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单词 Fundamental Continuity Theorem
释义

Fundamental Continuity Theorem

Given two Polynomials of the same order in one variable where the first Coefficients (but not the first ) are 0 and the Coefficients of the secondapproach the corresponding Coefficients of the first as limits, then the second Polynomial willhave exactly roots that increase indefinitely. Furthermore, exactly Roots of the second will approacheach Root of multiplicity of the first as a limit.


References

Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 4, 1959.


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