Results 41 to 50 of about 1,088,832 (269)

Some Properties of Extended Euler’s Function and Extended Dedekind’s Function

open access: yesMathematics, 2020
In this paper, we find some properties of Euler’s function and Dedekind’s function. We also generalize these results, from an algebraic point of view, for extended Euler’s function and extended Dedekind’s function, in algebraic number fields ...
Nicuşor Minculete, Diana Savin
doaj   +1 more source

The Role of “Adult‐Onset” Cancer Predisposition Genes in Pediatric Cancer: A Comprehensive Review

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Current literature estimates that 10% of pediatric cancers are caused by pathogenic or likely pathogenic (P/LP) germline variants in cancer predisposition genes (CPGs). Variants in CPGs thought to increase cancer risk exclusively during adulthood are referred to as “adult‐onset” CPGs (aoCPGs).
Maria Rozo   +5 more
wiley   +1 more source

Quantized fields induced topological features in Harper-Hofstadter model

open access: yesAAPPS Bulletin, 2023
Classical magnetic fields might change the properties of topological insulators such as the time reversal symmetry protected topological edge states. This poses a question that whether quantized fields would change differently the feature of topological ...
Xue Han   +4 more
doaj   +1 more source

Gaussian Pseudorandom Number Generator Using Linear Feedback Shift Registers in Extended Fields

open access: yesMathematics, 2021
A new proposal to generate pseudorandom numbers with Gaussian distribution is presented. The generator is a generalization to the extended field GF(2n) of the one using cyclic rotations of linear feedback shift registers (LFSRs) originally defined in GF ...
Guillermo Cotrina   +2 more
doaj   +1 more source

Varga's Theorem in Number Fields

open access: yesIntegers, 2018
See the abstract in the attached pdf.
Pete L. Clark, Lori D. Watson
openaire   +3 more sources

Number Fields [PDF]

open access: yes, 2023
Number Fields is a textbook for algebraic number theory. It grew out of lecture notes of master courses taught by the author at Radboud University, the Netherlands, over a period of more than four decades. It is self-contained in the sense that it uses only mathematics of a bachelor level, including some Galois theory.
openaire   +1 more source

Leukemia and Exposure to Potential Benzene Sources in Children From the Mexico City Metropolitan Area, 2010–2021: A Geospatial Analysis

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Leukemia is the most common childhood cancer in Mexico, and acute lymphoblastic leukemia (ALL) is the most frequent subtype. Exposure to high concentrations of benzene has been associated with ALL incidence, particularly in urban areas. This study evaluated the relationship between distance to benzene emission sources and the number
Orlando Rivera Zurita   +5 more
wiley   +1 more source

Notes on Number Theory

open access: yesMathematics
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   +2 more
doaj   +1 more source

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

open access: yesMathematics, 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

Re‐Irradiation in Pediatric Diffuse Midline Glioma: A Multi‐Institutional Retrospective Study

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Children with recurrent diffuse midline gliomas (DMGs) have limited therapeutic options at recurrence. Re‐irradiation (RT2) may be used at progression, but with uncertainty about the benefit. Methods We conducted a multi‐institutional retrospective study of children aged < 18 with DMG treated at three centers (Toronto, Canada ...
Ajay Thomas Alex   +13 more
wiley   +1 more source

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