! - Revision history

Metaweta at 16:16, 10 April 2022

2022-04-10T16:16:10Z

← Older revision		Revision as of 17:16, 10 April 2022
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	\| X \|\| ←π₁— \|\| X × Y \|\| —π₂→ \|\| Y		\| X \|\| ←π₁— \|\| X × Y \|\| —π₂→ \|\| Y
	\|}		\|}
	~~(The morphism ! denoting the unique arrow from an object Z equipped with morphisms p: Z → X, q: Z → Y to the universal such object X × Y making the diagram commute.)~~

Metaweta at 16:14, 10 April 2022

2022-04-10T16:14:42Z

@@ Line 1: / Line 1: @@
 [[Category:Ambiguities]]
-The ! symbol is used to represent the factorial operation.
+The ! symbol is principally used to represent the factorial operation.
 When a factorial appears inside a sentence, it's possible to misinterpret the ! as an exclamation mark<ref>[https://twitter.com/matthras/status/1415236669553274882 Tweet by Matt Mack]</ref>:
@@ Line 36: / Line 36: @@
 "There are 6 factorial."
 </blockquote>

Christian Lawson-Perfect at 15:11, 29 July 2021

2021-07-29T15:11:09Z

← Older revision		Revision as of 16:11, 29 July 2021
Line 12:		Line 12:

	Two ! symbols together represent the ''double factorial'', multiplying just the odd or even numbers. So juxtaposition doesn't represent composition here: \(x!! \neq (x!)!\)		Two ! symbols together represent the ''double factorial'', multiplying just the odd or even numbers. So juxtaposition doesn't represent composition here: \(x!! \neq (x!)!\)

			A ! symbol on the left represents the number of derangements, or ''subfactorial''. The order of precedence is not clear:

			Does \(!n!\ = (!n)!\) or \(!(n!)\)?

			Does \(a!b = (a!)b \) or \(a(!b)\)?

	Does it make it clearer that a factorial is a present if you add another punctuation symbol after the ! symbol?		Does it make it clearer that a factorial is a present if you add another punctuation symbol after the ! symbol?

Christian Lawson-Perfect at 09:20, 14 July 2021

2021-07-14T09:20:59Z

@@ Line 3: / Line 3: @@
 The ! symbol is used to represent the factorial operation.
-When a factorial appears inside a sentence, it's possible to misinterpret the ! as an exclamation mark:
+When a factorial appears inside a sentence, it's possible to misinterpret the ! as an exclamation mark<ref>[https://twitter.com/matthras/status/1415236669553274882 Tweet by Matt Mack]</ref>:
 <blockquote>
@@ Line 12: / Line 12: @@
 Two ! symbols together represent the ''double factorial'', multiplying just the odd or even numbers. So juxtaposition doesn't represent composition here: \(x!! \neq (x!)!\)

Christian Lawson-Perfect: Created page with "Category:Ambiguities The ! symbol is used to represent the factorial operation. When a factorial appears inside a sentence, it's possible to misinterpret the ! as an exc..."

2021-07-06T14:43:32Z

Created page with "Category:Ambiguities The ! symbol is used to represent the factorial operation. When a factorial appears inside a sentence, it's possible to misinterpret the ! as an exc..."

New page

[[Category:Ambiguities]]

The ! symbol is used to represent the factorial operation.

When a factorial appears inside a sentence, it's possible to misinterpret the ! as an exclamation mark:

<blockquote>
"How many ways of ordering six objects are there?"

"There are 6!"
</blockquote>

Two ! symbols together represent the ''double factorial'', multiplying just the odd or even numbers. So juxtaposition doesn't represent composition here: \(x!! \neq (x!)!\)