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 Rank of an elliptic curve In mathematics, the rank of an elliptic curve is the rational Mordell–Weil rank of an elliptic curve formula_1 defined over the field of rational numbers. The rank is related to several outstanding problems in number theory, most notably the Birch–Swinnerton-Dyer conjecture. It is widely believed that there is no maximum rank for an elliptic curve, and it has been shown that there exist curves with rank as large as 28, but it is widely believed that such curves are rare. Indeed, Goldfeld and later Katz–Sarnak conjectured that in a suitable sense, the rank of elliptic