Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

Copyright © 2014 Mitsunobu Miyake. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use ...

This note elaborates Suppes’ (1977, Erkenntnis Vol. 11, No. 1, pp 233-250) derivation of the logarithmic function as a consumer’s cardinal utility function on money income levels, in which the ...

A production function describes the relation between output and the inputs to a given process. A simple production function might relate output to two inputs, labor and capital. (Capital typically ...

Abstract: An improved variable step size LMS algorithm based on logarithmic function is proposed. By improving the nonlinear-function relationship between the step ...

Logarithmic functions are an essential part of many mathematical and scientific concepts. These functions have several properties that can help us solve complex equations and understand the behavior ...

Exponential and logarithmic functions are mathematical concepts with wide-ranging applications. Exponential functions are commonly used to model phenomena such as population growth, the spread of ...

Abstract: In this paper, we investigate the use of relaxed logarithmic barrier functions in the context of linear model predictive control. We present results that allow to guarantee asymptotic ...

A logarithm is the power which a certain number is raised to get another number. Before calculators and various types of complex computers were invented it was difficult for scientists and ...