Results 51 to 60 of about 35,208 (291)

A study on the sum of the squares of generalized Balancing numbers: the sum formula $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$

Journal of Innovative Applied Mathematics and Computational Sciences, 2021
In this paper, closed forms of the sum formulas $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$ for generalized balancing numbers are presented. As special cases, we give sum formulas of balancing, modified Lucas-balancing and Lucas-balancing numbers.
Yüksel Soykan, Erkan Taşdemir, Can Murat Dikmen   +2 more
doaj  

Cracking the Code: Genotype–Phenotype Correlation Models in Sarcoglycanopathies

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Sarcoglycanopathies are among the most severe limb‐girdle muscular dystrophies (LGMD), though milder presentations have been described. These diseases are primarily caused by missense variants, but the limited predictability of their effect on protein maturation, complex formation, and transport has hindered reliable genotype ...
Leonela Luce, Goknur Selen Kocak, José Verdú‐Díaz, Jorge Alonso‐Pérez, Kristl G. Claeys, Tanya Stojkovic, Gorka Fernández‐Eulate, Pascal Laforêt, Najoua Miladi, Filipe Di Pace, Cristiane Araujo Martins Moreno, Edmar Zanoteli, Conrad C. Weihl, Volker Straub, Ana Töpf, Jordi Díaz‐Manera, Sarcoglycan European Cohort Consortium, Adele D′Amico, Adolfo López de Munain, Alicia Alonso‐Jiménez, Ana Camacho‐Salas, Andrea Gangfuß, Andrés Nascimento, Anna Sarkozy, Anneke J. van der Kooi, Arturo Fraga‐Bau, Béla Melegh, Benedikt Schoser, Bjarne Udd, Blaz Koritnik, Carlos Ortez, Chiara Marini Bettolo, Chiara Panicucci, Claudia Weiss, Claudio Bruno, Claudio Semplicini, Cristina Dominguez‐González, Cristina Garrido, David Gómez‐Andrés, Edoardo Malfatti, Elena Pegoraro, Elke De Vos, Francina Munell, Gabriele Dekomien, Giacomo Pietro Comi, Giorgio Tasca, Isabelle Richard, Jan L. De Bleecker, Jana Haberlová, Jesper Helbo Storgaard, Johanna Palmio, John Vissing, Juan Carlos de Leon‐Hernández, Kinga Hadzsiev, Laura Costa‐Comellas, Lea Leonardis, Leroy ten Dam, Lidia González‐Quereda, Luca Bello, Luisa Politano, Manuela Santos, Marianne de Visser, Marie Rohlenová, Matteo Garibaldi, Michela Guglieri, Nicolas Deconinck, Nicoline Løkken, Omar Abdel‐Mannan, Pia Gallano, Roberto Fernández‐Torrón, Ulrike Schara‐Schmidt, Vincenzo Nigro, Vittoria Zangaro   +72 more
wiley   +1 more source

-cobalancing and lucas -cobalancing numbers

, 2021
Bu çalışmada kobalans sayılarının genelleştirilmişi olan -kobalans sayıları ele alınmış ve bu sayılar ile Lucas -kobalans sayılarının genel terimleri elde edilmiştir. Birinci bölümde balans sayıları ve kobalans sayıları hakkında bazı önemli kavramlara ve
Erdem, Alper
core  

Diophantine equations with Lucas and Fibonacci number coefficients [PDF]

Notes on Number Theory and Discrete Mathematics
Fibonacci and Lucas numbers are special number sequences that have been the subject of many studies throughout history due to the relations they provide.
Cemil Karaçam, Alper Vural, Bilal Aytepe, Ferhat Yıldız   +3 more
doaj   +1 more source

Electroencephalographic Normalization as a Biomarker of Clinical Recovery in Down Syndrome Regression Disorder

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Down syndrome regression disorder is a syndrome characterized by subacute loss of cognitive, behavioral, and functional abilities in individuals with Down syndrome. Electroencephalography abnormalities are frequently observed during evaluation, but it remains unclear whether these findings represent a dynamic marker of disease ...
Jonathan D. Santoro, Mackenzie Silverman, Maeve C. Lucas, Mariam M. Yousuf, Samuel T. Otey, Stella V. Gray, Brittany Jordan, Madeline D. Kahan, Latanya D. Agurs, Michelle Van Hirtum Das, Deborah Holder, Devin King, Eileen A. Quinn, Ryan Kammeyer, Michael S. Rafii   +14 more
wiley   +1 more source

Bi-Periodic (p,q)-Fibonacci and Bi-Periodic (p,q)-Lucas Sequences

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
In this paper, we define bi-periodic (p,q)-Fibonacci and bi-periodic (p,q)-Lucas sequences, which generalize Fibonacci type, Lucas type, bi-periodic Fibonacci type and bi-periodic Lucas type sequences, using recurrence relations of (p,q)-Fibonacci and (p,
Yasemin Taşyurdu, Naime Şeyda Türkoğlu   +1 more
doaj   +1 more source

Trajectories of Physical Function in Canadian Children With Juvenile Idiopathic Arthritis

Arthritis Care &Research, EarlyView.
Objective We describe trajectories of physical function in children newly diagnosed with juvenile idiopathic arthritis (JIA) and identify trajectories with persisting functional impairments and associated baseline characteristics. Methods We included patients enrolled in the Canadian Alliance of Pediatric Rheumatology Investigators (CAPRI) Registry ...
Clare Cunningham, Meghan McPherson, Lillian Lim, Roberta A. Berard, Matthew Berkowitz, Jean‐Philippe Proulx‐Gauthier, Brian M. Feldman, Nicole Johnson, Dax G. Rumsey, Heinrike Schmeling, Lori B. Tucker, Thomas Loughin, Kristin M. Houghton, Jaime Guzman, for the Canadian Alliance of Pediatric Rheumatology Investigators (CAPRI) Registry Investigators, David A. Cabral, Gaëlle Chédeville, Ciarán M. Duffy, Kerstin Gerhold, Jaime Guzman, Linda Hiraki, Adam M. Huber, Heinrike Schmeling, Natalie J. Shiff, Lori B. Tucker, Julie Barsalou, Daniah Basodan, Michelle Batthish, Roberta A. Berard, Nicholas Blanchette, Gilles Boire, Roxana Bolaria, Alessandra Bruns, David A. Cabral, Sarah Campillo, Tania Cellucci, Mercedes Chan, Gaëlle Chédeville, Amieleena Chhabra, Julie Couture, Paul Dancey, Jean‐Jacques De Bruycker, Erkan Demirkaya, Muhammed Dhalla, Ciarán M. Duffy, Talal El Tal, Tommy Gerschman, Jaime Guzman, Liane Heale, Julie Herrington, Kristin M. Houghton, Adan M. Huber, Andrea Human, Nicole Johnson, Roman Jurencak, Bianca Lang, Claire LeBlanc, Lillian Lim, Lily S. H. Lim, Nadia Luca, Jeanine McColl, Tara McGrath, Tamara McMillan, Megan McPherson, Paivi Miettunen, Kimberly Morishita, Honyan Ng, Jonathan Park, Jean‐Philippe Proulx‐Gauthier, Johannes Roth, Evelyn Rozenblyum, Dax G. Rumsey, Heinrike Schmeling, Rosie Scuccimarri, Gordon Soon, Rebeka Stevenson, Elizabeth Stringer, Herman Tam, Lori B. Tucker, Marinka Twilt, Ruud H. J. Verstegen, Karen Watanabe Duffy   +81 more
wiley   +1 more source

Fibonacci and Lucas Numbers [PDF]

, 2017
U ovom diplomskom radu dan je uvod u Fibonaccijeve i Lucasove brojeve. U prvom dijelu rada definirali smo Fibonaccijeve i Lucasove brojeve, dokazali različite identitete koji vrijede za Fibonaccijeve brojeve, neke koji vrijede za Lucasove brojeve i ...
Zirdum, Ivona
core  

Discordance Between Patient and Physician Global Assessments in Early Systemic Sclerosis

Arthritis Care &Research, EarlyView.
Objective This study aims to identify factors associated with patient global assessment (PtGA) and physician global assessment (PhGA) and discordance between them in systemic sclerosis (SSc). Methods Data from adults with early SSc (<5 years) from the Collaborative National Quality and Efficacy Registry were included.
Ellen Romich, Alexis Ogdie, Alisa Stephens Shields, Peter A. Merkel, Shervin Assassi, Elana J. Bernstein, Andreea Bujor, Flavia V. Castelino, Lorinda Chung, Luke B. Evnin, Tracy M. Frech, Jessica K. Gordon, Melissa Griffith, Faye N. Hant, Monica L. Harding, Laura K. Hummers, Dinesh Khanna, Kimberly S. Lakin, Dorota J. Lebiedz‐Odrobina, Yiming Luo, Ashima Makol, Maureen D. Mayes, Zsuzsanna H. McMahan, Jerry Molitor, Duncan F. Moore, Julie Paik, Carrie Richardson, Brian Skaug, Ami A. Shah, Ankoor Shah, Virginia Steen, John M. VanBuren, Elizabeth R. Volkmann, Carleigh Zahn, Nora Sandorfi, for the CONQUER Investigators   +35 more
wiley   +1 more source

The Lucas property of a number array

Discrete Mathematics, 2002
Let \(p\) be a prime and \(\alpha\), \(\beta\), \(\gamma\), \(\delta\) be nonnegative integers such that \(0\leq \beta< p\) and \(0\leq\delta< p\). A double integer number array \(N(i,j)\), where \(i\) and \(j\) are nonnegative integers, is said to satisfy the Lucas property, if \(N(\alpha p+\beta, \gamma p+\delta)\equiv N(\alpha, \gamma)N(\beta,\delta)
openaire   +1 more source