Results 201 to 210 of about 68,641 (256)

Orderings under field extensions

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Lam, T.Y., Elman, R., Wadsworth, A.R.
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Fields and Field Extensions

1997
We have now given two proofs of the Fundamental Theorem of Algebra. Both of these involved much more analysis (calculus) than algebra. The first relied on the analytic properties of two-variable real-valued functions from advanced calculus as well as the continuity of real polynomials while the second proof followed from the theory of complex analysis.
Benjamin Fine, Gerhard Rosenberger
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Fields and field extensions

1998
Abstract We shall now go rather more deeply into the theory of fields. In many ways a field is the best sort of system to work with, because it is always possible to divide by a non-zero element. The material of this chapter has many uses in the remainder of the book.
A W Chatters, C R Hajarnavis
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

Extensions of Difference Fields

American Journal of Mathematics, 1952
of algebraic fields, that is, fields in the ordinary sense, onily if the characteristic p exceed 0. In this case an extension which is monadic in the sense just described may be produced by adjoining a p-th root not already in the field. Our purpose in this paper is to present in organized form the still rudimentary theory of these phenomena, and to ...
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Radiotheranostics in oncology: Making precision medicine possible

Ca-A Cancer Journal for Clinicians, 2023
Eric Aboagye
exaly  

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