Results 61 to 70 of about 3,946,822 (379)

Recurrence Relations for Orthogonal Polynomials on Triangular Domains

Mathematics, 2016
In Farouki et al, 2003, Legendre-weighted orthogonal polynomials P n , r ( u , v , w ) , r = 0 , 1 , … , n , n ≥ 0 on the triangular domain T = { ( u , v , w ) : u , v , w ≥ 0 , u + v + w = 1 } are constructed, where u , v , w
Abedallah Rababah
doaj   +1 more source

On the reciprocal sum of the fourth power of Fibonacci numbers

Open Mathematics, 2022
Let fn{f}_{n} be the nnth Fibonacci number with f1=f2=1{f}_{1}={f}_{2}=1. Recently, the exact values of ∑k=n∞1fks−1⌊{\left({\sum }_{k=n}^{\infty }\frac{1}{{f}_{k}^{s}}\right)}^{-1}⌋ have been obtained only for s=1,2s=1,2, where ⌊x⌋\lfloor x\
Hwang WonTae, Park Jong-Do, Song Kyunghwan   +2 more
doaj   +1 more source

Proof of a stronger version of the AJ conjecture for torus knots

, 2013
For a knot $K$ in $S^3$, the $sl_2$-colored Jones function $J_K(n)$ is a sequence of Laurent polynomials in the variable $t$, which is known to satisfy non-trivial linear recurrence relations.
Anh T Tran, Lubotzky, Reshetikhin
core   +1 more source

The power of microRNA regulation—insights into immunity and metabolism

FEBS Letters, EarlyView.
MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto, Nicola Manfrini, Stefano Biffo   +2 more
wiley   +1 more source

Unlocking the potential of tumor‐derived DNA in urine for cancer detection: methodological challenges and opportunities

Molecular Oncology, EarlyView.
Urine is a rich source of biomarkers for cancer detection. Tumor‐derived material is released into the bloodstream and transported to the urine. Urine can easily be collected from individuals, allowing non‐invasive cancer detection. This review discusses the rationale behind urine‐based cancer detection and its potential for cancer diagnostics ...
Birgit M. M. Wever, Renske D. M. Steenbergen   +1 more
wiley   +1 more source

A small footprint couch‐top support device for image‐guided radiotherapy of heavy patients

Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022
Abstract Purpose Patients with body weights close to or above 400 lbs present unique challenges in radiation therapy since the weight limit of most treatment couches decreases as the couch‐top extends toward the treatment gantry. The purpose of this work was to develop a small footprint couch‐top support platform to safely perform image‐guided ...
Huixiao Chen, Kevin Morley, Ronnie Rodriguez, Emily Draeger, Muhammad Shafiq ul Hassan, Zhe (Jay) Chen   +5 more
wiley   +1 more source

Semi-local convergence of Cordero's sixth-order method

AIMS Mathematics
In this paper, the semi-local convergence of the Cordero's sixth-order iterative method in Banach space was proved by the method of recursion relation. In the process of proving, the auxiliary sequence and three increasing scalar functions can be derived
Xiaofeng Wang, Ning Shang
doaj   +1 more source

Lifestyle after Colorectal Cancer Diagnosis in Relation to Survival and Recurrence: A Review of the Literature

Current Colorectal Cancer Reports, 2017
Purpose of ReviewThis review summarizes the evidence regarding diet, physical activity, smoking, and body composition after colorectal cancer (CRC) diagnosis in relation to all-cause and CRC-specific mortality and disease recurrence and gives suggestions
M. van Zutphen, E. Kampman, E. Giovannucci, F. V. van Duijnhoven   +3 more
semanticscholar   +1 more source

Clinical applications of next‐generation sequencing‐based ctDNA analyses in breast cancer: defining treatment targets and dynamic changes during disease progression

Molecular Oncology, EarlyView.
Circulating tumor DNA (ctDNA) offers a possibility for different applications in early and late stage breast cancer management. In early breast cancer tumor informed approaches are increasingly used for detecting molecular residual disease (MRD) and early recurrence. In advanced stage, ctDNA provides a possibility for monitoring disease progression and
Eva Valentina Klocker, Samantha Hasenleithner, Rupert Bartsch, Simon P. Gampenrieder, Daniel Egle, Christian F. Singer, Gabriel Rinnerthaler, Michael Hubalek, Katja Schmitz, Zsuzsanna Bago‐Horvath, Andreas Petzer, Sonja Heibl, Ellen Heitzer, Marija Balic, Michael Gnant   +14 more
wiley   +1 more source

The application of multiple metrics in deformable image registration for target volume delineation of breast tumor bed

Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022
Abstract Background and purpose For postoperative breast cancer patients, deformable image registration (DIR) is challenged due to the large deformations and non‐correspondence caused by tumor resection and clip insertion. To deal with it, three metrics (fiducial‐, region‐, and intensity‐based) were jointly used in DIR algorithm for improved accuracy ...
Xin Xie, Yuchun Song, Feng Ye, Hui Yan, Shulian Wang, Xinming Zhao, Jianrong Dai   +6 more
wiley   +1 more source