Search Results for ""

A group homomorphism is a map f:G->H between two groups such that the group operation is preserved:f(g_1g_2)=f(g_1)f(g_2) for all g_1,g_2 in G, where the product on the ...

The intercept form of a line in the Cartesian plane with x-intercept a and y-intercept b is given by x/a+y/b=1.

Given a positive integer n, a labeled n-digraph is a digraph whose vertex set is {1,...,n}.

A sequence defined from a finite sequence a_0, a_1, ..., a_n by defining a_(n+1)=max_(i)(a_i+a_(n-i)).

A 1-form omega=sum_(i=1)^na_i(x)dx_i such that omega=0.

Let c=(c_1,...,c_n) be a point in C^n, then the open polydisk is defined by S={z:|z_j-c_j|<|z_j^0-c_j|} for j=1, ..., n.

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.

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.