2002Journal of Guizhou Normal UniversityRequires access

Equation and curves——theorem of halved-equation(Type A_3)

MI Jia-xin

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Abstract

When a formula for general term of halved-equation (Type A 3)is applied to an arbitrary positive integer n,a general equation of unary nth algebraic expression,with complex coefficients,can be obtained.Each general equation produces a concrete given equation,according to any point in an coordinate plane.Then n complex roots can be got accurately and easily through its necessary root extracting formula.Equation and extraction of root resulting from the theorem are indefinite,because of the indefinitness of n.

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What this paper is about

When a formula for general term of halved-equation (Type A 3)is applied to an arbitrary positive integer n,a general equation of unary nth algebraic expression,with complex coefficients,can be obtained.Each general equation produces a concrete given equation,according to any point in an coordinate plane.Then n complex roots can be got accurately and easily through its necessary root extracting formula.Equation and extraction of root resulting from the theorem are indefinite,because of the indefinitness of n.

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Available abstract

When a formula for general term of halved-equation (Type A 3)is applied to an arbitrary positive integer n,a general equation of unary nth algebraic expression,with complex coefficients,can be obtained.Each general equation produces a concrete given equation,according to any point in an coordinate plane.Then n complex roots can be got accurately and easily through its necessary root extracting formula.Equation and extraction of root resulting from the theorem are indefinite,because of the indefinitness of n.

Key concepts: Mathematics, Unary operation, Characteristic equation, Integer (computer science), Mathematical analysis, Type (biology), Functional equation, Plane (geometry)

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