Note also that the case given by the fundamental theorem of algebra is incorporated here.

The fundamental theorem of algebra can be proven from some basic results in complex analysis.

This is the statement of the fundamental theorem of algebra.

The fundamental theorem of algebra states that polynomial p has n roots.

The consequences of the fundamental theorem of algebra are twofold.

He also gave a simplified proof of the Fundamental theorem of algebra.

The special case where one of the curves is a line can be derived from the fundamental theorem of algebra.

However, once coupled with the fundamental theorem of algebra it says that the disk contains in fact at least one solution.

However, results such as the fundamental theorem of algebra are simpler when expressed in terms of complex numbers.

The fundamental theorem of algebra can be proved using two-dimensional Brownian motion.

First of all, by the fundamental theorem of algebra, the complex numbers are an algebraically closed field.

The fundamental theorem of algebra states that every polynomial function of degree has at least one complex zero.

He "had early thoughts on the fundamental theorem of algebra" and gave the inductive definition for the Fibonacci numbers.

Liouville's theorem may be used to elegantly prove the fundamental theorem of algebra.

Schönhage, Arnold (1982): The fundamental theorem of algebra in terms of computational complexity.

The main ingredients for the following proof are the Cayley-Hamilton theorem and the fundamental theorem of algebra.

There is a short proof of the fundamental theorem of algebra based upon Liouville's theorem.

The fundamental theorem of algebra is a corollary of Hopf's theorem.

The fundamental theorem of algebra is a proven fact that is the basis of mathematical analysis, the study of limits.

He gave the first satisfactory proofs of the fundamental theorem of algebra and of the quadratic reciprocity law.

On the first and fourth Gaussian proofs of the Fundamental Theorem of Algebra).

By the fundamental theorem of algebra, this can be factored into mn linear factors so there are mn solutions to the system of equations.

It can be used to provide a natural and short proof for the fundamental theorem of algebra which states that the field of complex numbers is algebraically closed.

The fundamental theorem of algebra states that for each polynomial with complex coefficients there are as many roots as the degree of the polynomial.

By the fundamental theorem of algebra this has three roots, but only one real root as there is only one eigenvector, the axis of rotation.