mickeylili http://math.mickeylili.com A Migrant Worker in Mathematics Tue, 21 Feb 2012 13:17:29 +0000 en hourly 1 http://wordpress.org/?v=3.3.1 Lecture notes on Calculus (III)-2 2012 http://math.mickeylili.com/2012/02/lecture-notes-on-calculus-iii-2-2012.html http://math.mickeylili.com/2012/02/lecture-notes-on-calculus-iii-2-2012.html#comments Tue, 14 Feb 2012 03:22:41 +0000 Lili http://math.mickeylili.com/?p=71 Please download via the following links. The file names are just the course dates.

120215.pdf (updated on 2012-02-14)

120217.pdf (updated on 2012-02-16)

120222.pdf (updated on 2012-02-21)

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]]> http://math.mickeylili.com/2012/02/lecture-notes-on-calculus-iii-2-2012.html/feed 0 Lecture notes on Calculus (II)-1 2011 http://math.mickeylili.com/2011/10/lecture-notes-on-calculus-ii-1-2011.html http://math.mickeylili.com/2011/10/lecture-notes-on-calculus-ii-1-2011.html#comments Tue, 04 Oct 2011 06:58:13 +0000 Lili http://math.mickeylili.com/2011/10/lecture-notes-on-calculus-ii-1-2011.html Please download via the following links. The file names are just the course dates.

110915.pdf (updated on 2011-09-21)

110919.pdf (updated on 2011-09-21)

110922.pdf (updated on 2011-09-22)

110926.pdf (updated on 2011-09-28)

110929.pdf (updated on 2011-09-28)

111008.pdf (updated on 2011-10-08)

111010.pdf (updated on 2011-10-11)

111013.pdf (updated on 2011-10-25)

111017.pdf (updated on 2011-10-17)

111020.pdf (updated on 2011-10-16)

111024.pdf (updated on 2011-10-22)

111027.pdf (updated on 2011-10-23)

111114.pdf (updated on 2011-11-12)

111117.pdf (updated on 2011-11-17)

111121.pdf (updated on 2011-11-17)

111124.pdf (updated on 2011-11-19)

111128.pdf (updated on 2011-11-28)

Exercises.pdf (updated on 2011-12-19)

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]]> http://math.mickeylili.com/2011/10/lecture-notes-on-calculus-ii-1-2011.html/feed 5 The concept lattice functors http://math.mickeylili.com/2010/12/the-concept-lattice-functors.html http://math.mickeylili.com/2010/12/the-concept-lattice-functors.html#comments Wed, 08 Dec 2010 12:54:34 +0000 Lili http://math.mickeylili.com/2010/12/08/the-concept-lattice-functors/ This paper is concerned with the relationship between contexts, closure spaces, and complete lattices. It is shown that, for a unital quantale L, both formal concept lattices and property oriented concept lattices are functorial from the category L-Ctx of L-contexts and infomorphisms to the category L-Sup of complete L-lattices and suprema-preserving maps. Moreover, the formal concept lattice functor can be written as the composition of a right adjoint functor from L-Ctx to the category L-Cls of L-closure spaces and continuous functions and a left adjoint functor from L-Cls to L-Sup.

Submitted to International Journal of Approximate Reasoning on Dec 07, 2010.

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]]> http://math.mickeylili.com/2010/12/the-concept-lattice-functors.html/feed 0 Welcome to my math blog http://math.mickeylili.com/2010/10/welcome-to-my-math-blog.html http://math.mickeylili.com/2010/10/welcome-to-my-math-blog.html#comments Sat, 16 Oct 2010 06:27:55 +0000 Lili http://math.mickeylili.com/2010/10/16/welcome-to-my-math-blog/ Let me start the blog with a brief introduction.

Unlike my Chinese blog, I will share my articles and ideas in mathematics in this blog. All the posts here will be published in English, the offical language in the mathematical world, since most mathematical terms cannot be translated into other languages including Chinese.

Please feel free to visit my blog, and welcome to share any ideas with me.

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