Some theorems on the explicit evaluation of Ramanujan's theta-functions by Nayandeep Deka Baruah, P. Bhattacharyya

“…In this note, we give alternative proofs of some of these identities of theta-functions recorded by Ramanujan in his notebooks and deduce some formulas for the explicit evaluation of his theta-functions in terms of Weber-Ramanujan class invariants.…”
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Theta Oscillations and Reactivity of Hippocampal Stratum Oriens Neurons by Valentina F. Kitchigina

“…The supposition was advanced that the neuronal theta rhythmicity is the key mode of signal selection at the hippocampal level. …”
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Distinctive Delta and Theta Responses in Deductive and Probabilistic Reasoning by Emir Faruk Sevim, Yasin Yildirim, Esra Ünsal, Esra Dalmizrak, Bahar Güntekin

“…We then analyzed event‐related delta and theta power and phase‐locking induced under two different conditions. …”
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Theta function identities from optical neural network transformations by E. Elizalde, A. Romeo

Subjects: “…Jacobi theta functions…”
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Theta Cone Metric Spaces and Some Fixed Point Theorems by Sahar Mohamed Ali Abou Bakr

“…This paper introduces the concept of the theta cone metric, studies its various topological properties, and gives some examples of it. …”
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Omega, Sadhana, Theta, and PI Polynomials of Double Benzonoid Chain by Fozia Bashir Farooq, Saima Parveen, Nadeem Ul Hassan Awan, Rakotondrajao Fanja

“…The current paper aims to calculate four polynomials for double benzenoid chains, Sadhana, omega, theta, and Padmakar–Ivan (PI). The edge-cut method is used to derive analytical closed expressions for these polynomials.…”
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THrombosis AETiology of Aviation-Related Travel: The THETA θ study by B F Jacobson, S Louw, E Schapkaitz, F Laher

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Mania triggered by intermittent theta burst stimulation—A case study by Sujita Kumar Kar, Amit Singh, Abhay Narayan Dwivedi

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Alpha and Theta Oscillations Associated With Behavioral Phenotypes of Pain–Attention Interaction by Nikou Kelardashti, Benjamin T. Dunkley, Rima El‐Sayed, Vaidhehi Veena Sanmugananthan, Junseok Andrew Kim, Natalie Rae Osborne, Joshua C. Cheng, Anton Rogachov, Rachael L. Bosma, Ariana E. Besik, Karen Deborah Davis

“…This paper aims to examine the brain–behavior relationship between alpha and theta oscillations within nodes of the DPC and pain–attention phenotypes. …”
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Effects of a periodic intermittent theta burst stimulation in Alzheimer’s disease by Yue Wu, Lu Wang, Kai Wang, Shanshan Zhou, Pan Wu, Yibing Yan, Ling Wei, Bensheng Qiu, Yanghua Tian, Zhi Geng, Xingqi Wu, Panpan Hu, Guixian Xiao, Gongjun Ji, Hesheng Liu

“…Background Previous studies have demonstrated that excitatory repetitive transcranial magnetic stimulation (rTMS) can improve the cognitive function of patients with Alzheimer’s disease (AD). Intermittent theta burst stimulation (iTBS) is a novel excitatory rTMS protocol for brain activity stimulation with the ability to induce long-term potentiation-like plasticity and represents a promising treatment for AD. …”
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Some New Explicit Values of Quotients of Ramanujan’s Theta Functions and Continued Fractions by Nipen Saikia

“…We evaluate some new explicit values of quotients of Ramanujan’s theta functions and use them to find explicit values of Ramanujan’s continued fractions.…”
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Smooth Wavelet Approximations of Truncated Legendre Polynomials via the Jacobi Theta Function by David W. Pravica, Njinasoa Randriampiry, Michael J. Spurr

“…They are shown to be obtainable from the Jacobi theta function and to satisfy recursion relations and multiplicatively advanced differential equations (MADEs) that are analogues of the recursion relations and ODEs satisfied by the nth degree Legendre polynomials. …”
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Modulation of Conflict Processing by Theta-Range tACS over the Dorsolateral Prefrontal Cortex by Albert Lehr, Niklas Henneberg, Tarana Nigam, Walter Paulus, Andrea Antal

“…Behavioral response conflict arises in the color-word Stroop task and triggers the cognitive control network. Midfrontal theta-band oscillations correlate with adaptive control mechanisms during and after conflict resolution. …”
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Modulation of Sustained Attention by Theta-tACS over the Lateral and Medial Frontal Cortices by Jinwen Wei, Zhiguo Zhang, Ziqing Yao, Dong Ming, Peng Zhou

“…Theta oscillations over the posterior medial frontal cortex (pMFC) and lateral prefrontal cortex (LPFC) play vital roles in sustained attention. …”
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Continuous theta-burst stimulation demonstrates language-network-specific causal effects on syntactic processing by Chenyang Gao, Junjie Wu, Yao Cheng, Yuming Ke, Xingfang Qu, Mingchuan Yang, Gesa Hartwigsen, Luyao Chen

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Theta Burst Stimulation Enhances Connectivity of the Dorsal Attention Network in Young Healthy Subjects: An Exploratory Study by Lubomira Anderkova, Dominik Pizem, Patricia Klobusiakova, Martin Gajdos, Eva Koritakova, Irena Rektorova

“…We examined effects of theta burst stimulation (TBS) applied over two distinct cortical areas (the right inferior frontal gyrus and the left superior parietal lobule) on the Stroop task performance in 20 young healthy subjects. …”
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Relationship between regional relative theta power and amyloid deposition in mild cognitive impairment: an exploratory study by Jaesub Park, Jaesub Park, Woo Jung Kim, Woo Jung Kim, Han Wool Jung, Han Wool Jung, Jae-Jin Kim, Jae-Jin Kim, Jin Young Park, Jin Young Park, Jin Young Park

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White Matter Biomarkers Associated with Motor Change in Individuals with Stroke: A Continuous Theta Burst Stimulation Study by K. P. Wadden, S. Peters, M. R. Borich, J. L. Neva, K. S. Hayward, C. S. Mang, N. J. Snow, K. E. Brown, T. S. Woodward, S. K. Meehan, L. A. Boyd

“…Continuous theta burst stimulation (cTBS) is a form of noninvasive repetitive brain stimulation that, when delivered over the contralesional hemisphere, can influence the excitability of the ipsilesional hemisphere in individuals with stroke. cTBS applied prior to skilled motor practice interventions may augment motor learning; however, there is a high degree of variability in individual response to this intervention. …”
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Event segmentation in ADHD: neglect of social information and deviant theta activity point to a mechanism underlying ADHD by Christian Beste, Veit Roessner, Astrid Prochnow, Xianzhen Zhou, Foroogh Ghorbani, Bernhard Hommel

“…This divergence was accompanied by differences in EEG theta band activity and a different effective connectivity network architecture at the source level. …”
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On Mean Square Stability and Dissipativity of Split-Step Theta Method for Nonlinear Neutral Stochastic Delay Differential Equations by Haiyan Yuan, Jihong Shen, Cheng Song

“…A split-step theta (SST) method is introduced and used to solve the nonlinear neutral stochastic delay differential equations (NSDDEs). …”
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