Guess Solutions of Polynomials

For a given polynomial of $n$th degree $$P_n(x)=\sum_{i=0}^n a_ix^i = a_nx^n+a_{n-1}x^{n-1}+…+a_1x+a_0$$ you can guess rational solutions $x$ for the corresponding problem $P_n(x)=0$ by applying the following two rules: $$x=\frac{p}{q}\text{, with } p \in \mathbb{Z} \land q \in \mathbb{N}\land p\mid a_0 \land q\mid a_n$$ $$\lvert x\rvert\le2\cdot \max\left\lbrace \sqrt[k]{\frac{\lvert a_{n-k}\rvert}{\lvert a_n\rvert}}, k=1, …, n\right\rbrace$$ Example The equations above might …

Buzz Wire TFT (Teensy Project)

Arduino powered Version of the game Buzz Wire with a TFT touch screen. This project was developed for Denk Development‘s customer Kreative Kiste. Features Single- and multiplayer Multiplayer scoreboard Touchscreen name input Video

ABAP Objects Quick Reference

This is the second (and final) part of a quick reference for the programming language ABAP. Extending the first part, this one is primarily focusing on ABAP’s object oriented programming features, like classes, OOP-exceptions, and inheritance. The first part can be found here: ABAP Quick Reference Encapsulation using function groups FUNCTION-POOL s_person. * age is a global …

ABAP Quick Reference

This is the first of two posts, providing a quick reference for ABAP developers. It primarily consists of code examples and doesn’t include major object oriented programming features, introduced in newer language versions. The second part of this series, targeting OOP related topics, can be found here: ABAP Objects Quick Reference ABAP (Advanced Business Application …

Trigonometric Functions Formulary

This formulary has been created during the online onboarding process at Baden-Wuerttemberg Cooperative State University (DHBW). It is suitable for the related online tests and might be helpful for other people, seeking for formulas in this field of mathematics. Basics $$\begin{array}{l} \tan x = \frac{{\sin x}}{{\cos x}}\\ \cot x = {\tan ^{ – 1}}x = \frac{{\cos x}}{{\sin …