Results 41 to 50 of about 1,713,760 (284)
Necessary and sufficient conditions for a Galois extension \(K/k\) of number fields to have a normal integral basis (n.i.b.) have been given by \textit{A. Fröhlich} [J. Reine Angew. Math. 209, 39--53 (1962; Zbl 0105.02901)]. A simple necessary condition for existence of a n.i.b. is that \(K/k\) be tamely ramified.
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We here investigate the Electronic Circular Dichroism (ECD) Spectra of two representative Guanine-rich sequences folded in a Quadruple helix (GQ), by using a recently developed fragment diabatisation based excitonic model (FrDEx).
Haritha Asha +4 more
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A normal basis in a finite field is a basis of conjugate elements in the field. The complexity of the normal basis is defined to be the number of nonzero terms in certain bilinear form obtained from multiplication of elements. The authors investigate low complexity normal bases and give a construction for such bases.
David W. Ash +2 more
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ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie +4 more
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Clinical Insights Into Hypercalcemia of Malignancy in Childhood
ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
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The lipids from the electric organ of the ray, Torpedo marmorata, have been isolated and characterized. The major lipids were cholesterol, choline phospholipids, ethanolamine phospholipids, and sphingomyelins.
G C Hansson +3 more
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Artin–Schreier extensions of normal bases [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David Thomson, Colin Weir
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ABSTRACT Objective To evaluate the diagnostic yield and utility of universal paired tumor–normal multigene panel sequencing in newly diagnosed pediatric solid and central nervous system (CNS) tumor patients and to compare the detection of germline pathogenic/likely pathogenic variants (PV/LPVs) against established clinical referral criteria for cancer ...
Natalie Waligorski +9 more
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This is a survey on selected aspects of the algorithmic theory of PI-algebras, in terms of normal bases of affine (finitely generated) algebras, with indication of directions for further research, written by three of the leading experts in the field.
Alexei Kanel-Belov +2 more
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Normal Bases on Galois Ring Extensions [PDF]
In this paper we study the normal bases for Galois ring extension ${{R}} / {Z}_{p^r}$ where ${R}$ = ${GR}$(pr, n). We present a criterion on normal basis for ${{R}} / {Z}_{p^r}$ and reduce this problem to one of finite field extension $\overline{R} / \overline{Z}_{p^r}=F_{q} / F_{p} (q=p^n)$ by Theorem 1. We determine all optimal normal bases
Aixian, Zhang, Keqin, Feng
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