The Hamiltonian Structure and Algebrogeometric Solution of a 1 + 1-Dimensional Coupled Equations by Hongfei Pan, Tiecheng Xia

“…The Abel-Jacobi coordinates are introduced to straighten the flows, from which the algebrogeometric solutions of the coupled 1 + 1-dimensional equations are obtained in terms of the Riemann theta functions.…”
Get full text

Stability on 3D Boussinesq system with mixed partial dissipation by Lin Hongxia, Liu Sen, Guo Xiaochuan, You Ruiqi

“…Then the exponential decay rates for the oscillations u˜\widetilde{u} and θ\theta in H1(Ω){H}^{1}\left(\Omega ) and the homogeneous Sobolev space Hv2˙(Ω)\dot{{H}_{v}^{2}}\left(\Omega ) are also shown. …”
Get full text

L’expression de la transitivité verbale en agni-sanvi, langue kwa de Côte d’Ivoire by Foba Antoine KAKOU

“…Nous postulons en accord avec Nom Chomsky (1957) que cette propriété est inscrite dans sa thêta grille. Partant, il apparait évident que la question de la transitivité des verbes doit être analysée dans les limites de la morphosyntaxe de chaque langue. …”
Get full text

Local newforms for generic representations of unramified even unitary groups I: Even conductor case by Hiraku Atobe

“…To do this, we use the local Gan–Gross–Prasad conjecture, the local Rankin–Selberg integrals and the local theta correspondence.…”
Get full text

Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation by Wenjuan Rui, Yufeng Zhang

“…In the meantime, quasi-periodic wave solutions for the equation are obtained by using the Riemann theta function. The asymptotic properties of one-periodic wave solution and two-periodic wave solutions are also established, respectively.…”
Get full text

Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation by Zhonglong Zhao, Yufeng Zhang, Tiecheng Xia

“…Based on a general Riemann theta function and Hirota’s bilinear forms, we devise a straightforward way to explicitly construct double periodic wave solution of (2+1)-dimensional nonlinear partial differential equation. …”
Get full text

EEG alpha/beta features as a biomarker for quantifying pain in patients with lumbar disk herniation by Rumei Li, Wanqi Shao, Shumei Zhao, Lingli Wang, Chao Yu, Lanying Liu, Kuiying Yin

“…Alpha accounted for a significantly higher of the four regions, while theta in the frontal, occipital and beta in the central were significantly lower. …”
Get full text

Efectividad y Modificaciones Neurofisiológicas de la Reestructuración Neurocognitiva by Elisa A. Laconich

“…Se compararon los resultados del EEGC en ambos abordajes terapéuticos, teniendo en cuenta la presencia de ondas theta y el bajo voltaje en zonas frontales y temporales.…”
Get full text

AT et la sémantique des prépositions by Dominique Boulonnais

“…This paper examines the semantics of AT in English, with a view to accounting for the way prepositional constructions are learned in a usage-based approach to language.Prepositions in their primary uses are shown to be both case and theta-role assigners, whose distribution in language use is semantically determined by their core value. …”
Get full text

Low-Intensity Transcranial Ultrasound Stimulation Inhibits Epileptic Seizures in Motor Cortex by Modulating Hippocampus Neural Activity by Na Pang, Qianqian Wang, Jiamin Pei, Hailin Zhang, Yi Yuan, Jiaqing Yan

“…The results showed that TUS: 1) reduced the amplitude and the strength of the <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\theta } $ </tex-math></inline-formula> frequency band in LFPs in the hippocampus and M1; 2) decreased the coupling strength of the <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\delta }$ </tex-math></inline-formula> - <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\gamma } $ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\theta } $ </tex-math></inline-formula> - <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\gamma }$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\alpha } $ </tex-math></inline-formula> - <inline-formula> <tex-math notation="LaTeX">$\boldsymbol {\gamma } $ </tex-math></inline-formula> frequency bands in the hippocampus and M1; and 3) weakened the correlation of neural activity between the hippocampus and M1. …”
Get full text

Positive energy density in topologically charged exponential wormholes and Regge–Wheeler potential by Faizuddin Ahmed, Jaydeep Goswami, Abdelmalek Bouzenada

“…Abstract In this paper, we investigate a series of topologically charged exponential traversable wormhole models described by the standard metric form: $$\begin{aligned}ds^2=-\mathcal {A}^2(r)\,dt^2+\mathcal {B}^2(r)\,\left[ \frac{dr^2}{\alpha ^2}+r^2\,(d\theta ^2+\sin ^2\theta \,d\phi ^2)\right] ,\end{aligned}$$ d s 2 = - A 2 ( r ) d t 2 + B 2 ( r ) d r 2 α 2 + r 2 ( d θ 2 + sin 2 θ d ϕ 2 ) , where $$0< \alpha < 1$$ 0 < α < 1 is the global monopole chare parameter. …”
Get full text

Aging Alters Olfactory Bulb Network Oscillations and Connectivity: Relevance for Aging-Related Neurodegeneration Studies by A. Ahnaou, D. Rodriguez-Manrique, S. Embrechts, R. Biermans, N. V. Manyakov, S. A. Youssef, W. H. I. M. Drinkenburg

“…Next, local field potential (LFP) spectra, phase-amplitude theta-gamma coupling (PAC), and connectivity through coherence were assessed in the olfactory bulb, frontal and entorhinal cortices, CA1, and amygdala circuits. …”
Get full text

Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation by Huanhe Dong, Yanfeng Zhang, Yongfeng Zhang, Baoshu Yin

“…We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials, and a general Riemann theta function in terms of the Hirota method. As applications, we solve the periodic wave solution of BLMP equation and it can be reduced to soliton solution via asymptotic analysis when the value of p is 5.…”
Get full text

Infinite Product Representation for the Szegö Kernel for an Annulus by Nuraddeen S. Gafai, Ali H. M. Murid, Nur H. A. A. Wahid

“…Its connection with the basic gamma function and modified Jacobi theta function is also presented. The results are extended to the Szegö kernel for general annulus and weighted Szegö kernel. …”
Get full text

Algebro-Geometric Solutions of the Coupled Chaffee-Infante Reaction Diffusion Hierarchy by Chao Yue, Tiecheng Xia

“…Furthermore, the theory of the trigonal curve and the properties of the three kinds of Abel differentials are applied to obtain the explicit theta function representations of the Baker-Akhiezer function and the meromorphic functions. …”
Get full text

Are neurasthenia and depression the same disease entity? An electroencephalography study by Ge Dang, Lin Zhu, Chongyuan Lian, Silin Zeng, Xue Shi, Zian Pei, Xiaoyong Lan, Jian Qing Shi, Nan Yan, Yi Guo, Xiaolin Su

“…The essential feature contributing to the model was the theta connectivity. Limitations This is a retrospective study, and medical records may not include all the details of a patient’s syndrome. …”
Get full text

A Torelli theorem for graphs via quasistable divisors by Alex Abreu, Marco Pacini

“…The Torelli theorem establishes that the Jacobian of a smooth projective curve, together with the polarization provided by the theta divisor, fully characterizes the curve. In the case of nodal curves, there exists a concept known as fine compactified Jacobian. …”
Get full text

A Simple Epidemic Model with Surprising Dynamics by F. Berezovskaya, G. Karev, Baojun Song, Carlos Castillo-Chavez

“…Four re-parameterized quantities the basicdemographic reproductive number ($\R_d$), the basic epidemiologicalreproductive number ($\R_0$), the ratio ($\nu$) between the averagelife spans of susceptible and infective class, and the relativefecundity of infectives ($\theta$), are utilized in qualitativeanalysis. Mathematically, non-analytic vector fields are handled byblow-up transformations to carry out a complete and global dynamicalanalysis. …”
Get full text

The Convergence and MS Stability of Exponential Euler Method for Semilinear Stochastic Differential Equations by Chunmei Shi, Yu Xiao, Chiping Zhang

“…A mean-square linear stability analysis shows that the stability region of exponential Euler method contains that of EM method and stochastic Theta method (0≤𝜃<1) and also contains that of the scale linear SDE, that is, exponential Euler method is analogue mean-square A-stable. …”
Get full text

Migraine with Prolonged Aura: Correlation of Clinical and EEG Features by A. O. Ogunyemi

“…The EEG abnormalities were non-epileptiform and consisted of focal delta slow waves or theta slow waves. The EEG abnormalities showed good correlation with the patients' aura symptoms and resolved when the patients became symptom free. …”
Get full text