Results 41 to 50 of about 4,829,005 (281)

On Indices of Septic Number Fields Defined by Trinomials x⁷ + ax + b

Mathematics, 2023
Let K be a septic number field generated by a root, α, of an irreducible trinomial, x7+ax+b∈Z[x]. In this paper, for every prime integer, p, we calculate νp(i(K)); the highest power of p dividing the index, i(K), of the number field, K. In particular, we
Lhoussain El Fadil
doaj   +1 more source

Adherence to Protocol Recommendations for Children With Wilms Tumour in Two Consecutive Studies in the United Kingdom and Ireland—Does Variation Matter?

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background and Aims Wilms tumour (WT) has excellent event‐free and overall survival (OS). However, small differences exist between countries participating in the same international study. This led us to examine variation in adherence to protocol recommendations as a potential contributing factor.
Suzanne Tugnait, R. Al‐Saadi, A. Lopez‐Cortes, K. Dzhuma, M. Oostveen, J. Brok, S. Irtan, M. Weeks, J. Bate, S. Baker, R. Williams, M. Powis, D. Saunders, O. Olsen, T. Watson, S. Shelmerdine, S. Vaidya, L. Howell, C. Duncan, G. M. Vujanic, C. Stiller, G. P. Balchin, T. Chowdhury, K. Pritchard‐Jones   +23 more
wiley   +1 more source

Computing quadratic subfields of number fields

Journal of Computational Algebra
Given a number field, it is an important question in algorithmic number theory to determine all its subfields. If the search is restricted to abelian subfields, we can try to determine them by using class field theory.
Andreas-Stephan Elsenhans, Jürgen Klüners   +1 more
doaj   +1 more source

Diversity in Parametric Families of Number Fields

, 2016
Let X be a projective curve defined over Q and t a non-constant Q-rational function on X of degree at least 2. For every integer n pick a point P_n on X such that t(P_n)=n.
H. Davenport, J.-P. Serre, P. Corvaja, R. Dvornicich   +3 more
core   +3 more sources

Conway’s field of surreal numbers [PDF]

Transactions of the American Mathematical Society, 1985
Conway introduced the Field N o {\mathbf {No}} of numbers, which Knuth has called the surreal numbers. N o {\mathbf {No}} is a proper class and a real-closed field, with a very high level of density, which can be described by extending Hausdorff ...
openaire   +2 more sources

Pediatric Oncology Nursing Competencies in Latin America and the Caribbean: A Scoping Review to Inform Practice, Education, and Research

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Nurses are central to cancer care for children and adolescents, yet no comprehensive synthesis has defined essential core competencies for pediatric oncology nursing (PON) practice internationally, particularly in Latin America and the Caribbean (LAC).
Luís Carlos Lopes‐Júnior, Edmara Bazoni Soares Maia, Soad Fuentes‐Alabí, Courtney E. Sullivan, Monnie Abraham, Mauricio Maza, Liliana Vásquez Ponce, Regina Aparecida Garcia Lima   +7 more
wiley   +1 more source

Forms of differing degrees over number fields

, 2016
Consider a system of polynomials in many variables over the ring of integers of a number field $K$. We prove an asymptotic formula for the number of integral zeros of this system in homogeneously expanding boxes.
Frei, Christopher, Madritsch, Manfred
core   +3 more sources

NRASQ61R Expression in Lymphatic Endothelial Cells Causes Enlarged Vessels, Hemorrhagic Chylous Effusions, and High Mortality in a Mouse Model of Kaposiform Lymphangiomatosis

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Kaposiform lymphangiomatosis (KLA) is an aggressive complex lymphatic anomaly. Patients exhibit malformed lymphatic vessels and often develop hemorrhagic effusions and elevated angiopoietin‐2 (Ang‐2) levels. A somatic NRAS p.Q61R (NRASQ61R) mutation has been associated with KLA.
C. Griffin McDaniel, Patricia Pastura, Joshua P. Scallan, Timothy D. Le Cras   +3 more
wiley   +1 more source

Notes on Number Theory

Mathematics
This paper presents a set of survey-style notes linking core themes of pure algebra with central topics in algebraic and analytic number theory. We begin with finite extensions of Q and describe algebraic number fields through their realization as finite-
Miroslav Stoenchev, Slavi Georgiev, Venelin Todorov   +2 more
doaj   +1 more source

About the Entropy of a Natural Number and a Type of the Entropy of an Ideal

Entropy, 2023
In this article, we find some properties of certain types of entropies of a natural number. We are studying a way of measuring the “disorder” of the divisors of a natural number. We compare two of the entropies H and H¯ defined for a natural number.
Nicuşor Minculete, Diana Savin
doaj   +1 more source