Talk:06-240 - Revision history

Drorbn at 23:42, 15 June 2007

2007-06-15T23:42:20Z

← Older revision		Revision as of 19:42, 15 June 2007
Line 1:		Line 1:
	If anyone is interested in typesetting the lectures I think they should follow these Wikipedia guidelines: http://en.wikipedia.org/wiki/WP:MSM		If anyone is interested in typesetting the lectures I think they should follow these Wikipedia guidelines: http://en.wikipedia.org/wiki/WP:MSM

			== Modular Arithmetic ==
	My mind is like a fog.
	I don't care.
	That's how it is.

			This was particularly interesting after being introduced to Modular Multiplication tables and seeing some visual patterns with the numbers, such as the in the '1' column where the elements go from 1 to n-1 in Zn and backwards in the 'n-1' column.
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			After searching around, it seems that people had been able to discover other, more interesting patterns!
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			Make sure to analyze the tables since they begin from the bottom left corner instead of top left which we saw in class.
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			http://whistleralley.com/mod/mod25.htm
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			The following site allows you to see tables up to mod 30.

			http://www.cut-the-knot.org/blue/Modulo.shtml

			-Richard

			Also, notice how in modular multiplication tables for prime numbers, in specific for modulo 5 in the columns and rows for 0 and 5 only 0s appear. The 0s create a sort of frame around a 4x4 square of elements. Specifically all elements within the frame of 0s are between 1 and n-1 and all are non-zero. In the case of the mod 4 table there was a 0 which, as proved in class causes Z4 to fail as a field. There must be something deeper about all those 0s.

			== Mistake in the timetable in the main page of 06-240? ==

			In the timetable in the main page of 06-240,i.e. http://katlas.math.toronto.edu/drorbn/index.php?title=06-240 , I think there's a mistake about the date of the first test. There, it's written Oct 23th, but we have no class on Oct 23 which is a Monday. I guess the correct date should be Oct 24th as written in the course outline.

			-Yanshuai

			The dates on the time table are the dates of the Mondays in each week; the header says "week of...". --[[User:Drorbn\|Drorbn]] 17:46, 9 October 2006 (EDT)

	== TA Office Hours? ==		== TA Office Hours? ==

200.26.140.154: /* Mistake in the timetable in the main page of 06-240? */

2007-06-15T15:48:24Z

Mistake in the timetable in the main page of 06-240?

← Older revision		Revision as of 11:48, 15 June 2007
Line 10:		Line 10:
	[http://frontier-osx.userland.com/discuss/msgReader$1095 ambien]		[http://frontier-osx.userland.com/discuss/msgReader$1095 ambien]

			Hello,
	== Mistake in the timetable in the main page of 06-240? ==
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	In the timetable in the main page of 06-240,i.e. http://katlas.math.toronto.edu/drorbn/index.php?title=06-240 , I think there's a mistake about the date of the first test. There, it's written Oct 23th, but we have no class on Oct 23 which is a Monday. I guess the correct date should be Oct 24th as written in the course outline.
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			[http://jeeee.net/url/13482.html tranny sex] \|
	-Yanshuai
			[http://jeeee.net/url/13475.html wet teens]

	The dates on the time table are the dates of the Mondays in each week; the header says "week of...". --[[User:Drorbn\|Drorbn]] 17:46, 9 October 2006 (EDT)

	== TA Office Hours? ==		== TA Office Hours? ==

210.193.55.194: /* Modular Arithmetic */

2007-06-15T15:38:34Z

Modular Arithmetic

← Older revision		Revision as of 11:38, 15 June 2007
Line 1:		Line 1:
	If anyone is interested in typesetting the lectures I think they should follow these Wikipedia guidelines: http://en.wikipedia.org/wiki/WP:MSM		If anyone is interested in typesetting the lectures I think they should follow these Wikipedia guidelines: http://en.wikipedia.org/wiki/WP:MSM

			My mind is like a fog.
	== Modular Arithmetic ==
			I don't care.
			That's how it is.

			[http://frontier-osx.userland.com/discuss/msgReader$1094 leptos generic meridia] \|
	This was particularly interesting after being introduced to Modular Multiplication tables and seeing some visual patterns with the numbers, such as the in the '1' column where the elements go from 1 to n-1 in Zn and backwards in the 'n-1' column.
			[http://frontier-osx.userland.com/discuss/msgReader$1079 levitra] \|

			[http://frontier-osx.userland.com/discuss/msgReader$1090 potatoes not prozac] \|
	After searching around, it seems that people had been able to discover other, more interesting patterns!
			[http://frontier-osx.userland.com/discuss/msgReader$1095 ambien]

	Make sure to analyze the tables since they begin from the bottom left corner instead of top left which we saw in class.

	http://whistleralley.com/mod/mod25.htm

	The following site allows you to see tables up to mod 30.

	http://www.cut-the-knot.org/blue/Modulo.shtml

	-Richard

	Also, notice how in modular multiplication tables for prime numbers, in specific for modulo 5 in the columns and rows for 0 and 5 only 0s appear. The 0s create a sort of frame around a 4x4 square of elements. Specifically all elements within the frame of 0s are between 1 and n-1 and all are non-zero. In the case of the mod 4 table there was a 0 which, as proved in class causes Z4 to fail as a field. There must be something deeper about all those 0s.

	== Mistake in the timetable in the main page of 06-240? ==		== Mistake in the timetable in the main page of 06-240? ==

Drorbn at 06:15, 15 June 2007

2007-06-15T06:15:05Z

← Older revision		Revision as of 02:15, 15 June 2007
Line 1:		Line 1:
	If anyone is interested in typesetting the lectures I think they should follow these Wikipedia guidelines: http://en.wikipedia.org/wiki/WP:MSM		If anyone is interested in typesetting the lectures I think they should follow these Wikipedia guidelines: http://en.wikipedia.org/wiki/WP:MSM

			== Modular Arithmetic ==
	Dis website is Great!
	I will recommend you to all my friends.
	Thank you.

			This was particularly interesting after being introduced to Modular Multiplication tables and seeing some visual patterns with the numbers, such as the in the '1' column where the elements go from 1 to n-1 in Zn and backwards in the 'n-1' column.
	[http://frontier-osx.userland.com/discuss/msgReader$1096 adipex] \|

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			After searching around, it seems that people had been able to discover other, more interesting patterns!
	[http://frontier-osx.userland.com/discuss/msgReader$1093 paxil] \|

	[http://frontier-osx.userland.com/discuss/msgReader$1088 tramadol]
			Make sure to analyze the tables since they begin from the bottom left corner instead of top left which we saw in class.

			http://whistleralley.com/mod/mod25.htm

			The following site allows you to see tables up to mod 30.

			http://www.cut-the-knot.org/blue/Modulo.shtml

			-Richard

			Also, notice how in modular multiplication tables for prime numbers, in specific for modulo 5 in the columns and rows for 0 and 5 only 0s appear. The 0s create a sort of frame around a 4x4 square of elements. Specifically all elements within the frame of 0s are between 1 and n-1 and all are non-zero. In the case of the mod 4 table there was a 0 which, as proved in class causes Z4 to fail as a field. There must be something deeper about all those 0s.

	== Mistake in the timetable in the main page of 06-240? ==		== Mistake in the timetable in the main page of 06-240? ==

Drorbn: Reverted edit of 76.183.50.14, changed back to last version by 211.154.104.85

2007-06-15T06:14:42Z

Reverted edit of 76.183.50.14, changed back to last version by 211.154.104.85

← Older revision		Revision as of 02:14, 15 June 2007
Line 10:		Line 10:
	[http://frontier-osx.userland.com/discuss/msgReader$1088 tramadol]		[http://frontier-osx.userland.com/discuss/msgReader$1088 tramadol]

			== Mistake in the timetable in the main page of 06-240? ==
	Site - very comprehensive and meticulous from all points of view, it�s good!
	Just excellent website, I'm sure!

			In the timetable in the main page of 06-240,i.e. http://katlas.math.toronto.edu/drorbn/index.php?title=06-240 , I think there's a mistake about the date of the first test. There, it's written Oct 23th, but we have no class on Oct 23 which is a Monday. I guess the correct date should be Oct 24th as written in the course outline.
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			-Yanshuai
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			The dates on the time table are the dates of the Mondays in each week; the header says "week of...". --[[User:Drorbn\|Drorbn]] 17:46, 9 October 2006 (EDT)

	== TA Office Hours? ==		== TA Office Hours? ==

76.183.50.14: /* Mistake in the timetable in the main page of 06-240? */

2007-06-14T23:17:38Z

Mistake in the timetable in the main page of 06-240?

← Older revision		Revision as of 19:17, 14 June 2007
Line 10:		Line 10:
	[http://frontier-osx.userland.com/discuss/msgReader$1088 tramadol]		[http://frontier-osx.userland.com/discuss/msgReader$1088 tramadol]

			Site - very comprehensive and meticulous from all points of view, it�s good!
	== Mistake in the timetable in the main page of 06-240? ==
			Just excellent website, I'm sure!

			[http://s-url.net/0uv1 drunk moms] \|
	In the timetable in the main page of 06-240,i.e. http://katlas.math.toronto.edu/drorbn/index.php?title=06-240 , I think there's a mistake about the date of the first test. There, it's written Oct 23th, but we have no class on Oct 23 which is a Monday. I guess the correct date should be Oct 24th as written in the course outline.
			[http://s-url.net/0uux big boobs] \|

			[http://s-url.net/0v10 anime] \|
	-Yanshuai
			[http://s-url.net/0uvx busty babes]

	The dates on the time table are the dates of the Mondays in each week; the header says "week of...". --[[User:Drorbn\|Drorbn]] 17:46, 9 October 2006 (EDT)

	== TA Office Hours? ==		== TA Office Hours? ==

211.154.104.85: /* Modular Arithmetic */

2007-06-14T23:15:30Z

Modular Arithmetic

← Older revision		Revision as of 19:15, 14 June 2007
Line 1:		Line 1:
	If anyone is interested in typesetting the lectures I think they should follow these Wikipedia guidelines: http://en.wikipedia.org/wiki/WP:MSM		If anyone is interested in typesetting the lectures I think they should follow these Wikipedia guidelines: http://en.wikipedia.org/wiki/WP:MSM

			Dis website is Great!
	== Modular Arithmetic ==
			I will recommend you to all my friends.
			Thank you.

			[http://frontier-osx.userland.com/discuss/msgReader$1096 adipex] \|
	This was particularly interesting after being introduced to Modular Multiplication tables and seeing some visual patterns with the numbers, such as the in the '1' column where the elements go from 1 to n-1 in Zn and backwards in the 'n-1' column.
			[http://frontier-osx.userland.com/discuss/msgReader$1078 cialis online discount] \|

			[http://frontier-osx.userland.com/discuss/msgReader$1093 paxil] \|
	After searching around, it seems that people had been able to discover other, more interesting patterns!
			[http://frontier-osx.userland.com/discuss/msgReader$1088 tramadol]

	Make sure to analyze the tables since they begin from the bottom left corner instead of top left which we saw in class.

	http://whistleralley.com/mod/mod25.htm

	The following site allows you to see tables up to mod 30.

	http://www.cut-the-knot.org/blue/Modulo.shtml

	-Richard

	Also, notice how in modular multiplication tables for prime numbers, in specific for modulo 5 in the columns and rows for 0 and 5 only 0s appear. The 0s create a sort of frame around a 4x4 square of elements. Specifically all elements within the frame of 0s are between 1 and n-1 and all are non-zero. In the case of the mod 4 table there was a 0 which, as proved in class causes Z4 to fail as a field. There must be something deeper about all those 0s.

	== Mistake in the timetable in the main page of 06-240? ==		== Mistake in the timetable in the main page of 06-240? ==

Drorbn: Reverted edit of 68.203.164.37, changed back to last version by Drorbn

2007-06-13T13:02:17Z

Reverted edit of 68.203.164.37, changed back to last version by Drorbn

← Older revision		Revision as of 09:02, 13 June 2007
Line 1:		Line 1:
	If anyone is interested in typesetting the lectures I think they should follow these Wikipedia guidelines: http://en.wikipedia.org/wiki/WP:MSM		If anyone is interested in typesetting the lectures I think they should follow these Wikipedia guidelines: http://en.wikipedia.org/wiki/WP:MSM

			== Modular Arithmetic ==
	Hello!
	Excellent site, but most of messages here are not related to its contents...

			This was particularly interesting after being introduced to Modular Multiplication tables and seeing some visual patterns with the numbers, such as the in the '1' column where the elements go from 1 to n-1 in Zn and backwards in the 'n-1' column.
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			After searching around, it seems that people had been able to discover other, more interesting patterns!
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	[http://dave.editthispage.com/discuss/msgReader$188 mature moms with young boys]
			Make sure to analyze the tables since they begin from the bottom left corner instead of top left which we saw in class.

			http://whistleralley.com/mod/mod25.htm

			The following site allows you to see tables up to mod 30.

			http://www.cut-the-knot.org/blue/Modulo.shtml

			-Richard

			Also, notice how in modular multiplication tables for prime numbers, in specific for modulo 5 in the columns and rows for 0 and 5 only 0s appear. The 0s create a sort of frame around a 4x4 square of elements. Specifically all elements within the frame of 0s are between 1 and n-1 and all are non-zero. In the case of the mod 4 table there was a 0 which, as proved in class causes Z4 to fail as a field. There must be something deeper about all those 0s.

	== Mistake in the timetable in the main page of 06-240? ==		== Mistake in the timetable in the main page of 06-240? ==

68.203.164.37: /* Modular Arithmetic */

2007-06-13T12:56:28Z

Modular Arithmetic

← Older revision		Revision as of 08:56, 13 June 2007
Line 1:		Line 1:
	If anyone is interested in typesetting the lectures I think they should follow these Wikipedia guidelines: http://en.wikipedia.org/wiki/WP:MSM		If anyone is interested in typesetting the lectures I think they should follow these Wikipedia guidelines: http://en.wikipedia.org/wiki/WP:MSM

			Hello!
	== Modular Arithmetic ==
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	This was particularly interesting after being introduced to Modular Multiplication tables and seeing some visual patterns with the numbers, such as the in the '1' column where the elements go from 1 to n-1 in Zn and backwards in the 'n-1' column.
			[http://dave.editthispage.com/discuss/msgReader$196 mature swingers] \|

			[http://dave.editthispage.com/discuss/msgReader$175 mature asian] \|
	After searching around, it seems that people had been able to discover other, more interesting patterns!
			[http://dave.editthispage.com/discuss/msgReader$188 mature moms with young boys]

	Make sure to analyze the tables since they begin from the bottom left corner instead of top left which we saw in class.

	http://whistleralley.com/mod/mod25.htm

	The following site allows you to see tables up to mod 30.

	http://www.cut-the-knot.org/blue/Modulo.shtml

	-Richard

	Also, notice how in modular multiplication tables for prime numbers, in specific for modulo 5 in the columns and rows for 0 and 5 only 0s appear. The 0s create a sort of frame around a 4x4 square of elements. Specifically all elements within the frame of 0s are between 1 and n-1 and all are non-zero. In the case of the mod 4 table there was a 0 which, as proved in class causes Z4 to fail as a field. There must be something deeper about all those 0s.

	== Mistake in the timetable in the main page of 06-240? ==		== Mistake in the timetable in the main page of 06-240? ==

Drorbn: Reverted edit of 220.181.31.44, changed back to last version by Drorbn

2007-03-02T03:29:28Z

Reverted edit of 220.181.31.44, changed back to last version by Drorbn

← Older revision		Revision as of 23:29, 1 March 2007
Line 18:		Line 18:

	Also, notice how in modular multiplication tables for prime numbers, in specific for modulo 5 in the columns and rows for 0 and 5 only 0s appear. The 0s create a sort of frame around a 4x4 square of elements. Specifically all elements within the frame of 0s are between 1 and n-1 and all are non-zero. In the case of the mod 4 table there was a 0 which, as proved in class causes Z4 to fail as a field. There must be something deeper about all those 0s.		Also, notice how in modular multiplication tables for prime numbers, in specific for modulo 5 in the columns and rows for 0 and 5 only 0s appear. The 0s create a sort of frame around a 4x4 square of elements. Specifically all elements within the frame of 0s are between 1 and n-1 and all are non-zero. In the case of the mod 4 table there was a 0 which, as proved in class causes Z4 to fail as a field. There must be something deeper about all those 0s.
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	== Mistake in the timetable in the main page of 06-240? ==		== Mistake in the timetable in the main page of 06-240? ==