Math, Computer Science, Microcontrollers, and much more!
During the 6th semester of my BSc studies I have chosen to attend a seminar on Theoretical Computer Science. My task was to present the topic “polynomial-time approximation schemes” to the others. In this article I am sharing the work. […]
In the field of linear algebra there are variety of different matrix types. Each has its own definition and relevance. I had trouble finding a good overview online and thought I’d compile a list myself: This article lists a selection […]
In June 2017, Vaswani et al. published the paper “Attention Is All You Need” describing the “Transformer” architecture, which is a purely attention based sequence to sequence model. It can be applied to many tasks, such as language translation and text […]
From November, 13th 2017 to June, 9th 2018, a friend and I were working our way through the 1285 pages of “Haskell Programming – from first principles” by Christopher Allen and Julie Moronuki. That’s more than six pages per day! While reading […]
In this article we define and publish the exact pre-flop probabilities for each possible combination of two hands in Textas Hold’em poker. An online tool at tools.timodenk.com/poker-odds-pre-flop makes the data visually accessible.
The LaTeX package tikz contains a set of commands that can render vector based graphs and plots. This post contains several examples which are intended to be used as a cut-and-paste boilerplate. Each sample comes with a screenshot and a […]
This post functions as a quick development update on the Math to Image Conversion Bot (on Telegram), the TeX math to image conversion tool (at tools.timodenk.com), and the API that serves them both. The objective is to convert TeX math-code into images.
In the field of computer science, a graph is an abstract data type that is widely used to represent connections and relationships. This post gives an overview about a selection of definitions, terms, and algorithms, which are related to graphs. […]
The least squares optimization problem searches for a vector, that minimizes the euclidean norm in the following statement as much as possible: $$x_\text{opt}=\arg\min_x\frac{1}{2}\left\lVert Ax-y\right\rVert^2_2\,.$$This article explains how $x_\text{opt}=(A^\top A)^{-1}A^\top y$, the solution to the problem, can be derived and how […]
Cubic spline interpolation is a mathematical method commonly used to construct new points within the boundaries of a set of known points. These new points are function values of an interpolation function (referred to as spline), which itself consists of […]