Results 51 to 60 of about 198,020 (274)
Journal of Applied Mathematics, 2013 By employing Hirota bilinear method, we mainly discuss the (3+1)-dimensional potential-YTSF equation and discrete KP equation. For the former, we use the linear superposition principle to get its N exponential wave solutions.
Yan Wang, Zhenhui Wang
doaj +1 more source
Partition Identities for Ramanujan's Third Order Mock Theta Functions
, 2010 We find two involutions on partitions that lead to partition identities for Ramanujan's third order mock theta functions $\phi(-q)$ and $\psi(-q)$. We also give an involution for Fine's partition identity on the mock theta function f(q).
Chen, William Y. C. +2 more
core +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Super‐Refractory Status Epilepticus (SRSE) is a rare, life‐threatening neurological emergency with unclear etiology in many cases. Mitochondrial dysfunction, often due to disease‐causing genetic variants, is increasingly recognized as a cause, with each gene producing distinct pathophysiological mechanisms.
Pouria Mohammadi +2 more
wiley +1 more source
Theta-functions for indefinite polarizations
, 2003 We propose a generalization of the classical theta function to higher cohomology of the polarization line bundle on a family of complex tori with positive index.
Bershadsky M. +6 more
core +2 more sources
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 +10 more
wiley +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Emerging evidence suggests that low‐frequency neural oscillations are dynamically regulated by consciousness levels, with the recovery of low cortical activity potentially serving as a neurophysiological substrate for conscious emergence. Targeted enhancement of these low‐frequency rhythms in patients with disorders of consciousness
Chuan Xu +10 more
wiley +1 more source
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 +7 more
wiley +1 more source
Normal forms for Kummer surfaces
, 2019 We determine normal forms for the Kummer surfaces associated with abelian surfaces of polarization of type $(1,1)$, $(1,2)$, $(2,2)$, $(2,4)$, and $(1,4)$.
Clingher, Adrian, Malmendier, Andreas
core +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 +2 more
wiley +1 more source
Theta function identities involving fourth power [PDF]
Notes on Number Theory and Discrete MathematicsOn page 241 of his Second Notebook, Ramanujan recorded one of his theta function identity, which involves the ratio of the fourth power of theta functions with respect to ψ(q). In this article, we give a new proof for this theta function identity.
Praveenkumar, Siddaraju, R. Rangarajan
doaj +1 more source