Search Results for ""

The difference of two complex numbers z=x+iy and z^'=x^'+iy^' is given by z-z^'=(x-x^')+i(y-y^'). In component form, (x,y)-(x^',y^')=(x-x^',y-y^').

A connection defined on a smooth algebraic variety defined over the complex numbers.

If A is a unital Banach algebra where every nonzero element is invertible, then A is the algebra of complex numbers.

A Hermitian inner product space is a complex vector space with a Hermitian inner product.

In a chain complex of modules ...->C_(i+1)->^(d_(i+1))C_i->^(d_i)C_(i-1)->... the module Z_i of i-cycles is the kernel of d_i, which is a submodule of C_i.

The axis in the complex plane corresponding to zero real part, R[z]=0.

Let K be a finite complex, let h:|K|->|K| be a continuous map. If Lambda(h)!=0, then h has a fixed point.

An algorithm which isolates roots in the complex plane by generalizing one-dimensional bracketing.

A simplicial complex K is said to be locally finite if each vertex of K belongs only to finitely many simplices of K.

The unit lower half-disk is the portion of the complex plane satisfying {|z|<=1,I[z]<0}.