Brussels sprouts get a bad rap: many kids hate them before they ever taste them.
Figure 2 represents a top plan of the Babbitting jig, placed in or upon a cast-iron frame, preparatory to the pouring or casting of the Babbitt or other soft metal on to or around its journals, to form journal bearings in said cast-iron frame.
Babbitting
Babbitt
‘It's rather like a beautiful Inverness cloak one has inherited. Much too good to hide away, so one wears it instead of an overcoat and pretends it's an amusing new fashion.’
In 1928 Emanuel Sperner asked and answered the following question: Suppose we are given the set N=1,2,3,…,n. Call a family ℱ of subsets of N, which has partial order ⊆]) an antichain if no set of ℱ contains another set of the family ℱ. What is the size of a largest antichain? Clearly, the family ℱₖ of all k-sets satisfies the antichain property with |ℱₖ|=\binomnk. Looking at the maximum of the binomial coefficients (see page 14) we conclude that there is an antichain of size \binomn[n/2]= max ₖ\binomnk. Sperner's theorem now asserts that there are no larger ones.
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