What is an Exponential Function? At its core, an exponential function describes a situation where the rate of growth is proportional to its current value. Imagine a snowball rolling down a hill, ...

We study the asymptotics for sparse exponential random graph models where the parameters may depend on the number of vertices of the graph. We obtain exact estimates for the mean and variance of the ...

Venture capital firms use a variety of accumulated resources to inform their investment activities, but do the rely solely on their own resources or do they employ other firms' resources to complement ...

Advances in Applied Probability, Vol. 50, No. 1 (2018), pp. 272-301 (30 pages) We consider a family of directed exponential random graph models parametrized by edges and outward stars. Much of the ...

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: The natural exponential function is an important basic arithmetic function with a wide application in many fields such as artificial intelligence. In order to satisfy the demands of ...

Author Name Hazem KRICHENE (University of Hyogo) / ARATA Yoshiyuki (Fellow, RIETI) / Abhijit CHAKRABORTY (University of Hyogo) / FUJIWARA Yoshi (University of Hyogo) / INOUE Hiroyasu (University of ...