Results 61 to 70 of about 3,760,531 (362)

Front representation of set partitions

, 2011
Let $\pi$ be a set partition of $[n]=\{1,2,...,n\}$. The standard representation of $\pi$ is the graph on the vertex set $[n]$ whose edges are the pairs $(i,j)$ of integers with ...
Kim, Jang Soo
core   +1 more source

Stereotactic Body Radiation Therapy for Pediatric, Adolescent, and Young Adult Patients With Osteosarcoma: Local Control Outcomes With Dosimetric Analysis

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, Shauna R. Campbell, Jonathan Jang, Eashwar Somasundaram, Chandana A. Reddy, Jacob G. Scott, Lilyana Angelov, Peter M. Anderson, Matteo Trucco, Zachary Burke, Lukas Nystrom, Nathan Mesko, Anthony Magnelli, Erin S. Murphy   +13 more
wiley   +1 more source

The mathematics of generalized Fibonacci sequences: Binet's formula and identities [PDF]

Mathematica Moravica
This article considers a generalized Fibonacci sequence {Vn} with general initial conditions, V0 = a, V1 = b, and a versatile recurrence relation Vn = pVn-1 + qVn-2, where n ≥ 2 and a, b, p and q are any non-zero real numbers. The generating function and
Verma K.L.
doaj   +1 more source

Numerical Treatment of Multi-Term Fractional Differential Equations via New Kind of Generalized Chebyshev Polynomials

Fractal and Fractional, 2023
The main aim of this paper is to introduce a new class of orthogonal polynomials that generalizes the class of Chebyshev polynomials of the first kind. Some basic properties of the generalized Chebyshev polynomials and their shifted ones are established.
Waleed Mohamed Abd-Elhameed, Muhammad Mahmoud Alsuyuti   +1 more
doaj   +1 more source

A Systematic Review of Evidence on the Clinical Effectiveness of Surveillance Imaging in Children With Medulloblastoma and Ependymoma

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Surveillance imaging aims to detect tumour relapse before symptoms develop, but it's unclear whether earlier detection of relapse leads to better outcomes in children and young people (CYP) with medulloblastoma and ependymoma. This systematic review aims to identify relevant literature to determine the efficacy of surveillance magnetic ...
Lucy Shepherd, Melissa Taylor, Helen Fulbright, Bob Phillips   +3 more
wiley   +1 more source

Triple Symmetric Sums of Circular Binomial Products

Mathematics
By employing the generating function approach, 16 triple sums for circular binomial products of binomial coefficients are examined. Recurrence relations and generating functions are explicitly determined.
Marta Na Chen, Wenchang Chu
doaj   +1 more source

Supplementary Data from Local Recurrence after Breast-Conserving Therapy in Relation to Gene Expression Patterns in a Large Series of Patients [PDF]

, 2023
Bas Kreike, Hans Halfwerk, Nicola J. Armstrong, Peter Bult, John A. Foekens, Sanne C. Veltkamp, Dimitry S.A. Nuyten, Harry Bartelink, Marc J. van de Vijver   +8 more
openalex   +1 more source

On Quaternion-Gaussian Fibonacci Numbers and Their Properties

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
We study properties of Gaussian Fibonacci numbers. We start with some basic identities. Thereafter, we focus on properties of the quaternions that accept gaussian Fibonacci numbers as coefficients.
Halici Serpil, Cerda-Morales Gamaliel
doaj   +1 more source

Some Families of Differential Equations Associated with Multivariate Hermite Polynomials

Fractal and Fractional, 2023
In this article, the recurrence relations and shift operators for multivariate Hermite polynomials are derived using the factorization approach. Families of differential equations, including differential, integro–differential, and partial differential ...
Badr Saad T. Alkahtani, Ibtehal Alazman, Shahid Ahmad Wani   +2 more
doaj   +1 more source

Characterizing Parental Concerns About Lasting Impacts of Treatment in Children With B‐Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background B‐acute lymphoblastic leukemia (B‐ALL) is the most common pediatric cancer, and while most children in high‐resource settings are cured, therapy carries risks for long‐term toxicities. Understanding parents’ concerns about these late effects is essential to guide anticipatory support and inform evolving therapeutic approaches ...
Kellee N. Parker, Sarah W. Alexander, Lisa M. Jacola, Kimberly A. Buff, Kyobin Hwang, Elham Hashemi, Gregory Stoddard, Lindsay A. Jibb   +7 more
wiley   +1 more source