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In particular, a set is ultra if and only if and contains as a subset some ultra family of sets. A filter subbase that is ultra is necessarily a prefilter. [proof 1] The ultra property can now be used to define both ultrafilters and ultra prefilters: An ultra prefilter [2] [3] is a prefilter that is ultra. Equivalently, it is a filter subbase ...
The ultrafilter monad is the codensity monad of the inclusion of the category of finite sets into the category of all sets. [ 1 ] Similarly, the ultraproduct monad is the codensity monad of the inclusion of the category F i n F a m {\displaystyle \mathbf {FinFam} } of finitely-indexed families of sets into the category F a m {\displaystyle ...
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Lego Ultra Agents was an updated version of the previous Lego Agents theme, which was released in 2008, Lego Agents itself was also an update of Lego Alpha Team.Lego Ultra Agents included some of the original high-tech spy concepts of the Lego Agents and Alpha Team themes, but also introduced a storyline and a series of secret build instructions for the Lego sets that were delivered through ...
Later sets added 45 degree bends and 10" straights. More elaborate sets included a 4 lanes wide straight that allowed you to drive off onto a second track or a pitlane, a banked corner where the centrifugal force generated by a fast moving car would allow it to run off from the electronic power strips onto a banked extension to the outside of ...
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Aurora designed the AFX cars with interchangeable car body shells usually compatible with each chassis they released during these years. The original 1971 A/FX chassis utilized an updated version of the existing pancake motor design of Aurora's "Thunderjet 500" line, popular in the 1960s. [2]