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Algorithms for Function Fields [PDF]
Let K/Q(t) be a finite extension. We describe algorithms for computingsubfields and automorphisms of K/Q(t). As an application we give an algorithm for finding decompositions of rational functions in Q(α). We also present an algorithm which decides if an extension L/Q(t) is a subfield of K.
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Pseudo-algebraically closed fields over rational function fields [PDF]
The following theorem is proved: Let T T be an uncountable set of algebraically independent elements over a field K 0 {K_0} . Then K = K 0 ( T ) K = {K_0}(T) is a Hilbertian ...
Jarden, Moshe, Shelah, Saharon
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Functional visual fields: relationship of visual field areas to self‐reported function [PDF]
AbstractPurposeThe aim of this study is to relate areas of the visual field to functional difficulties to inform the development of a binocular visual field assessment that can reflect the functional consequences of visual field loss.MethodsFifty‐two participants with peripheral visual field loss undertook binocular assessment of visual fields using ...
Subhi, Hikmat +3 more
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Regularization of $f(T)$ gravity theories and local Lorentz transformation [PDF]
We regularized the field equations of $f(T)$ gravity theories such that the effect of Local Lorentz Transformation (LLT), in the case of spherical symmetry, is removed.
Nashed, G. G. L.
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Automorphisms of Function Fields [PDF]
1. Let K be an algebraic function field of one variable over the constant field k and let g > 0 be the genus of K. Let 9 be the group of all automorphisms of K that leave the elements of k fixed (and that leave a given place Po of K/k fixed if g = 1). A classical theorem due to Schwartz-Klein-NoetherWeierstrass-Poincar&-Hurwitz when g>1 (and older for ...
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Partition function of massless scalar field in Schwarzschild background [PDF]
Using thermal value of zeta function instead of zero temperature, the partition function of quantized fields in arbitrary stationary backgrounds was found to be independent of undetermined regularization constant in even-dimension and the long drawn ...
Sanyal, Abhik Kumar
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We present the first implementation of sieving techniques in the context of function fields. More precisely, we compute in class groups of quadratic congruence function fields by combining the algorithm of Hafner and McCurley with sieving ideas known from factoring.
Flassenberg, Ralf, Paulus, Sachar
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Fertilization and planting practices in crop systems have become important ways to reduce the uptake of heavy metals in polluted soils. However, the relative effectiveness of different management modes and the underlying mechanisms are not fully ...
Yongjian He +7 more
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From Green Function to Quantum Field
A pedagogical introduction to the theory of a gaussian scalar field which shows firstly, how the whole theory is encapsulated in the Wightman function $W(x,y)=\langle\phi(x)\phi(y)\rangle$ regarded abstractly as a two-index tensor on the vector space of (
Sorkin, Rafael D.
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Quasiclassical Green function in an external field and small-angle scattering [PDF]
The quasiclassical Green functions of the Dirac and Klein-Gordon equations in the external electric field are obtained with the first correction taken into account.
A. I. Akhiezer +21 more
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