Stacked fractions - Revision history

Hpecora1: Added reference for convoluted example due to Barry Mazur who was trying to annoy Serge Lang.

2021-07-12T16:38:39Z

Added reference for convoluted example due to Barry Mazur who was trying to annoy Serge Lang.

← Older revision		Revision as of 17:38, 12 July 2021
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	A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and 1, respectively.		A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and 1, respectively.

	Things get even worse when you use the letter \(\Xi\) in this convoluted example:		Things get even worse when you use the letter \(\Xi\) in this convoluted example<ref>[http://www.ams.org/notices/200605/fea-lang.pdf AMS Notices: Remembrances of Serge Lang]</ref>:

	[[File:Xi bar over Xi .jpg\|thumb\|center\|alt=A handwritten stacked fraction with Xi bar divided by Xi. In effect it looks like nothing more than a stack of eight horizontal lines of varying sizes.\|\(\frac{\bar \Xi}{\Xi}\), handwritten]]		[[File:Xi bar over Xi .jpg\|thumb\|center\|alt=A handwritten stacked fraction with Xi bar divided by Xi. In effect it looks like nothing more than a stack of eight horizontal lines of varying sizes.\|\(\frac{\bar \Xi}{\Xi}\), handwritten]]

Christian Lawson-Perfect at 13:44, 11 July 2021

2021-07-11T13:44:16Z

← Older revision		Revision as of 14:44, 11 July 2021
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	[[Category:Ambiguities]]		[[Category:Ambiguities]]
			[[Category:Handwriting]]

	A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and 1, respectively.		A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and 1, respectively.

Christian Lawson-Perfect at 13:12, 30 June 2021

2021-06-30T13:12:32Z

← Older revision		Revision as of 14:12, 30 June 2021
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	Things get even worse when you use the letter \(\Xi\) in this convoluted example:		Things get even worse when you use the letter \(\Xi\) in this convoluted example:

	\[ \frac{\Xi}{~~\bar~~\Xi} \]		[[File:Xi bar over Xi .jpg\|thumb\|center\|alt=A handwritten stacked fraction with Xi bar divided by Xi. In effect it looks like nothing more than a stack of eight horizontal lines of varying sizes.\|\(\frac{\bar \Xi}{\Xi}\), handwritten]]

	~~[[File:Xi bar over Xi .jpg\|thumb~~]]

Christian Lawson-Perfect at 13:09, 30 June 2021

2021-06-30T13:09:02Z

← Older revision		Revision as of 14:09, 30 June 2021
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	A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and 1, respectively.		A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and 1, respectively.

	Things get even worse when you use the letter \(\Xi\):		Things get even worse when you use the letter \(\Xi\) in this convoluted example:

	\[ \frac{\Xi}{\bar\Xi} \]		\[ \frac{\Xi}{\bar\Xi} \]

			[[File:Xi bar over Xi .jpg\|thumb]]

Christian Lawson-Perfect at 12:56, 30 June 2021

2021-06-30T12:56:41Z

← Older revision		Revision as of 13:56, 30 June 2021
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	A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and 1, respectively.		A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and 1, respectively.

			Things get even worse when you use the letter \(\Xi\):

			\[ \frac{\Xi}{\bar\Xi} \]

ColinBeveridge at 12:42, 30 June 2021

2021-06-30T12:42:14Z

← Older revision		Revision as of 13:42, 30 June 2021
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			[[Category:Ambiguities]]

	A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and 1, respectively.		A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and 1, respectively.

ColinBeveridge: Created page with "A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and..."

2021-06-30T12:40:55Z

Created page with "A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and..."

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A fraction written on multiple levels is often ambiguous, especially when handwritten. For example, \(\frac{10}{\frac{2}{5}}\) and \(\frac{\frac{10}{2}}{5}\) result in 25 and 1, respectively.