot 4=2\centerdot 2\centerdot 2=2^{3}</math>
		+
		+
		+	we see that
		+
		+
		+	<math>\sqrt[3]{8}=\sqrt[3]{2^{3}}=\left( 2^{3} \right)^{{1}/{3}\;}=2^{3\centerdot \frac{1}{3}}=2^{1}=2</math>.
		+
		+	NOTE: Taking the cube root can thus be seen as cancelling the operation of raising a number to the power
		+	<math>\text{3}</math>, i.e.
		+	<math>\sqrt[3]{5^{3}}=5,\quad \sqrt[3]{6^{3}}=6</math>
		+	etc.

Tekbot — Tue, 09 Sep 2008 09:09:03 GMT

← Nächstältere Version

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Tekbot — Thu, 21 Aug 2008 06:51:39 GMT

Robot: Automated text replacement (-[[Bild: +[[Image:)

Oskar — Tue, 01 Apr 2008 13:50:32 GMT

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