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.

Brussels sprouts get a bad rap: many kids hate them before they ever taste them.

‘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.’

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.