An Almost Optimal Algorithm for Computing Nonnegative Rank by Moitra, Ankur

“…Here, we give an algorithm for deciding if the nonnegative rank of a matrix M of dimension m \times n$ is at most r which runs in time (nm)[superscript O(r2)]. …”
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Design of an overmoded W-Band coupled cavity TWT by Comfoltey, Edward Nicholas

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Fog based intelligent transportation big data analytics in the internet of vehicles environment: motivations, architecture, challenges, and critical issues by Darwish, T. S. J., Abu Bakar, K.

“…The proposed architecture merges three dimensions including intelligent computing (i.e. cloud and fog computing) dimension, real-time big data analytics dimension, and IoV dimension. …”
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An Improved Method Combining CNN and 1D-Var for the Retrieval of Atmospheric Humidity Profiles from FY-4A/GIIRS Hyperspectral Data by Pengyu Huang, Qiang Guo, Changpei Han, Huangwei Tu, Chunming Zhang, Tianhang Yang, Shuo Huang

“…We fully utilized the information provided by the observation and forecast data, and used the two-dimensional brightness temperature data with the dimension of time and optical spectrum as the input of the CNN (convolution neural network model). …”
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Hospital crowdedness evaluation and in-hospital resource allocation based on image recognition technology by Lijia Deng, Fan Cheng, Xiang Gao, Wenya Yu, Jianwei Shi, Liang Zhou, Lulu Zhang, Meina Li, Zhaoxin Wang, Yu-Dong Zhang, Yipeng Lv

“…In the time dimension, diagnosis time and time-consuming after diagnosis are calculated from visit records. …”
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Bragg-Grating-Based Photonic Strain and Temperature Sensor Foils Realized Using Imprinting and Operating at Very Near Infrared Wavelengths by Jeroen Missinne, Nuria Teigell Benéitez, Marie-Aline Mattelin, Alfredo Lamberti, Geert Luyckx, Wim Van Paepegem, Geert Van Steenberge

“…This was accomplished by imprinting gratings with pitches 280 nm, 285 nm, and 290 nm at the core-cladding interface of an imprinted single mode waveguide with cross-sectional dimensions 3 × 3 µm2. We show that it is possible to realize high-quality imprinted single mode waveguides, with gratings, having only a very thin residual layer which is important to limit bend losses or cross-talk with neighboring waveguides. …”
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Deleuze e o Cinema: a tendência aquosa no cristal rachado em Jean Renoir by TARSILA COSTA CONRADO DOS SANTOS

“…I will give an account of the metamorphic process by which the crystalline descriptions in their physical and metaphysical expressions manifest in a multiplicity arising from the inorganic dimension of time. Keywords: Gilles Deleuze. Picture-time. …”
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Remote sensing image analysis and prediction based on improved Pix2Pix model for water environment protection of smart cities by Li Wang, Wenhao Li, Xiaoyi Wang, Jiping Xu

“…The improved Pix2Pix model no longer translates images, but can predict two dimensions of space and one dimension of time, so it is actually a 3D-GAN model. Third, remote sensing image inversion data of chlorophyll-a concentrations in the Taihu Lake basin are used to verify and predict the water environment at future moments. …”
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Holographic view of non-relativistic physics by Balasubramanian, Koushik

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On two resolvent matrices of the truncated Hausdorff matrix moment problem by A. E. Choque-Rivero, B. E. Medina-Hernandez

“…The resolvent matrix of the THMM problem in the non degenerate case for matrix moments of dimension $q\times q$, is a $2q\times 2q$ matrix polynomial constructed via the given moments. …”
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Heidegger’s Attitude in Kant and Problem of Metaphysics to the Temporal Aspect of Images in Kant’s Pre-Critique and Critical Period by Seyed Sam Ghazanfari, Farideh Afarin

“…Based on the temporal aspect, we can say the function of imagination is forming to the present, past, and future dimension of time which is corresponded to the dasein’s forms of existence.…”
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Visualisasi Data Kriminal Wilayah Polres Musi Banyuasin by Fitri Purwaningtias, Muhamad Ariandi, Maria Ulfa

“…Where in this study resulted in several dimensions, namely the case dimension, the dimension based on the job, the age based dimension, the time based dimension and the regional dimension. …”
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Supervised learning in multilayer spiking neural network by Shrestha, Sumit Bam

“…Since spikes are events in time, there is an extra dimension of time along with amplitude in SNNs which makes them suited to temporal processes. …”
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Planck Constants in the Symmetry Breaking Quantum Gravity by Grigory E. Volovik

“…As a result they have non-zero dimensions—the dimension of time for <i>ℏ</i> and dimension of length for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>/</mo><mspace width="-0.08em"></mspace><mspace width="-0.166667em"></mspace><mspace width="-0.166667em"></mspace><mi>h</mi></mrow></semantics></math></inline-formula>. …”
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Still safe? Still in their hands? An evaluation of NHS privatisation in England since 2010 by Goodair, B

“…We make an important contribution by including the dimension of time to aggregate the evaluations of transfers from public to private healthcare provision. …”

Self and Other in Sadegh Hedayat’s “The Stray Dog” and Paul Auster’s Timbuktu: A Comparative Study by Ali Ziaaddini Dashtekhaki, Nahid Fakhrshafaie

“…The study also addresses eschatology in the narratives in terms of the dimension of time and space. The eschatological journey of Pat and Mr. …”
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Development of interpretable spiking neural network for multiclass classification by Jeyasothy, Abeegithan

“…This provides an additional dimension of time in SNN for processing the inputs. SNN's way of information processing is more biologically realistic and computationally more powerful than Analog Neural Networks (An-NNs). …”
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Divje babe I - poskus uporabe statistične analize množičnih živalskih ostankov v paleolitski arheologiji. I. Določljivi skeletni ostanki jamskega medveda by Ivan Turk, Janez Dirjec

“…Since it is impossible to make an entry of each skeletal fragment in the coordinate system for practical reasons, the vertical - representing the dimension of time - may have a tendency to exhibit remarkable divergencies between the curve representing the actual (yet unknown) distribution of all skeletal remains and the curve representing the empirical distribution that had been arrived at in consequence of our adopted manner of sampling by sq. metres and by excavation units. …”
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Time and Architecture by Massimo Lauria, Riccardo Pollo

“…In recent days, humanity has experienced a new dimension of time, that of the pandemic. A time that we perceived suspended and widened. …”
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