Results 1 to 10 of about 12,136,617 (181)
An Integral Representation of the Logarithmic Function with Applications in Information Theory. [PDF]
Entropy (Basel), 2019 We explore a well-known integral representation of the logarithmic function, and demonstrate its usefulness in obtaining compact, easily computable exact formulas for quantities that involve expectations and higher moments of the logarithm of a positive ...
Merhav N, Sason I.
europepmc +3 more sources
Stabilizing a Rotary Inverted Pendulum Based on Logarithmic Lyapunov Function
Journal of Control Science and Engineering, 2017 The stabilization of a Rotary Inverted Pendulum based on Lyapunov stability theorem is investigated in this paper. The key of designing control laws by Lyapunov control method is the construction of Lyapunov function.
Jie Wen, Yuanhao Shi, Xiaonong Lu
doaj +2 more sources
Splines and the logarithmic function [PDF]
Pacific Journal of Mathematics, 1975 Abstract : Let q be fixed, q>1, and let f(x) = log x/log q in (0, pos infinity). The paper determines the unique spline function (S sub n)(x), of degree n, defined in (0, pos infinity) and having as knots the points of the sequence (q sup nu) (neg infinity 0, and (S sub n)(1) = 0. It follows that (S sub n)(q nu) = f(q sup nu) for all integers nu.
Newman, D. J., Schoenberg, I. J.
openaire +4 more sources
A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function [PDF]
Journal of Inequalities and Applications, 2017 By means of the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of logarithmic function and a best possible constant factor is given ...
Aizhen Wang, Bicheng Yang
doaj +2 more sources
Predicting recovery of cognitive function soon after stroke: differential modeling of logarithmic and linear regression. [PDF]
PLoS ONE, 2013 Cognitive disorders in the acute stage of stroke are common and are important independent predictors of adverse outcome in the long term. Despite the impact of cognitive disorders on both patients and their families, it is still difficult to predict the ...
Makoto Suzuki +5 more
doaj +2 more sources
The compound logarithmic function
Mathematica Slovaca, 2013 Abstract We define the compound logarithmic function on simple connected region. As an application of such function, we point out a slight mistake of Hayman in his proof for logarithmic derivative theorem (Lemma 2.3, Page 36), in his book Meromorphic Functions, published in 1964. We modify his proof.
Zhendong Gu, Daochun Sun
openaire +2 more sources
Tensor Recovery Based on a Novel Non-Convex Function Minimax Logarithmic Concave Penalty Function [PDF]
IEEE Transactions on Image Processing, 2022 Non-convex relaxation methods have been widely used in tensor recovery problems, compared with convex relaxation methods, and can achieve better recovery results.
Hongbing Zhang +5 more
semanticscholar +1 more source
A novel kind of beta logarithmic function and their properties
Hacettepe Journal of Mathematics and Statistics, 2022 The main objective is to introduce a novel kind of beta function known as the beta logarithmic function using extended beta functions and logarithmic mean.
N. Khan, Saddam Husain, Owais Khan
semanticscholar +1 more source
Highly Contrast Image Correction for Dim Boundary Separation of Image Semantic Segmentation
IEEE Access, 2021 The efficiency and accuracy of the image semantic segmentation algorithm represent a trade-off relationship, and the loss of accuracy tends to increase as the model structure simplifies to improve efficiency.
Jinyeob Choi, Byeongdae Choi
doaj +1 more source
Fractal and Fractional, 2022 The logarithmic functions have been used in a verity of areas of mathematics and other sciences. As far as we know, no one has used the coefficients of logarithmic functions to determine the bounds for the third Hankel determinant.
B. Khan +3 more
semanticscholar +1 more source