Results 51 to 60 of about 975,787 (327)

LUCAS NUMBERS TRIANGLE

, 2021
{"references": ["1.\tR. Sivaraman, Number Triangles and Metallic Ratios, International Journal of Engineering and Computer Science, Volume 10, Issue 8, pp. 25365 \u2013 25369. 2.\tR. Sivaraman, Generalized Pascal's Triangle and Metallic Ratios, International Journal of Research, Volume 9, Issue 7, pp. 179 \u2013 184. 3.\tR.
openaire   +2 more sources

Fibonacci numbers and Lucas numbers in graphs

Discrete Applied Mathematics, 2009
AbstractA subset S⊆V(G) is independent if no two vertices of S are adjacent in G. In this paper we study the number of independent sets in graphs with two elementary cycles. In particular we determine the smallest number and the largest number of these sets among n-vertex graphs with two elementary cycles.
Mariusz Startek, Andrzej Włoch, Iwona Włoch   +2 more
openaire   +2 more sources

Implementation beyond the clinic: Community‐driven utilization of research evidence from PC CARES, a suicide prevention program

American Journal of Community Psychology, Volume 70, Issue 3-4, Page 365-378, December 2022., 2022
Abstract While implementation and dissemination of research is a rapidly growing area, critical questions remain about how, why, and under what conditions everyday people integrate and utilize research evidence. This mixed‐methods study investigates how participants of Promoting Community Conversations About Research to End Suicide (PC CARES) make ...
Lauren A. White, Lisa Wexler, Addie Weaver, Roberta Moto, Tanya Kirk, Suzanne Rataj, Lucas Trout, Diane McEachern   +7 more
wiley   +1 more source

Bimetallic Aluminum‐ and Niobium‐Doped MCM‐41 for Efficient Conversion of Biomass‐Derived 2‐Methyltetrahydrofuran to Pentadienes

Angewandte Chemie, Volume 134, Issue 51, December 19, 2022., 2022
The highly selective conversion of biomass‐derived 2‐methyltetrahydrofuran (2‐MTHF) into pentadienes has been achieved over an aluminum and niobium bimetallic atomically doped MCM‐41. The NbV sites enhance the catalytic performance by binding 2‐MTHF. Abstract The production of conjugated C4–C5 dienes from biomass can enable the sustainable synthesis of
Mengtian Fan, Shaojun Xu, Bing An, Alena M. Sheveleva, Alexander Betts, Joseph Hurd, Zhaodong Zhu, Meng He, Dinu Iuga, Longfei Lin, Xinchen Kang, Christopher M. A. Parlett, Floriana Tuna, Eric J. L. McInnes, Luke L. Keenan, Daniel Lee, Martin P. Attfield, Sihai Yang   +17 more
wiley   +2 more sources

Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials

Discrete Dynamics in Nature and Society, 2012
We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci, Mirac Cetin Firengiz, Naim Tuglu   +2 more
doaj   +1 more source

1p36 deletion syndrome: Review and mapping with further characterization of the phenotype, a new cohort of 86 patients

American Journal of Medical Genetics Part A, Volume 191, Issue 2, Page 445-458, February 2023., 2023
Abstract Chromosome 1p36 deletion syndrome (1p36DS) is one of the most common terminal deletion syndromes (incidence between 1/5000 and 1/10,000 live births in the American population), due to a heterozygous deletion of part of the short arm of chromosome 1.
Clémence Jacquin, Emilie Landais, Céline Poirsier, Alexandra Afenjar, Ahmad Akhavi, Nathalie Bednarek, Caroline Bénech, Adeline Bonnard, Damien Bosquet, Lydie Burglen, Patrick Callier, Sandra Chantot‐Bastaraud, Christine Coubes, Charles Coutton, Bruno Delobel, Margaux Descharmes, Jean‐Michel Dupont, Vincent Gatinois, Nicolas Gruchy, Sarah Guterman, Abdelkader Heddar, Lucas Herissant, Delphine Heron, Bertrand Isidor, Pauline Jaeger, Guillaume Jouret, Boris Keren, Paul Kuentz, Cedric Le Caignec, Jonathan Levy, Nathalie Lopez, Zoe Manssens, Dominique Martin‐Coignard, Isabelle Marey, Cyril Mignot, Chantal Missirian, Céline Pebrel‐Richard, Lucile Pinson, Jacques Puechberty, Sylvia Redon, Damien Sanlaville, Marta Spodenkiewicz, Anne‐Claude Tabet, Alain Verloes, Gaelle Vieville, Catherine Yardin, François Vialard, Martine Doco‐Fenzy   +47 more
wiley   +1 more source

Interesting Explicit Expressions of Determinants and Inverse Matrices for Foeplitz and Loeplitz Matrices

Mathematics, 2019
Foeplitz and Loeplitz matrices are Toeplitz matrices with entries being Fibonacci and Lucas numbers, respectively. In this paper, explicit expressions of determinants and inverse matrices of Foeplitz and Loeplitz matrices are studied.
Zhaolin Jiang, Weiping Wang, Yanpeng Zheng, Baishuai Zuo, Bei Niu   +4 more
doaj   +1 more source

Clinical overview on RASopathies

American Journal of Medical Genetics Part C: Seminars in Medical Genetics, Volume 190, Issue 4, Page 414-424, December 2022., 2022
Abstract RASopathies comprise a group of clinically overlapping developmental disorders caused by genetic variations affecting components or modulators of the RAS‐MAPK signaling cascade, which lead to dysregulation of signal flow through this pathway.
Martin Zenker
wiley   +1 more source

The Third Order Jacobsthal Octonions: Some Combinatorial Properties

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways.
Cerda-Morales Gamaliel
doaj   +1 more source

Bernoulli Numbers, Wolstenholme's Theorem, and p^5 Variations of Lucas' Theorem

, 2006
In this note we shall improve some congruences of D.F. Bailey [Two p^3 variations of Lucas' Theorem, JNT 35(1990), pp. 208-215] to higher prime power moduli, by studying the relation between irregular pairs of the form (p,p-3) and refined version of ...
Bailey, Buhler, Gardiner, Glaisher, Hardy, Ji, Jianqiang Zhao, Kazandzidis, Kazandzidis, Lehmer, Zhao   +10 more
core   +2 more sources