Correlators in two rainbow tensor and complex multi-matrix models by Bei Kang, Lu-Yao Wang, Ke Wu, Wei-Zhong Zhao

“…Abstract We construct two rainbow tensor models with multi-tensors of rank-3 and present their W-representations. …”
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Gravitational-wave effects in the most general vector–tensor theory by Yu-Qi Dong, Xiao-Bin Lai, Yu-Qiang Liu, Yu-Xiao Liu

“…Using this framework, we present the explicit expression for the effective energy-momentum tensor of gravitational waves in the most general second-order vector–tensor theory and perform a complete analysis of their polarization modes.…”
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Accelerated diffusion tensor imaging with self-supervision and fine-tuning by Phillip Martin, Diego Martin, Maria Altbach, Ali Bilgin

“…Experiments using Human Connectome Project data show that SSDLFT outperforms traditional methods and other DL approaches in qualitative and quantitative assessments of DWI reconstructions and tensor metrics. SSDLFT’s ability to maintain high performance with fewer training subjects and DWIs presents a significant advancement, enhancing DTI’s practical applications in clinical and research settings.…”
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TensorFlow-Native Implementation for Crack Detection in Concrete Structures by Ayebare, Memory, Chavula, Petros, Mugisha, Simon, Byamukama, Willbroad

“…This paper presents a TensorFlow-native implementation for automated crack detection in concrete structures, addressing the critical need for efficient and objective infrastructure monitoring. …”
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Decoding the Tensor Product of MLD Codes and Applications for Code Cryptosystems by Vladimir Mikhailovich Deundyak, Yury Vladimirovich Kosolapov, Evgeniy Andreevich Leluk

“…In this connection, in the present paper it is proposed to use the tensor product \( C_1 \otimes C_2 \) of group \(\textrm{MLD}\) codes \( C_1 \) and \( C_2 \) in a McEliece-type cryptosystem. …”
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Three-Dimensional Green Tensor of One-Dimensional Hexagonal Quasicrystals by Markus Lazar, Thomas Michelitsch, Eleni Agiasofitou

“…The 10 independent components of the obtained <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>4</mn><mo>×</mo><mn>4</mn></mrow></semantics></math></inline-formula> Green tensor are numerically presented in contour plots, revealing features of anisotropy as well as the interesting result that the phason component of the Green tensor has the strongest contribution in comparison with all the other components. …”
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A method of calculation of specific conductivity tensor of a anisotropic media by Vytautas Kleiza, Jonas Kleiza

“… The article presents a method for calculating specific electrical conductivity tensor. …”
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Generalized Sasakian-space-forms with a contact conformal curvature tensor by Sudhakar Kumar Chaubey, Sunil Yadav, Mehmet Akif Akyol

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Conditions to Flatten the Curvature Tensor Associated with a Symmetric Affine Connection by Esperanza Cuellar, Ana C. Silva, David A. Lizárraga

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On pseudo-projective curvature tensor of sasakian manifold admitting zamkovoy connection by Abhijit Mandal, Ashoke Das

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Two-particle calculations with quantics tensor trains: Solving the parquet equations by Stefan Rohshap, Marc K. Ritter, Hiroshi Shinaoka, Jan von Delft, Markus Wallerberger, Anna Kauch

“…We present an application of quantics tensor trains (QTTs) and tensor cross interpolation (TCI) to the solution of a full set of self-consistent equations for multivariate functions, the so-called parquet equations. …”
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Photon polarization tensor at finite temperature and density in a magnetic field by Kenji Fukushima, Yoshimasa Hidaka, Tomoya Uji

“…Abstract We present analytical and numerical calculations for the photon polarization tensor at finite temperature and density in a constant magnetic field. …”
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Some Identities for Generalized Curvature Tensors in 𝓑-Recurrent Finsler Space by Adel Mohammed Ali Al-qashbari

“…The purpose of the present paper is to consider and study a certain identities for some generalized curvature tensors in ℬ-recurrent Finsler space 𝐹𝑛 in which Cartan’s second curvature tensor 𝑃𝑗𝑘ℎ𝑖 satisfies the generalized of recurrence condition with respect to Berwald’s connection parameters G𝑘ℎ𝑖 which given by the condition ℬ𝑚𝑃𝑗𝑘ℎ𝑖=𝜆𝑚 𝑃𝑗𝑘ℎ𝑖+𝜇𝑚( 𝛿ℎ𝑖 𝑔𝑗𝑘− 𝛿𝑘𝑖 𝑔𝑗ℎ), where ℬ𝑚 is covariant derivative of first order (Berwald’s covariant differential operator ) with respect to 𝑥𝑚, it’s called a generalized ℬP-recurrent space. …”
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The Connectivity of the Human Pulvinar: A Diffusion Tensor Imaging Tractography Study by Sandra E. Leh, M. Mallar Chakravarty, Alain Ptito

“…Because methodological constraints limit investigations of the human pulvinar's function, its role could, up to now, only be inferred from animal studies. In the present study, we used an innovative imaging technique, Diffusion Tensor Imaging (DTI) tractography, to determine cortical and subcortical connections of the human pulvinar. …”
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Learning Parameter Dependence for Fourier-Based Option Pricing with Tensor Trains by Rihito Sakurai, Haruto Takahashi, Koichi Miyamoto

“…A recent study has proposed to use tensor train learning algorithms to speed up Fourier transform (FT)-based option pricing, utilizing the ability of tensor trains to compress high-dimensional tensors. …”
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A high-performance tensor computing unit for deep learning acceleration by Qiang Zhou, Tieli Sun, Taoran Shen, York Xue

“…Our first-generation deep learning accelerator, tensor computing unit, was presented with hardware and software solutions. …”
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Diffusion tensor imaging biomarkers for assessing cognitive and physical function in aging by Jungsoo Lee, Woohee Han, Hyunjin Kim

“…Abstract Background As the global population ages, the decline in cognitive and physical functions presents significant challenges for individuals and healthcare systems. …”
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On PTV definition for glioblastoma based on fiber tracking of diffusion tensor imaging data. by Barbara Witulla, Nicole Goerig, Florian Putz, Benjamin Frey, Tobias Engelhorn, Arnd Dörfler, Michael Uder, Rainer Fietkau, Christoph Bert, Frederik Bernd Laun

“…Following the planning target volume (PTV) definition procedure standardized in guidelines, a 20% risk of missing non-local recurrences is present. Purpose of this study was to evaluate whether diffusion tensor imaging (DTI)-based fiber tracking may be beneficial for PTV definition taking into account the prediction of distant recurrences. 56 GBM patients were examined with magnetic resonance imaging (MRI) including DTI performed before RT after resection of the primary tumor. …”
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A framework for locating multiple RFID tags using RF hologram tensors by Xiangyu Wang, Jian Zhang, Shiwen Mao, Senthilkumar CG Periaswamy, Justin Patton

“…In this paper, we present a Deep Neural Network (DNN) based framework that employs Radio Frequency (RF) hologram tensors to locate multiple Ultra-High Frequency (UHF) passive Radio-Frequency Identification (RFID) tags. …”
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Nonabelian embedding tensors on 3-Lie algebras and 3-Leibniz-Lie algebras by Wen Teng, Xiansheng Dai

“…First, we introduce the concept of nonabelian embedding tensors on 3-Lie algebras. Then, we present the concept of a 3-Leibniz-Lie algebra, which constitutes the fundamental algebraic framework for a nonabelian embedding tensor on a 3-Lie algebra. …”
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