Results 51 to 60 of about 9,522 (300)
Some Properties of the (p,q)-Fibonacci and (p,q)-Lucas Polynomials
Journal of Applied Mathematics, 2012 Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Many theorems can be easily proved by Riordan arrays. In this paper we consider the Pascal matrix and define a new generalization of Fibonacci polynomials ...
GwangYeon Lee, Mustafa Asci
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei +17 more
wiley +1 more source
Combinatorial Explanations of Known Harmonic Identities [PDF]
, 2001 We seek to discover combinatorial explanations of known identities involving harmonic numbers. Harmonic numbers do not readily lend themselves to combinatorial interpretation, since they are sums of fractions, and combinatorial arguments involve counting
Preston, Greg
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Personalized Zebrafish Models for Fusion‐Positive Pediatric Sarcomas
Pediatric Blood &Cancer, EarlyView.ABSTRACT Clinical sequencing efforts have revolutionized our approaches to categorizing pediatric cancers in real time. This has dramatically improved our ability to profile pediatric tumors, identify actionable vulnerabilities, and influence clinical care.
Lisa H. Hall +2 more
wiley +1 more source
Lerch-harmonic numbers related to Lerch transcendent
Mathematical and Computer Modelling of Dynamical Systems, 2023 Harmonic numbers and generalized harmonic numbers have been studied in connection with combinatorial problems, many expressions involving special functions in analytic number theory and analysis of algorithms.
Taekyun Kim +3 more
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USING COMBINATORIAL APPROACH TO IMPROVE STUDENTS’LEARNING OF THE DISTRIBUTIVE LAW AND MULTIPLICATIVE IDENTITIES [PDF]
, 2012 [[abstract]]This article reports an alternative approach, called the combinatorial model, to learning multiplicative identities, and investigates the effects of implementing results for this alternative approach.
Tsai, Yu-Ling; Chang, Ching-Kuch
core
The Role of “Adult‐Onset” Cancer Predisposition Genes in Pediatric Cancer: A Comprehensive Review
Pediatric Blood &Cancer, EarlyView.ABSTRACT Current literature estimates that 10% of pediatric cancers are caused by pathogenic or likely pathogenic (P/LP) germline variants in cancer predisposition genes (CPGs). Variants in CPGs thought to increase cancer risk exclusively during adulthood are referred to as “adult‐onset” CPGs (aoCPGs).
Maria Rozo +5 more
wiley +1 more source
New combinatorial interpretations of two analytic identities [PDF]
, 1989 Two generalized partition theorems involving partitions with " n + 1 n + 1 copies of n n " and " n + 2 n + 2 copies of n n ...
A. K. Agarwal
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Pediatric bone sarcoma patients and survivors may experience psychosocial challenges related to childhood cancer after their intensive, body‐altering treatment. This cross‐sectional study aimed to evaluate generic and survivor‐specific psychosocial outcomes in a national cohort of pediatric bone sarcoma patients and survivors, and ...
Hinke van der Hoek +14 more
wiley +1 more source
Human and constructive proof of combinatorial identities: an example from Romik [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 It has become customary to prove binomial identities by means of the method for automated proofs as developed by Petkovšek, Wilf and Zeilberger. In this paper, we wish to emphasize the role of "human'' and constructive proofs in contrast with the ...
D. Merlini, R. Sprugnoli, M. C. Verri
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