Results 71 to 80 of about 9,522 (300)

Colored Partitions and the Fibonacci Sequence

Trends in Computational and Applied Mathematics, 2006
We present interesting combinatorial interpretations for the Fibonacci numbers in terms of colored partitions obtained by using finite versions of two identities of the Rogers-Ramanujan type. New formula for the Fibonacci numbers is also given.
J.P.O. Santos, M. Ivkovic
doaj   +1 more source

Measurable Residual Disease Monitoring During Treatment for Pediatric Acute Myeloid Leukemia in First Relapse

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Survival after relapse in pediatric acute myeloid leukemia (AML) remains poor, highlighting the critical importance of identifying prognostic factors to guide optimal relapse management. Methods We investigated the prognostic impact of multiparameter flow cytometry (MFC) measurable residual disease (MRD) in 188 patients with first ...
Camilla Poulsen, Kristian Juul Sandahl, Lene Karlsson, Jonas Abrahamsson, Nira Arad‐Cohen, Daniel Cheuk, Barbara De Moerloose, Linda Fogelstrand, Jose Maria Fernandez Navarro, Bianca F. Goemans, Kirsi Jahnukainen, Gertjan Kaspers, Zhanna Kovalova, Monica Cheng Munthe‐Kaas, Ulrika Norén‐Nyström, Josefine Palle, Ramune Pasauliene, Cornelis Jan Pronk, Kadri Saks, Anne Tierens, Henrik Hasle, Kristian Løvvik Juul‐Dam   +21 more
wiley   +1 more source

On a Combinatorial Result Related to the Rogers-Ramanujan Identities

Trends in Computational and Applied Mathematics, 2000
We give a generating function for partitions with different conditions and a combinatorial proof for a bijection between these partitions and another class of partitions.
J.P.O. Santos, P. Mondek
doaj   +1 more source

Survival by Race and Ethnicity in Children and Adolescents/Young Adults With Relapsed/Refractory Hodgkin Lymphoma: A Pooled Analysis of Children's Oncology Group Trials

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Despite 5‐year survival rates of over 90% among children and adolescents/young adults (CAYAs) with classic Hodgkin lymphoma (cHL), 15%–20% relapse after frontline therapy. Prior analysis of frontline Children's Oncology Group (COG) clinical trials demonstrated that, despite similar rates of relapse, non‐Hispanic Black (NHB) and ...
Mallorie B. Heneghan, Lindsay A. Renfro, Yue Wu, Katia M. Crisler, Erin Marcotte, Tanya Trippett, Terzah Horton, Bradford S. Hoppe, Frank G. Keller, Chris Forlenza, Cindy Schwartz, Kara M. Kelly, Peter D. Cole, Sharon M. Castellino, Justine M. Kahn   +14 more
wiley   +1 more source

Some congruences related to harmonic numbers and the terms of the second order sequences [PDF]

Mathematica Moravica, 2016
In this paper, with helps of some combinatorial identities, we investigate various basic congruences involving harmonic numbers and terms of the second order sequences {Ukn} and {Vkn}.
Omur Nese, Koparal Sibel
doaj  

Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series

Journal of Inequalities and Applications, 2019
The main purpose and motivation of this work is to investigate and provide some new identities, inequalities and relations for combinatorial numbers and polynomials, and for Peters type polynomials with the help of their generating functions. The results
Yilmaz Simsek, Ji Suk So
doaj   +1 more source

Childhood Acute Lymphoblastic Leukemia Survival in Western Kenya: Reduction in Early Deaths and Treatment Abandonment

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background An earlier study on children diagnosed with acute lymphoblastic leukemia (ALL) at Moi Teaching and Referral Hospital (MTRH) in Kenya reported a low event‐free survival (EFS), excess treatment abandonment, and high induction mortality.
Gilbert Olbara, George Bogonko, Festus Njuguna, Sandra Langat, Martha Kipngetich, Dennis Njenga, Gertjan Johannes Kaspers, Terry Allen Vik   +7 more
wiley   +1 more source

Tiling Models for Palindromic and n-Colored Compositions With 1 s and 3 s

Journal of Mathematics
In this work, we explore compositions of positive integers into parts consisting of 1 and 3 s, highlighting their close connection to the Narayana numbers.
Orhan Dişkaya, Bahar Kuloğlu, Hayrullah Özimamoğlu, Ahmet Kaya, Hamza Menken   +4 more
doaj   +1 more source

Binomial Coefficients and Identities in Combinatorial Geometric Series [PDF]

The coefficient of each term in combinatorial geometric series refers to a binomial coefficient. This paper discusses the binomial coefficients in combinatorial geometric series and presents its binomial expansions and combinatorial ...
Chinnaraji Annamalai
core   +1 more source

Combinatorial Proofs of Some Identities for Nonregular Continued Fractions [PDF]

, 2020
A combinatorial interpretation of nonregular continued fractions is studied. Using a modification of a tiling technique due to Benjamin and Quinn, combinatorial proofs of some identities for nonregular continued fractions are ...
Oranit Panprasitwech
core