Abstract: We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient conditions for ...

First-order derivatives: n additional function calls are needed. Second-order derivatives based on gradient calls, when the "grd" module is specified (Dennis and Schnabel 1983): n additional gradient ...

Abstract: In this paper we propose a compositional framework for the construction of approximations of the interconnection of a class of stochastic hybrid systems. As special cases, this class of ...

While building a simpler model for particle interactions, scientists made a sleek new pi. Representations of pi help scientists use values close to real life without storing a million digits. The ...

Pi Approximation Day occurs every July 22nd. It celebrates pi, a key mathematical constant. Pi relates a circle's circumference to its diameter. William Jones introduced the π symbol in 1706.

Pi Approximation Day 2025 is celebrated on 22 July, marking the mathematical significance of the fraction 22/7, a widely used approximation of pi. This special day honors the constant pi (π), which ...

In simple terms, approximation means replacing actual numbers with their nearby simple values to make calculations faster. For example, instead of multiplying 19.9 with 5.1, you can take them as 20 ...

Abweichend von den allgemeinen Grundsätzen des § 7 Abs. 1 EStG sind abweichende Regelungen für Gebäude in § 7 Abs. 4 EStG (lineare AfA) und § 7 Abs. 5 EStG (degressive AfA) festgelegt. Die ...

Die beiden gängigsten Abschreibungsarten für Unternehmen sind die lineare und degressive Abschreibung. Wie Unternehmen diese beiden Abschreibungsarten berechnen können, was sie bei der Anwendung ...

Bei statistischen Auswertungen von medizinischen Daten besteht das Ziel oft darin, Zusammenhänge zwischen zwei oder mehreren Variablen zu beschreiben. Es ist beispielsweise nicht nur interessant, ob ...