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An extension of an arbitrary field F of the form F(sqrt(1+lambda^2)), where lambda in F.

The Ree group R(q) is the automorphism group of a S(2,q+1,q^3+1) Steiner system.

The set of "critical values" of a map u:R^n->R^n of map class C^1 has Lebesgue measure 0 in R^n.

A p-element x of a group G is semisimple if E(C_G(x))!=1, where E(H) is the commuting product of all components of H and C_G(x) is the centralizer of G.

Let A be a C^*-algebra, then a state is a positive linear functional on A of norm 1.

The Stolarsky mean of two numbers a and c is defined by S_p(a,c)=[(a^p-c^p)/(p(a-c))]^(1/(p-1)) (Havil 2003, p. 121).

The partial differential equation iu_t+[(1+|u|^2u)^(-1/2)u]_(xx)=0.

Let H_nu^((iota))(x) be a Hankel function of the first or second kind, let x,nu>0, and define w=sqrt((x/nu)^2-1). Then ...

If two curves of the same curve genus >1 are in rational correspondence, then that correspondence is birational.

The Harries-Wong graph is one of the three (3,10)-cage graphs, the other two being the (10,3)-cage known as the Balaban 10-cage and the Harries graph. The Harries-Wong graph ...