Page boy (wedding attendant) Page boy (wedding attendant) A page boy is a young male attendant at a wedding or cotillion, a social dance. This type of wedding attendant is less common than it used to be, but is still a way of including young relatives or the children of relatives and friends in a wedding. A page is often seen at British royal weddings. There may be many pages for effect at cotillions. Traditionally, page boys carry the bride's train, especially if the bride is wearing a dress with a long train. Because of the difficulty of managing the train, page boys are
Rank of an elliptic curve the set of elliptic curves formula_14 by It can then be shown that the number of elliptic curves formula_5 with bounded height formula_17 is finite. We denote by formula_18 the Mordell–Weil rank of the elliptic curve formula_5. With the height function formula_17 in hand, one can then define the "average rank" as a limit, provided that it exists: It is not known whether or not this limit exists. However, by replacing the limit with the limit superior, one can obtain a well-defined quantity. Obtaining estimates for this quantity is therefore obtaining upper bounds for the size of the average rank