Discrimination between <i>Mycobacterium tuberculosis</i> and <i>Mycobacterium bovis</i> using Fourier transform infrared spectroscopy. [PDF]
Guterres KB +9 more
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Artemisinin as a novel endodontic irrigant: <i>In vitro</i> assessment of antimicrobial, antioxidant, and Fourier transform infrared-based structural characterization. [PDF]
Jain N +5 more
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FFTMed: leveraging fast-fourier transform for a lightweight and adversarial-resilient medical image segmentation framework. [PDF]
Pham VT, Ha MH, Bui BVQ, Hy TS.
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Rapid single-live-cell scanning <i>via</i> Fourier-transform infrared (FTIR) microscopy to elucidate microplastic-cell interactions. [PDF]
Friedrich HKJ +4 more
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The Fourier transform and the discrete Fourier transform
Inverse Problems, 1989This paper gives an error bound in computing the Fourier transform for a square summable function by means of the discrete Fourier transform. In detail description, the error bound depends on the number of samples, the interval where the samples are taken, the interval where the Fourier transform is being approximated, the local averaging in the time ...
Auslander, Louis, Grünbaum, F. Alberto
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On Fourier Series on the Torus and Fourier Transforms
Mathematical Notes, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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To calculate a transform, just listen. The ear automatically performs the calculation, which the intellect can execute only after years of mathematical education. The ear formulates a transform by converting sound-the waves of pressure traveling through time and the atmosphere-into a spectrum, a description of the sound as a series of volumes at ...
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On Fourier-Stieltjes Transforms
Canadian Journal of Mathematics, 1955Let be the class of bounded non-decreasing functions defined on the real line which are normalized by the conditions ϕ(− ∞) = 0 , ϕ(t + 0) = ϕ(t).Let be the class of Fourier-Stieltjes transforms of elements of i.e. the elements of and are connected by the relationwhere ϕ ∊ and Φ ∊ .It is well known, and easy to verify that this mapping from to ...
Calderón, Alberto P., Devinatz, A.
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Accuracy of the Discrete Fourier Transform and the Fast Fourier Transform
SIAM Journal on Scientific Computing, 1996Accuracy of the discrete Fourier transform (DFT) and the fast Fourier transform (FFT) depends on the accuracy of the twiddle factors entirely. For accurate twiddle factor tables, this paper recommends to compute the sine/cosine functions with high precision arithmetic along the algorithms in terms of faster converging approximations, such as rational ...
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A novel approach to the definition of the roots of unity in the RNS (residue number system) is presented. The definition is based on a suitable polar representation of the complex residues. The resulting RNS Fourier transform provides an algorithm for performing circular convolutions characterized by flexibility in terms of length, computational cost ...
Pietro Burrascano +4 more
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