Results 101 to 110 of about 66,960 (267)

Modular relations for the Rogers-Ramanujan-Slater type functions of order fifteen and its applications to partitions [PDF]

Romanian Journal of Mathematics and Computer Science, 2013
In a manuscript of Ramanujan, published with his Lost Notebook [20] there are forty identities involving the Rogers-Ramanujan functions. In this paper, we establish several modular relations involving the Rogers-Ramanujan functions and the Rogers ...
Chandrashekar Adiga, A. Vanitha, Nasser Abdo Saeed Bulkhali   +2 more
doaj  

Rectangle Partitions Generalizing Integer Partitions

Annals of Combinatorics
Abstract In this paper, we introduce a natural geometric extension of the partition function. More precisely, we investigate the problem of counting partitions of a rectangle into rectangular blocks with integer sides. Here, two partitions of a rectangle are indistinguishable if they consist of the same multiset of blocks, their ...
Krystian Gajdzica, Robin Visser, Maciej Zakarczemny   +2 more
openaire   +2 more sources

Evaluation of Digital Technologies for Home‐Based Assessment in People With Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Digital technologies hold promise for transforming healthcare by enhancing personalized treatments and offer valuable opportunities to improve patient care. Here, we evaluated several novel, self‐administered, home‐based, digital endpoints for their association with corresponding conventional standard clinical measures (primary) in ...
Arne Mueller, Vanessa Vallejo, Mónica Povedano Panadés, Orla Hardiman, Véronique Danel‐Brunaud, Senda Ajroud‐Driss, Philippe Couratier, Jeremy Shefner, Anna Gokey, Mike DiCesare, Erin Lennox, Jens Praestgaard, Lucie Brujin, Peggy Allred, Ram Miller   +14 more
wiley   +1 more source

Thalamo‐Lesional Connectivity Signatures of Bilateral Tonic–Clonic Seizures in Focal Cortical Dysplasia‐Related Epilepsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Focal cortical dysplasia (FCD) is the most common etiology of drug‐resistant epilepsy in children. Focal to bilateral tonic–clonic seizures (FBTCS) mark a high risk of drug‐resistant epilepsy and involve thalamocortical circuitry in their generation and propagation.
Hua Xie, Xiaotong Li, Venkata Sita Priyanka Illapani, Leigh N. Sepeta, Jason Schroeder, Chima O. Oluigbo, Madison M. Berl, William D. Gaillard, Nathan T. Cohen   +8 more
wiley   +1 more source

New Onset of Fibromyalgia After Exposure to a Combat Environment: A Longitudinal Cohort Study

Arthritis Care &Research, EarlyView.
Objective Traumatic life events are hypothesized to be triggers for the onset of fibromyalgia. Posttraumatic stress disorder (PTSD) is a common comorbidity of fibromyalgia. However, limited prospective data are available on the development of fibromyalgia after exposure to high‐magnitude stress.
Jay B. Higgs, Willie J. Hale, Casey L. Straud, Jim Mintz, Stacey Young‐McCaughan, Kimberly D. Gomes, Chelsea J. Sterne, Katrina M. Lawrence‐Wolff, Alan J. Bartholomew, Kevin M. Kelly, Douglas M. Maurer, Catherine Vriend, Brett T. Litz, Douglas E. Williamson, Alan L. Peterson, for the STRONG STAR Consortium   +15 more
wiley   +1 more source

Partition Differential Equations and Some Combinatorial Algebraic Structures

Mathematics
Let Λ be the algebra of symmetric functions. We introduce Stirling partitions, factorial partition polynomials, partition differential equations and their corresponding partitions, and partition primitive functions.
Adnan Hashim Abdulwahid
doaj   +1 more source

Developing and Evaluating a Laboratory‐Based Frailty Index for the Prediction of Long‐Term Health Outcomes in Systemic Lupus Erythematosus

Arthritis Care &Research, EarlyView.
Objective We aimed to construct and evaluate the first laboratory‐based frailty index (FI‐Lab) for predicting adverse outcomes in systemic lupus erythematosus (SLE) and to compare its predictive ability to that of an existing clinical FI. Methods We used data from a single‐center prospective cohort of adult patients with SLE whose baseline visit ...
Grace Burns, Samuel D. Searle, Alexandra Legge   +2 more
wiley   +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

Building a Framework for Sexual and Reproductive Health Care in the Rheumatology Context: Content and Approaches

Arthritis Care &Research, EarlyView.
People with systemic autoimmune and rheumatic diseases (SARDs) are at higher risk than the general population of experiencing adverse pregnancy and perinatal outcomes such as preeclampsia, intrauterine growth restriction, and maternal and/or fetal death.
Mehret Birru Talabi, Sonya Borrero
wiley   +1 more source

A New Approach to Understanding Quantum Mechanics: Illustrated Using a Pedagogical Model over ℤ₂

AppliedMath
The new approach to quantum mechanics (QM) is that the mathematics of QM is the linearization of the mathematics of partitions (or equivalence relations) on a set.
David Ellerman
doaj   +1 more source