Graphs of exponential functions: examining the distinctive curve of exponential growth and decay Graphs of logarithmic functions: analysing how logarithmic functions represent the inverse of ...

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 ...

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: This paper proposes a novel approximation for the exponential integral function, E 1 [x], using a sum of exponential functions. This approximation ...

This is a preview. Log in through your library . Abstract It is shown that for wave functions of the form Ψ = Σk Ck exp (-Qk), where Qk is any positive definite quadratic form in the Cartesian ...

Integrals which are individually singular, but which may be combined to yield convergent expressions, are needed for computations of relativistic effects and various properties of atomic and ...

Mathematics Magazine presents articles and notes on undergraduate mathematical topics in a lively expository style that appeals to students and faculty throughout the undergraduate years. The journal ...

This course introduces students to topics in mathematics that have real-world applications, include sets and Venn diagrams, counting principles; basic concepts of probability, conditional probability ...

Data from an experiment may result in a graph indicating exponential growth. This implies the formula of this growth is \(y = k{x^n}\), where \(k\) and \(n\) are constants. Using logarithms, we can ...