Results 61 to 70 of about 10,632,527 (346)

Some Modular Relations Analogues to the Ramanujan’s Forty Identities with Its Applications to Partitions

Axioms, 2013
Recently, the authors have established a large class of modular relations involving the Rogers-Ramanujan type functions J(q) and K(q) of order ten. In this paper, we establish further modular relations connecting these two functions with Rogers-Ramanujan
Nasser Abdo Saeed Bulkhali, Chandrashekar Adiga   +1 more
doaj   +1 more source

The Case of a 28‐Year‐Old Woman With Medically Refractory Focal Epilepsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT We present the case of a 28‐year‐old right‐handed woman with medically refractory focal epilepsy. Her seizure semiology and electroencephalography (EEG) indicated a seizure onset zone in the right central‐parietal area. However, both MRI and PET scans were unremarkable, showing no focal lesions or areas of altered metabolism.
Rishi Sharma, Ilo Leppik, Thomas Henry, Thaddeus Walczak, Sima Patel, Robert McGovern   +5 more
wiley   +1 more source

Multirank and classical theta functions [PDF]

, 2016
Multiranks and new rank/crank analogs for a variety of partitions are given, so as to imply combinatorially some arithmetic properties enjoyed by these types of partitions.
Shishuo Fu, Dazhao Tang
semanticscholar   +1 more source

Neuroinflammation in GAD65 Antibody‐Associated Epilepsy Measured Using [18F]DPA‐714 PET/MRI

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT The timing for initiating immunotherapy in patients with glutamic acid decarboxylase 65 (GAD65) antibody‐associated epilepsy is a challenge. We used the translocator protein radioligand [18F]DPA‐714 and PET to evaluate brain microglial activation.
Jingjing Chen, Yuying Zhang, Heyu Zhang, Jinming Zhang, Ningning Wang, Xintong Guo, Yicong Liu, Yue Liu, Xiangsong Zhang, Ziyi Chen, Guanzhong Ni   +10 more
wiley   +1 more source

Quantum mock modular forms arising from eta–theta functions [PDF]

, 2016
In 2013, Lemke Oliver classified all eta-quotients which are theta functions. In this paper, we unify the eta–theta functions by constructing mock modular forms from the eta–theta functions with even characters, such that the shadows of these mock ...
A. Folsom, S. Garthwaite, Soon-Yi Kang, H. Swisher, Stephanie Treneer   +4 more
semanticscholar   +1 more source

Effectiveness and Safety of Baricitinib for Juvenile Idiopathic Arthritis–Associated Uveitis or Chronic Anterior Antinuclear Antibody–Positive Uveitis

Arthritis Care &Research, EarlyView.
Objective To evaluate the efficacy and safety of baricitinib in pediatric patients with active juvenile idiopathic arthritis–associated uveitis (JIA‐U) or chronic anterior antinuclear antibody–positive uveitis, who had an inadequate response to methotrexate (MTX) or biologic disease‐modifying antirheumatic drugs (bDMARDs).
Athimalaipet V. Ramanan, Catherine M. Guly, Gabriele Simonini, Stuart Y. Keller, Priyanka Sen, Thorsten Holzkaemper, Joana Araújo, Pierre Quartier   +7 more
wiley   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

Some congruences for 3-component multipartitions

Open Mathematics, 2016
Let p3(n) denote the number of 3-component multipartitions of n. Recently, using a 3-dissection formula for the generating function of p3(n), Baruah and Ojah proved that for n ≥ 0, p3(9n + 5) ≡ 0 (mod 33) and p3 (9n + 8) ≡ 0 (mod 34).
Zhao Tao Yan, Jin Lily J., Gu C.
doaj   +1 more source

Scattering diagrams, theta functions, and refined tropical curve counts [PDF]

Journal of the London Mathematical Society, 2015
In the Gross–Siebert mirror symmetry program, certain enumerations of tropical disks are encoded in combinatorial objects called scattering diagrams and broken lines.
Travis Mandel
semanticscholar   +1 more source

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source