A system of linear ordinary differential equations with exponential coefficients is considered; several theorems are presented concerning general solutions and their asymptotic forms for large values ...

\({\log _a}a = 1\) (since \({a^1} = a\)) so \({\log _7}7 = 1\) \({\log _a}1 = 0\) (since \({a^0} = 1\)) so \({\log _{20}}1 = 0\) \({\log _a}p + {\log _a}q = {\log _a ...

A clash between linear and exponential systems is coming. What’s a linear system? Think governments, politicians, regulators, large and slow-moving legacy companies, and the like…. What’s an ...

We consider, in an abstract setting, an instance of the Coleman-Gurtin model for heat conduction with memory, that is, the Volterra integro-differential equation ${\partial _t}u(t) - \beta \Delta u(t) ...

Expertise from Forbes Councils members, operated under license. Opinions expressed are those of the author. In today's rapidly evolving world, technology and innovation are advancing at an exponential ...

Microeconomics can be math-intensive. Fundamental microeconomic assumptions about scarcity, human choice, rationality, ordinal preferences, or exchange do not require advanced mathematical skills.

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 ...