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Showing 1 to 5 of 5 for “"Cubic Field"”.
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On the Computation of Invariants in non-Normal, non-Pure Cubic Fields and in Their Normal Closures
Let K=Q(theta) be the algebraic number field formed by adjoining theta to the rationals where theta is a real root of an irreducible monic cubic polynomial f(x) in Z[x]. If theta is not the cube root of a rational integer, we call the field K a non-pure cubic field, and if K doesn't contain the …
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On the Units and the Structure of the 3-Sylow Subgroups of the Ideal Class Groups of Pure Bicubic Fields and their Normal Closures
… <i>m</i> to the rational numbers we construct a cubic field. If we adjoin the cube roots of distinct cube free rational integers <i>m</i> and <i>n</i> to the rational numbers we construct a bicubic field. The number theoretic invariants for the cubic fields and their normal closures are well …
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A magnetic resonance study of iron in silver chloride
Th.e cubic electron spin resonance spectrum of Fe3+ in silver chloride has been studied at 1.3°K by the Electron Nuclear Double Resonance (ENDOR) technique. ENDOR lines from 6 to 24 megacycles were observed on each of the five electron spin resonance transitions and have been identified as lines …
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Explicit Equations of Non-Hyperelliptic Genus 3 Curves with Real Multiplication by <strong>Q</strong>(ζ<sub>7</sub>+ζ<sub>7</sub><sup>-1</sup>)
… ⊗<strong>Q</strong> contains the real cubic field <strong>Q</strong>(ζ<sub>7</sub>+ζ<sub>7</sub><sup>-1</sup>) where ζ<sub>7</sub> is a primitive 7th root of unity.<br> 3. These curves X(u<sub>1</sub>, u<sub>2</sub>, u<sub>3</sub>, u<sub>4</sub>) define a …
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Higher Order Couplings in the Clustering of Biased Tracers of Large-Scale Structure
… in the initial conditions. The Effective Field Theory of Large-Scale Structure (EFTofLSS) provides a powerful framework to model the non-linear clustering due to gravity. In this thesis, we focus on understanding the non-linearities due to galaxy biasing using the EFTofLSS and numerical …