Results 31 to 40 of about 490,657 (289)
MathematicsIn the paper, the authors establish the monotonicity results of the ratios between normalized tails of the Maclaurin power series expansions of the sine and cosine functions and restate them in terms of the generalized hypergeometric functions.
Da-Wei Niu, Feng Qi
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SVU-International Journal of Veterinary Sciences, 2023 The aminoglycoside Gentamicin is a commonly used antibiotic counteracting the Gram-ve microorganisms. Rats administered with Gentamicin showing a reduced testicular weight and inhibited spermatogenesis, as gentamicin generates ROS, decreasing the ...
Maha Samy +5 more
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The distribution of the maximum of character sums
, 2012 We obtain explicit bounds on the moments of character sums, refining estimates of Montgomery and Vaughan. As an application we obtain results on the distribution of the maximal magnitude of character sums normalized by the square root of the modulus ...
Granville +2 more
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Some Properties of Normalized Tails of Maclaurin Power Series Expansions of Sine and Cosine
Fractal and FractionalIn the paper, the authors introduce two notions, the normalized remainders, or say, the normalized tails, of the Maclaurin power series expansions of the sine and cosine functions, derive two integral representations of the normalized tails, prove the ...
Tao Zhang +3 more
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Two particle model for studying the effects of space-charge force on strong head-tail instabilities
Physical Review Accelerators and Beams, 2016 In this paper, we present a new two particle model for studying the strong head-tail instabilities in the presence of the space-charge force. It is a simple expansion of the well-known two particle model for strong head-tail instability and is still ...
Yong Ho Chin +2 more
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Normalizing Batch Normalization for Long-Tailed Recognition
IEEE Transactions on Image ProcessingIn real-world scenarios, the number of training samples across classes usually subjects to a long-tailed distribution. The conventionally trained network may achieve unexpected inferior performance on the rare class compared to the frequent class. Most previous works attempt to rectify the network bias from the data-level or from the classifier-level ...
Yuxiang Bao +5 more
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Absolute Monotonicity of Normalized Tail of Power Series Expansion of Exponential Function
MathematicsIn this work, the author reviews the origination of normalized tails of the Maclaurin power series expansions of infinitely differentiable functions, presents that the ratio between two normalized tails of the Maclaurin power series expansion of the ...
Feng Qi
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Structure of normal and contracted tail sheaths of T4 bacteriophage [PDF]
Journal of Molecular Biology, 1967 Abstract The structural arrangement of protein subunits in extended and contracted tail sheaths of T4 bacteriophage has been studied by optical diffractometry of electron micrographs. The analysis of such diffraction patterns shows that the extended sheath consists of annuli of six subunits, these being arranged in a helix of close to seven annuli in
Krimm, Samuel, Anderson, T. F.
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Generalizing over Long Tail Concepts for Medical Term Normalization
Proceedings of the 2022 Conference on Empirical Methods in Natural Language Processing, 2022 Medical term normalization consists in mapping a piece of text to a large number of output classes. Given the small size of the annotated datasets and the extremely long tail distribution of the concepts, it is of utmost importance to develop models that are capable to generalize to scarce or unseen concepts.
Portelli, Beatrice +5 more
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Dynamic Bivariate Normal Copula
, 2015 Normal copula with a correlation coefficient between $-1$ and $1$ is tail independent and so it severely underestimates extreme probabilities. By letting the correlation coefficient in a normal copula depend on the sample size, H\"usler and Reiss (1989 ...
Liao, Xin +3 more
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