Results 41 to 50 of about 53,772 (244)
An application of Baker's method to the Je\'smanowicz' conjecture on primitive Pythagorean triples
, 2018 Let $m$, $n$ be positive integers such that $m>n$, $\gcd(m,n)=1$ and $m \not\equiv n \bmod 2$. In 1956, L. Je\'smanowicz \cite{Jes} conjectured that the equation $(m^2 - n^2)^x + (2mn)^y = (m^2+n^2)^z$ has only the positive integer solution $(x,y,z) = (2,
Le, Maohua
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Families of children with cancer experience significant financial strain, even with universal healthcare. Indirect costs, such as productivity losses and non‐medical expenses, are rarely included in economic evaluations, and little is known about how effectively financial aid programmes alleviate this burden. Childhood brain tumours
Megumi Lim +8 more
wiley +1 more source
Hypergeometric transformations of linear forms in one logarithm
Functiones et Approximatio Commentarii Mathematici, 2008 We discuss hypergeometric constructions of rational approximations to values of the logarithm function.
Viola, Carlo, Zudilin, Wadim
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background The management of clinically apparent single lesions or oligofocal nephroblastomatosis, a facultative precursor of nephroblastoma, remains debated. Methods We retrospectively analyzed 37 patients with clinically apparent single or oligofocal nephroblastomatosis (two to three lesions per kidney) among 2347 patients registered between
Nils Welter +17 more
wiley +1 more source
Inpatient Food Insecurity and Pediatric Hematology Oncology Hospitalization Outcomes
Pediatric Blood &Cancer, EarlyView.ABSTRACT Children with cancer and blood disorders are at risk for food insecurity (FI). We aimed to describe the association of inpatient food insecurity (IFI) and hospitalization outcomes among patients admitted to the pediatric hematology oncology service. Of 325 caregivers screened for IFI, 60 (18.6%) screened positive.
Joanna M. Robles +4 more
wiley +1 more source
On a few Diophantine equations, in particular, Fermat's last theorem
International Journal of Mathematics and Mathematical Sciences, 2003 This is a survey on Diophantine equations, with the purpose being to give the flavour of some known results on the subject and to describe a few open problems.
C. Levesque
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Pediatric central nervous system (CNS) tumors often recur despite multimodality therapy. Although re‐irradiation (re‐RT) has historically been limited by concerns for severe late toxicities, modern techniques have renewed interest in this approach. Proton therapy provides dosimetric advantages that may enable curative re‐treatment with
Jin‐Ho Song +15 more
wiley +1 more source
On the digital representation of smooth numbers
, 2017 Let $b \ge 2$ be an integer. Among other results, we establish, in a quantitative form, that any sufficiently large integer which is not a multiple of $b$ cannot have simultaneously only few distinct prime factors and only few nonzero digits in its ...
Bugeaud, Yann, Kaneko, Hajime
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Dietary Protein Intake and Peritoneal Protein Losses in Peritoneal Dialysis Patients
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Peritoneal dialysis (PD) patients lose protein in their waste dialysate, potentially increasing their risk for malnutrition. We wished to determine whether there was any association between losses and dietary protein intake (DPI). Methods DPI was assessed from 24‐h dietary recall using Nutrics software.
Haalah Shaaker, Andrew Davenport
wiley +1 more source
Linear forms in the logarithms of three positive rational numbers [PDF]
Journal de théorie des nombres de Bordeaux, 1997 In this paper we prove a lower bound for the linear dependence of three positive rational numbers under certain weak linear independence conditions on the coefficients of the linear forms. Let Λ=b 2 logα 2 -b 1 logα 1 -b 3 logα 3 ≠0 with b 1 ,b 2 ,b 3 positive integers and α 1 ,α 2 ,α 3 positive multiplicatively independent rational numbers greater ...
Bennett, Curtis D. +4 more
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