Brief Study On A New Family of Analytic Functions by Jamiu Hamzat, Gangadharan Murugusundaramoorthy, Matthew Oluwayemi

“…Furthermore, as a special case, we show that convex functions of order 1/2 are also members of the family $\mathcal{B}(\mu, \beta, \lambda, \theta)$, for $0\leq \mu\leq 1$, $0\leq \beta < 1$, $\lambda\geq 0$ and $|\theta| < \frac{\pi}{2} $. …”
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Algebro-Geometric Solutions for a Discrete Integrable Equation by Mengshuang Tao, Huanhe Dong

“…By constructing the Abel-Jacobi coordinates to straighten the continuous and discrete flows, the Riemann theta functions are proposed. Based on the Riemann theta functions, the algebro-geometric solutions for the discrete integrable systems are obtained.…”
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Electroencephalogram-Based Brain Connectivity Analysis in Prolonged Disorders of Consciousness by Yuzhang Wu, Zhitao Li, Ruowei Qu, Yangang Wang, Zhongzhen Li, Le Wang, Guangrui Zhao, Keke Feng, Yifeng Cheng, Shaoya Yin

“…The Pearson r of the delta band (Z=−6.71, P<0.01), theta band (Z=−15.06, P<0.01), and alpha band (Z=−28.45, P<0.01) were statistically significant. …”
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Global boundedness in a Keller-Segel system with nonlinear indirect signal consumption mechanism by Zihan Zheng, Juan Wang, Liming Cai

“…\end{equation*} $in a smooth and bounded domain $ \Omega\subset\mathbb{R}^{n}(n\geq 1) $ with homogeneous Neumann boundary conditions, where $ \chi, \; \lambda_{1}, \; \lambda_{2}, \; \theta > 0, \; 0 < \alpha\leq\frac{1}{\theta}, \; \beta\geq 2, \; $ $ \psi $, and $ \phi $ are nonlinear functions that satisfy $ \psi(s)\geq a_{0}(s+1)^{r_{1}} $ and $ 0\leq\phi(s)\leq b_{0}s(s+1)^{r_{2}} $ for all $ s\geq 0 $ with $ a_{0}, b_{0} > 0 $ and $ r_{1}, r_{2}\in \mathbb{R}. $ It has been proven that if $ r_{1} > 2r_{2}+1, $ then the problem admits a global and bounded classical solution for some appropriate nonnegative initial data.…”
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Correlation of Visuospatial Ability and EEG Slowing in Patients with Parkinson’s Disease by Dominique Eichelberger, Pasquale Calabrese, Antonia Meyer, Menorca Chaturvedi, Florian Hatz, Peter Fuhr, Ute Gschwandtner

“…Subsequently, for the lower performance, LME analysis showed a significant positive correlation between ROCF score and parietal alpha/theta ratio (b=.59, p=.012) and occipital alpha/theta ratio (b=0.50, p=.030). …”
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Gender-Specific Hippocampal Dysrhythmia and Aberrant Hippocampal and Cortical Excitability in the APPswePS1dE9 Model of Alzheimer’s Disease by Anna Papazoglou, Julien Soos, Andreas Lundt, Carola Wormuth, Varun Raj Ginde, Ralf Müller, Christina Henseler, Karl Broich, Kan Xie, Dan Ehninger, Britta Haenisch, Marco Weiergräber

“…In females, theta (θ) and gamma (γ) power alterations predominated in the inactive state suggesting a reduction in atropine-sensitive type II theta in APPswePS1dE9 animals. …”
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No Modulatory Effects when Stimulating the Right Inferior Frontal Gyrus with Continuous 6 Hz tACS and tRNS on Response Inhibition: A Behavioral Study by Hannah Brauer, Navah Ester Kadish, Anya Pedersen, Michael Siniatchkin, Vera Moliadze

“…After the commission of inhibition errors, theta activity (4–8 Hz) is related to the adaption processes. …”
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Neuronal oscillations and functional connectivity of paced nostril breathing: A high-density EEG study. by Anita B Frohlich, Flavio Frohlich, Miriam Sklerov

“…We found that paced nostril breathing both decreased alpha/mu oscillations over central and parietal areas and increased frontal midline and occipital theta oscillations when comparing to spontaneous breathing. …”
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Global well-posedness and optimal decay rates for the $ n $-D incompressible Boussinesq equations with fractional dissipation and thermal diffusion by Xinli Wang, Haiyang Yu, Tianfeng Wu

“…Firstly, by applying frequency decomposition, we find that $ \Vert (u, \theta) \Vert _{L^{2}(\mathbb{R}^{n})} \rightarrow 0 $, as $ t \rightarrow \infty $. …”
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Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms by David W. Pravica, Njinasoa Randriampiry, Michael J. Spurr

“…These Wμ,λt have all moments vanishing and have a Fourier transform related to theta functions. For low parameter values derived from λ, the connection of the Wμ,λt to the theory of wavelet frames is begun. …”
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Electroacupuncture Treatment Alleviates the Remifentanil-Induced Hyperalgesia by Regulating the Activities of the Ventral Posterior Lateral Nucleus of the Thalamus Neurons in Rats by Hong-Yan Zhao, Ling-Yu Liu, Jie Cai, Yan-Jun Cui, Guo-Gang Xing

“…Moreover, 2 Hz-EA reversed the RF-induced decrease both in PWT and PWL of rats and also abrogated the RF-induced augmentation of the spontaneous neuronal activity and the power spectral density (PSD) of the theta band oscillation in VPL LFP. These results suggested that 2 Hz-EA attenuates the remifentanil-induced hyperalgesia via reducing the excitability of VPL neurons and the low-frequency (theta band) oscillation in VPL LFP.…”
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Early Electrophysiological Disintegration of Hippocampal Neural Networks in a Novel Locus Coeruleus Tau-Seeding Mouse Model of Alzheimer’s Disease by A. Ahnaou, C. Walsh, N. V. Manyakov, S. A. Youssef, W. H. Drinkenburg

“…A sustained leftward shift in the theta peak frequency was found early in the power spectra of hippocampal CA1 networks ipsilateral to the injection site. …”
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Effects of Mental Workload Manipulation on Electroencephalography Spectrum Oscillation and Microstates in Multitasking Environments by Wenbin Li, Shan Cheng, Jing Dai, Yaoming Chang

“…Results The theta‐, alpha‐, and beta‐band powers were higher under the high than under the low mental workload condition. …”
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Analysis of Users’ Neural Responses to Native Advertisements Using Cognitive Indicators and Electroencephalography by Mina Montakhab Madani, Yalda Rahmati Ghofrani, Shahrokh Yousefzadeh Chabok, Rahmat Ali Saberi Haghayegh

“…Results: In the advertisement viewing state compared to the resting state, the average power spectral density (PSD) of theta at F4 decreased from 3.25 to 2.59. The average PSD of beta at F4 decreased from 0.67 to 0.53 and at F7 from 0.89 to 0.75. …”
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Psychometric properties and factor structure of the Persian version of worry questionnaire – Contrast avoidance model by Razieh Javaherirenani, Pantea Ahadianfard, Ahmad Ashouri

“…Additionally, this scale was tested for convergent validity with other scales. The coefficient theta, theta coefficient, and composite reliability were used to calculate the scale’s reliability. …”
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Simultaneous tACS-fMRI reveals state- and frequency-specific modulation of hippocampal-cortical functional connectivity by Max Kaiser, Yuejuan Wang, Sanne Ten Oever, Felix Duecker, Alexander T. Sack, Vincent van de Ven

“…Transcranial alternating current stimulation (tACS) is appealing because it allows oscillatory stimulation to study hippocampal theta (3–8 Hz) activity. We found that tACS administered during functional magnetic resonance imaging yielded a frequency-, mental state- and topologically-specific effect of theta stimulation (but not other frequencies) enhancing right (but not left) hippocampal-cortical connectivity during resting blocks but not during task blocks. …”
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Dorsal hippocampus represents locations to avoid as well as locations to approach during approach-avoidance conflict. by Olivia L Calvin, Matthew T Erickson, Cody J Walters, A David Redish

“…We found decoding of the pseudo-predator's location during HSEs when hesitating in the nest and during theta prior to retreating as the rats approached the pseudo-predator. …”
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Electroencephalography Biomarkers of α5-GABA Positive Allosteric Modulators in Rodents by Frank Mazza, Alexandre Guet-McCreight, Thomas D. Prevot, Taufik Valiante, Etienne Sibille, Etay Hay

“…Results: We showed that α5-PAM specifically decreased theta peak power, whereas diazepam shifted peak power from high to low theta while increasing beta and gamma power. …”
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On the cusp forms of mixed type by Edmundas Gaigalas

“… The base of the space of cusp forms of type (−10, 17, χ) is constructed in the form of the generalized quaternary theta series. …”
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Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity by Weaam Alhejaili, Munirah Alotaibi, Abdelraheem M. Aly

“…Increasing $ {\delta }_{\theta }\&{\delta }_{\mathrm{\Phi }} $ from 0 to 0.2 resulted in a $ 44.1\% $ and $ 48.9\% $ drop in velocity field at C1 and C2, respectively. …”
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