On Roots of Polynomials and Algebraically Closed Fields
Keyword(s):
The Real
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Summary In this article we further extend the algebraic theory of polynomial rings in Mizar [1, 2, 3]. We deal with roots and multiple roots of polynomials and show that both the real numbers and finite domains are not algebraically closed [5, 7]. We also prove the identity theorem for polynomials and that the number of multiple roots is bounded by the polynomial’s degree [4, 6].
Canonical forms of 2×3×3 tensors over the real field, algebraically closed fields, and finite fields
2015 ◽
Vol 476
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pp. 133-147
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Keyword(s):
The Real
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2004 ◽
Vol 271
(2)
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pp. 627-637
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1985 ◽
Vol 38
(3)
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pp. 330-350
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