Results 161 to 170 of about 12,715,680 (227)

3D Segmentation with Exponential Logarithmic Loss for Highly Unbalanced Object Sizes

International Conference on Medical Image Computing and Computer-Assisted Intervention, 2018
With the introduction of fully convolutional neural networks, deep learning has raised the benchmark for medical image segmentation on both speed and accuracy, and different networks have been proposed for 2D and 3D segmentation with promising results ...
Ken C. L. Wong, Mehdi Moradi, Hui Tang, T. Syeda-Mahmood   +3 more
semanticscholar   +1 more source

Logarithmic Functional Equations

2011
It is not difficult to demonstrate the Hyers–Ulam stability of the logarithmic functional equation \(f(xy)=f(x)+f(y)\ {\rm for\ functions}\ f:(0,\infty)\rightarrow E\), where E is a Banach space. More precisely, if a function \(f:(0,\infty)\rightarrow E\) satisfies the functional inequality \(\| f(xy)-f(x)-f(y)\| \leq \delta\ {\rm for\ some}\ \delta ...
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Another logarithmic functional equation

aequationes mathematicae, 1999
The author shows that for real valued functions \(f\) from the set of positive reals \((0, \infty)\) into the set of real numbers \( R\), the classical Cauchy equation \( f(xy)=f(x) + f(y) \) is equivalent to the condition: \( f(x + y) - f(x) - f(y) = f(x^{-1} + y^{-1})\).
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Exponential and Logarithmic Functions I

1971
In the preceding chapter we carefully avoided applying calculus to exponential and logarithmic functions although these functions are of fundamental importance for all kinds of mathematical and statistical treatment in the life sciences.
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Exponential and logarithmic functions

1978
All of the functions we have considered so far have been algebraic functions. An algebraic function is a function involving only the operations of addition, subtraction, multiplication, division, powers, and extraction of roots of expressions of the form a·x n , where a and n are real constants.
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Logarithms and Exponential Functions

1991
When you have finished working through this chapter you should be able to 1. manipulate positive, negative and fractional indices in algebraic expressions 2. recognize and manipulate surds 3. understand the components of a function and functional notation 4. explain what is meant by an inverse function
John Berry, Patrick Wainwright
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Fractional derivative of logarithmic function and its applications as multipurpose ASP circuit

Analog Integrated Circuits and Signal Processing, 2018
S. Mishra, Maneesha Gupta, D. Upadhyay
semanticscholar   +1 more source

Path planning of mobile robots based on logarithmic function adaptive artificial fish swarm algorithm

Cybersecurity and Cyberforensics Conference, 2017
Yiqing Huang, Panpan Wang, M. Yuan, Ming Jiang   +3 more
semanticscholar   +1 more source

Shear deformation theory using logarithmic function for thick circular beams and analytical solution for bi-directional functionally graded circular beams

, 2017
Anup Pydah, R. Batra
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Logarithmic and Exponential Functions

2013
The entire algebra of logarithm is based on the following definition: The logarithm of a number a to the base b is a number c such that a can be expressed as b to the power c.
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