Results 11 to 20 of about 565,015 (288)
Convolutions involving the exponential function and the exponential integral [PDF]
Mathematica Moravica, 2015 The exponential integral ei(λx) and its associated functions ei+(λx) and ei-(λx) are defined as locally summable functions on the real line and their derivatives are found as distributions.
Fisher Brian, Al-Sirehy Fatma
doaj +4 more sources
Functions of exponential type [PDF]
Transactions of the American Mathematical Society, 1969 (1.5) If'(x)l _ MT12. In this paper we develop a unified method for arriving at these inequalities. In spite of being extremely simple, the method turns out to be very useful and effective. Not only does it give simpler proofs of the above results but yields interesting generalizations as well.
Q. I. Rahman
+5 more sources
The Jacobian of the Exponential Function [PDF]
SSRN Electronic Journal, 2020 We derive closed-form expressions for the Jacobian of the matrix exponential function for both diagonalizable and defective matrices. The results are applied to two cases of interest in macroeconometrics: a continuous-time macro model and the parameterization of rota- tion matrices governing impulse response functions in structural vector ...
Jan R. Magnus +3 more
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On the Exponential Integrability of Conjugate Functions [PDF]
Journal of Fourier Analysis and Applications, 2021 AbstractWe relate the exponential integrability of the conjugate function$${\tilde{f}}$$f~to the size of the gap in the essential range off. Our main result complements a related theorem of Zygmund.
Santeri Miihkinen +3 more
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Semi‐supervised classification of fundus images combined with CNN and GCN
Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Purpose Diabetic retinopathy (DR) is one of the most serious complications of diabetes, which is a kind of fundus lesion with specific changes. Early diagnosis of DR can effectively reduce the visual damage caused by DR. Due to the variety and different morphology of DR lesions, automatic classification of fundus images in mass screening can ...
Sixu Duan +8 more
wiley +1 more source
Uniqueness of radiomic features in non‐small cell lung cancer
Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Purpose The uniqueness of radiomic features, combined with their reproducibility, determines the reliability of radiomic studies. This study is to test the hypothesis that radiomic features extracted from a defined region of interest (ROI) are unique to the underlying structure (e.g., tumor). Approach Two cohorts of non‐small cell lung cancer (
Gary Ge, Jie Zhang
wiley +1 more source
Exponential functionals of Lévy processes [PDF]
Probability Surveys, 2005 This text surveys properties and applications of the exponential functional $\int_0^t\exp(- _s)ds$ of real-valued L vy processes $ =( _t,t\geq0)$.
Bertoin, Jean, Yor, Marc
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International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
AIMD algorithms and exponential functionals [PDF]
The Annals of Applied Probability, 2004 The behavior of connection transmitting packets into a network according to a general additive-increase multiplicative-decrease (AIMD) algorithm is investigated. It is assumed that loss of packets occurs in clumps. When a packet is lost, a certain number of subsequent packets are also lost (correlated losses).
Guillemin, Fabrice +2 more
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