Results 51 to 60 of about 28,455,638 (326)
The Genus Field and Genus Number in Algebraic Number Fields [PDF]
Nagoya Mathematical Journal, 1967 Let k be an algebraic number field and K be its normal extension of finite degree. Then the genus field K* of K over k is defined as the maximal unramified extension of K which is obtained from K by composing an abelian extension over k2). We call the degree (K*: K) the genus number of K over k.
openaire +2 more sources
On the Spectrum of Field Quadratures for a Finite Number of Photons
, 2012 The spectrum and eigenstates of any field quadrature operator restricted to a finite number $N$ of photons are studied, in terms of the Hermite polynomials.
Abramowitz M +19 more
core +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction We developed MedSupport, a multilevel medication adherence intervention designed to address root barriers to medication adherence. This study sought to explore the feasibility and acceptability of the MedSupport intervention strategies to support a future full‐scale randomized controlled trial.
Elizabeth G. Bouchard +8 more
wiley +1 more source
Sensors, 2015 This paper presents a novel algorithm for the localization of mixed far-field sources (FFSs) and near-field sources (NFSs) without estimating the source number.
Jian Xie, Haihong Tao, Xuan Rao, Jia Su
doaj +1 more source
Journal of Animal Reproduction and Biotechnology, 2020 The effects of the number of frozen-thawed ram sperm per single and double intra-cervical artificial insemination (AI) on fertility in ewes were studied.
Pankaj Kumar Jha +7 more
doaj +1 more source
Riemann zeta zeros and prime number spectra in quantum field theory
, 2013 The Riemann hypothesis states that all nontrivial zeros of the zeta function lie in the critical line $\Re(s)=1/2$. Hilbert and P\'olya suggested that one possible way to prove the Riemann hypothesis is to interpret the nontrivial zeros in the light of ...
Menezes, G. +2 more
core +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background/Objectives Osteosarcoma is a radioresistant tumor that may benefit from stereotactic body radiation therapy (SBRT) for locoregional control in metastatic/recurrent disease. We report institutional practice patterns, outcomes, toxicity, and failures in osteosarcoma patients treated with SBRT.
Jenna Kocsis +13 more
wiley +1 more source
Nuclear Physics B, 2020 In this paper we present a method for calculating the total probability corresponding to the processes of fermion pair production in dipole magnetic field and external Coulomb field in a de Sitter geometry.
Mihaela-Andreea Băloi +2 more
doaj +1 more source
The set of non-squares in a number field is diophantine
, 2007 Fix a number field k. We prove that k* - k*^2 is diophantine over k. This is deduced from a theorem that for a nonconstant separable polynomial P(x) in k[x], there are at most finitely many a in k* modulo squares such that there is a Brauer-Manin ...
Poonen, Bjorn
core +1 more source
An Experiment of Number Field Sieve for Discrete Logarithm Problem over GF(p 12)
Number Theory and Cryptography, 2013 The security of pairing-based cryptography is based on the hardness of the discrete logarithm problem (DLP) over finite field GF(p n ). For example, the security of the optimal Ate pairing using BN curves, which is one of the most efficient algorithms ...
Kenichiro Hayasaka +3 more
semanticscholar +1 more source