Every poset has a central element

Every Poset Has a Central Element

It is proved that there exists a constant 6, f > 6 > 0, such that in every finite partially ordered set there is an element such that the fraction of order ideals containing that element is between 6 and 1 -6. It is shown that 6 can be taken to be at least (3-log, 5)/4~0.17. This settles a question asked independently by Colburn and Rival, and Rosenthal. The result implies that the information-...

Every Body Has a Brain

[1] http://ebhb.morphonix.com/ [2] http://fireflyfoundation.wordpress.com/brain-games/every-body-has-a-brain/ [3] http://dev.cdgr.ucsb.edu/organizations/morphonix [4] http://dev.cdgr.ucsb.edu/category/genre/educational [5] http://dev.cdgr.ucsb.edu/category/genre/music/dance [6] http://dev.cdgr.ucsb.edu/category/topics/anatomy [7] http://dev.cdgr.ucsb.edu/category/topics/brain [8] http://dev.cdg...

Every Algorithm Has a POV

Every cloud has a silver lining.

phamide, and Rituximab Versus FCR Alone in Subjects With Relapsed Chronic Lymphocytic Leukemia] study).8 If the results of this pivotal trial confirm the findings of Byrd et al,7 it will have an important influence on the treatment strategy of patients with CLL. In recent years, 4 drug combination therapies with FCR and alemtuzumab or FCR and mitoxantrone in refractory/relapsed CLL patients wer...

Every document has a geographical scope

It is a useful premise to assume that every document in a collection and every query issued to an information retrieval (IR) system is geography-dependent. If one can determine what area an article is about (i.e., its’ geographical scope), this information can be used to improve the accuracy with which people, places and organizations named in the article can be located. More importantly, geogr...